### 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) |
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Title of host publication | American Society of Mechanical Engineers, Design Engineering Division (Publication) DE |

Publisher | Publ by American Soc of Mechanical Engineers (ASME) |

Pages | 417-423 |

Number of pages | 7 |

Volume | 14 |

State | Published - 1988 |

Event | Advances in Design Automation - 1988 - Kissimmee, FL, USA Duration: Sep 25 1988 → Sep 28 1988 |

### Other

Other | Advances in Design Automation - 1988 |
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City | Kissimmee, FL, USA |

Period | 9/25/88 → 9/28/88 |

### Fingerprint

### ASJC Scopus subject areas

- Engineering(all)

### Cite this

*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.

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

*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.

}

TY - GEN

T1 - Application of the canonical equations of motion in problems of constrained multibody systems with intermittent motion

AU - Lankarani, H. M.

AU - Nikravesh, Parviz E

PY - 1988

Y1 - 1988

N2 - 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.

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.

UR - http://www.scopus.com/inward/record.url?scp=0024129637&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=0024129637&partnerID=8YFLogxK

M3 - Conference contribution

VL - 14

SP - 417

EP - 423

BT - American Society of Mechanical Engineers, Design Engineering Division (Publication) DE

PB - Publ by American Soc of Mechanical Engineers (ASME)

ER -