LINKÖPINGS TEKNISKA HÖGSKOLA. Fluid and Mechanical Engineering Systems
|
|
- Holly Sanders
- 6 years ago
- Views:
Transcription
1 (6) Fluid nd Mechnicl Engineering Sytem ) Cvittion in orifice In hydrulic ytem cvittion occur downtrem orifice with high preure drop. For n orifice with contnt inlet preure of p = 00 br cvittion will trt when the outlet preure i reduced to p = 7 br. Aume tht the inlet preure i chnged to p = 80 br. For which vlue of p cn cvittion now be expected? A wy to void cvittion i to plit the preure drop over two or more orifice in eril connection. Decribe with eqution, which of two eril connected orifice cn tke the highet preure drop without ny rik for cvittion. (Aume tht the outlet preure for the econd orifice i zero). (4p) b) Servo vlve with buhing The min tge in n dvnced ervo vlve conit of pool nd vlve buhing. Decribe qulittively the benefit of uing buhing compred to vlve without buhing it the preure level i high. c) Flow force on pool vlve in contnt preure ytem The figure below how 4port criticl centre ervo vlve connected to contnt preure controlled pump. A digrm how the meured flow force veru vlve diplcement, x v. p p q p q v Dp v x v F 65 N n p p T = 0 F 0 0,6*x vmx x vmx x v Aume tht the mx pump flow (q pmx ) i increed to the me level the mx flow cpcity of the vlve with the me preure drop, Δp v for the meured ce. Show in digrm nd clculte the mximum flow force for tht ce.
2 3(6) Fluid nd Mechnicl Engineering Sytem ) Vlve wer nd it influence on vlve coefficient Wer on the orifice edge in zerolpped ervo vlve will cue chnge in the tedy tte chrcteritic round neutrl pool poition (x v = 0). Which of the vlve coefficient will be mot ffected by wer nd how i the cloed loop tiffne in poition ervo with proportionl controller gin influenced by thi? b) Direct driven ervo vlve in poition ervo A direct driven vlve, ccording to the figure below, i ued in poition ervo with proportionl controller. Decribe qulittively how the flow force will influence the tbility of the ervo ytem. A B Proportionlmgnet P T (p) c) Vlve controlled nd pump controlled poition ervo The figure below how vlve controlled nd pump controlled motor. Both ytem re ued rotting poition ervo with proportionl control. Volume, bulk modulu, motor diplcement nd lod inerti re equl in both ytem. Aume tht in the mot criticl operting point both ytem hve the me flow/preurecoefficient (K ce = C t ) nd the me mplitude mrgin, A m = 6 db. Show with eqution which of the ytem will given the highet tedy tte tiffne, ΔT L /Δθ m 0. (The tiffne of the cloed loop ytem i ked for). V e p p V V J t T L D m J t T L w p D p p m = kont p V D m
3 4(6) Fluid nd Mechnicl Engineering Sytem Poition ervo with 3port ervo vlve nd n ymmetric cylinder The figure how n electrohydrulic poition ervo with 3port vlve nd n ymmetric cylinder loded by m nd n externl force. The ervo h proportionl poition control with feedbck gin of x nd controller gin of K reg. The ervo vlve i zerolpped nd it h ymmetric nd mtched orifice nd the nullcoefficient re K qi0 nd K c0. The vlve h high bndwidth but h threhold, i T. The upply preure, p i contnt. The piton re i A, the re on the piton rod ide i A / nd the cylinder volume on the piton ide i V. The cylinder i umed to hve no lekge nd friction. The bndwidth of the cloed loop ervo ytem i b (with the mplitude 3 db, for given opertion point). Prmeter vlue: A =, m M t = 00 kg β e = 00 MP V = 0, m 3 p = 4 MP K qi0 = 0,03 m 3 /A K c0 = 8,0. 0 m 5 /N x = 5 V/m b = 5 rd/ i T = 0,4 ma ) Stedy tte poition error Clculte the mximum poition error (ΔX p ) which cn be cued by lod diturbnce ΔF L = 000 N nd together with the threhold of the vlve, i T. b) Lgcompention of the control loop Aume tht the proportionl poition controller (K reg ) i extended by lg filter / LC with the trnfer function GLC ( ) = α. The tedy tte gin α =,0. α / Clculte for thi ce the poition error cued by lod diturbnce only, (ccording to tk ). c) Influence from ervo vlve with low repone Dicu in generl how the bndwidth of the ervo ytem will be influenced if the vlve repone i lower tht the dynmic of the ctutor nd lod. (p) LC
4 5(6) Fluid nd Mechnicl Engineering Sytem Angulr poition ervo with dynmic preure feedbck G reg G p () p p L J t T L V V The figure how n elektrohydrulic poition ervo with vlve controlled motor. The proportionl controller h the gin G reg = K = 0,04 A/V. In order to incree the hydrulic dmping dynmic lod preure feedbck with the gin function G p ()= K pf. /( /f ) i implemented. The ervo vlve i of 4port type, zerolpped, with high bndwidth nd it zerocoefficient re K qi0 = 0,03 m 3 /A nd K c0 =,0. 0 m 5 /N. The volume between vlve nd motor re V = V = 0,5 litre nd it bulk modulu i β e = 000 MP. The motor diplcement i D m = 6, m 3 /rd, the lekge flow coefficient i C tm = 8, m 5 /N nd the vicou friction coefficient B m = 0. The motor hft inerti i J t = 0,5 kgm. ) Adjutment of the preure feedbck for given hydrulic dmping Clculte the ttic gin K pf for the lod preure feedbck, which give the hydrulic dmping δ h = 0,35 t the frequency h. The brek frequency in the preure feedbck filter i f = h /. (7p) b) The preure feedbck nd it influence on tedy tte tiffne Show with eqution tht the dynmic preure feedbck h mrginl effect on the tedy tte tiffne of the cloed loop ytem.
