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Structural Engineering and Mechanics Volume 8, Number 6, December 1999 , pages 547-560 DOI: https://doi.org/10.12989/sem.1999.8.6.547 |
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An asymptotic analysis on non-linear free vibration of squarely-reticulated circular plates |
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Nie GH
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| Abstract | ||
| In this paper an asymptotic iteration method is adopted to analyze non-linear free vibration of reticulated circular plates composed of beam members placed in two orthogonal directions. For the resulting linear ordinary differential equations in the process of iteration, the power series with rapid convergence has been applied to obtain an analytical solution for non-linear characteristic relation between the amplitude and frequency of the structure. Numerical examples are given, and the phenomena indicating hardening of such structures have been presented for the (immovable or movable) simply-supported and clamped circular plates. | ||
| Key Words | ||
| reticulated plates, non-linear, free vibration, asymptotic iteration method | ||
| Address | ||
| Nie GH, Ruhr Univ Bochum, Inst Stat & Dynam, D-44780 Bochum, Germany Tongji Univ, Dept Engn Mech, Shanghai 200092, Peoples R China | ||