MSC.Marc 2013.1理论手册
MSC.MARC是功能齐全的高级非线性有限元软件，具有极强的结构分析能力。可以处理各种线性和非线性结构分析包括：线性/非线性静力分析、模态分析、简谐响应分析、频谱分析、随机振动分析、动力响应分析、自动的静/动力接触、屈曲/失稳、失效和破坏分析等ContentsMarc Volume A: Theory and User InformationrefaceAbout this manual■■■■20Purpose of volume A20Contents of volume a20How to Use this manual211 The Marc SystemMarc Programs............■■23Marc for Analysis23Mentat or patran for gul24Structure of marc24Procedure Library24Material Library24Element Library25Program Function Library25Features and benefits of marc252 Program InitiationMarc Host Systems27Workspace Requirements27Marc Workspace Requirements27File Units30Program Initiation.........32Examples of running marc Jobs■■■■■344 Marc Volume A: Theory and User Information3 Data EntryInput Conventions38Input of List of Items39Examples of lists41Table Driven Input■■41Table Input42Parameters46Model Definition Options46History Definition Options46REZONE Option474 Introduction to mesh definitionDirect Input49Element Connectivity Data49Nodal coordinate data53Activate/Deactivate54User Subroutine Input54MESH2D54Block definition54Merging of Nodes54Block Types55Symmetry, Weighting, and Constraints57Additional Options58Mentat58FXORD Option59Major classes of the fXoRD Option59Recommendations on Use of the FXORD Option63Incremental mesh generators■■■■■63Bandwidth Optimization64Rezoning.....64Substructure65Technical Background66Scaling Element Stiffness67Contents 5BEAM SECT Parameter■■■68Orientation of the Section in Space68Definition of the section68Error Analysis74ocal AdaptivityNumber of Elements Created7474Boundary Conditions75Location of new nodes76Adaptive Criteria77Automatic Global remeshing80Remeshing criteria84Remeshing TechniquesPatran Tetrahedral mesher885 Structural Procedure LibraryLinear Analysis99Accuracy100Error estimates100Adaptive meshing101Fourier Analysis101Nonlinear Analysis104Geometric nonlinearities108Eulerian FormulationArbitrary Eulerian-Lagrangian(AEL) Formulation118Nonlinear Boundary Conditions118Buckling Analysis120Perturbation Analysis121Computational Procedures for Elastic-Plastic Analysis126Creep138Viscoelasticity142Viscoplasticity143Fracture Mechanics144Linear fracture mechanics144Nonlinear fracture mechanics147Numerical Evaluation of the J-integral148Numerical Evaluation of the Energy Release Rate with the VCCT Method150Automatic Crack PropagationDynamic Fracture Methodology1626 Marc Volume A: Theory and User InformationDynamic crack Propagation..162Crack Initiation163Mesh Splitting165Mesh Splitting Along Edges or Faces165Mesh Cutting167Dynamics...168Modal(Eigenvalue) Analysis.168Harmonic Response172Spectrum Response75Transient Analysis179Inertia relief191Rigid Body Mode Evaluation.191Rigid-Plastic Flow195Steady State Analysis95Transient Analysis196Technical background..196Superplasticity197Soil Analysis199Technical formulation200Mechanical Wear.,,,,,,,,203Design Sensitivity Analysis........■■205Theoretical considerations207Design Optimization208Approximation of Response Functions Over the Design Space..209Improvement of the Approximation211The Optimization algorithmMarc User Interface for Sensitivity Analysis and Optimization212Define Initial State with Results from a Previous Analysis215Pre state215Model sections217Steady State Rolling Analysis219Kinematics219lnetⅰaE仟fect...221Rolling Contact221Steady state rolling with marc221ContentsStructural Zooming Analysis.222Element Types Supported223Uncoupled Thermal Stress Analysis223Cure-Thermal-Mechanically Coupled Analysis224Cure Kinetics225Cure Shrinkage Strain228References,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,2296 Nonstructural Procedure LibraryHeat Transfer234Thermal Contact235Convergence Controls235Steady state Analysis236Transient Analysisemperature Effects238Initial Conditions239Boundary Conditions239Surface Energy243Thermochemical Ablation and Surface Energy Balance244Mathematical Presentation244Mechanical Erosion251Mechanical Erosion by Other Actions251pyrolySis251Coking255Monitoring Thermal Degradation258Presentation of the Energy Equation260Ablation262Welding27Radiation278Conrad Gap292Channel293Output294Diffusion295Technical Background296Hydrodynamic Bearing300Technical Background3028 Marc Volume A: Theory and User InformationElectrostatic Analysis304Technical Background305Magnetostatic Analysis308Technical background..309Magnetodynamic Analysis∴∴320Technical Background322Piezoelectric Analysis325Technical Background326Strain Based Piezoelectric Coupling..328Acoustic Analysis328Rigid Cavity Acoustic Analysis328Technical Background329Fluid mechanics330Finite element formulation333Penalty Method335Steady State Analysis336Transient Analysis336Solid Analysis336Solution of Coupled Problems in Fluids..336Degrees of Freedom337Element Types.337Coupled Analyses∴..