Highly accurate closed-form solutions for the free in-plane vibration of rectangular plates with arbitrary homogeneous boundary conditions

In this paper, highly accurate closed-form solutions for the free in-plane vibration of rectangular isotropic plates with arbitrary homogeneous boundary conditions are achieved by an iterative separation-of-variable method, and all solutions are presented in an elegant explicit form. For plates with...

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Veröffentlicht in:	Journal of sound and vibration 2020-03, Vol.470, p.115166, Article 115166
Hauptverfasser:	Wang, Zekun, Xing, Yufeng, Sun, Qiaozhen
Format:	Artikel
Sprache:	eng
Schlagworte:	Arbitrary homogeneous boundary conditions Boundary conditions Closed form solutions Eigenvalues Exact solutions Finite element analysis Finite element method Free in-plane vibration Iterative methods Mathematical models Numerical methods Partial differential equations Rectangular plates Separation Vibration
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