常弹性双参数基础上具有夹固边界条件的正交各向异性矩形板运动分布质量的动力特性

A. Adeoye, T. Awodola
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引用次数: 1

摘要

-这项工作将研究双参数弹性基础上的正交各向异性矩形板的移动分布质量的行为。控制方程是一个四阶变系数和奇异系数偏微分方程。利用Shadnam等人[18]的技术,将问题的偏微分方程转化为一组耦合的二阶常微分方程,得到问题的解,然后使用改进的Struble渐近方法对其进行简化。对于运动分布质量和运动分布力两种情况,将分析闭合形式解,得到共振条件,并将结果绘制成曲线。
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Dynamic behavior of Moving distributed Masses of Orthotropic Rectangular Plate with Clamped-Clamped Boundary conditions Resting on a Constant Elastic Bi-Parametric Foundation
— This work will investigate the behaviors of Moving distributed masses of orthotropic rectangular plates resting on bi-parametric elastic foundation with clamped-clamped end conditions. The governing equation is a fourth order partial differential equation with variable and singular co-efficients. The solutions to the problem will be obtained by transforming the partial differential equation for the problem to a set of coupled second order ordinary differential equations using the technique of Shadnam et al[18] which shall then be simplified using modified asymptotic method of Struble. The closed form solution will be analyzed, resonance condition shall be obtained and the result will be presented in plotted curves for both cases of moving distributed mass and moving distributed force.
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