Rigid Body Dynamics of Mechanisms: 1 Theoretical Basis / Edition 1

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Overview

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.

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Editorial Reviews

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"The present book is a very important and useful introduction of mechanical aspects of mechatronic systems. This book is very useful for undergraduate students of mechanical engineering, control engineering, civil engineering, electrical engineering, mathematics and physics. This book is also very useful for practicing engineers since with this book they have the opportunity of a systematic choice of notation, of an algebraic formulation of all the expressions, of a possibility of direct implementation in a computer and finally of an application … ." (T. E. Simos, Journal of Computational Methods in Sciences and Engineering, Vol. 3 (1), 2003)

"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 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 mechanics … ." (European Journal of Mechanical and Environmental Engineering, Vol. 47 (2), 2002)

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Product Details

  • ISBN-13: 9783642076176
  • Publisher: Springer Berlin Heidelberg
  • Publication date: 12/7/2010
  • Edition description: Softcover reprint of hardcover 1st ed. 2002
  • Edition number: 1
  • Pages: 336
  • Product dimensions: 0.74 (w) x 9.21 (h) x 6.14 (d)

Table of Contents

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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