Chapter IV. (Ship Hydro-Statics & Dynamics) Floatation & Stability
|
|
- Beatrix Golden
- 6 years ago
- Views:
Transcription
1 Chapter V (Ship Hydro-Statics & Dynamics) Floatation & Stability 4.1 mportant Hydro-Static Curves or Relations (see Fig at p44 & handout) Displacement Curves (displacement [molded, total] vs. draft, weight [SW, FW] vs. draft (T)) Coefficients Curves (C B, C M, C P, C WL, vs. T) VCB (KB, Z B ): Vertical distance of Center of Buoyancy (C.B) to the baseline vs. T LCB (LCF, X B ): Longitudinal Distance of C.B or floatation center (C.F) to the midship vs. T 1
2 4.1 mportant Hydro-Static Curves or Relations (Continue) TP: Tons per inch vs. T (increase in buoyancy due to per inch increase in draft) Bonbjean Curves (p63-66) a) Outline profile of a hull b) Curves of areas of transverse sections (stations) c) Drafts scales d) Purpose: compute disp. & C.B., when the vessel has 1) a large trim, or )is poised on a big wave crest or trough.
3 How to use Bonjean Curves Draw the given W.L. Find the intersection of the W.L. & each station Find the immersed area of each station Use numerical integration to find the disp. and C.B. 4. How to Compute these curves Formulas for Area, Moments & Moments of nertia a) Area d ydx A ydx, A b) Moments d xydx M xydx, M Center of Floatation x M / A c) Moments of nertia d x d x ydx L 0, C. F 0 0 x ydx x A L 0 L 0 A 3
4 Examples of Hand Computation of Displacement Sheet (Foundation for Numerical Programming) Area, floatation, etc of 4 WL (Waterplane) Displacement (molded) up to 8 WL Displacement (molded) up to 4 and 40 WL (vertical summation of waterplanes) Displacement (molded) up to 4 and 40 WL (Longitudinal summation of stations) Wetted surface Summary of results of Calculations 4 wl area 3 wl area Disp. Up to 4 wl 8 wl area 40 wl area Disp. Up to 16 wl 16 wl area Up to 4 wl Up to 4 & 40 wl 4 wl area Up to 8 wl MT MT Wetted surface Red sheet will be studied in detail 1-6 Areas & properties (F.C., c, etc) of W.L 7-11 Displacement, Z B, and X B up W.L., vertical integration Transverse station area, longitudinal integration for displacement, Z B, and X B Specific Feature (wetted surface, MT, etc. Disp. Up to 40 wl Disp. Up to 3 wl Summary 19 Summary 4
5 m1 S 3 S The distance between the two stations Simpson's 1st 3 1 y0 y1 3 y y 3 1 y0 y y1 y.. 4 Symmetric Formulas for the remaining coefficents m S S 3 the distance between the two stations Simpson's 1st rule coeff.; - Symmetric 3 3 m3 S y m 4 S ( from ) h h m5 S, m6 S m i 5
6 llustration of Table 4: C1 Station FP-0 AP-10 (half station) C C3 Half Ordinate copy from line drawing table ( 4 WL). (notice at FP. Modification of half ordinate) Simpson coefficient (Simpson rule 1) (1/ because of half station) C4 = C3 x C (area function) displacement C5 = Arm (The distance between a station and station of 5 (Midship) C6 = C5 x Function of Longitudinal Moment with respect to Midship (or station 5) C7 = Arm (same as C5) C8 = C6 x C7 Function of Longitudinal moment of inertia with respect to Midship. C9.= [C] 3 C10. Same as C3. (Simpson Coeff.) C11. = C9 x C10. Transverse moment of inertia of WL about its centerline Table 5 is similar to Table 4, except the additional computation of appendage. 6
7 llustration of Table 8 For low WLs, their change is large. Therefore, it is first to use planimeter or other means to compute the half-areas of each stations up to No. 1 WL (8 WL). C1. Station C. Half area (ft ) of the given station C3.C3/(h/3) ( divided by h/3 is not meaningful, because it later multiplying by h/3) (h = 8 the distance between the two neighboring WLs) C4.½ Simpson s Coeff. C5. C4 x C3 C6.Arm distance between this station and station 5 (midship) C7 C5 x C6 f(m) 7
8 llustration of Table 9 C1. WL No. C. f(v) Notice first row up to 8. f(v) C3. Simpson s coeff. C4. C x C3 C5. Vertical Arm above the base C6. C4 x C5. f(m) vertical moment w.r.t. the Baseline. * Notice up the data in the first row is related to displacement up to 8 WL. The Table just adding V) 8
9 llustration of Table 1 C1. Station No. C. under 8 WL. (From Table 8) C3. 8 WL x 1 C4. 16 WL x ¼ (SM ) C5. 4 WL x 1 C6. (C + C3 + C4 + C5) Function of Area of Stations C7. Arm (Distance between this station to midship) C8. C7 x C6 (Simpson rule) C9. C6*h/3 9
10 4.3 Stability A floating body reaches to an equilibrium state, if 1) its weight = the buoyancy ) the line of action of these two forces become collinear. The equilibrium: stable, or unstable or neutrally stable. Stable equilibrium: if it is slightly displaced from its equilibrium position and will return to that position. Unstable equilibrium: if it is slightly displaced form its equilibrium position and tends to move farther away from this position. Neutral equilibrium: if it is displaced slightly from this position and will remain in the new position. 10
11 Motion of a Ship: 6 degrees of freedom - Surge - Sway - Heave - Roll - Pitch - Yaw Axis Translation Rotation x Longitudinal Surge Neutral S. Roll S. NS. US y Transverse Sway Neutral S. Pitch S. z Vertical Heave S. (for sub, N.S.) Yaw NS Righting & Heeling Moments A ship or a submarine is designed to float in the upright position. Righting Moment: exists at any angle of inclination where the forces of weight and buoyancy act to move the ship toward the upright position. Heeling Moment: exists at any angle of inclination where the forces of weight and buoyancy act to move the ship away from the upright position. 11
12 For a displacement ship, W.L G---Center of Gravity, B---Center of Buoyancy M--- Transverse Metacenter, to be defined later. f M is above G, we will have a righting moment, and if M is below G, then we have a heeling moment. For submarines (immersed in water) B G G f B is above G, we have righting moment f B is below G, we have heeling moment 1
13 Upsetting Forces (overturning moments) Beam wind, wave & current pressure Lifting a weight (when the ship is loading or unloading in the harbor.) Offside weight (C.G is no longer at the center line) The loss of part of buoyancy due to damage (partially flooded, C.B. is no longer at the center line) Turning Grounding Longitudinal Equilibrium For an undamaged (intact) ship, we are usually only interested in determining the ship s draft and trim regarding the longitudinal equilibrium because the ship capsizing in the longitudinal direction is almost impossible. We only study the initial stability for the longitudinal equilibrium. 13
