# SCALE MODEL TESTS OF A FISHING VESSEL IN ROLL MOTION PARAMETRIC RESONANCE

Save this PDF as:
Size: px
Start display at page:

Download "SCALE MODEL TESTS OF A FISHING VESSEL IN ROLL MOTION PARAMETRIC RESONANCE"

## Transcription

1 N. Perez Síntesis Tecnológica. V.3 Nº 1 (26) SCALE MODEL TESTS OF A FISHING VESSEL IN ROLL MOTION PARAMETRIC RESONANCE NELSON A. PEREZ M. Instituto de Ciencias Navales y Marítimas, M.Sc, Universidad Austral de Chile CARLOS F. O. SANGUINETTI Instituto de Ciencias Navales y Marítimas, M.Sc, Universidad Austral de Chile 33 Abstract This paper presents a description and some experimental results concerning the problem of parametric destabilization and roll motion resonant oscillation of ship moving in longitudinal encountering waves. This induced roll motion of a ship is of interest since it appears when moving in longitudinal waves, despite the fact that there is not any other oblique wave component to directly excite the transverse oscillation and the crew is not waiting anything like that in such a short time. The experiments were carried out on a reduced scale model of a small fishing vessel tested at the Naval Hydrodynamic Laboratory, Austral University of Chile *. The results show how those longitudinal encountering waves can develop big roll motion angles in a short time. * Institute of Naval and Maritime Sciences, Faculty of Engineering Sciences, Austral University of Chile, Valdivia, Chile. Keywords Stability, in wave, off ship, parametric resonance. 1. INTRODUCTION Ships of smaller dimensions in general and small fishing vessels in particular, are crafts greatly exposed to dangerous situations in waves. The excessive motions of ships are a complicated problem and may be produced by many different factors. Predictions are not always a simple problem, in general involve complex non-linear couplings in six degrees of freedom, and some simplifications must be considered in the mathematical models. However, since ship motion is rather complex, it can not be completely treated by analytical means alone, therefore scale model experimentation are frequently carried out in order to predict ship performance. Studies on the dynamic phenomena affecting transversal motion of ships and transversal stability, has been extensively studied over the last decades, but it still remains of high interest due to its complicated, highly non-linear character. Several different dangerous situations for ships in waves have already been identified long time ago, having known mathematical solutions. A few of them have not any mathematical or numerical solution up to now, one of them is the development of the so called parametric transversal resonance or low cycle transversal resonance in longitudinal waves. This parametric roll instability phenomenon is of great interest because it appears as a sudden induced transversal resonant oscillation of a ship in following or in head regular waves, so that there is not any oblique wave component to excite transversal oscillation and the crew is not waiting anything like that in such a short time. The phenomenon is explained through the changes of the underwater volume of the vessel as it moves through the waves, with a subsequently fluctuations in the transversal restoring moments. As it is well known, when the vessel is on the wave crest the restoring moment is generally reduced, whereas on a wave trough the restoring is increased. This kind of instability is a situation in which, linear mathematical equations, do not show eventual transversal destabilization and the not linear one have not know solutions. Experimental results are very important and permit the understanding of the phenomenon and provide insights to the numerical method. 2. EQUATIONS OF ROLL MOTION. Let us say that right handed coordinate system Cxyz is defined as in Fig 1. Surge, Sway and Heave are the translational motions, Roll, Pitch and Yaw are angular motions with respect to axes x, y, z, respectively. A mathematical model to describe, in a simple form, the non linear uncoupled roll motion can be expressed in the form : (I x + A 44 )φ && + D(φ & )+ M r (φ, z,θ,ζ ) = M wo cos(wt γ ) (1) I x = transversal mass moment of inertia A 44 = roll added Inertia D = roll damping moment M r = roll restoring moment M wo = amplitude of wave exciting moment

