Stability of the equilibrium of a mechanical system with unilateral constraints

G. M. Vinner*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review

Abstract

The stability is studied of equilibrium positions of mechanical systems with a unilateral constraint. The theorem of instability is proved for the case where the absence of a local minimum of potential energy can be determined from a simplified potential. The results apply to equilibria of the first and second kinds. For the first time a complete and strict proof of the Kelvin theorem is obtained.

Original languageAmerican English
Pages (from-to)31-36
Number of pages6
JournalMoscow University Mechanics Bulletin
Volume44
Issue number4
StatePublished - 1989

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