Rigid body dynamics of mechanisms
著者
書誌事項
Rigid body dynamics of mechanisms
（Engineering online library）
Springer, c2002-c2003
- v. 1
- v. 2
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注記
Includes bibliographical references and index
収録内容
- v. 1. Theoretical basis
- v. 2. Applications
内容説明・目次
- 巻冊次
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v. 2 ISBN 9783540022374
内容説明
Intended for self-study, this second volume presents a systematic approach for deriving model equations of planar and spatial mechanisms. The necessary theoretical foundations have been laid in the first volume. The focus is on the application of the modeling methodology to various examples of rigid-body mechanisms, simple planar ones as well as more challenging spatial problems. A rich variety of joint models, active constraints, as well as active and passive force elements is treated. The book is intended for self-study by working engineers and students concerned with the control of mechanical systems, i.e. robotics, mechatronics, vehicles, and machine tools. Its examples can be used as models for university lectures.
目次
1. Introduction.- 2. Model equations in symbolic DAE and DE form.- 3. Planar models of an unconstrained rigid body.- 4. Planar models of a rigid body under absolute constraints.- 5. Planar models of two rigid bodies under constrained motion.- 6. Spatial models of an unconstrained rigid body.- 7. Spatial models of a rigid body under constrained motion.- 8. Spatial mechanisms with several rigid bodies.- A. Appendix.- A.1 Alternative representation of the spring and damper forces of Section 3.2.- A.2 Auxiliary computations and results associated with the mechanism of Section 8.3.- A.2.1 Explicit form of the constraint equations of the massless links.- A.2.2 Coefficients of the kinematics of the electrical drives.- A.2.3 Computation of the transformation matrix of the forces of the electrical drives.- A.3 Auxiliary computations associated with the example of Section 8.4.- A.3.2 Auxiliary computations used in Section 8.4.9.- References.- List of Figures.
- 巻冊次
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v. 1 ISBN 9783540423737
内容説明
This monograph presents an introduction into basic mechanical aspects of mechatronic systems for students, researchers and engineers from industrial practice. An overview over the theoretical background of rigid body mechanics is given as well as a systematic approach for deriving and solving model equations of general rigid body mechanisms in the form of differential-algebraic equations (DAE). The objective of this book is to prepare the reader for being capable of efficiently handling and applying general purpose rigid body programs to complex mechanisms. The reader will be able to set up symbolic mathematical models of planar and spatial mechanisms in DAE-form for computer simulations, often required in dynamic analysis and in control design.
目次
1. Introduction.- 2. Planar and spatial vectors, matrices, and vector functions.- 3. Constraint equations and constraint reaction forces of mechanisms.- 4. Dynamics of planar and spatial rigid-body systems.- 5. Model equations of planar and spatial joints.- 6. Constitutive relations of planar and spatial external forces and torques.- A. Appendix.- A.1 Special vector and matrix operations used in mechanics.- A.1.1 Euclidean vector space.- A.1.2 Scalar product and cross product of planar vectors.- A.1.3 Cross product of spatial vectors.- A.1.4 Time derivatives of planar orientation matrices and of planar vectors in different frames.- A.1.5 Time derivatives of spatial orientation matrices and of spatial vectors in different frames.- A.1.6 Derivatives of vector functions.- A.2.1 Kinetic energy of an unconstrained rigid body.- A.2.3 Spatial equations of motion of a constrained rigid body.- A.4 Constraint equations of a general universal joint.- A.4.1 Notation and abbreviations.- A.4.2 Computation of constraint equations.- A.4.2.1 First constraint equation.- A.4.2.2 Second constraint equation.- A.4.2.3 Third constraint equation.- A.4.2.4 Fourth constraint equation.- A.4.3 Computation of the shortest distance between two rotation axes.- References.- List of figures.
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