14 Static Stability & Dynamical Stability Static Stability: Studying the magnitude of the righting moment given the inclination (angle) of the ship*. Dynamic Stability: Calculating the amount of work done by the righting moment given the inclination of the ship. The study of dynamic Stability is based on the study of static stability. Static Stability 1) The initial stability (aka stability at small inclination) and, ) the stability at large inclinations. The initial (or small angle) stability: studies the right moments or right arm at small inclination angles. The stability at large inclination (angle): computes the right moments (or right arms) as function of the inclination angle, up to a limit angle at which the ship may lose its stability (capsizes). Hence, the initial stability can be viewed as a special case of the latter. 14
15 nitial stability Righting Arm: A symmetric ship is inclined at a small angle dφ. C.B has moved off the ship s centerline as the result of the inclination. The distance between the action of buoyancy and weight, GZ, is called righting arm. Transverse Metacenter: A vertical line through the C.B intersects the original vertical centerline at point, M. GZ GM sin d GMd if d 1 Location of the Transverse Metacenter Transverse metacentric height : the distance between the C.G. and M (GM). t is important as an index of transverse stability at small angles of inclination. GZ is positive, if the moment is righting moment. M should be above C.G, if GZ >0. f we know the location of M, we may find GM, and thus the righting arm GZ or righting moment can be determined given a small angle dφ. How to determine the location of M? 15
16 When a ship is inclined at small angle dφ WoLo Waterline (W.L) at upright position W 1 L 1 nclined W.L Bo C.B. at upright position, B 1 C.B. at inclined position - The displacement (volume) of the ship v 1, v The volume of the emerged and immersed g 1, g C.G. of the emerged and immersed wedge, respectively Equivolume nclination (v 1 =v ) f the ship is wall-sided with the range of inclinations of a small angle dφ, then the volume v 1 and v, of the two wedges between the two waterlines will be same. Thus, the displacements under the waterlines WoLo and W 1 L 1 will be same. This inclination is called equivolume inclination. Thus, the intersection of WoLo, and W 1 L 1 is at the longitudinal midsection. For most ships, while they may be wall-sided in the vicinity of WL near their midship section, they are not wall-sided near their sterns and bows. However, at a small angle of inclination, we may still approximately treat them as equivolume inclination. 16
17 When a ship is at equivolume inclination, vg1g B0B1, v1 v v According to a theorem from mechanics, if one of the bodies constituting a system moves in a direction, the C.G. of the whole system moves in the same direction parallel to the shift of the C.G. of that body. The shift of the C.G. of the system and the shift of the C.G of the shifted body are in the inverse ratio of their weights. L 3 y dx B0B1 vg1g 3 0 x B0M, tan( d) tan( d) L 1 L 3 L 3 vg1g y ( y tan d) ( y) dx tan d, y dx 0 x 3 y dx 0 the moment of inertia of W L w.r.t. the longitudinal axis x 0 0 For a ship inclined at a small angle d, the location of its transverse metacenter is approximately above its x C.B. by, which is independent of d. K. M. (Metacenter measured from keel ), or H M is the height of metacenter above the baseline. x K.M. = H M = + ZB, where Z is the vertical coordinates of the C.B. B The vertical distance between the metacenter & C.G, GM H Z + Z Z x M G B G. 17
18 f we know the vertical position of the C.G., Z and the C.B., Z the righting arm at small angles of inclination, d, B G x GZ GM d ZB ZG d and the righting moment is x M w ZB Zg d. Examples of computing KM d d B B a) Rectangular cross section d 1 3 ZB, x LB, LBd 1 x B BM 1d B d KM BM ZB 1d b) Triangular cross section d ZB, x LB, LBd 3 1 x B BM 6d B d KM BM ZB 6d 3 18
19 Natural frequency of Rolling of A Ship Free vibration M X w GM t where w GM M M X X 0 is the inertia moment of the ship w.r.t. C.G. A large GM leads to a higher natural freq. 4.4Effects of free surfaces of liquids on the righting arm pp81-83 When a liquid tank in a ship is not full, there is a free surface in this tank. The effect of the free surface of liquids on the initial stability of the ship is to decrease the righting arm. For a small parallel angle inclination, the movement of C.G of liquid is G G 0 1 d OL tan k 19
20 The increase in the heeling moment due to the movement of C.G. of liquid M G G d heeling F tan k 0 1 F OL f there is no influence of free-surface liquids, the righting moment of the ship at a small angle dφ is: ox M GM w d ZB Z g w d n the presence of a free-surface liquid, the righting moment is decreased due to a heeling moment of free-surface liquid. The reduced righting moment M is ox M M M heeling w d Z B Z g F w ol The reduced metacentric height GM : GM Z Z O X F O L B g w Comparing with the original GM, it is decreased by an amount, F OL. w The decrease can also be viewed as an increase in height of C.G. w.r.t. the baseline. F OL Z g Z g w How to decrease OL : Longitudinal subdivision: reduce the width b, and thus reduces Anti rolling tank O L 3 b l 0
21 4.5 Effects of a suspended weight on the righting arm When a ship inclines at a small angle dφ, the suspended object moves transversely Transverse movement of the weight = h dφ, where h is the distance between the suspended weight and the hanging point The increase in the heeling moment due to the transverse movement M heeling w h d n the presence of a suspended object, the righting moment & righting arm are decreased due to a heeling moment of the suspended object. The reduced righting moment M & metacentric height GM are: ox w M M M heeling w d Z B Z g h w w w ox GM GM h ZB Z g h w w n other words, the C.G of a suspended object is actually at its suspended point 1
22 Because the suspension weights & liquid with free surface tend to decrease the righting arm, or decrease the initial stability, we should avoid them. 1. Filling the liquid tank (in full) to get rid of the free surface. (creating a expandable volume). Make the inertial moment of the free surface as small as possible by adding the separation longitudinal plates (bulkhead). 3. Fasten the weights to prevent them from moving transversely. 4.6 The nclining Experiment (Test) Purpose 1. To obtain the vertical position of C.G (Center of Gravity) of the ship.. t is required by nternational convention on Safety of Life at Sea. (Every passenger or cargo vessel newly built or rebuilt)
