Intelligent Systems, Control and Automation: Science and Engineering

Elastic Multibody Dynamics

A Direct Ritz Approach

Authors: Bremer, Hartmut

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  • Unified view on methods in dynamics
  • Straight-on generic procedure for rigid and elastic multibody systems
  • Clearly structured mathematical representation
  • Easy physical insight and interpretation
  • Simple algorithms for direct computer use
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Hardcover $199.99
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About this book

This textbook is an introduction to and exploration of a number of core topics in the field of applied mechanics:

On the basis of Lagrange's Principle, a Central Equation of Dynamics is presented which yields a unified view on existing methods. From these, the Projection Equation is selected for the derivation of the motion equations of holonomic and of non-holonomic systems.

The method is applied to rigid multibody systems where the rigid body is defined such that, by relaxation of the rigidity constraints, one can directly proceed to elastic bodies. A decomposition into subsystems leads to a minimal representation and to a recursive representation, respectively, of the equations of motion.

Applied to elastic multibody systems one obtains, along with the use of spatial operators,

a straight-on procedure for the interconnected partial and ordinary differential equations and the corresponding boundary conditions. The spatial operators are eventually applied to a RITZ series for approximation. The resulting equations then appear in the same structure as in rigid multibody systems.

The main emphasis is laid on methodical as well as on (graduate level) educational aspects. The text is accompanied by a large number of examples and applications, e.g., from rotor dynamics and robotics. The mathematical prerequisites are subsumed in a short excursion into stability and control.

Reviews

From the reviews:

"This textbook is an introduction to and exploration of a number of core topics in the field of applied mechanics. The book consists of introduction, eight chapters and references. … The book can be used by mechanical engineers, scientists and graduate students." (Irina Alexandrovna Bolgrabskaya, Zentralblatt MATH, Vol. 1147, 2008)


Table of contents (8 chapters)

Table of contents (8 chapters)

Buy this book

eBook $109.00
price for USA in USD
  • ISBN 978-1-4020-8680-9
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $199.99
price for USA in USD
  • ISBN 978-1-4020-8679-3
  • Free shipping for individuals worldwide
  • Institutional customers should get in touch with their account manager
  • Covid-19 shipping restrictions
  • Usually ready to be dispatched within 3 to 5 business days, if in stock
Softcover $139.99
price for USA in USD
  • ISBN 978-90-481-7950-3
  • Free shipping for individuals worldwide
  • Institutional customers should get in touch with their account manager
  • Covid-19 shipping restrictions
  • Usually ready to be dispatched within 3 to 5 business days, if in stock
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Bibliographic Information

Bibliographic Information
Book Title
Elastic Multibody Dynamics
Book Subtitle
A Direct Ritz Approach
Authors
Series Title
Intelligent Systems, Control and Automation: Science and Engineering
Series Volume
35
Copyright
2008
Publisher
Springer Netherlands
Copyright Holder
Springer Science+Business Media B.V.
eBook ISBN
978-1-4020-8680-9
DOI
10.1007/978-1-4020-8680-9
Hardcover ISBN
978-1-4020-8679-3
Softcover ISBN
978-90-481-7950-3
Series ISSN
2213-8986
Edition Number
1
Number of Pages
X, 452
Topics