EQUATIONS OF MOTION FOR CONSTRAINED MECHANICAL SYSTEMS AND THE EXTENDED DALEMBERT PRINCIPLE

Authors
UDWADIA FE KALABA RE EUN HC
Citation
Fe. Udwadia et al., EQUATIONS OF MOTION FOR CONSTRAINED MECHANICAL SYSTEMS AND THE EXTENDED DALEMBERT PRINCIPLE, Quarterly of applied mathematics, 55(2), 1997, pp. 321-331
Citations number
21
Categorie Soggetti
Mathematics,Mathematics
Journal title
Quarterly of applied mathematics → ACNP
ISSN journal
0033569X
Volume
55
Issue
2
Year of publication
1997
Pages
321 - 331
Database
ISI
SICI code
0033-569X(1997)55:2<321:EOMFCM>2.0.ZU;2-L
Abstract
Starting from the principle of virtual work, this paper states and est ablishes an extended version of D'Alembert's Principle. Using this ext ended principle and elementary linear algebra, it develops, from first principles, the explicit equation of motion for constrained mechanica l systems. The results are compared with the authors' previous results . The approach points to new ways of extending these results.