Periodic oscillations of a class of non-autonomous non-linear elastic continua
โ Scribed by C.E. McQueary; L.G. Clark
- Publisher
- Elsevier Science
- Year
- 1967
- Tongue
- English
- Weight
- 561 KB
- Volume
- 2
- Category
- Article
- ISSN
- 0020-7462
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๐ SIMILAR VOLUMES
Some existence theorems are obtained by the least action principle for periodic solutions of nonautonomous second-order systems with a potential which is the sum of a subconvex function and a subquadratic function.
Based on the KBM method, a new asymptotic method of calculation is presented, and applied to an extremely general non-linear, non-autonomous system with finite large damping under multiple external periodic forces: i.e., Asymptotic solutions for resonance and off-resonance vibrations are obtained.
Autohomous blvanate systems m w&h the non-hear terms are not rnultiphed by a small coefficient are mves@a&d Attention IS restncted to systems for which the real part of the charactenstic values of the locally hneanz4 system 18 small Expressmns for the vanation of the radius of the trajectory III the