23 4.6 The nclining Experiment (Continue) Basic Principle M: Transverse Metacenter (A vertical line through the C.B intersects the original vertical centerline at point, M) Due to the movement of weights, the heeling moment is M heeling wh where w is the total weight of the moving objects and h is the moving distance. 4.6 The nclining Experiment (Continue) The shift of the center of gravity is GG where W is the total weight of the ship. The righting moment = The heeling moment wh GM W tan wh GM GG1 cot( ) W tan( ) 1 wh W 1. w and h are recorded and hence known.. is measured by a pendulum known as stabilograph. 3. The total weight W can be determined given the draft T. (at FP, AP & midship, usually only a very small trim is allowed.) 4. Thus GM can be calculated, 3
24 4.6 The nclining Experiment (Continue) GM H Z H Z x M g, M B The metacenter height and vertical coordinate of C.B have been calculated. Thus, C.G. can be obtained. Z H GM g M Obtaining the longitudinal position of the gravity center of a ship will be explained in section The nclining Experiment (Continue) 1. The experiment should be carried out in calm water & nice weather. No wind, no heavy rain, no tides.. t is essential that the ship be free to incline (mooring ropes should be as slack as possible, but be careful.). 3. All weights capable of moving transversely should be locked in position and there should be no loose fluids in tanks. 4. The ship in inclining test should be as near completion as possible. 5. Keep as few people on board as possible. 6. The angle of inclination should be small enough with the range of validity of the theory. 7. The ship in experiment should not have a large trim. 4
25 4.7 Effect of Ship s Geometry on Stability Transverse metacenter height GM = BM (Z G Z B ) x GM ( Zg ZB ) x C LB C B B C C LBT C T T B B where C 1 dpends on waterplane. x d db dt x B T 4.7 (Continue) x d db a) ncrease B only: ( CBLBT increases) x B x d dt b) Decrease T only: ( decreases) x T db dt c) Change B & T but keep fixed: B T x d db 3 x B 5
26 Conclusion: to increase GM ( Transverse metacenter height) 1. increasing the beam, B. decreasing the draft, T 3. lowering C.G (Z G ) 4. increasing the freeboard will increase the Z G, but will improve the stability at large inclination angle. 5. Tumble home or flare will have effects on the stability at large inclination angle. 6. Bilge keels, fin stabilizers, gyroscopic stabilizers, antirolling tank also improve the stability (at pp48-5). 4.7 (Continue) Suitable metacenter height t should be large enough to satisfy the requirement of rules. Usually under full load condition, GM~0.04B. However, too large GM will result in a very small rolling period. Higher rolling frequency will cause the crew or passenger uncomfortable. This also should be avoided. (see page 37 of this notes) 6
27 4.8 Longitudinal nclination Longitudinal Metacenter: Similar to the definition of the transverse meta center, when a ship is inclined longitudinally at a small angle, A vertical line through the center of B 1 buoyancy intersects the vertical line through B 0 (before the ship is inclined) at. M L The Location of the Longitudinal Metacenter For a small angle inclination, volumes of forward wedge immersed in water and backward wedge emerged out of water are: v ( y) ( xtan ) dx where y is the half breadth. 1 l 0 Ll v ( y) ( x tan ) dx, v v v. 1 0 l Thus, yxdx yxdx, which indicates: 0 0 Ll moment of area forward of F = moment of area after F. F is the center of (mass) gravity of waterline W L, & is called center of flotation of W L. Therefore, for equal volume longitudinal inclination the new waterline always passes through the center of flotation (C.F). 7
28 Location of the Longitudinal Metacenter Using the same argument used in obtaining transverse metacenter. B B l 0 /, vg g ( y) ( xtan ) xdx yx tan xdx l 0 tan yx dx yx dx tan 0 L l FC is the moment of inertia with respect to the FC vg g transverse axis passing the center of flotation. 0 Ll FC B0 B1 B0M tan, B0M. H B M Z Z. GM Z Z FC FC ML 0 B B L B g Location of the Longitudinal Metacenter Usually Floatation Center (C.F) of a waterplane is not at the midship, Ax FC 0, T where 0, T, is the moment of inertia w.r.t. the transverse axis at midship (or station 5) and x is the distance from F.C. to the midship. 8
29 Moment to Alter Trim One nch (MT) MT: (moment to alter (change) the ship s trim per inch) at each waterline (or draft) is an important quantity. We may use the longitudinal metacenter to predict MT MT ( a function of draft) Due to the movement of a weight, assume that the ship as 1 trim, and floats at waterline W.L., 1" 1 tan, where L is in feet. L 1 L Due to the movement of the weight, G moves to G, M wh G G, G G G M tan HM Z w L L G tan 0 1 FC M whm L ZG tan w ZB ZG tan FC 1 w ZB ZG 1 L 9
30 MT ( a function of draft) FC FC 1 wfc ZG ZB, M w 1 L 1 L w 40L 3 FC 64 lb/ft, Long Ton = 40 lb, MT (ton-ft) f the longitudinal inclination is small, MT can be used to find out the longitudinal position of gravity center ( ). X G1 Trim TF TA T tan L L L FC FC T FC G0G1 Z Z tan, L Z Z Since G is in the same vertical line as C. B under W L, B G G B FC X G1 X B G0G1 X B T L 30
SHIP BUOYANCY AND STABILITY. Lecture 03 Ship initial stability
SHIP BUOYANCY AND STABILITY Lecture 3 Ship initial stability 1 Literature J. Matusiak: Laivan kelluvuus ja vakavuus Biran A. B., Ship Hydrostatics and Stability, 23 J. Matusiak: Short Introduction to Ship
More informationHydrostatics and Stability Dr. Hari V Warrior Department of Ocean Engineering and Naval Architecture Indian Institute of Technology, Kharagpur
Hydrostatics and Stability Dr. Hari V Warrior Department of Ocean Engineering and Naval Architecture Indian Institute of Technology, Kharagpur Module No. # 01 Lecture No. # 09 Free Surface Effect In the
More informationSTABILITY AND TRIM OF MARINE VESSELS. Massachusetts Institute of Technology, Subject 2.017
STABILITY AND TRIM OF MARINE VESSELS Concept of Mass Center for a Rigid Body Centroid the point about which moments due to gravity are zero: 6 g m i (x g x i )= 0 Æ x = 6m i x i / 6m i = 6m i x i / M g
More informationSHIP BUOYANCY AND STABILITY. Lecture 02 Ship equilibrium and introduction to ship hydrostatics
SHIP BUOYANCY AND STABILITY Lecture 02 Ship equilibrium and introduction to ship hydrostatics 1 Literature J. Matusiak: Laivan kelluvuus ja vakavuus Biran A. B., Ship Hydrostatics and Stability, 2003 J.
