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A generalized Galerkin's method for non-linear oscillators

โœ Scribed by G. Chen

Publisher
Elsevier Science
Year
1987
Tongue
English
Weight
427 KB
Volume
112
Category
Article
ISSN
0022-460X

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โœฆ Synopsis

By allowing for frequency variation in the virtual displacement/co-ordinates, a generalized Galerkin's procedure is developed. This leads to a compact form of Galerkin's conditions, which in turn yield as many algebraic equations as the number of unknown parameters and frequency(ies). The independence of the equations is not guaranteed, but depends on the nature of the oscillators. When they are not independent, the possible "contradiction" serves as a measure of the approximation of the solution. The two well-known non-linear oscillators (Van der Poi's and Duffing's) are used as the basic examples for the application of the method.

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