Rigid Body Dynamics of Mechanisms 1 Theoretical Basis

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...

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Bibliographic Details
Main Author: Hahn, Hubert
Format: eBook
Language:English
Published: Berlin, Heidelberg Springer Berlin Heidelberg 2002, 2002
Edition:1st ed. 2002
Subjects:
Online Access:
Collection: Springer Book Archives -2004 - Collection details see MPG.ReNa
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245 0 0 |a Rigid Body Dynamics of Mechanisms  |h Elektronische Ressource  |b 1 Theoretical Basis  |c by Hubert Hahn 
250 |a 1st ed. 2002 
260 |a Berlin, Heidelberg  |b Springer Berlin Heidelberg  |c 2002, 2002 
300 |a XVII, 336 p  |b online resource 
505 0 |a 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 
653 |a Mechanics, Applied 
653 |a Complex Systems 
653 |a Materials Science 
653 |a Classical Mechanics 
653 |a Computational intelligence 
653 |a Computational Mathematics and Numerical Analysis 
653 |a Mathematics / Data processing 
653 |a Materials science 
653 |a Computational Intelligence 
653 |a System theory 
653 |a Solids 
653 |a Solid Mechanics 
653 |a Mechanics 
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520 |a 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). 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