5 6(6) Fluid nd Mechnicl Engineering Sytem Lod dynmic for vlve controlled hydrulic cylinder The figure below how vlve controlled hydrulic cylinder loded by the me M nd M. The connection between the me include pring nd dmper (pring contnt K L nd vicou friction coeff B L ). The piton poition x p i fed bck to proportionl regultor with the gin G reg = K. x p M K L M p C C p Poition trnducer B L x L u c u f Servo mplifier K i P = cont. A u () The block digrm from vlve input ignl (i) to piton velocity (X p ) i: K qi i P L A V t p K ce X p GLX () (M M ) 4b e The trnfer function of the mechnic i G LX ( ) = δ δ, ( < ) ) Block digrm, frequency nd dmping of the poition ervo Reduce the feedbck in the bove block digrm nd drw new one for the complete poition ervo. Define the hydrulic reonnce frequency nd the dmping ( h, δ h ). b) Poition ervo loop gin for K h << K L Derive from the block digrm n expreion of the poition ervo loop gin A u () when the hydrulic pring contnt K h = 4β e A p /V t i much lower thn the mechnicl pring contnt K L ( h << ).
Fig. 1. Open-Loop and Closed-Loop Systems with Plant Variations
ME 3600 Control ystems Chrcteristics of Open-Loop nd Closed-Loop ystems Importnt Control ystem Chrcteristics o ensitivity of system response to prmetric vritions cn be reduced o rnsient nd stedy-stte responses
More informationCONSTRUCTIVE CHARACTERISTICS AND MATHEMATICAL MODELLING OF MECHANIC-HIDRAULIC NETWORKS FOR COMPENSATING THE DYNAMICS OF ASSYMETRIC HYDRAULIC MOTORS
Scientific Bulletin of the Politehnic Univerity of Timior Trnction on Mechnic Specil iue The 6 th Interntionl Conference on Hydrulic Mchinery nd Hydrodynmic Timior, Romni, October -, 004 CONSTRUCTIVE CHRCTERISTICS
More informationSTABILITY and Routh-Hurwitz Stability Criterion
Krdeniz Technicl Univerity Deprtment of Electricl nd Electronic Engineering 6080 Trbzon, Turkey Chpter 8- nd Routh-Hurwitz Stbility Criterion Bu der notlrı dece bu deri ln öğrencilerin kullnımın çık olup,
More informationExamination Electrical Machines and Drives Et4-117 Thursday, October 30, 2003 from 9.00 to 12.00
Exmintion Electricl Mchine nd Drive Et4-117 Thurdy, Octoer 30, 003 from 900 to 100 Thi exmintion conit of 6 prolem The numer efore prolem indicte how mny point cn e erned with thi prolem 15 Prolem 1 c
More informationSection 4.2 Analysis of synchronous machines Part II
Section 4. Anlyi of ynchronou mchine Prt 4.. Sttor flux linkge in non-lient pole ynchronou motor due to rotor The ir-gp field produced by the rotor produce flux linkge with individul phe winding. Thee
More informationAPPENDIX 2 LAPLACE TRANSFORMS
APPENDIX LAPLACE TRANSFORMS Thi ppendix preent hort introduction to Lplce trnform, the bic tool ued in nlyzing continuou ytem in the frequency domin. The Lplce trnform convert liner ordinry differentil
More informationPHYSICS 211 MIDTERM I 22 October 2003
PHYSICS MIDTERM I October 3 Exm i cloed book, cloed note. Ue onl our formul heet. Write ll work nd nwer in exm booklet. The bck of pge will not be grded unle ou o requet on the front of the pge. Show ll
More informationCONTROL SYSTEMS LABORATORY ECE311 LAB 3: Control Design Using the Root Locus
CONTROL SYSTEMS LABORATORY ECE311 LAB 3: Control Deign Uing the Root Locu 1 Purpoe The purpoe of thi lbortory i to deign cruie control ytem for cr uing the root locu. 2 Introduction Diturbnce D( ) = d
More informationSeries-Hybrid Components
-Hyrid Components roportionl Electro-Hydrulic Controls ypes rphic Symols x. perting ressure (SI) ximum Flow U.S..5 3 5 0 30 0 00 3 5 0 30 0 00 300 0 00 L/min ge ilot Relief s (35) EHD 0 658 ressure Control
More informationCHOOSING THE NUMBER OF MODELS OF THE REFERENCE MODEL USING MULTIPLE MODELS ADAPTIVE CONTROL SYSTEM
Interntionl Crpthin Control Conference ICCC 00 ALENOVICE, CZEC REPUBLIC y 7-30, 00 COOSING TE NUBER OF ODELS OF TE REFERENCE ODEL USING ULTIPLE ODELS ADAPTIVE CONTROL SYSTE rin BICĂ, Victor-Vleriu PATRICIU
More informationTransfer Functions. Chapter 5. Transfer Functions. Derivation of a Transfer Function. Transfer Functions
5/4/6 PM : Trnfer Function Chpter 5 Trnfer Function Defined G() = Y()/U() preent normlized model of proce, i.e., cn be ued with n input. Y() nd U() re both written in devition vrible form. The form of
More informationPROPORTIONAL ELECTRO-HYDRAULIC CONTOROLS
H RRINL ELECR-HDRULIC CNRLS -Hyrid Components...ge 656 roportionl Electro-Hydrulic Control s...ge 667 roportionl Electro-Hydrulic Controls 655 High-ccurcy, simple, convenient relizes your drems. Why simple?