More informationOffshore Hydromechanics Module 1
Offshore Hydromechanics Module 1 Dr. ir. Pepijn de Jong 1. Intro, Hydrostatics and Stability Introduction OE4630d1 Offshore Hydromechanics Module 1 dr.ir. Pepijn de Jong Assistant Prof. at Ship Hydromechanics
More informationHydrostatic and Stability IN A NUTSHELL. of Floating Structures. Compendium. Relevant to Questions in Exam. Robert Bronsart
Hydrostatic and Stability of Floating Structures IN A NUTSHELL Compendium Relevant to Questions in Exam Robert Bronsart Version Date Comment 2.21 September 2015 minor corrections Author: Robert Bronsart
More informationSHIP BUOYANCY AND STABILITY
SHIP BUOYANCY AND STABILITY Lecture 04 Ship stability-z curve 09/11/2017 Ship Buoyancy and Stability 1 Literature J. Matusiak: Laivan kelluvuus ja vakavuus Biran A. B., Ship Hydrostatics and Stability,
More informationBuoyancy and Stability of Immersed and Floating Bodies
Buoyancy and Stability of Immersed and Floating Bodies 9. 12. 2016 Hyunse Yoon, Ph.D. Associate Research Scientist IIHR-Hydroscience & Engineering Review: Pressure Force on a Plane Surface The resultant
More informationStatic Forces on Surfaces-Buoyancy. Fluid Mechanics. The equilibrium of a body may be: Stable. Unstable. Neutral (could be considered stable)
Equilibrium of Floating Bodies: To be the floating body in equilibrium, two conditions must be satisfied: The buoyant Force (F b ) must equal the weight of the floating body (W). F b and W must act in
More informationSEAKEEPING AND MANEUVERING Prof. Dr. S. Beji 2
SEAKEEPING AND MANEUVERING Prof. Dr. S. Beji 2 Ship Motions Ship motions in a seaway are very complicated but can be broken down into 6-degrees of freedom motions relative to 3 mutually perpendicular axes
More informationFluid Mechanics Prof. S. K. Som Department of Mechanical Engineering Indian Institute of Technology, Kharagpur. Lecture - 8 Fluid Statics Part V
Fluid Mechanics Prof. S. K. Som Department of Mechanical Engineering Indian Institute of Technology, Kharagpur Lecture - 8 Fluid Statics Part V Good morning, I welcome you all to the session of fluid mechanics.
More informationTransport Analysis Report Full Stability Analysis. Project EXAMPLE PROJECT DEMO RUN FOR REVIEW. Client ORCA OFFSHORE
ONLINE MARINE ENGINEERING Transport Analysis Report Full Stability Analysis Project EXAMPLE PROJECT DEMO RUN FOR REVIEW Client ORCA OFFSHORE Issue Date 18/11/2010 Report reference number: Herm-18-Nov-10-47718
More informationWuchang Shipbuilding Industry Co., Ltd. China Shipbuilding Industry Corporation
Safety Assessments for Anchor Handling Conditions of Multi-purpose Platform Work Vessels Reporter:Yu Wang Wuchang Shipbuilding Industry Co., Ltd. China Shipbuilding Industry Corporation 2009.12.04 0 Outline
More informationChapter 2 Hydrostatics Buoyancy, Floatation and Stability
Chapter 2 Hydrostatics uoyancy, Floatation and Stability Zerihun Alemayehu Rm. E119 AAiT Force of buoyancy an upward force exerted by a fluid pressure on fully or partially floating body Gravity Archimedes
More informationWelcome to the Ship Resistance Predictor! The total calm water resistance is given by:
Welcome to the Ship Resistance Predictor! What does this Excel Sheet do? This Excel sheet helps you calculate the Total Calm Water Resistance for a Ship at a given forward speed It also calculates from
More informationChapter 1 INTRODUCTION
Chapter 1 INTRODUCTION 1-1 The Fluid. 1-2 Dimensions. 1-3 Units. 1-4 Fluid Properties. 1 1-1 The Fluid: It is the substance that deforms continuously when subjected to a shear stress. Matter Solid Fluid
More informationRULES FOR CLASSIFICATION Inland navigation vessels. Part 3 Structures, equipment Chapter 2 Design load principles. Edition December 2015 DNV GL AS
RULES FOR CLASSIFICATION Inland navigation vessels Edition December 2015 Part 3 Structures, equipment Chapter 2 s The content of this service document is the subject of intellectual property rights reserved
More informationSeakeeping characteristics of intact and damaged ship in the Adriatic Sea
Towards Green Marine Technology and Transport Guedes Soares, Dejhalla & Pavleti (Eds) 2015 Taylor & Francis Group, London, ISBN 978-1-138-02887-6 Seakeeping characteristics of intact and damaged ship in
More informationRULES FOR CLASSIFICATION. Ships. Part 3 Hull Chapter 4 Loads. Edition January 2017 DNV GL AS
RULES FOR CLASSIFICATION Ships Edition January 2017 Part 3 Hull Chapter 4 The content of this service document is the subject of intellectual property rights reserved by ("DNV GL"). The user accepts that
More informationH2 Stability of a Floating Body
H2 Stability of a Floating Body TecQuipment Ltd 2015 Do not reproduce or transmit this document in any form or by any means, electronic or mechanical, including photocopy, recording or any information
More informationDepartment of Aerospace and Ocean Engineering Graduate Study Specialization in Ocean Engineering. Written Preliminary Examination Information
Department of Aerospace and Ocean Engineering Graduate Study Specialization in Ocean Engineering Written Preliminary Examination Information Faculty: Professors W. Neu, O. Hughes, A. Brown, M. Allen Test
More informationFinal Exam TTK4190 Guidance and Control
Trondheim Department of engineering Cybernetics Contact person: Professor Thor I. Fossen Phone: 73 59 43 61 Cell: 91 89 73 61 Email: tif@itk.ntnu.no Final Exam TTK4190 Guidance and Control Friday May 15,
More informationSection 3.1. Archimedes Principle: Forces on a body in water
Section 3.1 Archimedes Principle: The Buoyant Force on an object is equal to the weight of the volume of the water displaced by the object F B =rgv Forces on a body in water Distributed forces: Gravity:
More informationRISK EVALUATION IN FLOATING OFFSHORE STRUCTURES. José M. Vasconcellos, COPPE/UFRJ, Nara Guimarães, COPPE/UFRJ,