2 N. Perez Síntesis Tecnológica. V.3 Nº 1 (26) φ, φ &, φ && = angle, angular velocity and angular acceleration of roll motion respectively. z = heave motion θ = pitch angle ξ = wave elevation w= wave encountering frequency γ = phase between excitation and wave Fig. 1: Co-ordinate axis and definition of motions. Damping Moment. Due to the occurrence of strong viscous effects, the roll damping moment can not be satisfactorily computed in a simple linear non viscous way, so that, the total roll damping may be calculated by mean of simplified analytically or numerical method. For instance, in a semi-empirical model of roll damping moment one can assume that the total roll damping may be subdivided into several components, each one being computed separately, let us say: D(φ) & = B & & & 44 φ + [B 44W + B 44 f + B 44E + B 44L + B 44K ]φ φ Where: B 44 φ & is the linear potential non coupled damping and B 44W, B 44f, B 44E, B 44L, B 44K corresponds to wave, friction, eddy, lift and bilge keel damping coefficients, respectively, even non coupled. So, the damping moment of roll motion could be given by D(φ & ) = B 44 φ & + B 444 φ & φ & (2) B 444 may be computed using different numericalempirical methods Restoring Moment. The roll restoring moment M r in waves neither can be satisfactorily computed in just a linear and noncoupled way. In general, and in a simple way it can be assumed to be given by: 3 M r (φ,z,θ,ζ ) = C 44 φ +C 444 φ + C 44z zφ + C 44θ θφ +C 44ζ ζφ (3) C 44 = ΔGM, represents the basic linear non-coupled roll restoring coefficient. C 44z, C 44θ, C 44ξ, represent time dependent variations of hull restoring characteristics due to Heave and Pitch motions and due to the amplitude of wave passage respectively. Analytical, numerical, or numerical-empirical methods are used for the determination or estimation of all linear and non-linear roll restoring moment component. Parametric equation. As the parametric resonance instability is a longitudinal waves phenomenon, then the wave exciting moment M wo = in (1), that is, there is no transversal external excitation moment of roll. Dividing in equation (1) by (I x + A 44 ) the roll motion equation take a form given by : && & & 2 φ + (b 44 + b 444 φ )φ + (c 44 + c 444 φ + e o cos( wt + τ ))φ = (4) e o representing the parametric excitation contains contributions from heave and pitch motions and the wave passage effects. Equation (4) can not be solved analytically but, in order to investigate stability of the ship response one can get the Equivalent Damped Mathieu Equation : d 2 φ/dt (γ) dφ/dt + [ ω o + α cos (2πft) ] φ = Even though the Mathieu Equation is a linear differential equation, it can not be solved analytically in terms of standard functions. The reason is that one of the coefficients isn't constant but time-dependent. But it can be calculated numerically the areas of instability for a certain value of the constant damping, (Fig 2). In the undamped case the areas of stability are in dashed lines. According to this, an infinitesimal driving amplitude α destabilizes the oscillation if the parametric resonance condition is ω o /2πf = n/2; n = 1, 2, 3, So, the phenomenon of ship roll parametric resonance can easily start when the ship and the waves coincide in encountering frequencies ωe determined by. ω e = n ω 4 n = 1, 2, 3... (6) ω e = encounter frequency of exciting waves ω 4 = natural frequency of roll motion of ship

3 N. Perez Síntesis Tecnológica. V.3 Nº 1 (26) It can be noted how the transversal oscillation angle can vary from 3º or 4º initial to 15º or 2º in about 4s or 6s time. Table 1 Total length of ship m. Length of water line 22.9 m. Beam 6.86 m. Depth 2.48 m Displacement weight 17.3 ton Transversal radius of gyration 2.6 m. Longitudinal radius of gyration 5.5 m Scale model 3 Fig 2 Stable unstable zones in a Mathieu Equation These frequency relations denotes areas of transversal instability generated when the ship faces with that combination of encounter frequency the passing of successive crests at middle ship and thus with a diminished restoring capacity; this enables that any transversal oscillation of small magnitude can reach successively higher roll angle with each successive oscillation, originating the so-called: roll parametric resonance phenomenon. It has been demonstrated that the most dangerous situation occurs when ω e = 2 ω 4 and this will be the interest tuning to test. Experimental Aspects. Although considerable progress has been made in analytical prediction methods, they are still not sufficiently accurate and experiments are of usefulness in order to develop or improve theoretical predictions for the phenomenon. To be able to predict ship motions from model test, a static as well as a dynamic similitude between the ship and model must be achieved, that is, reduced scale model must be prepared, being geometrically similar, having in scale: the total weight or displacement and the longitudinal and transversal mass distribution on model must be arranged in order to reproduce the total center of gravity and radius of gyration in scale. The experiments have been carried out at Valdivia- Chile ship model Towing Tank, using a scale model of small fishing transom stern typical vessel, whose main characteristics are shown in Table 1. CL Fig 3. Fishing Vessel and body plans for scale model. Roll Ang (deg) GMt =.37 mts Velocity = 3.42 Kn Wroll =.86 r/s We = r/s Wave Hight 2 hw=.6 m Roll Ang (deg) Figure 4. GMt =.5 mts V = 4.36 Kn Wroll = 1. rad/s We = 2. rad/s hw = 1.2 m Figs. 4 to 7 show some of experimental results of -2 transversal resonant oscillation scaled to real vessel in time domain for two typical metacentric height:.37m and.5 m. Figure 5