More informationELE B7 Power Systems Engineering. Power System Components Modeling
Power Systems Engineering Power System Components Modeling Section III : Trnsformer Model Power Trnsformers- CONSTRUCTION Primry windings, connected to the lternting voltge source; Secondry windings, connected
More informationDYNAMICS VECTOR MECHANICS FOR ENGINEERS: Plane Motion of Rigid Bodies: Forces and Accelerations. Seventh Edition CHAPTER
CHAPTER 16 VECTOR MECHANICS FOR ENGINEERS: DYNAMICS Ferdinnd P. Beer E. Ruell Johnton, Jr. Lecture Note: J. Wlt Oler Tex Tech Univerity Plne Motion of Rigid Bodie: Force nd Accelertion Content Introduction
More informationObserver based adaptive tuned mass damper with a controllable MR damper
Proceeding of the 9th Interntionl Conference on Structurl Dynmic, EURODYN 014 Porto, Portugl, 30 June - July 014 A. Cunh, E. Cetno, P. Ribeiro, G. Müller (ed.) ISSN: 311-900; ISBN: 978-97-75-165-4 Oberver
More informationDepartment of Mechanical Engineering MECE 551 Final examination Winter 2008 April 16, 9:00 11:30. Question Value Mark
Deprtment of Mechnicl Engineering MECE 55 Finl exmintion Winter 8 April 6, 9: :3 Notes: You my hve your text book nd one pge formul sheet Electronic devices re not llowed except n pproved clcultor NAME:
More informationAEIJST June Vol 2 Issue 6 ISSN
Theoretical Invetigation Performance of Proportional Directional Control Value Uing Matlab /Simulink *Sudhindra R. Kulkarni **S.H.Kulkarni ***Sudhindra R. Kulkarni *Department of Mechanical Engineering,
More informationTP 10:Importance Sampling-The Metropolis Algorithm-The Ising Model-The Jackknife Method
TP 0:Importnce Smpling-The Metropoli Algorithm-The Iing Model-The Jckknife Method June, 200 The Cnonicl Enemble We conider phyicl ytem which re in therml contct with n environment. The environment i uully
More informationWhen current flows through the armature, the magnetic fields create a torque. Torque = T =. K T i a
D Motor Bic he D pernent-gnet otor i odeled reitor ( ) in erie with n inductnce ( ) nd voltge ource tht depend on the ngulr velocity of the otor oltge generted inide the rture K ω (ω i ngulr velocity)
More informationSolution of Tutorial 2 Converter driven DC motor drive
chool of Electricl Engineering & Telecommunictions, UNW olution of Tutoril Converter driven DC motor drive Question 1. T V s D V I L E V 50 V,.5, I 0 A rted rted f 400 Hz, 0 rev/ min s rted (i) 0 6.8 rd
More informationpositive definite (symmetric with positive eigenvalues) positive semi definite (symmetric with nonnegative eigenvalues)
Chter Liner Qudrtic Regultor Problem inimize the cot function J given by J x' Qx u' Ru dt R > Q oitive definite ymmetric with oitive eigenvlue oitive emi definite ymmetric with nonnegtive eigenvlue ubject
More information3-Way Mixing and Sequencing Globe Valves, Flared (5/8 in. O.D.) with Electric, Hydraulic, and Pneumatic Actuators
lectric, Hydrulic, nd Pneumtic ctutors TL 1. Select Vlve ody including P ode (Vlve Size, v Rting, Port ode) or select Vlve ssemly correct (refer to Tle 3 nd Tle 3 lso) less ctutor ode (XXX) including the
More informationVSS CONTROL OF STRIP STEERING FOR HOT ROLLING MILLS. M.Okada, K.Murayama, Y.Anabuki, Y.Hayashi
V ONTROL OF TRIP TEERING FOR OT ROLLING MILL M.Okd.Murym Y.Anbuki Y.yhi Wet Jpn Work (urhiki Ditrict) JFE teel orportion wkidori -chome Mizuhim urhiki 7-85 Jpn Abtrct: trip teering i one of the mot eriou
More informationEE Control Systems LECTURE 8
Coyright F.L. Lewi 999 All right reerved Udted: Sundy, Ferury, 999 EE 44 - Control Sytem LECTURE 8 REALIZATION AND CANONICAL FORMS A liner time-invrint (LTI) ytem cn e rereented in mny wy, including: differentil
More informationDesign of a Piezoelectric Actuator Using Topology Optimization
Univerity of Tenneee, Knoxville Trce: Tenneee Reerch nd Cretive Exchnge Mter Thee Grdute School 5-23 Deign of Piezoelectric Actutor Uing Topology Optimiztion Jochim Drenckhn Univerity of Tenneee - Knoxville
More information4/3, 4/2 and 3/2 directional valve. with mechanical, manual operation. Type WMR(U)10...L3X. Contents. Features 01/06 2.7
01/0 4/3, 4/2 nd 3/2 directionl vlve with mechnicl, mnul opertion 2.7 Type WMR(U)10...L3X Size 10 Up to 315r Up to 120L/min Contents Function Specifiction Symols 03 Technicl dt 03 Operting limittion 04
More informationChapter 3. Generator and Transformer Models; The Per-Unit System