■量■画■■■,,,,,,,,339Thermal Mechanically Coupled Analysis341Coupled Acoustic-Structural AnalysisFluid/Solid Interaction- Added Mass Approach342346Coupled Electrostatic-Structural Analysis348Coupled Magnetostatic-Structural Analysis350Coupled Thermal-Electrical Analysis (Joule Heating)352Coupled Electrical-Thermal-Mechanical Analysis355Coupled Magnetostatic-Thermal Analysis357Coupled Magnetodynamic-Thermal Analysis358Coupled Magnetodynamic-Thermal-Structural Analysis..359References∴,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,,362Contents 97 Material LibraryLinear Elastic Material365Composite Material ......367Layered Materials368Classical Lamination Theory for Multi-Layered Shells371Material Preferred direction372Material Dependent Failure Criteria376Interlaminar Shear for Thick Shell, Beam, Solid shell, and 3-d Composite brick elements394Interlaminar Stresses for continuum composite elements397Progressive Composite Failure397Mixture model399Gasket403Constitutive model403Nonlinear Hypoelastic Material407Thermo-Mechanical Shape Memory Model422Transformation Induced deformation424Constitutive Theory425Phase Transformation strains425Experimental Data Fitting for Thermo-mechanical Shape Memory Alloy427Mechanical Shape Memory Model431Conversion from Thermo-Mechanical to Mechanical SMA oyExperimental Data Fitting for Mechanical Shape Memory alle434435Elastomer436Updated Lagrange formulation for nonlinear elasticity455Time-independent Inelastic Behavior456Yield Conditions458Mohr-Coulomb Material(Hydrostatic Stress Dependence)464Buyukozturk Criterion(Hydrostatic Stress Dependence)465Powder material465Obtaining Crush Curve and Shear Failure Parameters by Curve Fitting in Marc475Work or strain hardening.....,,,479Flow rule485Constitutive Relations486Time-independent Cyclic Plasticity489Time-dependent Inelastic Behavior492Creep(Maxwell Model)翻495Oak Ridge National Laboratory Laws50010 Marc Volume A: Theory and User InformationSwelling.501Viscoplasticity502Time-dependent Cyclic Plasticity502Anand solder model504Viscoelastic Material505Bergstrom-Boyce Model516Narayanaswamy Model518Frequency-dependent Material Behavior522Viscoelastic Material Behavior in the Frequency Domain522Thermo-Rheologically Simple Material Behavior in the Frequency Domain538Deformation Dependent Relaxation in the Frequency Domain539Harmonic Equations of motion541Performing viscoelastic Analysis in the Frequency Domain543Temperature Effects and Coefficient of Thermal Expansion,546Piecewise Linear Representation547Temperature-Dependent Creep548Coefficient of Thermal Expansion549Time-Temperature-Transformation549Low Tension Material552Uniaxial Cracking Data552LoW Tension Cracking552Tension Softening552Crack Closure553Crushing553Analysis554Soil model554Elastic Models554Cam-Clay Model555Evaluation of soil parameters for the critical state soil model557Damage Models565Ductile metals565Elastomers568Cohesive Zone Modeling570Nonstructural materials578Heat transfer analysis579Piezoelectric Analysis579Thermo-Electrical Analysis579Coupled Electrical-Thermal-Mechanical Analysis579Hydrodynamic Bearing AnalysisFluid/ Solid Interaction Analysis- Added Mass approach579.579
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Observers in Control Systems
详细介绍了状态观测器及其在控制系统中的应用。Observers inControl SystemsA Practical guideGeorge ellisDanaher corporation4ACADEMIC PRESSAn imprint of elsevier ScienceAmsterdam Boston London New York Oxford ParisSan Diego San Francisco Singapore Sydney TokyoThis book is printed on acid-free paper ooCopyright 2002, Elsevier Science (USA)All rightsNo part of this publication may be reproduced or transmitted in any form or by anymeans, electronic or mechanical, including photocopy, recording, or any informationstorage and retrieval system, without permission in writing from the publisher. Requestsfor permission to make copies of any part of the work should be mailed to thefollowing address: Permissions Department, Harcourt, Inc, 6277 Sea Harbor DriveOrlando. Florida. 32887-6777.ACADEMIC PRESSAn imprint of Elsevier Science525 B Street, Suite 1900, San Diego, CA 92101-4495, USAhttp://www.academicpress.comAcademic pr84 Theobalds Road. London WCIX 8RR. UKhttp://www.academicpress.comLibrary of congress control Number: 2002104256International Standard book Number: 0-12-237472-XPrinted in the United States of america020304050607MB987654321TO Lee Ann, my loving wife, and our daughter Gretchen, who makes us both proud.Observers in Control Systems■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■Acknowledgments■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■Safety■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■1 Control Systems and the role of observers■■■■■■■■■■■■■■■■1.1 Overviewaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa1.2 Preview of observers21.3 Summary of the book2 Control-System Background52.1 Control-System Structures52.2 Goals of control systems132.3 Visual Model Simulation Environment2. 