0
Research Papers

The Impulsive Action Integral for Rigid-Body Mechanical Systems With Impacts

[+] Author and Article Information
Kerim Yunt1

P.O. Box 1070, Zurich, Switzerland 8021kerimyunt@web.de

1

Address all correspondence related to ASME style format and figures to this author.

J. Comput. Nonlinear Dynam 7(3), 031012 (Apr 06, 2012) (9 pages) doi:10.1115/1.4006562 History: Received September 29, 2011; Revised March 19, 2012; Online April 06, 2012; Published April 30, 2012

There is a missing link in analytical mechanics which shows that general impactive processes are obtained by extremizing some sort of action integral for which momentum and energy are not necessarily conserved. In this work, the conditions under which general nonconserving impacts become a part of an extremizing solution for mechanical systems, which are scleronomic (not explicitly time depending) and holonomic, are investigated. The stationarity conditions of an impulsive action integral are investigated and the main theorem is proven. The general momentum balance and the total energy change over a collisional impact for a mechanical scleronomic holonomic finite-dimensional Lagrangian system are obtained in the form of stationarity conditions of a modified action integral under a regularity condition on the impactive transition sets.

FIGURES IN THIS ARTICLE
<>
Copyright © 2012 by American Society of Mechanical Engineers
Your Session has timed out. Please sign back in to continue.

References

Figures

Grahic Jump Location
Figure 1

General contact kinematics

Grahic Jump Location
Figure 2

General decomposition of boundary variations at an internal boundary with a constraint

Grahic Jump Location
Figure 3

The subdifferential of a Lipschitz function f at its minimum

Tables

Errata

Discussions

Some tools below are only available to our subscribers or users with an online account.

Related Content

Customize your page view by dragging and repositioning the boxes below.

Related Journal Articles
Related eBook Content
Topic Collections

Sorry! You do not have access to this content. For assistance or to subscribe, please contact us:

  • TELEPHONE: 1-800-843-2763 (Toll-free in the USA)
  • EMAIL: asmedigitalcollection@asme.org
Sign In