Free Delivery Over $100
|
|
|||
|
||||
OverviewThe book presents innovative methods for the solution of multibody descriptor models. It emphasizes the interdependence of modeling and numerical solution of the arising system of differential-algebraic equations (DAE). Here, it is shown that modifications of non-stiff ODE-solvers are very effective for a large class of multibody systems. In particular, implicit methods are found to dovetail optimally with the linearly implicit structure of the model equations, allowing an inverse dynamics approach for their solution. Furthermore, the book stresses the importance of software development in scientific computing and thus presents a complete example of an interdisciplinary problem solution for an important field of application from technical mechanics. Full Product DetailsAuthor: Reinhold von SchwerinPublisher: Springer-Verlag Berlin and Heidelberg GmbH & Co. KG Imprint: Springer-Verlag Berlin and Heidelberg GmbH & Co. K Edition: Softcover reprint of the original 1st ed. 1999 Volume: 7 Dimensions: Width: 15.50cm , Height: 1.90cm , Length: 23.50cm Weight: 1.140kg ISBN: 9783540656623ISBN 10: 3540656626 Pages: 342 Publication Date: 06 September 1999 Audience: College/higher education , Professional and scholarly , Undergraduate , Postgraduate, Research & Scholarly Format: Paperback Publisher's Status: Active Availability: In Print  This item will be ordered in for you from one of our suppliers. Upon receipt, we will promptly dispatch it out to you. For in store availability, please contact us. Table of Contents0 Introduction 1 Multibody Systems in Technical Mechanics 1.1 Multibody Systems 1.1.1 Topology of MBS 1.1.2 Typical Applications in Technical Mechanics 1.2 Equations of Motion of MBS in Descriptor Form 1.2.1 Types of Constraints 1.2.2 Hamiltons Principle 1.2.3 dAlemberts and Jourdains Principles 1.3 Mathematical Properties of the Descriptor Form 1.3.1 The Index of the Descriptor Form 1.3.2 Approaches for the Numerical Treatment of the Descriptor Form 1.3.3 Consistency 1.3.4 Existence and Uniqueness of Solutions 1.3.5 Structures of the Index 1 Equations 1.4 Practical Aspects of MBS 1.4.1 Non-Smooth Models 1.4.2 Multibody Formalisms 1.5 Advantages of the Descriptor Form 1.5.1 An Example from Engineering 1.5.2 Minimal Model 1.5.3 Descriptor Model 1.6 Choice of coordinates 1.6.1 Relative Coordinates 1.6.2 Reference Point Coordinates 1.6.3 Natural Coordinates 1.6.4 Mixed Coordinates 1.7 Interdependence of Modeling and Simulation 1.7.1 Standard Approach: Forward Dynamics Simulation 1.7.2 A New Approach: Inverse Dynamics Simulation 1.8 A New Technique for Modeling of Universal Joints 1.8.1 A Standard Model for Universal Joints 1.8.2 A New Model for Universal Joints 1.9 Summary of the Properties of MBS 2 Software Engineering in Scientific Computing 2.1 Application Oriented Scientific Software 2.1.1 The Software Crisis 2.1.2 Implications of the Research Factor 2.1.3 Implications of Application Orientedness 2.1.4 Scientific Software Products and Feasibility Engineering 2.2 Complex Systems 2.2.1 Characteristics of Complex Systems 2.2.2 Key Factors for Mastering Complexity 2.2.3 The Meaning of Software Engineering 2.3 Software Quality 2.3.1 Criteria Pertaining to Product Operation 2.3.2 Criteria Pertaining to Product Transition 2.3.3 Criteria Pertaining to Product Revision 2.3.4 Software Quality Assurance 2.4 Programming in the Small 2.4.1 Coding and Design 2.4.2 Testing 2.5 Programming in the Large 2.5.1 The Classic Sequential Life Cycle Model 2.5.2 Prototyping 2.5.3 A Prototyping Oriented Life Cycle Model for Feasibility Engineering 2.6 Summary: Peculiarities of Feasibility Engineering 2.7 Implementation: The Scientific Software MBSSIM 2.7.1 Module Structure of MBSSIM 2.7.2 The User Interface of MBSSIM 3 Mathematical Methods for MBS in Descriptor Form 3.1 Adaptive Adams methods 3.1.1 Basics 3.1.2 Computational Formulae for Adaptive Adams Methods 3.1.3 Solution of the Nonlinear Corrector Systems 3.2 A New Strategy for Controlling Adaptivity 3.2.1 Formulae for Constant Stepsize 3.2.2 Practical Error Estimation 3.2.3 Choosing a New Order 3.2.4 Choosing a New Stepsize 3.3 A Runge-Kutta-Starter for Adaptive Adams Methods 3.3.1 Goals of Construction 3.3.2 Construction of the Runge-Kutta-Starter 3.3.3 Error Estimation and Stepsize Selection 3.3.4 Summary 3.4 A Numerical Comparison 3.5 Inverse Dynamics Integration 3.5.1 A Local Complexity Analysis 3.5.2 Inverse Dynamics: Taking a Global Perspective 3.5.3 Conclusions for Descriptor Models: O(n) methods 3.5.4 Inverse Dynamics Multistep Methods for MBS in Descriptor Form 3.5.5 A Monitoring Strategy for Approximate Jacobians in Corrector Systems 3.6 Exploiting the Optimization Superstructure 3.6.1 The Schur Complement Method 3.6.2 The Range Space Method for Multibody Simulation 3.6.3 Null Space Methods for Multibody Simulation 3.6.4 A Unified View of RSM and NSM 3.6.5 The NSM Based on LQ-Factorization 3.6.6 The NSM Based on LU-Factorization 3.6.7 A Nonsymmetric NSM Based on LU-Factorization 3.6.8 A Comparison of Complexity for Dense Linear Algebra Solvers 3.6.9 A Numerical Comparison of Dense Linear Algebra Solvers 3.7 Topological Solution Algorithms 3.7.1 Graphs of MBS 3.7.2 Solution of Closed Loop Systems 3.7.3 Recursive Solution of the Open Chain System 3.7.4 Ingredients of the Recursion 3.7.5 A Topological Solver Based on NSM 3.7.6 A Numerical Study for the Topological Solver Using IWR-chain 3.8 Projection Methods for Constrained Multibody Systems 3.8.1 The Drift Phenomenon 3.8.2 Exploitation oReviewsAuthor InformationTab Content 6Author Website:Countries AvailableAll regions |
||||