3.1 Introduction Chpter 3. Genertor nd Trnforer Model; The Per-Unit Syte 1. Ue of the "per phe" bi to repreent three-phe blnced yte.. Ue the π odel to decribe trniion line (ee Chpter 5). 3. Siple odel
More informationME 375 FINAL EXAM Wednesday, May 6, 2009
ME 375 FINAL EXAM Wedneday, May 6, 9 Diviion Meckl :3 / Adam :3 (circle one) Name_ Intruction () Thi i a cloed book examination, but you are allowed three ingle-ided 8.5 crib heet. A calculator i NOT allowed.
More information2. The Laplace Transform
. The Lplce Trnform. Review of Lplce Trnform Theory Pierre Simon Mrqui de Lplce (749-87 French tronomer, mthemticin nd politicin, Miniter of Interior for 6 wee under Npoleon, Preident of Acdemie Frncie
More informationState space systems analysis (continued) Stability. A. Definitions A system is said to be Asymptotically Stable (AS) when it satisfies
Stte spce systems nlysis (continued) Stbility A. Definitions A system is sid to be Asymptoticlly Stble (AS) when it stisfies ut () = 0, t > 0 lim xt () 0. t A system is AS if nd only if the impulse response
More informationWELCOME TO THE LECTURE
WELCOME TO THE LECTURE ON DC MOTOR Force on conductor If conductor is plced in mgnetic field nd current is llowed to flow through the conductor, the conductor will experience mechnicl force. N S Electric
More informationUniversity of Southampton Research Repository eprints Soton
Univerity of Southmpton Reerch Repoitory eprint Soton Copyright nd Morl Right for thi thei re retined by the uthor nd/or other copyright owner. A copy cn be downloded for peronl non-commercil reerch or
More informationSealed tuned liquid column dampers: a cost effective solution for vibration damping of large arch hangers
Seled tuned liquid column dmper: cot effective olution for vibrtion dmping of lrge rch hnger W. De Corte, C. Deleie nd Ph. Vn Bogert Ghent Univerity, Deprtment of Civil Engineering, Ghent, Belgium ABSTRACT:
More informationLECTURE 23 SYNCHRONOUS MACHINES (3)
ECE 330 POWER CIRCUITS AND ELECTROMECHANICS LECTURE 3 SYNCHRONOUS MACHINES (3) Acknowledgent-Thee hndout nd lecture note given in cl re bed on teril fro Prof. Peter Suer ECE 330 lecture note. Soe lide
More informationMath 2142 Homework 2 Solutions. Problem 1. Prove the following formulas for Laplace transforms for s > 0. a s 2 + a 2 L{cos at} = e st.
Mth 2142 Homework 2 Solution Problem 1. Prove the following formul for Lplce trnform for >. L{1} = 1 L{t} = 1 2 L{in t} = 2 + 2 L{co t} = 2 + 2 Solution. For the firt Lplce trnform, we need to clculte:
More informationCalculate the efficiency associated with one rotation of the axle
We cn clculte the efficiency of one rottion of the xle by exining the work one. k Mx Your Rie: Workheet hi ctivity will tke you through the tep neee to optiize the work ue in your ouetrp cr. ollow thi
More informationThe momentum of a body of constant mass m moving with velocity u is, by definition, equal to the product of mass and velocity, that is
Newtons Lws 1 Newton s Lws There re three lws which ber Newton s nme nd they re the fundmentls lws upon which the study of dynmics is bsed. The lws re set of sttements tht we believe to be true in most
More informationChap8 - Freq 1. Frequency Response
Chp8 - Freq Frequecy Repoe Chp8 - Freq Aged Prelimirie Firt order ytem Frequecy repoe Low-p filter Secod order ytem Clicl olutio Frequecy repoe Higher order ytem Chp8 - Freq 3 Frequecy repoe Stedy-tte
More informationMATH , Calculus 2, Fall 2018
MATH 36-2, 36-3 Clculus 2, Fll 28 The FUNdmentl Theorem of Clculus Sections 5.4 nd 5.5 This worksheet focuses on the most importnt theorem in clculus. In fct, the Fundmentl Theorem of Clculus (FTC is rgubly
More informationELG3150 DGD 6 P9.5; P9.7; P9.13; P9.18; AP9.5; DP9.2
ELG3150 DGD 6 P9.5; P9.7; P9.13; P9.18; AP9.5; DP9.2 P9.5 A speed cntrl fr gsline engine is shwn in Figure P9.5 in the textbk. () Determine the necessry gin if the stedy-stte speed errr is required t be
More information4-4 E-field Calculations using Coulomb s Law
1/11/5 ection_4_4_e-field_clcultion_uing_coulomb_lw_empty.doc 1/1 4-4 E-field Clcultion uing Coulomb Lw Reding Aignment: pp. 9-98 Specificlly: 1. HO: The Uniform, Infinite Line Chrge. HO: The Uniform Dik
More informationSolutions Problem Set 2. Problem (a) Let M denote the DFA constructed by swapping the accept and non-accepting state in M.