4 Software Experiments: Introduction to Visual ModelQ182.5 Exercises393 Review of the Frequency Domain.■■■■■■■■■■■■■■■■■■■■■■■■■■■■■3. 1 Overview of the s-domain413.2 Overview of the z-Domain543.3 The Open-Loop Method593.4 A Zone-Based Tuning Procedure623.5 Exercises664 The Luenberger observer: Correcting SensorProblems674. 1 What Is a luenberger observer?674.2 Experiments 4A-4C: Enhancing Stability with an Observer724.3 Predictor-Corrector Form of the Luenberger Observer774. 4 Filter Form of the luenberger observer. ..................................784.5 Designing a Luenberger observer824.6 Introduction to Tuning an observer compensator9047 Exercises955 The Luenberger Observer and Model Inaccuracy... 975.1 Model Inaccuracy.........….……,975.2 Effects of Model Inaccuracy .............................................1005.3 Experimental Evaluation1025.4 Exercises1146 The Luenberger observer and disturbances1156.1 Disturbances1156.2 Disturbance Response1236.3 Disturbance DecouplingIB..-.81296.4 Exercises1387 Noise in the Luenberger Observer…,,,…,,…,…,1417.1 Noise in Control Systems1417.2 Sensor noise and the luenberger observer1457.3 Noise Sensitivity when Using Disturbance Decoupling1567. 4 Reducing Noise Susceptibility in Observer-Based Systems1617.5 Exercises1708 Using the Luenberger Observer in Motion Control1738.1 The Luenberger observers in motion Systems1738.2 Observing Velocity to Reduce Phase Lag1858.3 Using observers to Improve Disturbance Response..... 2028.4 Exercises212Referencesn213A Observer-Based resolver conversion in industrialServo Systems1■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■■217B Cures for mechanical resonance in IndustrialServo Systems227Introductionaaa日aaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaaa日aaaaa.aaaaaaaaaaaaaaa日aa227TWo-Part Transfer function228LOW-Frequency Resonance229Velocity Control Law…...8....230Methods of Correction Applied to Low-Frequency Resonance231Conc| usion.…235Acknowledgments235References235C European Symbols for Block Diagrams237Part Linear functions237Part l: nonlinear functions238D Development of the bilinear transformation241Bilinear Transformation241Prewarning242Factoring polynomials243Phase Advancing………………………,243Solutions toChapter 2245Chapter 3245Chapter 4246Chapter 5重口m口m246Chapter 6247Chapter7.….B..8..8..8...248Chapter 8249Index251AcknowledgmentsWriting a book is a large task and requires support from numerous people, and thosepeople deserve thanks. First, I thank LeeAnn, my devoted wife of more than 20 yearsShe has been an unflagging fan, a counselor, and a demanding editor. She taught memuch of what I have managed to learn about how to express a thought in ink. Thanksto my mother who was sure I would grow into someone in whom she would be proudwhen facts should have dissuaded her Thanks also to my father for his insistence thatI obtain a college education; that privilege was denied to him, an intelligent man borninto a family of modest meansI am grateful for the education provided by Virginia Tech Go Hokies. The basicsof electrical engineering imparted to me over my years at school allowed me to graspthe concepts I apply regularly today. I am grateful to Mr. Emory Pace, a toughprofessor who led me through numerous calculus courses and, in doing so, gaveme the confidence on which I would rely throughout my college career and beyondI am especially grateful to Dr Charles Nunnally; having arrived at university froma successful career in industry, he provided my earliest exposure to the practicalapplication of the material I strove to learn. I also thank Dr robert lorenz of theUniversity of Wisconsin at Madison, who introduced me to observers some years agoHis instruction has been enlightening and practical. Several of his university coursesare available in video format and are recommended for those who would like toextend their knowledge of controls. In particular, readers should consider ME 746which presents observers and numerous other subjectsI thank those who reviewed the manuscript for this book. Special thanks goes toDan Carlson for his contributions to almost every chapter contained herein Thanksalso to Eric Berg for his numerous insights. Thanks to the people of KollmorgenCorporation(now, Danaher Corporation), my long-time employer, for their continuing support in writing this book. Finally, thanks to Academic Press, especially to JoelClaypool, my editor, for the opportunity to write this edition and for editing, printing, distributing, and performing the myriad other tasks required to publish a bookX1
- 2020-12-11下载
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