4 N. Perez Síntesis Tecnológica. V.3 Nº 1 (26) Roll Ang (deg) R oll A ng (deg) GMt =.37 mts V = 4.42 Kn Wroll =.858 rad/s We= rad/s hw=.9 m Figure 6 GMt =.5 mts V = 3,17 Kn Wroll = 1, rad/s We = 2, rad/s hw= 1,26 m 12 Roll Maximum Angle (degrees) Roll Max. Resonant Angle GMt=.5 m. hw = 1,5 m hw = 2, m hw = 2,5 m,5,7,9,11,13,15,17 Froude Number Figure 9 3. CONCLUSIONS 1. As can be seen, the resonant transversal parametric phenomenon, if present, can achieve great magnitude; reaching roll angles that can eventually -2 Figure 7 Figs. 8 and 9 allow show the maximum angles reached in this phenomenon in terms of speed of ship expressed by means of the Froude Number for ships as usual, Fn = Vb / (Lg).5 Vb = ship speed, L = ship length, g = gravity. Both, metacentric heights.37 m. and.5 m. Roll max. ang Roll Maximum Resonant angle GMt=.37 m.,5,1,15,2,25,3 Froude Number hw =,9 m hw = 1, m hw = 1,2 m hw = 1,4 m hw = 1,6 m Figure 8 generate other events dangerous in the operation of the ship, such as water boarding, load running, etc. with all the adverse technical implications likely to happen. So, it must be considered by designers and crews. 2. It is observed that in the majority of cases the phenomenon has a sudden development which is noticeable in time domain. 3. Notwithstanding the above, the following should be kept in mind: for the phenomenon to occur it is necessary for the waves to present a relatively regular appearance, and for the tuning described in (6) between the encounter frequency and the roll oscillation natural frequency of the ship to exist. But it is also perceived that there should exist a minimum excitation of the waves, capable of originating the phenomenon, the wave height being a good reference pattern. 4. When the height of the wave is enough to originate the phenomenon both the roll angle,35 amplitude achieved and the time in which high roll values are reached are observed to be greatly influenced; once again wave height springs here as one of the most dangerous variables in this situation. In higher values of Froude Number, that is, higher speed of ship, the phenomenon does not occur easily, wave heights must be greater magnitude, i.e. a necessary minimum excitation is required to originate the phenomenon, as it is shown in the unstable zones diagram in Fig Finally, the Metacentric Height of the ship in this case appears to influence with the consistency expected for the main static transversal stability variable, even when it should not be forgotten that the roll parametric resonance phenomenon is not one of

5 N. Perez Síntesis Tecnológica. V.3 Nº 1 (26) normal static stability but an in-wave ship dynamics phenomenon. REFERENCES [1] Kerwin, J.E. Notes on rolling in Longitudinal Waves, International Shipbuilding Progress, Vol 2, 16, [2] Paulling, J.R. The Transverse Stability of Ship in Running Ship Scale Model Longitudinal Seaway Journal of Ship Reaserch, Nº4, [3] Blocki, W.; Ship Safety in Connection with Resonance of the Roll ; International Shipbuilding Progress, No 36, 198. [4] Hamamoto M. et al; Analysis on Low Cycle Resonance of Ships in irregular Astern Seas, JSNAJ, No 178, [5] Skomedal, N.; Parametric excitation of Roll Motion and its influence on Stability, Proceedings of 2º Int. Conference on Stability of Ships and Ocean Vehicles. Tokyo, Oct [6] Neves M., Pérez N., Valerio L.; Stability of Scale model being arranged small fishing vessels in longitudinal waves, Ocean Engineering, Vol 26, No 12, Dec [7] Neves, M. A. S., Pérez, N., Lorca, O., Rodríguez, C., Hull Design Considerations for Improved Stability of Fishing Vessels in Waves. In: Proceedings of 8th, 23 International Conference on the Stability of Ships and Ocean Vehicles Madrid, Spain. [8] Umeda, N., Hashimoto, H., Vassalos, D., Urano, S., Okou, K.,. Non-Linear Dynamics on Parametric Roll Resonance with Realistic Numerical Modeling. Proceedings of 8th International Conference on the Stability of Ships and Ocean Vehicles (STAB 23), Madrid, Spain. [9] Spanos, D. Papanikolau, A,. Numerical Simulation of a Fishing Vessel in Parametric Roll in Head Seas, 8º International Workshop on Stability and operational safety of Ships, Istambul 25, Turkey. Roll Oscillation Test APPENDIX A Valdivia Ship Model Towing Tank Hydrodynamic Lab. (Austral University of hile)

