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

H. M. Lankarani; P. E. Nikravesh

doi:10.1115/DETC1988-0054

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

H. M. Lankarani, P. E. Nikravesh

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

12 Scopus citations

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 language	English (US)
Title of host publication	14th Design Automation Conference
Publisher	American Society of Mechanical Engineers (ASME)
Pages	417-423
Number of pages	7
ISBN (Electronic)	9780791826584
DOIs	https://doi.org/10.1115/DETC1988-0054
State	Published - 1988
Event	ASME 1988 Design Technology Conferences, DETC 1988 - Kissimmee, United States Duration: Sep 25 1988 → Sep 28 1988

Publication series

Name	Proceedings of the ASME Design Engineering Technical Conference

Conference

Conference	ASME 1988 Design Technology Conferences, DETC 1988
Country/Territory	United States
City	Kissimmee
Period	9/25/88 → 9/28/88

ASJC Scopus subject areas

Mechanical Engineering
Computer Graphics and Computer-Aided Design
Computer Science Applications
Modeling and Simulation

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10.1115/DETC1988-0054

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Lankarani, H. M., & Nikravesh, P. E. (1988). Application of the canonical equations of motion in problems of constrained multibody systems with intermittent motion. In 14th Design Automation Conference (pp. 417-423). (Proceedings of the ASME Design Engineering Technical Conference). American Society of Mechanical Engineers (ASME). https://doi.org/10.1115/DETC1988-0054

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

14th Design Automation Conference. American Society of Mechanical Engineers (ASME), 1988. p. 417-423 (Proceedings of the ASME Design Engineering Technical Conference).

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution

Lankarani, HM & Nikravesh, PE 1988, Application of the canonical equations of motion in problems of constrained multibody systems with intermittent motion. in 14th Design Automation Conference. Proceedings of the ASME Design Engineering Technical Conference, American Society of Mechanical Engineers (ASME), pp. 417-423, ASME 1988 Design Technology Conferences, DETC 1988, Kissimmee, United States, 9/25/88. https://doi.org/10.1115/DETC1988-0054

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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.",

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AB - 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.

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

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