Abstract
An exact spectral-dynamic stiffness method (S-DSM) for free vibration analysis of composite plates and plate assemblies has been proposed in Part I of this two-part paper. The main purpose of this Part II paper is twofold: (i) To validate and demonstrate the superiority of the proposed S-DSM and (ii) To establish exact benchmark solutions for free vibration of composite plate-like structures. The S-DSM is applied to a number of problems covering orthotropic composite plates and plate assemblies. It is demonstrated that the S-DSM gives exact solutions with high computational efficiency within low as well as high frequency ranges. The applications are completely general and the new development can handle complex plate shapes with any boundary conditions.
Highlights
In Part I of this two-part paper [1], a novel method called the spectral-dynamic stiffness method (S-DSM) has been developed for exact free flexural vibration analysis of composite plate-like structures
Note that because the problem of solving for the natural frequencies of a fully clamped plate has been resolved, the current S-DSM is completely independent of the number of elements used in the analysis which is in a sharp contrast to most of the previous DSM developments for plate or shell assemblies especially within high frequency range
The comprehensive set of results obtained by the S-DSM are compared and contrasted with different other methods wherever possible, e.g., exact solution, finite element method, analytical methods like superposition method, Ritz method and etc
Summary
In Part I of this two-part paper [1], a novel method called the spectral-dynamic stiffness method (S-DSM) has been developed for exact free flexural vibration analysis of composite plate-like structures. The main aim of this paper, which is basically a result paper, is to illustrate the benefits of the S-DSM in free vibration analysis of composite plate-like structures. The S-DSM gives highly accurate results very efficiently by using a relatively small number of terms in the series expansion. This is due to the completeness as well as the strong orthogonality of the series applied. It is shown that the exact and high efficiency features of S-DSM apply in the low frequency range and in the medium to high frequency ranges
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