6 N. Perez Síntesis Tecnológica. V.3 Nº 1 (26)

### NONLINEAR DYNAMICS ON PARAMETRIC ROLL RESONANCE WITH REALISTIC NUMERICAL MODELLING

8 th International Conference on 81 NONLINEAR DYNAMICS ON PARAMETRIC ROLL RESONANCE WITH REALISTIC NUMERICAL MODELLING Naoya Umeda*, Hirotada Hashimoto*, Dracos Vassalos**, Shinichi Urano* and Kenji Okou*

### ROLL 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,

### Experimental Analysis of Roll Damping in Small Fishing Vessels for Large Amplitude Roll Forecasting

International Ship Stability Workshop 213 1 Experimental Analysis of Roll Damping in Small Fishing Vessels for Large Amplitude Roll Forecasting Marcos Míguez González, Vicente Díaz Casás, Fernando López

### SEAKEEPING 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

### Motions 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.

### Seakeeping 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

### Trajectory 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.,

### Requirements 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

### PREDICTION 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

### SIMPLIFICATION 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

### Development 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

### SEAKEEPING NUMERICAL ANALYSIS IN IRREGULAR WAVES OF A CONTAINERSHIP

Mechanical Testing and Diagnosis ISSN 47 9635, 13 (III), Volume 1, pp. 19-31 SEAKEEPING NUMERICAL ANALYSIS IN IRREGULAR WAVES OF A CONTAINERSHIP Carmen GASPAROTTI, Eugen RUSU University of Galati, ROMANIA

### Effects 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

### Roll dynamics of a ship sailing in large amplitude head waves

J Eng Math DOI 10.1007/s10665-014-9687-4 Roll dynamics of a ship sailing in large amplitude head waves E. F. G. van Daalen M. Gunsing J. Grasman J. Remmert Received: 8 January 2013 / Accepted: 18 January

### DYNAMIC CHARACTERISTICS OF OFFSHORE TENSION LEG PLATFORMS UNDER HYDRODYNAMIC FORCES

International Journal of Civil Engineering (IJCE) ISSN(P): 2278-9987; ISSN(E): 2278-9995 Vol. 3, Issue 1, Jan 214, 7-16 IASET DYNAMIC CHARACTERISTICS OF OFFSHORE TENSION LEG PLATFORMS UNDER HYDRODYNAMIC

### A NUMERICAL IDENTIFICATION OF EXCITATION FORCE AND NONLINEAR RESTORING CHARACTERISTICS OF SHIP ROLL MOTION

ournal of Marine Science and Technology Vol. 5 No. 4 pp. 475-481 (017 475 DOI: 10.6119/MST-017-0418-1 A NUMERICAL IDENTIFICATION OF EXCITATION FORCE AND NONNEAR RESTORING CHARACTERISTICS OF SHIP ROLL MOTION

### Seakeeping 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

### CONDITIONS OF PARAMETRIC ROLLING. Vladimir Shigunov, Ould El Moctar, Helge Rathje. Germanischer Lloyd AG, Hamburg,

10 th International Conference 521 CONDITIONS OF PARAMETRIC ROLLING Vladimir Shigunov, Ould El Moctar, Helge Rathje Germanischer Lloyd AG, Hamburg, vladimir.shigunov@gl-group.com ABSTRACT The paper considers

### Ship 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,

### Estimating Maneuvering and Seakeeping Characteristics with Neural Networks

070131-071 1 Estimating Maneuvering and Seakeeping Characteristics with Neural Networks Paulo Triunfante Martins 1, Victor Lobo 2, Member, IEEE Maneuvering and seakeeping are two very important naval architecture

### Time domain assessment of nonlinear coupled ship motions and sloshing in free surface tanks

Time domain assessment of nonlinear coupled ship motions and sloshing in free surface tanks 1 outline 1.Motivation & state-of-the-art 2.Simulation approach 1.SHIXDOF: nonlinear ship motion TD 6DOF 2.AQUAgpusph:

### NUMERICAL MODELLING AND STUDY OF PARAMETRIC ROLLING FOR C11 CONTAINERSHIP IN REGULAR HEAD SEAS USING CONSISTENT STRIP THEORY

Brodogradnja/Shipbuilding/Open access Volume 68 Number 3, 217 Kaiye HU Rui WANG Shan MA Wenyang DUAN Wenhao XU Rui DENG http://dx.doi.org/1.21278/brod6839 ISSN 7-215X eissn 185-5859 NUMERICAL MODELLING

### PARAMETRIC EXCITATION OF A DWSC. A Thesis CHANDAN LAKHOTIA

PARAMETRIC EXCITATION OF A DWSC A Thesis by CHANDAN LAKHOTIA Submitted to the Office of Graduate Studies of Texas A&M University in partial fulfillment of the requirements for the degree of MASTER OF SCIENCE

