Two extremum theorems applicable to stability analyses of a mechanical system (Q1064092)
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scientific article; zbMATH DE number 3919889
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Two extremum theorems applicable to stability analyses of a mechanical system |
scientific article; zbMATH DE number 3919889 |
Statements
Two extremum theorems applicable to stability analyses of a mechanical system (English)
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1985
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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 of freedom is given.
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deflection of a rigid rod
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extremum theorem
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rod-spring-system
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extremum function
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total potential
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0.88132614
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0.87907505
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0.8744607
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