10 th International Conference 53 RISK EVALUATION IN FLOATING OFFSHORE STRUCTURES José M. Vasconcellos, COPPE/UFRJ, jmarcio@ufrj.br Nara Guimarães, COPPE/UFRJ, nara@peno.coppe.ufrj.br ABSTRACT During a
More informationSCALE MODEL TESTS OF A FISHING VESSEL IN ROLL MOTION PARAMETRIC RESONANCE
N. Perez Síntesis Tecnológica. V.3 Nº 1 (26) 33-37 SCALE MODEL TESTS OF A FISHING VESSEL IN ROLL MOTION PARAMETRIC RESONANCE NELSON A. PEREZ M. Instituto de Ciencias Navales y Marítimas, M.Sc, nperez@uach.cl,
More informationStability of free-floating ship
Stability of free-floating ship Part II Maciej Paw³owski Gdañsk University of Technology ABSTRACT This is the second part of the paper published in Polish Maritime Research no. 2/2005, dealing with the
More informationCAPACITY ESTIMATES AND GENERAL ARRANGEMENT
CAPACITY ESTIMATES AND GENERAL ARRANGEMENT This will verify that sufficient space is available for the amount of cargo to be carried. For capacity ships, it is a primary factor and may be a starting point
More informationNumerical Study of the Roll Decay of Intact and Damaged Ships by Q. Gao and D. Vassalos
Session 7 Stability of Damaged Ships Numerical Simulation of Progressive Flooding and Capsize Numerical Study of the Roll Decay of Intact and Damaged Ships by Q. Gao and D. Vassalos Qiuxin Gao and Dracos
More informationMEMBRANE TANK LNG VESSELS
Guide for Building and Classing Membrane Tank LNG Vessels GUIDE FOR BUILDING AND CLASSING MEMBRANE TANK LNG VESSELS (HULL STRUCTURAL DESIGN AND ANALYSIS BASED ON THE ABS SAFEHULL APPROACH) OCTOBER 2002
More informationDynamics of Machinery
Dynamics of Machinery Two Mark Questions & Answers Varun B Page 1 Force Analysis 1. Define inertia force. Inertia force is an imaginary force, which when acts upon a rigid body, brings it to an equilibrium
More informationFluid Mechanics. Forces on Fluid Elements. Fluid Elements - Definition:
Fluid Mechanics Chapter 2: Fluid Statics Lecture 3 Forces on Fluid Elements Fluid Elements - Definition: Fluid element can be defined as an infinitesimal region of the fluid continuum in isolation from
More informationROLL MOTION OF A RORO-SHIP IN IRREGULAR FOLLOWING WAVES
38 Journal of Marine Science and Technology, Vol. 9, o. 1, pp. 38-44 (2001) ROLL MOTIO OF A RORO-SHIP I IRREGULAR FOLLOWIG WAVES Jianbo Hua* and Wei-Hui Wang** Keywords: roll motion, parametric excitation,
More informationFluid Mechanics-61341
An-Najah National University College of Engineering Fluid Mechanics-61341 Chapter [2] Fluid Statics 1 Fluid Mechanics-2nd Semester 2010- [2] Fluid Statics Fluid Statics Problems Fluid statics refers to
More informationAalto University School of Engineering
Aalto University School of Engineering Kul-24.4120 Ship Structural Design (P) Lecture 8 - Local and Global Vibratory Response Kul-24.4120 Ship Structures Response Lecture 5: Tertiary Response: Bending
More informationMotions and Resistance of a Ship in Regular Following Waves
Reprinted: 01-11-2000 Revised: 03-10-2007 Website: www.shipmotions.nl Report 440, September 1976, Delft University of Technology, Ship Hydromechanics Laboratory, Mekelweg 2, 2628 CD Delft, The Netherlands.
More informationRequirements for Computational Methods to be sed for the IMO Second Generation Intact Stability Criteria
Proceedings of the 1 th International Conference on the Stability of Ships and Ocean Vehicles, 14-19 June 15, Glasgow, UK Requirements for Computational Methods to be sed for the IMO Second Generation
More informationEric G. Paterson. Spring 2005
Eric G. Paterson Department of Mechanical and Nuclear Engineering Pennsylvania State University Spring 2005 Reading and Homework Read Chapter 3. Homework Set #2 has been posted. Due date: Friday 21 January.
More informationDESIGN OPTIMIZATION STUDY ON A CONTAINERSHIP PROPULSION SYSTEM
DESIGN OPTIMIZATION STUDY ON A CONTAINERSHIP PROPULSION SYSTEM Brian Cuneo Thomas McKenney Morgan Parker ME 555 Final Report April 19, 2010 ABSTRACT This study develops an optimization algorithm to explore
More informationSailing Performance and Maneuverability of a Traditional Ryukyuan Tribute Ship
sia Navigation Conference 009 ailing Performance and Maneuverability of a Traditional Ryukyuan Tribute hip by Yutaka MUYM (Kanazawa Institute of Technology) Hikaru YGI (Tokai University ) Yutaka TERO (Tokai
More informationRULES FOR THE CONSTRUCTION AND CLASSIFICATION OF SHIPS IDENTIFIED BY THEIR MISSIONS DREDGERS AND MUD BARGES CHAPTERS CHAPTERS SCOPE
PARTE II RULES FOR THE CONSTRUCTION AND CLASSIFICATION OF SHIPS IDENTIFIED BY THEIR MISSIONS TÍTULO 43 DREDGERS AND MUD BARGES SECTION 2 STRUCTURE CHAPTERS SECTION 2 STRUCTURE CHAPTERS A B C SCOPE DOCUMENTS,
More informationFluid Engineering Mechanics
Fluid Engineering Mechanics Chapter 3 Fluid Statics: ressure intensity and pressure head: pressure and specific weight relationship, absolute and gauge pressure, Forces on submerged planes & curved surfaces
More informationRULES PUBLICATION NO. 17/P ZONE STRENGTH ANALYSIS OF HULL STRUCTURE OF ROLL ON/ROLL OFF SHIP
RULES PUBLICATION NO. 17/P ZONE STRENGTH ANALYSIS OF HULL STRUCTURE OF ROLL ON/ROLL OFF SHIP 1995 Publications P (Additional Rule Requirements), issued by Polski Rejestr Statków, complete or extend the
More informationPAGE Ⅰ. INTENT 3 Ⅱ. PRINCIPAL PARTICULARS 4 Ⅳ. HOLD & TANK CAPACITY TABLE 6 Ⅴ. CURVES OF HEELING MOMENT, VOLUME AND KG 12
1 GRAIN LOADING INDEX PAGE Ⅰ. INTENT 3 Ⅱ. PRINCIPAL PARTICULARS 4 Ⅲ. SYMBOLS 5 Ⅳ. HOLD & TANK CAPACITY TABLE 6 Ⅴ. CURVES OF HEELING MOMENT, VOLUME AND KG 12 Ⅵ. ALLOWABLE HEELING MOMENT EXPLANATION OF ALLOWABLE
More informationDevelopment of formulas allowing to predict hydrodynamic responses of inland vessels operated within the range of navigation 0.6 Hs 2.