### A simplified method for calculating propeller thrust decrease for a ship sailing on a given shipping lane

POLISH MARITIME RESEARCH 2(82) 2014 Vol 21; pp. 27-33 10.2478/pomr-2014-0015 A simplified method for calculating propeller thrust decrease for a ship sailing on a given shipping lane Katarzyna Zelazny,

### Effect of Tethers Tension Force in the Behavior of a Tension Leg Platform Subjected to Hydrodynamic Force Amr R. El-Gamal, Ashraf Essa, Ayman Ismail

Vol:7, No:1, 13 Effect of Tethers Tension Force in the Behavior of a Tension Leg Platform Subjected to Hydrodynamic Force Amr R. El-Gamal, Ashraf Essa, Ayman Ismail International Science Index, Bioengineering

### INVESTIGATION OF SEAKEEPING CHARACTERISTICS OF HIGH-SPEED CATAMARANS IN WAVES

Journal of Marine Science and Technology, Vol. 12, No. 1, pp. 7-15 (2004) 7 INVESTIGATION OF SEAKEEPING CHARACTERISTICS OF HIGH-SPEED CATAMARANS IN WAVES Chih-Chung Fang* and Hoi-Sang Chan** Key words:

### WAMIT-MOSES Hydrodynamic Analysis Comparison Study. JRME, July 2000

- Hydrodynamic Analysis Comparison Study - Hydrodynamic Analysis Comparison Study JRME, Prepared by Hull Engineering Department J. Ray McDermott Engineering, LLC 1 - Hydrodynamic Analysis Comparison Study

### Quantitative Assessment of Ship Behaviour in Critical Stern Quartering Seas

Quantitative Assessment of Ship Behaviour in Critical Stern Quartering Seas Maria Acanfora* and Jerzy Matusiak Dept. of Applied Mechanics, School of Engineering, Aalto University of Espoo, Finland Abstract:

### ( ) Chapter 3: Free Vibration of the Breakwater. 3.1 Introduction

Chapter : Free Vibration of the Breakwater. Introduction Before conducting forcing analyses on the breakwater, a free vibration study is necessary. This chapter will describe the analysis conducted to

### PREDICTION 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

### Final 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,

### Amplitude, Phase and Frequency Fuzzy Controllers of a Fast Ferry Vertical Motion

Amplitude, Phase and Frequency Fuzzy Controllers of a Fast Ferry Vertical Motion R. López, M. Santos, J.M. de la Cruz Dpto. Arquitectura de Computadores y Automática. CC. Físicas. Universidad Complutense

### Breu, Frequency Detuning of Parametric Roll

Frequency Detuning of Parametric Roll Conference on CeSOS Highlights and AMOS Visions, May 29, 2013 Dominik Breu Department of Engineering Cybernetics, NTNU, Trondheim, Norway Centre for Ships and Ocean

### International Journal of Scientific & Engineering Research Volume 9, Issue 2, February ISSN

International Journal of Scientific & Engineering Research Volume 9, Issue, February-8 48 Structural Response of a Standalone FPSO by Swell Wave in Offshore Nigeria Abam Tamunopekere Joshua*, Akaawase

### Simple 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

### Study on Motions of a Floating Body under Composite External Loads

137 Study on Motions of a Floating Body under Composite External Loads by Kunihiro Ikegami*, Member Masami Matsuura*, Member Summary In the field of marine engineering, various types of floating bodies

### Head-Waves Parametric Rolling of Surface Combatant

Frederick Stern 1 and Emilio F. Campana 2 1 IIHR - Hydroscience & Engineering, The University of Iowa, Iowa City, IA, 52242, USA 2 INSEAN - Italian Ship Model Basin, Via di Vallerano 139, 00128 Roma, Italy

### Dynamics 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

### Influence of yaw-roll coupling on the behavior of a FPSO: an experimental and numerical investigation

Influence of yaw-roll coupling on the behavior of a FPSO: an experimental and numerical investigation Claudio Lugni a,b, Marilena Greco a,b, Odd Magnus Faltinsen b a CNR-INSEAN, The Italian Ship Model

### Hydrodynamic analysis and modelling of ships

Hydrodynamic analysis and modelling of ships Wave loading Harry B. Bingham Section for Coastal, Maritime & Structural Eng. Department of Mechanical Engineering Technical University of Denmark DANSIS møde

### RULES 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

### NONLINEAR BEHAVIOR OF A SINGLE- POINT MOORING SYSTEM FOR FLOATING OFFSHORE WIND TURBINE

NONLINEAR BEHAVIOR OF A SINGLE- POINT MOORING SYSTEM FOR FLOATING OFFSHORE WIND TURBINE Ma Chong, Iijima Kazuhiro, Masahiko Fujikubo Dept. of Naval Architecture and Ocean Engineering OSAKA UNIVERSITY RESEARCH