Solution Prolem Set 2 Prolem.4 () Let M denote the DFA contructed y wpping the ccept nd non-ccepting tte in M. For ny tring w B, w will e ccepted y M, tht i, fter conuming the tring w, M will e in n ccepting
More informationModeling in the Frequency Domain
T W O Modeling in the Frequency Domain SOLUTIONS TO CASE STUDIES CHALLENGES Antenna Control: Tranfer Function Finding each tranfer function: Pot: V i θ i 0 π ; Pre-Amp: V p V i K; Power Amp: E a V p 50
More informationLec 3: Power System Components
Lec 3: Power System Components Dr. Mlbik Bsu 8/0/2009 Lesson pln 3 nd L.O. Sequence nlysis exmple ( detil fult nlysis next sem) Trnsformer model recp, tp chnge nd phse chnge, 3-phse Modeling of Synchronous
More informationPHYS Summer Professor Caillault Homework Solutions. Chapter 2
PHYS 1111 - Summer 2007 - Professor Cillult Homework Solutions Chpter 2 5. Picture the Problem: The runner moves long the ovl trck. Strtegy: The distnce is the totl length of trvel, nd the displcement
More informationMechanical Systems Part A: State-Space Systems Lecture AL10. State estimation Compensator design
: 46-4 Mechnicl Stem Prt : Stte-Spce Stem ectre Stte etimtion ompentor deign combintion of control l nd etimtor eprtion principle Stte etimtion We re ble to plce the P rbitrril b feeding bck ll the tte:
More informationAPPLIED THERMODYNAMICS TUTORIAL 6 AIR-VAPOUR MIXTURES
APPLIED THERMODYNAMICS TUTORIAL 6 AIR-APOUR MIXTURES In thi tutoril you will do the following. Revie the UNIERSAL GAS LAW Lern DALTONS LAW OF PARTIAL PRESSURES Aly thee lw to mixture of wter vour nd ir.
More information4/3, 4/2 and 3/2 directional valve with wet-pin AC or DC solenoid
01/0 /3, / nd 3/ directionl vlve with wet-pin AC or DC solenoid Type WE...L7X.11 Size (NG) Up to 315 br Up to 0 L/min Contents Function nd configurtions Specifictions Symbols 03 Technicl dt 03 Electric
More informationStability Improvement of AC System by Controllability of the HVDC
Vol:9, No:3, 5 Stbility Improvement of AC Sytem by Controllbility of the HVDC Omid Borzjni, Alirez Rjbi, Mojtb Seedimoghdm, Khodkht Ipour Interntionl Science Index, Electricl nd Computer Engineering Vol:9,
More informationDIRECT CURRENT CIRCUITS
DRECT CURRENT CUTS ELECTRC POWER Consider the circuit shown in the Figure where bttery is connected to resistor R. A positive chrge dq will gin potentil energy s it moves from point to point b through
More informationENERGY CONVERSION IN A FLUID POWER SYSTEM. Preview GRC. mechanical friction. File name GA: FLOW GENERATING GROUP. traen_eng GRC: CONTROL GROUP
PRIME MOVER (electric motor, IC engine) ENERGY CONVERSION IN FLUID POWER SYSTEM P P mech mech (exended) P P (useful) hydr hydr rotary shaft G M, Q, Q, M, F, v P W GRC P W GU oil ies oil ies rotary shafts,
More information4/2- and 4/3- Way Safety/Isolation Valve Model Z4 WEH 10 (Series 4X)
Function s n emergency on off isoltion vlve or on off isoltion/ypss vlve, primrly pplied with servo/proportionl systems Free flow through ports P nd T in ll pilot vlve positions Pilot operted y D 03, spool
More informationApproximation of continuous-time systems with discrete-time systems
Approximtion of continuou-time ytem with icrete-time ytem he continuou-time ytem re replce by icrete-time ytem even for the proceing of continuou-time ignl.. Impule invrince metho 2. Step invrince metho
More informationChapter 2 Organizing and Summarizing Data. Chapter 3 Numerically Summarizing Data. Chapter 4 Describing the Relation between Two Variables
Copyright 013 Peron Eduction, Inc. Tble nd Formul for Sullivn, Sttitic: Informed Deciion Uing Dt 013 Peron Eduction, Inc Chpter Orgnizing nd Summrizing Dt Reltive frequency = frequency um of ll frequencie
More informationProblem Set 3 Solutions
Chemistry 36 Dr Jen M Stndrd Problem Set 3 Solutions 1 Verify for the prticle in one-dimensionl box by explicit integrtion tht the wvefunction ψ ( x) π x is normlized To verify tht ψ ( x) is normlized,
More informationCross-section section of DC motor. How does a DC Motor work? 2 Commutator Bars N X. DC Motors 26.1
