Application of the canonical equations of motion in problems of constrained multibody systems with intermittent motion

H. M. Lankarani, Parviz E Nikravesh

Research output: Chapter in Book/Report/Conference proceedingConference contribution

17 Citations (Scopus)

Abstract

For mechanical systems that undergo intermittent motion, the usual formulation of the equations of motion is not valid over the periods of the discontinuity, and a procedure for balancing the momenta of the system is often performed. A canonical form of the equations of motion is used here as the differential equations of motion. A set of momentum balance-impulse equations are derived in terms of the system total momenta by explicitly integrating the canonical equations. The method shows to be stable while numerically integrating the canonical equations, and efficient while solving the momentum balance-impulse equations. Examples are provided to illustrate the validity of the method.

Original languageEnglish (US)
Title of host publicationAmerican Society of Mechanical Engineers, Design Engineering Division (Publication) DE
PublisherPubl by American Soc of Mechanical Engineers (ASME)
Pages417-423
Number of pages7
Volume14
StatePublished - 1988
EventAdvances in Design Automation - 1988 - Kissimmee, FL, USA
Duration: Sep 25 1988Sep 28 1988

Other

OtherAdvances in Design Automation - 1988
CityKissimmee, FL, USA
Period9/25/889/28/88

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Equations of motion
Momentum
Differential equations

ASJC Scopus subject areas

  • Engineering(all)

Cite this

Lankarani, H. M., & Nikravesh, P. E. (1988). Application of the canonical equations of motion in problems of constrained multibody systems with intermittent motion. In American Society of Mechanical Engineers, Design Engineering Division (Publication) DE (Vol. 14, pp. 417-423). Publ by American Soc of Mechanical Engineers (ASME).

Application of the canonical equations of motion in problems of constrained multibody systems with intermittent motion. / Lankarani, H. M.; Nikravesh, Parviz E.

American Society of Mechanical Engineers, Design Engineering Division (Publication) DE. Vol. 14 Publ by American Soc of Mechanical Engineers (ASME), 1988. p. 417-423.

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Lankarani, HM & Nikravesh, PE 1988, Application of the canonical equations of motion in problems of constrained multibody systems with intermittent motion. in American Society of Mechanical Engineers, Design Engineering Division (Publication) DE. vol. 14, Publ by American Soc of Mechanical Engineers (ASME), pp. 417-423, Advances in Design Automation - 1988, Kissimmee, FL, USA, 9/25/88.
Lankarani HM, Nikravesh PE. Application of the canonical equations of motion in problems of constrained multibody systems with intermittent motion. In American Society of Mechanical Engineers, Design Engineering Division (Publication) DE. Vol. 14. Publ by American Soc of Mechanical Engineers (ASME). 1988. p. 417-423
Lankarani, H. M. ; Nikravesh, Parviz E. / Application of the canonical equations of motion in problems of constrained multibody systems with intermittent motion. American Society of Mechanical Engineers, Design Engineering Division (Publication) DE. Vol. 14 Publ by American Soc of Mechanical Engineers (ASME), 1988. pp. 417-423
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