### INFLUENCE OF TETHER LENGTH IN THE RESPONSE BEHAVIOR OF SQUARE TENSION LEG PLATFORM IN REGULAR WAVES

INFLUENCE OF TETHER LENGTH IN THE RESPONSE BEHAVIOR OF SQUARE TENSION LEG PLATFOR IN REGULAR WAVES 1 Amr R. El-gamal, 2 Ashraf Essa, 1 Faculty of Engineering, Benha Univ., Egypt, 2 Associated prof., National

### Numerical 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

### On 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

### Stability 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

### AMME3500: System Dynamics & Control

Stefan B. Williams May, 211 AMME35: System Dynamics & Control Assignment 4 Note: This assignment contributes 15% towards your final mark. This assignment is due at 4pm on Monday, May 3 th during Week 13

### A case study on operational limitations by means of navigation simulation

Proceedings of the 16 th International Ship Stability Workshop, 5-7 June 2017, Belgrade, Serbia 1 A case study on operational limitations by means of navigation simulation Hirotada Hashimoto, Kobe University,

### Optimal Design of FPSO Vessels

November 2, 201 Optimal Design of FPSO Vessels Ezebuchi Akandu PhD, MTech, BTech, COREN, RINA, MNSE Department of Marine Engineering, Rivers State University, Port Harcourt, Nigeria akandu.ezebuchi@ust.edu.ng

### Final Exam December 13, 2016

Final Exam Instructions: You have 120 minutes to complete this exam. This is a closed-boo, closed-notes exam. You are allowed to use a calculator during the exam. Do NOT unstaple your exam. Do NOT write

### Class XI Physics Syllabus One Paper Three Hours Max Marks: 70

Class XI Physics Syllabus 2013 One Paper Three Hours Max Marks: 70 Class XI Weightage Unit I Physical World & Measurement 03 Unit II Kinematics 10 Unit III Laws of Motion 10 Unit IV Work, Energy & Power

### INSTITUTE OF AERONAUTICAL ENGINEERING (Autonomous) Dundigal, Hyderabad

INSTITUTE OF AERONAUTICAL ENGINEERING (Autonomous) Dundigal, Hyderabad - 500 043 AERONAUTICAL ENGINEERING DEFINITIONS AND TERMINOLOGY Course Name : ENGINEERING MECHANICS Course Code : AAEB01 Program :

### INVESTIGATION OF PARAMETRIC ROLL OF A CONTAINER SHIP IN IRREGULAR SEAS BY NUMERICAL SIMULATION

10 th International Conference 549 INVESTIGATION OF PARAMETRIC ROLL OF A CONTAINER SHIP IN IRREGULAR SEAS BY NUMERICAL SIMULATION Sa Young Hong, MOERI/KORDI,171 Jang-dong, Daejeon,305-343 KOREA, sayhong@moeri.re.kr,

### RULES 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

### Numerical and Experimental Investigation of Parametric Roll

Numerical and Experimental Investigation of Parametric Roll Johannes Joachim Kalevi Geyssel Marine Technology Submission date: June 2013 Supervisor: Marilena Greco, IMT Norwegian University of Science

### SPRINGING 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

### Mooring Model for Barge Tows in Lock Chamber

Mooring Model for Barge Tows in Lock Chamber by Richard L. Stockstill BACKGROUND: Extensive research has been conducted in the area of modeling mooring systems in sea environments where the forcing function

### - inertia forces due to the virtual mass of the tanker

OTC 7444 Investigation Into Scale Effects on Motions and Mooring Forces of a Turret-Moored Tanker Johan Wichers and Albert Dercksen, Maritime Research Inst. Netherlands Copyright 1994, Offshore Technology

### Ship seakeeping in UKC determination a further study on wave force transfer functions

Scientific Journals Maritime University of Szczecin Zeszyty Naukowe Akademia Morska w Szczecinie, 3() z. pp. 5 5, 3() z. s. 5 5 Ship seakeeping in UKC determination a further study on wave force transfer

### Final Exam April 30, 2013

Final Exam Instructions: You have 120 minutes to complete this exam. This is a closed-book, closed-notes exam. You are allowed to use a calculator during the exam. Usage of mobile phones and other electronic

### Hull 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

### PHYSICS. Course Structure. Unit Topics Marks. Physical World and Measurement. 1 Physical World. 2 Units and Measurements.

