An exact three-dimensional elasticity analysis for out-of-plane free vibration of simply-supported rectangular plates on an elastic foundation

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  • 弾性基礎上にある周面単純支持された矩形平板の面外自由振動に関する厳密な三次元弾性解析

Abstract

<p>This paper presents an exact three-dimensional elasticity analysis of out-of-plane free vibration of simply-supported homogeneous, isotropic, rectangular plates on elastic foundations. An exact analysis is based on the three-dimensional, linear, small-strain theory of elasticity. The elastic foundation is described by the Winkler model. The fundamental out-of-plane free vibration characteristics of square plates resting on elastic foundations have been studied in detail, with respect to different thickness-width ratios and non-dimensional foundation parameters. In addition, the present paper proposed an added stiffness coefficient to evaluate the effects of interaction between an elastic foundation and a lower surface of plate.</p>

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