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NON-LINEAR VIBRATION BY A NEW METHOD

✍ Scribed by Xu Ming Tian; Li Jian Feng; Cheng Delin


Publisher
Elsevier Science
Year
1998
Tongue
English
Weight
185 KB
Volume
215
Category
Article
ISSN
0022-460X

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✦ Synopsis


In this paper, a new method is presented for solving the periodic response of a non-linear system. Both period-one and subharmonic responses can be obtained by the method. The stability and bifurcation of the solutions are discussed. Specifically, the period doubling and symmetry-breaking bifurcation are studied in detail.


πŸ“œ SIMILAR VOLUMES


COMMENT ON β€œNON-LINEAR VIBRATION ANALYSI
✍ A.Y.T. LEUNG πŸ“‚ Article πŸ“… 2000 πŸ› Elsevier Science 🌐 English βš– 53 KB

The authors of reference [1] solved the Laplace transformed equation ( 20) below by three consecutive similarity transformations to make the symmetric square matrices M, C and K diagonal for the inverse Laplace transform. The "rst transformation is

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✍ A. Y. T. Leung; T. C. Fung πŸ“‚ Article πŸ“… 1990 πŸ› John Wiley and Sons 🌐 English βš– 854 KB

The dynamic stiffness method is extended to large amplitude free and forced vibrations of frames. When the steady state vibration is concerned, the time variable is replaced by the frequency parameter in the Fourier series sense and the governing partial differential equations are replaced by a set