PHYSICS Course Structure Unit Topics Marks I Physical World and Measurement 1 Physical World 2 Units and Measurements II Kinematics 3 Motion in a Straight Line 23 4 Motion in a Plane III Laws of Motion

### Ship structure dynamic analysis - effects of made assumptions on computation results

Ship structure dynamic analysis - effects of made assumptions on computation results Lech Murawski Centrum Techniki Okrętowej S. A. (Ship Design and Research Centre) ABSTRACT The paper presents identification

### Transport 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

### Chapter IV. (Ship Hydro-Statics & Dynamics) Floatation & Stability

Chapter V (Ship Hydro-Statics & Dynamics) Floatation & Stability 4.1 mportant Hydro-Static Curves or Relations (see Fig. 4.11 at p44 & handout) Displacement Curves (displacement [molded, total] vs. draft,

### OTG-13. Prediction of air gap for column stabilised units. Won Ho Lee 01 February Ungraded. 01 February 2017 SAFER, SMARTER, GREENER

OTG-13 Prediction of air gap for column stabilised units Won Ho Lee 1 SAFER, SMARTER, GREENER Contents Air gap design requirements Purpose of OTG-13 OTG-13 vs. OTG-14 Contributions to air gap Linear analysis

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

### IDENTIFICATION OF SHIP PROPELLER TORSIONAL VIBRATIONS

Journal of KONES Powertrain and Transport, Vol., No. 015 IDENTIFICATION OF SHIP PROPELLER TORSIONAL VIBRATIONS Jan Rosłanowski Gdynia Maritime University, Faculty of Marine Engineering Morska Street 81-87,

### Comparison of Present Wave Induced Load Criteria with Loads Induced by an Abnormal Wave

Rogue Waves 2004 1 Comparison of Present Wave Induced Load Criteria with Loads Induced by an Abnormal Wave C. Guedes Soares, N. Fonseca, R. Pascoal Unit of Marine Engineering and Technology, Technical

### Delft University of Technology. Norwegian University of Science and Technology. Parametric Instability of the Pitch Motion of the STC Concept

Delft University of Technology Norwegian University of Science and Technology OE54030 Master Thesis TMR5950 Wind Turbine Energy - Offshore Engineering, Master Thesis Parametric Instability of the Pitch

### Hydrostatics 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

### RULES 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

### AD-AllS 410 NAVAL ACADEMY ANNAPOLIS MD DIV OF ENGINEERING AND WEAPONS F/S 13/101 COMPUTED MOTION RESPONSE OPERATORS FOR THE USCA, WHEC HAMILTON.

AD-AllS 410 NAVAL ACADEMY ANNAPOLIS MD DIV OF ENGINEERING AND WEAPONS F/S 13/101 COMPUTED MOTION RESPONSE OPERATORS FOR THE USCA, WHEC HAMILTON. (U) JAN 82 0 0 MORAN. 0 M GENTILE UNCLASSIFIED USNAEW-1-82

### HEAVE DAMPING EFFECTS DUE TO CIRCULAR PLATES ATTACHED AT KEEL TO SPAR HULL

HEAVE DAMPING EFFECTS DUE TO CIRCULAR PLATES ATTACHED AT KEEL TO SPAR HULL P.Uma 1 1 M.TECH Civil Engineering Dadi Institute of Engineering and Technology College Abstract Single point Anchor Reservoir

### Evaluation of Hydrodynamic Performance of a Damaged Ship in Waves

Evaluation of Hydrodynamic Performance of a Damaged Ship in Waves Sa Young Hong, Seok-Kyu Cho, Byoung Wan Kim, Gyeong Jung Lee, Ki-Sup Kim Maritime and Ocean Engineering Research Institute/KORDI, Daejeon,

### Classification of offshore structures

Classification: Internal Status: Draft Classification of offshore structures A classification in degree of non-linearities and importance of dynamics. Sverre Haver, StatoilHydro, January 8 A first classification

### PARAMETRICALLY EXCITED TRANSVERSE PLANE INSTABILITIES ON HIGH SPEED PLANING HULLS

PARAMETRICALLY EXCITED TRANSVERSE PLANE INSTABILITIES ON HIGH SPEED PLANING HULLS by Oscar Darío Tascón Muñoz A dissertation submitted in partial fulfillment of the requirements for the degree of Doctor

### Laboratory notes. Torsional Vibration Absorber

Titurus, Marsico & Wagg Torsional Vibration Absorber UoB/1-11, v1. Laboratory notes Torsional Vibration Absorber Contents 1 Objectives... Apparatus... 3 Theory... 3 3.1 Background information... 3 3. Undamped

### FLUID STRUCTURE INTERACTIONS PREAMBLE. There are two types of vibrations: resonance and instability.

FLUID STRUCTURE INTERACTIONS PREAMBLE There are two types of vibrations: resonance and instability. Resonance occurs when a structure is excited at a natural frequency. When damping is low, the structure

