Webbläsaren som du använder stöds inte av denna webbplats. Alla versioner av Internet Explorer stöds inte längre, av oss eller Microsoft (läs mer här: * https://www.microsoft.com/en-us/microsoft-365/windows/end-of-ie-support).

Var god och använd en modern webbläsare för att ta del av denna webbplats, som t.ex. nyaste versioner av Edge, Chrome, Firefox eller Safari osv.

On the equations of motion in multibody dynamics

In English

Författare

Summary, in English

The equations of motion for a multibody system are derived from a continuum mechanical point of view. This will allow for the presence of rigid, as well as deformable, parts in the multibody system. The approach, using the principle of virtual power, leads to the classical Lagrange equations of motion. The generalized forces appearing in the equations are given as expressions involving contact, internal and body forces in the sense of continuum mechanics. A detailed analysis of the interaction between parts and their implication for the equations of motion is presented. Transformation properties, covariance and invariance under changes of configuration coordinates, are elucidated and a power theorem for the multibody system is proved. The equivalence between the standard balance equations for momentum and moment of momentum and the principle of virtual power is demonstrated.

Avdelning/ar

Publiceringsår

2012

Språk

Engelska

Sidor

165-205

Publikation/Tidskrift/Serie

Mathematics and Mechanics of Solids

Volym

17

Issue

2

Dokumenttyp

Artikel i tidskrift

Förlag

SAGE Publications

Ämne

  • Applied Mechanics

Nyckelord

  • multibody dynamics
  • mechanical interactions
  • equations of motion

Status

Published

ISBN/ISSN/Övrigt

  • ISSN: 1741-3028