DC Motors 26.1 How does DC Motor work? Crosssection section of DC motor Mgnetic field vector, B oft Iron Core (otor) Wire length vector, dl Force vector, df Current, i Permnent Mgnet (ttor) Crosssection
More informationJURONG JUNIOR COLLEGE
JURONG JUNIOR COLLEGE 2010 JC1 H1 8866 hysics utoril : Dynmics Lerning Outcomes Sub-topic utoril Questions Newton's lws of motion 1 1 st Lw, b, e f 2 nd Lw, including drwing FBDs nd solving problems by
More informationTHE IMPORTANCE OF INCLUDING ELASTIC PROPERTY OF PENSTOCK IN THE EVALUATION OF STABILITY OF HYDROPOWEWR PLANTS
6 th IAHR Interntionl Meeting of the Workgroup on Cvittion nd Dynmic Problems in Hydrulic Mchinery nd Systems, September 9-, 05, jubljn, Sloveni THE IMPORTANCE OF INCUDING EASTIC PROPERTY OF PENSTOCK IN
More informationApplications of Bernoulli s theorem. Lecture - 7
Applictions of Bernoulli s theorem Lecture - 7 Prcticl Applictions of Bernoulli s Theorem The Bernoulli eqution cn be pplied to gret mny situtions not just the pipe flow we hve been considering up to now.
More informationPractical exercise 7. Surge tank
Prcticl exercise 7. Surge tnk Introduction Surge tnk is used t hydro power plnts for reduction of wter hmmer tht occurs t closing of the turbine inlet vlve. In this exercise we will mesure mss osciltions
More informationFlow in porous media
Red: Ch 2. nd 2.2 PART 4 Flow in porous medi Drcy s lw Imgine point (A) in column of wter (figure below); the point hs following chrcteristics: () elevtion z (2) pressure p (3) velocity v (4) density ρ
More informationLow-order simultaneous stabilization of linear bicycle models at different forward speeds
203 Americn Control Conference (ACC) Whington, DC, USA, June 7-9, 203 Low-order imultneou tbiliztion of liner bicycle model t different forwrd peed A. N. Gündeş nd A. Nnngud 2 Abtrct Liner model of bicycle
More informationSIMULATION OF TRANSIENT EQUILIBRIUM DECAY USING ANALOGUE CIRCUIT
Bjop ol. o. Decemer 008 Byero Journl of Pure nd Applied Science, ():70 75 Received: Octoer, 008 Accepted: Decemer, 008 SIMULATIO OF TRASIET EQUILIBRIUM DECAY USIG AALOGUE CIRCUIT *Adullhi,.., Ango U.S.
More informationIn the diagram below, the rotation continues until N-S alignment, resulting in lock-up that is, if nothing is done to prevent it.
25-1 DC motors DC motors re importnt in mny pplictions. In portble pplictions using bttery power, DC motors re nturl choice. DC mchines re lso used in pplictions where high strting torque nd ccurte speed
More information(See Notes on Spontaneous Emission)
ECE 240 for Cvity from ECE 240 (See Notes on ) Quntum Rdition in ECE 240 Lsers - Fll 2017 Lecture 11 1 Free Spce ECE 240 for Cvity from Quntum Rdition in The electromgnetic mode density in free spce is
More informationFirst Law of Thermodynamics. Control Mass (Closed System) Conservation of Mass. Conservation of Energy
First w of hermodynmics Reding Problems 3-3-7 3-0, 3-5, 3-05 5-5- 5-8, 5-5, 5-9, 5-37, 5-0, 5-, 5-63, 5-7, 5-8, 5-09 6-6-5 6-, 6-5, 6-60, 6-80, 6-9, 6-, 6-68, 6-73 Control Mss (Closed System) In this section
More informationMULTI-DISCIPLINARY SYSTEM DESIGN OPTIMIZATION OF THE F-350 REAR SUSPENSION *
AIAA-00-xxxx MULTI-DISCIPLINARY SYSTEM DESIGN OPTIMIZATION OF THE F-350 REAR SUSPENSION * Jcob Wronki Mter of Science Cndidte Deprtment of Mechnicl Engineering MIT CADlb J. Michel Gry Mter of Science Cndidte
More informationSolution Manual. for. Fracture Mechanics. C.T. Sun and Z.-H. Jin
Solution Mnul for Frcture Mechnics by C.T. Sun nd Z.-H. Jin Chpter rob.: ) 4 No lod is crried by rt nd rt 4. There is no strin energy stored in them. Constnt Force Boundry Condition The totl strin energy
More informationElectrical Drive 4 th Class
University Of Technology Electricl nd Electronics Deprtment Dr Nofl ohmmed Ther Al Kyt A drive consist of three min prts : prime mover; energy trnsmitting device nd ctul pprtus (lod), hich perform the
More informationPilot Operated Pressure Relief Valves with 2 or 3 Pressure Ratings Type DB 3U, Series 5X
