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Solid Mechanics and Its Applications

IUTAM Symposium on Unilateral Multibody Contacts

Proceedings of the IUTAM Symposium held in Munich, Germany, August 3–7, 1998

Editors: Pfeiffer, F., Glocker, Ch. (Eds.)

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About this book

Multibody dynamics started with the ideas of Jacob and Daniel Bernoul­ li and later on with d'Alembert's principle. In establishing a solution for the problem of the center of oscillation for a two-mass-pendulum Jacob Ber­ noulli spoke about balancing the profit-and-Ioss account with respect to the motion of the two masses. Daniel Bernoulli extended these ideas to a chain pendulum and called forces not contributing to the motion "lost forces", thus being already very close to d'Alembert's principle. D'Alembert considered a "system of bodies, which are interconnected in some arbitrary way. " He suggested separating the motion into two parts, one moving, the other being at rest. In modern terms, or at least in terms being applied in engineering mechanics, this means that the forces acting on a system of bodies are split into active and passive forces. Active forces generate motion, passive forces do not; they are a result of constraints. This interpretation of d'Alembert's principle is due to Lagrange and up to now has been the basis of multi body dynamics (D' Alembert, Traite de Dynamique, 1743; Lagrange, Mecanique Analytique, 1811). Thus, multibody dynamics started in France. During the nineteenth century there were few activities in the multi body field even though industry offered plenty of possible applications and famous re­ presentatives of mechanics were aware of the problems related to multibody dynamics. Poisson in his "Traite de Mecanique" (Paris 1833) gave an im­ pressive description of these problems, including impacts and friction.

Table of contents (31 chapters)

  • Some Basics of Unilateral Dynamics

    Moreau, J. J.

    Pages 1-14

  • Decomposition of Scalar Force Interactions

    Glocker, Ch.

    Pages 15-24

  • On The Well-Posedness of Painlevé’s Example

    Génot, F. (et al.)

    Pages 25-34

  • Moreau’s Rule and The Penalty Method

    Paoli, L. (et al.)

    Pages 35-44

  • Formulations and Solution Methods of The Dynamical Spatial Contact Problem

    Wösle, M. (et al.)

    Pages 45-56

Buy this book

eBook $189.00
price for USA (gross)
  • ISBN 978-94-011-4275-5
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $249.00
price for USA
  • ISBN 978-0-7923-6030-8
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $249.00
price for USA
  • ISBN 978-94-010-5853-7
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
IUTAM Symposium on Unilateral Multibody Contacts
Book Subtitle
Proceedings of the IUTAM Symposium held in Munich, Germany, August 3–7, 1998
Editors
  • F. Pfeiffer
  • Ch. Glocker
Series Title
Solid Mechanics and Its Applications
Series Volume
72
Copyright
1999
Publisher
Springer Netherlands
Copyright Holder
Springer Science+Business Media Dordrecht
eBook ISBN
978-94-011-4275-5
DOI
10.1007/978-94-011-4275-5
Hardcover ISBN
978-0-7923-6030-8
Softcover ISBN
978-94-010-5853-7
Series ISSN
0925-0042
Edition Number
1
Number of Pages
XVII, 334
Topics