Gian Carlo Matheus Torres 6 th EMship cycle: October 2015 February 2017 Master Thesis Development of formulas allowing to predict hydrodynamic responses of inland vessels operated within the range of navigation
More informationSimulation of floating bodies with lattice Boltzmann
Simulation of floating bodies with lattice Boltzmann by Simon Bogner, 17.11.2011, Lehrstuhl für Systemsimulation, Friedrich-Alexander Universität Erlangen 1 Simulation of floating bodies with lattice Boltzmann
More informationChapter 3 Fluid Statics
Chapter 3 Fluid Statics 3.1 Pressure Pressure : The ratio of normal force to area at a point. Pressure often varies from point to point. Pressure is a scalar quantity; it has magnitude only It produces
More informationSLAMMING LOADS AND STRENGTH ASSESSMENT FOR VESSELS
Guide for Slamming Loads and Strength Assessment for Vessels GUIDE FOR SLAMMING LOADS AND STRENGTH ASSESSMENT FOR VESSELS MARCH 2011 (Updated February 2016 see next page) American Bureau of Shipping Incorporated
More informationShip Nonlinear Rolling and Roll Angle Reconstruction Based on FIR
Open Access Library Journal Ship Nonlinear Rolling and Roll Angle Reconstruction Based on FIR Jianhui Lu 1,2*, Chunlei Zhang 2, Shaonan Chen 2, Yunxia Wu 2 1 Shandong Province Key Laboratory of Ocean Engineering,
More informationFinal Exam Ship Structures Page 1 MEMORIAL UNIVERSITY OF NEWFOUNDLAND. Engineering Ship Structures
Final Exam - 53 - Ship Structures - 16 Page 1 MEMORIA UNIVERSITY OF NEWFOUNDAND Faculty of Engineering and Applied Science Engineering 53 - Ship Structures FINA EXAMINATION SONS Date: Wednesday April 13,
More informationHydrostatics. ENGR 5961 Fluid Mechanics I: Dr. Y.S. Muzychka
1 Hydrostatics 2 Introduction In Fluid Mechanics hydrostatics considers fluids at rest: typically fluid pressure on stationary bodies and surfaces, pressure measurements, buoyancy and flotation, and fluid
More informationSPECIAL CONDITION. Water Load Conditions. SPECIAL CONDITION Water Load Conditions
Doc. No. : SC-CVLA.051-01 Issue : 1d Date : 04-Aug-009 Page : 1 of 13 SUBJECT : CERTIFICATION SPECIFICATION : VLA.51 PRIMARY GROUP / PANEL : 03 (Structure) SECONDARY GROUPE / PANEL : -- NATURE : SCN VLA.51
More informationstorage tank, or the hull of a ship at rest, is subjected to fluid pressure distributed over its surface.
Hydrostatic Forces on Submerged Plane Surfaces Hydrostatic forces mean forces exerted by fluid at rest. - A plate exposed to a liquid, such as a gate valve in a dam, the wall of a liquid storage tank,
More informationSAFEHULL-DYNAMIC LOADING APPROACH FOR VESSELS
Guide for SafeHull- Dynamic Loading Approach for Vessels GUIDE FOR SAFEHULL-DYNAMIC LOADING APPROACH FOR VESSELS DECEMBER 2006 (Updated February 2014 see next page) American Bureau of Shipping Incorporated
More informationFluid Mechanics Prof. S. K. Som Department of Mechanical Engineering Indian Institute of Technology, Kharagpur. Lecture - 9 Fluid Statics Part VI
Fluid Mechanics Prof. S. K. Som Department of Mechanical Engineering Indian Institute of Technology, Kharagpur Lecture - 9 Fluid Statics Part VI Good morning, I welcome you all to this session of Fluid
More informationAl-Saudia Virtual Academy Pakistan Online Tuition Online Tutor Pakistan
Al-Saudia Virtual Academy Pakistan Online Tuition Online Tutor Pakistan Statics What do you mean by Resultant Force? Ans: Resultant Force: The sum of all forces acting upon a body is called Resultant Force.
More informationVessel Name: MC(less than 24m)
Freeboard Calculation Report Vessel Name: MC(less than 24m) SECTION A: RESULTS SUMMARY Summer Freeboard = 567.41 mm Max. Summer Draft as per freeboard requirements = 941 mm Minimum Bow Height Required
More informationDesign, Construction & Operation of LNG/LPG Ships, November, Glasgow, UK
Design, Construction & Operation of LNG/LPG Ships, 29-3 November, Glasgow, UK SLOSHING AND SWIRLING IN MEMBRANE LNG TANKS AND THEIR COUPLING EFFECTS WITH SHIP MOTION M Arai and G M Karuka, Yokohama National
More informationStability and Control
Stability and Control Introduction An important concept that must be considered when designing an aircraft, missile, or other type of vehicle, is that of stability and control. The study of stability is
More informationOn an Advanced Shipboard Information and Decision-making System for Safe and Efficient Passage Planning
International Journal on Marine Navigation and Safety of Sea Transportation Volume 2 Number 1 March 28 On an Advanced Shipboard Information and Decision-making System for Safe and Efficient Passage Planning
More informationLongitudinal strength standard
(1989) (Rev. 1 199) (Rev. Nov. 001) Longitudinal strength standard.1 Application This requirement applies only to steel ships of length 90 m and greater in unrestricted service. For ships having one or
More informationAalto University School of Engineering
Aalto University School of Engineering Kul-24.4140 Ship Dynamics (P) Lecture 9 Loads Where is this lecture on the course? Design Framework Lecture 5: Equations of Motion Environment Lecture 6: Strip Theory
More informationParallel Forces. Forces acting in the same or in opposite directions at different points on an object.