ilot Operted ressure Relief Vlves with or ressure Rtings ype D U, Series RE 6/.9 RE 6/.9 Sizes,, Up to r Up to 6 L/min Replces: Specil fetures: Suplte mounting Mounting to DIN form E, Connection pltes
More informationA MEASUREMENT ASSURANCE PROGRAM FOR CALIBRATION BY THE STATIC WEIGH METHOD CS5000
A EAUREENT AURANCE PROGRA FOR CALIBRATION BY THE TATIC WEIGH ETHOD C5000 JI HITCHAN AND TEVE NGUYEN, NOVEBER. 3, 05 Thi document outline the eurement Aurnce Progrm (AP) for eetric C5000 flo meurement ytem
More informationFlexible Beam. Objectives
Flexile Bem Ojectives The ojective of this l is to lern out the chllenges posed y resonnces in feedck systems. An intuitive understnding will e gined through the mnul control of flexile em resemling lrge
More informationBME 207 Introduction to Biomechanics Spring 2018
April 6, 28 UNIVERSITY O RHODE ISAND Deprtment of Electricl, Computer nd Biomedicl Engineering BME 27 Introduction to Biomechnics Spring 28 Homework 8 Prolem 14.6 in the textook. In ddition to prts -e,
More informationAccelerator Physics. G. A. Krafft Jefferson Lab Old Dominion University Lecture 5
Accelertor Phyic G. A. Krfft Jefferon L Old Dominion Univerity Lecture 5 ODU Accelertor Phyic Spring 15 Inhomogeneou Hill Eqution Fundmentl trnvere eqution of motion in prticle ccelertor for mll devition
More informationSPACE VECTOR PULSE- WIDTH-MODULATED (SV-PWM) INVERTERS
CHAPTER 7 SPACE VECTOR PULSE- WIDTH-MODULATED (SV-PWM) INVERTERS 7-1 INTRODUCTION In Chpter 5, we briefly icue current-regulte PWM inverter uing current-hyterei control, in which the witching frequency
More informationME311 Machine Design
ME11 Mchine Design Lecture 10: Springs (Chpter 17) W Dornfeld 9Nov018 Firfield University School of Engineering A Free Body Digrm of coil spring (cutting through nywhere on the coil) shows tht there must
More informationChapter #3 EEE Subsea Control and Communication Systems
EEE 87 Chter #3 EEE 87 Sube Cotrol d Commuictio Sytem Cloed loo ytem Stedy tte error PID cotrol Other cotroller Chter 3 /3 EEE 87 Itroductio The geerl form for CL ytem: C R ', where ' c ' H or Oe Loo (OL)
More informationELE B7 Power System Engineering. Unbalanced Fault Analysis
Power System Engineering Unblnced Fult Anlysis Anlysis of Unblnced Systems Except for the blnced three-phse fult, fults result in n unblnced system. The most common types of fults re single lineground
More informationHigh Steady-State Accuracy Pneumatic Servo Positioning System with PVA/PV Control and Friction Compensation
Plee cite thi finl verion: Ning, S. nd Bone, G. M., "High Sted-Stte Accurc Pneumtic Servo Poitioning Stem with PVA/PV Control nd Friction Comention", Proceeding of the IEEE Interntionl Conference on Rootic
More informationProportional spool valve NG4 ISO
Q mx = l/min 3 volume flow levels Q N mx = l/min p mx = 3 r NG ISO 1- DESCRIION Direct operted proportionl spool vlve with connections in -chmer system. recise spool fit, low lekge, long service life time.
More informationChapter 5 Bending Moments and Shear Force Diagrams for Beams
Chpter 5 ending Moments nd Sher Force Digrms for ems n ddition to illy loded brs/rods (e.g. truss) nd torsionl shfts, the structurl members my eperience some lods perpendiculr to the is of the bem nd will
More informationu( t) + K 2 ( ) = 1 t > 0 Analyzing Damped Oscillations Problem (Meador, example 2-18, pp 44-48): Determine the equation of the following graph.
nlyzing Dmped Oscilltions Prolem (Medor, exmple 2-18, pp 44-48): Determine the eqution of the following grph. The eqution is ssumed to e of the following form f ( t) = K 1 u( t) + K 2 e!"t sin (#t + $
More informationJonathan Mugan. July 15, 2013
Jonthn Mugn July 15, 2013 Imgine rt in Skinner box. The rt cn see screen of imges, nd dot in the lower-right corner determines if there will be shock. Bottom-up methods my not find this dot, but top-down
More information- 5 - TEST 2. This test is on the final sections of this session's syllabus and. should be attempted by all students.