### WEEKS 8-9 Dynamics of Machinery

WEEKS 8-9 Dynamics of Machinery References Theory of Machines and Mechanisms, J.J.Uicker, G.R.Pennock ve J.E. Shigley, 2011 Mechanical Vibrations, Singiresu S. Rao, 2010 Mechanical Vibrations: Theory and

### Oscillatory Motion and Wave Motion

Oscillatory Motion and Wave Motion Oscillatory Motion Simple Harmonic Motion Wave Motion Waves Motion of an Object Attached to a Spring The Pendulum Transverse and Longitudinal Waves Sinusoidal Wave Function

### Design, 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

### Review Article Modeling of Ship Roll Dynamics and Its Coupling with Heave and Pitch

Hindawi Publishing Corporation Mathematical Problems in Engineering Volume 21, Article ID 934714, 32 pages doi:1.1155/21/934714 Review Article Modeling of Ship Roll Dynamics and Its Coupling with Heave

### ESTIMATION 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

### e jωt = cos(ωt) + jsin(ωt),

This chapter introduces you to the most useful mechanical oscillator model, a mass-spring system with a single degree of freedom. Basic understanding of this system is the gateway to the understanding

### Dynamics and Control of the GyroPTO Wave Energy Point Absorber under Sea Waves

Available online at www.sciencedirect.com ScienceDirect Procedia Engineering 99 (7) 88 8 X International Conference on Structural Dynamics, EURODYN 7 Dynamics and Control of the GyroPTO Wave Energy Point

### Assessment Schedule 2016 Physics: Demonstrate understanding of mechanical systems (91524)

NCEA Level 3 Physics (91524) 2016 page 1 of 6 Assessment Schedule 2016 Physics: Demonstrate understanding of mechanical systems (91524) Evidence Statement NØ N1 N2 A3 A4 M5 M6 E7 E8 No response; no relevant

### SLAMMING 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

### 1859. Forced transverse vibration analysis of a Rayleigh double-beam system with a Pasternak middle layer subjected to compressive axial load

1859. Forced transverse vibration analysis of a Rayleigh double-beam system with a Pasternak middle layer subjected to compressive axial load Nader Mohammadi 1, Mehrdad Nasirshoaibi 2 Department of Mechanical

### Aalto 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

### LANMARK UNIVERSITY OMU-ARAN, KWARA STATE DEPARTMENT OF MECHANICAL ENGINEERING COURSE: MECHANICS OF MACHINE (MCE 322). LECTURER: ENGR.

LANMARK UNIVERSITY OMU-ARAN, KWARA STATE DEPARTMENT OF MECHANICAL ENGINEERING COURSE: MECHANICS OF MACHINE (MCE 322). LECTURER: ENGR. IBIKUNLE ROTIMI ADEDAYO SIMPLE HARMONIC MOTION. Introduction Consider

### VIBRATION ANALYSIS IN SHIP STRUCTURES BY FINITE ELEMENT METHOD

Proceedings of COBEM 2007 Copyright 2007 by ABCM 19th International Congress of Mechanical Engineering November 5-9, 2007, Brasília, DF VIBRATION ANALYSIS IN SHIP STRUCTURES BY FINITE ELEMENT METHOD Luiz

### The 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

### Chapter 15. Oscillatory Motion

Chapter 15 Oscillatory Motion Part 2 Oscillations and Mechanical Waves Periodic motion is the repeating motion of an object in which it continues to return to a given position after a fixed time interval.

### LAST TIME: Simple Pendulum:

LAST TIME: Simple Pendulum: The displacement from equilibrium, x is the arclength s = L. s / L x / L Accelerating & Restoring Force in the tangential direction, taking cw as positive initial displacement

### Automated Estimation of an Aircraft s Center of Gravity Using Static and Dynamic Measurements

Proceedings of the IMAC-XXVII February 9-, 009 Orlando, Florida USA 009 Society for Experimental Mechanics Inc. Automated Estimation of an Aircraft s Center of Gravity Using Static and Dynamic Measurements

### WAVES & SIMPLE HARMONIC MOTION

PROJECT WAVES & SIMPLE HARMONIC MOTION EVERY WAVE, REGARDLESS OF HOW HIGH AND FORCEFUL IT CRESTS, MUST EVENTUALLY COLLAPSE WITHIN ITSELF. - STEFAN ZWEIG What s a Wave? A wave is a wiggle in time and space

### A Discussion About Seakeeping and Manoeuvring Models For Surface Vessels

A Discussion About Seakeeping and Manoeuvring Models For Surface Vessels Tristan Perez, Thor I. Fossen and Asgeir Sørensen Technical Report (MSS-TR-001) Marine System Simulator (MSS) Group (http://www.cesos.ntnu.no/mss/)