Parallel Forces Forces acting in the same or in opposite directions at different points on an object. Statics refers to the bodies in equilibrium. Equilibrium deals with the absence of a net force. When
More informationThe use of a floating quay for container terminals. 1. Introduction
The use of a floating quay for container terminals. M. van der Wel M.vanderWel@student.tudelft.nl Ir. J.G. de Gijt J.G.deGijt@tudelft.nl Public Works Rotterdam/TU Delft Ir. D. Dudok van Heel D.DudokvanHeel@gw.rotterdam.nl
More informationTrajectory Tracking of a Near-Surface Torpedo using Numerical Methods
ISSN (Print) : 2347-671 An ISO 3297: 27 Certified Organization Vol.4, Special Issue 12, September 215 Trajectory Tracking of a Near-Surface Torpedo using Numerical Methods Anties K. Martin, Anubhav C.A.,
More informationIACS Unified Requirements for Polar Ships
DRAFT - ISSUED FOR DISCUSSION PURPOSES ONLY IACS Unified Requirements for Polar Ships Background Notes to Longitudinal Strength Prepared for: IACS Ad-hoc Group on Polar Class Ships Transport Canada Prepared
More information00_006_7 FHR reports. Ship model calibration. Determination of a Ship Model s Moment of Inertia.
00_006_7 FHR reports Ship model calibration Determination of a Ship Model s Moment of Inertia www.flandershydraulicsresearch.be Ship model calibration Determination of a Ship Model s Moment of Inertia
More information2. a) Explain the equilibrium of i) Concurrent force system, and ii) General force system.
Code No: R21031 R10 SET - 1 II B. Tech I Semester Supplementary Examinations Dec 2013 ENGINEERING MECHANICS (Com to ME, AE, AME, MM) Time: 3 hours Max. Marks: 75 Answer any FIVE Questions All Questions
More informationSIMPLIFICATION BY MATHEMATIC MODEL TO SOLVE THE EXPERIMENTAL OF SLOSHING EFFECT ON THE FPSO VESSEL
European International Journal of Science and Technology Vol. 3 No. 5 June, 2014 SIMPLIFICATION BY MATHEMATIC MODEL TO SOLVE THE EXPERIMENTAL OF SLOSHING EFFECT ON THE FPSO VESSEL LuhutTumpalParulianSinaga
More informationChapter 9 TORQUE & Rotational Kinematics
Chapter 9 TORQUE & Rotational Kinematics This motionless person is in static equilibrium. The forces acting on him add up to zero. Both forces are vertical in this case. This car is in dynamic equilibrium
More informationSeakeeping Models in the Frequency Domain
Seakeeping Models in the Frequency Domain (Module 6) Dr Tristan Perez Centre for Complex Dynamic Systems and Control (CDSC) Prof. Thor I Fossen Department of Engineering Cybernetics 18/09/2007 One-day
More informationPhysics 8 Wednesday, October 28, 2015
Physics 8 Wednesday, October 8, 015 HW7 (due this Friday will be quite easy in comparison with HW6, to make up for your having a lot to read this week. For today, you read Chapter 3 (analyzes cables, trusses,
More informationRULES FOR CLASSIFICATION. Ships. Part 3 Hull Chapter 6 Hull local scantling. Edition January 2017 DNV GL AS
RULES FOR CLASSIFICATION Ships Edition January 2017 Part 3 Hull Chapter 6 The content of this service document is the subject of intellectual property rights reserved by ("DNV GL"). The user accepts that
More informationSPRINGING ASSESSMENT FOR CONTAINER CARRIERS
Guidance Notes on Springing Assessment for Container Carriers GUIDANCE NOTES ON SPRINGING ASSESSMENT FOR CONTAINER CARRIERS FEBRUARY 2014 American Bureau of Shipping Incorporated by Act of Legislature
More informationEQUILIBRIUM OBJECTIVES PRE-LECTURE
27 FE3 EQUILIBRIUM Aims OBJECTIVES In this chapter you will learn the concepts and principles needed to understand mechanical equilibrium. You should be able to demonstrate your understanding by analysing
More informationITTC Recommended Procedures Testing and Extrapolation Methods Resistance Resistance Test
-0- Page 1 of 11 CONTENTS 1. PURPOSE OF PROCEDURE. PARAMETERS.1 Data Reduction Equations. Definition of ariables 3. DESCRIPTION OF PROCEDURE 3.1 Model and Installation 3.1.1 Model 3.1. Test condition 3.1.3
More informationReport of the Committee on Stability in Waves
Report of the Committee on Stability in Waves Committee on Stability in Waves Membership: A M Reed (Chairman), David Taylor Model Basin, USA A Peters (Secretary), QinetiQ, UK W Y Duan, Harbin Engineering
More informationProceedings of the ASME th International Conference on Ocean, Offshore and Arctic Engineering OMAE2013 June 9-14, 2013, Nantes, France
Proceedings of the ASME 2011 32th International Conference on Ocean, Offshore and Arctic Engineering OMAE2013 June 9-14, 2013, Nantes, France OMAE2013-10124 APPLYING STRIP THEORY BASED LINEAR SEAKEEPING
More informationRULES PUBLICATION NO. 18/P ZONE STRENGTH ANALYSIS OF BULK CARRIER HULL STRUCTURE
RULES PUBLICATION NO. 18/P ZONE STRENGTH ANALYSIS OF BULK CARRIER HULL STRUCTURE 1995 Publications P (Additional Rule Requirements), issued by Polski Rejestr Statków, complete or extend the Rules and are
More informationRULES FOR CLASSIFICATION Ships. Part 3 Hull Chapter 6 Hull local scantling. Edition October 2015 DNV GL AS
RULES FOR CLASSIFICATION Ships Edition October 2015 Part 3 Hull Chapter 6 The content of this service document is the subject of intellectual property rights reserved by ("DNV GL"). The user accepts that
More informationPREDICTION OF THE NATURAL FREQUENCY OF SHIP S ROLL WITH REGARD TO VARIOUS MODELS OF ROLL DAMPING
Journal of KONES Powertrain and Transport, Vol. 23, No. 3 2016 PREDICTION OF THE NATURAL FREQUENCY OF SHIP S ROLL WITH REGARD TO VARIOUS MODELS OF ROLL DAMPING Przemysław Krata, Wojciech Wawrzyński Gdynia
More information2.6 Force reacts with planar object in fluid
2.6 Force reacts with planar object in fluid Fluid surface Specific weight (γ) => Object sinks in fluid => C is center of gravity or Centroid => P is center of pressure (always under C) => x axis is cross
More informationHull loads and response, hydroelasticity
Transactions on the Built Environment vol 1, 1993 WIT Press, www.witpress.com, ISSN 1743-3509 Hull loads and response, hydroelasticity effects on fast monohulls E. Jullumstr0 & J.V. Aarsnes Division of
More informationJUSTIFYING THE STABILIZATION OF A MARGINALLY STABLE SHIP
Proceedings of ASME 017 Dynamic Systems and Control Conference DSCC017 October 11-13, 017, Tysons, VA, USA DSCC017-5116 JUSTIFYING THE STABILIZATION OF A MARGINALLY STABLE SHIP David Shekhtman Department
More informationSimple Estimation of Wave Added Resistance from Experiments in Transient and Irregular Water Waves
Simple Estimation of Wave Added Resistance from Experiments in Transient and Irregular Water Waves by Tsugukiyo Hirayama*, Member Xuefeng Wang*, Member Summary Experiments in transient water waves are
More informationADDED RESISTANCE IN WAVES OF INTACT AND DAMAGED SHIP IN THE ADRIATIC SEA
Brodogradnja/Shipbilding Volume 66 Number, 15 Ivana Martić Nastia Degiuli ISSN 7-15X eissn 1845-5859 ADDED RESISTANCE IN WAVES OF INTACT AND DAMAGED SHIP IN THE ADRIATIC SEA Summary UDC 69.5.15.4(6.3)
More informationl Every object in a state of uniform motion tends to remain in that state of motion unless an
Motion and Machine Unit Notes DO NOT LOSE! Name: Energy Ability to do work To cause something to change move or directions Energy cannot be created or destroyed, but transferred from one form to another.