- 5 - TEST 2 This test is on the finl sections of this session's syllbus nd should be ttempted by ll students. Anything written here will not be mrked. - 6 - QUESTION 1 [Mrks 22] A thin non-conducting
More informationJackson 2.26 Homework Problem Solution Dr. Christopher S. Baird University of Massachusetts Lowell
Jckson 2.26 Homework Problem Solution Dr. Christopher S. Bird University of Msschusetts Lowell PROBLEM: The two-dimensionl region, ρ, φ β, is bounded by conducting surfces t φ =, ρ =, nd φ = β held t zero
More informationWhen a force f(t) is applied to a mass in a system, we recall that Newton s law says that. f(t) = ma = m d dt v,
Impulse Functions In mny ppliction problems, n externl force f(t) is pplied over very short period of time. For exmple, if mss in spring nd dshpot system is struck by hmmer, the ppliction of the force
More informationEvaluation of Allowable Hold Loading of, Hold No. 1 with Cargo Hold No. 1 Flooded, for Existing Bulk Carriers
(997) (Rev. 997) (Rev.2 ept. 2000) (Rev.3 July 2004) Evlution of Allowble Hold Loding of Crgo, Hold No. with Crgo Hold No. Flooded, for Existing Bulk Crriers. - Appliction nd definitions These requirements
More informationStudy Guide Final Exam. Part A: Kinetic Theory, First Law of Thermodynamics, Heat Engines
Msschusetts Institute of Technology Deprtment of Physics 8.0T Fll 004 Study Guide Finl Exm The finl exm will consist of two sections. Section : multiple choice concept questions. There my be few concept
More information13.4 Work done by Constant Forces
13.4 Work done by Constnt Forces We will begin our discussion of the concept of work by nlyzing the motion of n object in one dimension cted on by constnt forces. Let s consider the following exmple: push
More informationDesigning Information Devices and Systems I Spring 2018 Homework 8
EECS 16A Designing Informtion Devices nd Systems I Spring 2018 Homework 8 This homework is due Mrch 19, 2018, t 23:59. Self-grdes re due Mrch 22, 2018, t 23:59. Sumission Formt Your homework sumission
More informationThin and Thick Cylinders and Spheres
CHAPTR 8 Thin nd Thick Cylinders nd Spheres Prolem. A shell.5 m long nd m dimeter, is sujected to n internl pressure of. N/mm. If the thickness of the shell is 0 mm find the circumferentil nd longitudinl
More informationResearch on the Optimal Sensor Placement of Vehicle Control System Based on Bode Sensitivity Function
enor & Trnducer 4 by IF Publihing. L. http://www.enorportl.com Reerch on the Optiml enor Plcement of Vehicle ontrol ytem Bed on Bode enitivity Function hunqing Yu Hongjie heng Hongqing HouQin Mio Xi n
More informationElectrical Machines. 1. Transformers 800 V. As the slope is uniform the induced voltage is a square wave. 01. Ans: (b) Sol: 400/200 V 50 Hz
lectricl Mchine. Trnformer 0. An: (b) Sol: 400/00 50 Hz B mx. T 800, 50 Hz liner dimenion ll double B mx? l l b b A l b A 4A B 800 B 400. mx B mx mx 4A A A A f f. B mx. T 4 0. An: (c) 40 Sol: b c.m 40
More informationFreely propagating jet
Freely propgting jet Introduction Gseous rectnts re frequently introduced into combustion chmbers s jets. Chemicl, therml nd flow processes tht re tking plce in the jets re so complex tht nlyticl description
More information1) Actual pressure drop required for each metering land, up to the specified maximum flow rate is: Q ΔP actual. ) 2 PSI; (Q in GPM) actual Q rated
tlog HY14-255/US echnicl Informtion Generl escription proportionl directionl control vlves re high performnce, two stge pilot operted solenoid vlves with electronic spool position feedck, nd on-ord integrted
More information4/3 and 4/2 Proportional directional valve elements with flow sharing control (LUDV concept)
R 181-9/1.1 Replces: 1.11 1/1 / nd / Proportionl directionl vlve elements with flow shring control (LUDV concept) L88... (EDC-P) PTENT PENDING Summry Description Pge Generl specifictions 1 Ordering detils
More information8. INVERSE Z-TRANSFORM
8. INVERSE Z-TRANSFORM The proce by whch Z-trnform of tme ere, nmely X(), returned to the tme domn clled the nvere Z-trnform. The nvere Z-trnform defned by: Computer tudy Z X M-fle trn.m ued to fnd nvere
More informationBellman Optimality Equation for V*
Bellmn Optimlity Eqution for V* The vlue of stte under n optiml policy must equl the expected return for the best ction from tht stte: V (s) mx Q (s,) A(s) mx A(s) mx A(s) Er t 1 V (s t 1 ) s t s, t s
More informationPOLYPHASE CIRCUITS. Introduction:
POLYPHASE CIRCUITS Introduction: Three-phse systems re commonly used in genertion, trnsmission nd distribution of electric power. Power in three-phse system is constnt rther thn pulsting nd three-phse
More information1.2. Linear Variable Coefficient Equations. y + b "! = a y + b " Remark: The case b = 0 and a non-constant can be solved with the same idea as above.
1 12 Liner Vrible Coefficient Equtions Section Objective(s): Review: Constnt Coefficient Equtions Solving Vrible Coefficient Equtions The Integrting Fctor Method The Bernoulli Eqution 121 Review: Constnt
More information