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Two extremum theorems applicable to stability analyses of a mechanical system

โœ Scribed by R. Parnes

Publisher
Elsevier Science
Year
1985
Tongue
English
Weight
224 KB
Volume
319
Category
Article
ISSN
0016-0032

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โœฆ Synopsis

Two mathematical theorems and their proofs, applicable to stability investigations of mechanical systems, are presented. The theorems permit a determination of the stability of systems undergoing large displacements by means of a defined extremum function and without recourse to a study of higher variations of the total potential. An application to a simple mechanical system with one degree offreedom is given.

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