More informationResearch and application of 2-D water entry simulation (constant velocity)
Research and application of 2-D water entry simulation (constant velocity) College of Shipbuilding and Engineering Harbin Engineering University ------------- Zhu Xin Supervisor: Prof. Duan Wen-yang 1
More informationCompute the lateral force per linear foot with sloping backfill and inclined wall. Use Equation No. 51, page 93. Press ENTER.
Sample Problems Problem 5.1 A gravity retaining wall is supporting a cohesionless soil. The active lateral force per linear foot of the retaining wall is most nearly (A) 5,000 lb/ft (B) 6,000 lb/ft (C)
More informationPREDICTION OF PARAMETRIC ROLL OF SHIPS IN REGULAR AND IRREGULAR SEA. A Thesis HISHAM MOIDEEN
PREDICTION OF PARAMETRIC ROLL OF SHIPS IN REGULAR AND IRREGULAR SEA A Thesis by HISHAM MOIDEEN Submitted to the Office of Graduate Studies of Texas A&M University in partial fulfillment of the requirements
More informationUnit 21 Couples and Resultants with Couples
Unit 21 Couples and Resultants with Couples Page 21-1 Couples A couple is defined as (21-5) Moment of Couple The coplanar forces F 1 and F 2 make up a couple and the coordinate axes are chosen so that
More informationINFLUENCE OF DECK PLATING STRENGTH ON SHIP HULL ULTIMATE BENDING MOMENT
TECHNICAL REPORT NO. 73 INFLUENCE OF DECK PLATING STRENGTH ON SHIP HULL ULTIMATE BENDING MOMENT Authors: Dr Marian Bogdaniuk Dr Monika Warmowska Gdańsk, 2016 Technical Report No. 73 3 CONTENTS PURPOSE
More informationAn accurate model for seaworthy container vessel stowage planning with ballast tanks
Downloaded from orbit.dtu.dk on: Jul 23, 28 An accurate model for seaworthy container vessel stowage planning with ballast tanks Pacino, Dario; Delgado-Ortegon, Alberto; Jensen, Rune Møller; Bebbington,
More informationS19 S19. (1997) (Rev ) (Rev. 2 Feb. 1998) (Rev.3 Jun. 1998) (Rev.4 Sept. 2000) (Rev.5 July 2004) S Application and definitions
(1997) (Rev. 1 1997) (Rev. Feb. 1998) (Rev.3 Jun. 1998) (Rev.4 Sept. 000) (Rev.5 July 004) Evaluation of Scantlings of the Transverse Watertight Corrugated Bulkhead between Cargo Holds Nos. 1 and, with
More informationCE MECHANICS OF FLUIDS
CE60 - MECHANICS OF FLUIDS (FOR III SEMESTER) UNIT II FLUID STATICS & KINEMATICS PREPARED BY R.SURYA, M.E Assistant Professor DEPARTMENT OF CIVIL ENGINEERING DEPARTMENT OF CIVIL ENGINEERING SRI VIDYA COLLEGE
More informationNonlinear Time Domain Simulation Technology for Seakeeping and Wave-Load Analysis for Modern Ship Design
ABS TECHNICAL PAPERS 23 Nonlinear Time Domain Simulation Technology for Seakeeping and Wave-Load Analysis for Modern Ship Design Y.S. Shin, Associate Member, American Bureau of Shipping, V.L. Belenky,
More information2007 Problem Topic Comment 1 Kinematics Position-time equation Kinematics 7 2 Kinematics Velocity-time graph Dynamics 6 3 Kinematics Average velocity
2007 Problem Topic Comment 1 Kinematics Position-time equation Kinematics 7 2 Kinematics Velocity-time graph Dynamics 6 3 Kinematics Average velocity Energy 7 4 Kinematics Free fall Collisions 3 5 Dynamics
More informationIMO REVISION OF THE INTACT STABILITY CODE. Report of the Working Group on Intact Stability at SLF 48 (part 2)
INTERNATIONAL MARITIME ORGANIZATION E IMO SUB-COMMITTEE ON STABILITY AND LOAD LINES AND ON FISHING VESSELS SAFETY 49th session Agenda item 5 SLF 49/5/1 23 March 26 Original: ENGLISH REVISION OF THE INTACT
More informationSTEEPEST DESCENT METHOD. RESOLVING AN OLD PROBLEM
1 th International Conference 87 STEEPEST DESCENT METHOD. RESOLVING AN OLD PROBLEM J. Andrew Breuer, ABS, ABreuer@eagle.org Karl-Gustav Sjölund, SeaSafe Marine Software AB, mail@seasafe.se ABSTRACT New
More informationESTIMATION OF HULL S RESISTANCE AT PRELIMINARY PHASE OF DESIGNING
Journal of KONES Powertrain and Transport, Vol. 24, No. 1 2017 ESTIMATION OF HULL S RESISTANCE AT PRELIMINARY PHASE OF DESIGNING Adam Charchalis Gdynia Maritime University, Faculty of Marine Engineering
More informationEffects of hull form parameters on seakeeping for YTU gulet series with cruiser stern
csnk, 04 Int. J. Nav. rchit. Ocean Eng. (04) 6:700~74 http://dx.doi.org/0.478/ijnoe-03-006 pissn: 09-678, eissn: 09-6790 Effects of hull form parameters on seakeeping for YTU gulet series with cruiser
More information