Free vibration analysis of mindlin plates on point supports
01 Jan 1998-Journal of Structural and Construction Engineering (transactions of Aij)-Vol. 63, Iss: 512, pp 83-89
About: This article is published in Journal of Structural and Construction Engineering (transactions of Aij).The article was published on 1998-01-01 and is currently open access. It has received 1 citations till now. The article focuses on the topics: Vibration & Point (geometry).
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TL;DR: In this article, the free vibration eigenvalues and mode shapes of rectangular plates with symmetrically distributed point supports are established based on the principle of superposition and it constitutes, in essence, an extension of a technique described earlier for the analysis of completely free plates.
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TL;DR: In this paper, the first known solutions for free flexural vibration of Mindlin plates of arbitrary shape with internal point supports have been presented, based on the use of a set of pb-2 shape functions to account for prescribed boundary conditions of different shapes.
Abstract: This paper presents the first known solutions for free flexural vibration of Mindlin plates of arbitrary shape with internal point supports. A new approach for modeling the point supports in vibration analysis is proposed. The method is based on the use of a set of pb-2 shape functions to account for prescribed boundary conditions of different shapes. Internal point supports are imposed as geometric constraints in the final formulation of the governing eigenvalue equation. The proposed method is employed to determine the vibration frequencies of square and circular plates having an arbitrary number of internal point supports. Comparisons with known thin-plate solutions are carried out, where possible, to verify the accuracy of the proposed method.
26 citations