Use of the higher order method of multiple scales with reconstitution to determine the periodic steady state response of harmonically excited non-linear oscillators is considered. The well known primary resonance in the Duffing oscillator is considered as a prototype example. Second order mutliple-s
β¦ LIBER β¦
Fast galerkin method and its application to determine periodic solutions of non-linear oscillators
β Scribed by F.H. Ling; X.X. Wu
- Publisher
- Elsevier Science
- Year
- 1987
- Tongue
- English
- Weight
- 708 KB
- Volume
- 22
- Category
- Article
- ISSN
- 0020-7462
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In a previous series of papers (Benamar 1990 Ph.D. ΒΉhesis, ;niversity of Southampton; Benamar et al. 1991 Journal of Sound and <ibration 149, 179}195; 164, 399}424 [1}3]) a general model based on Hamilton's principle and spectral analysis has been developed for non-linear free vibrations occurring a