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首页> 外文期刊>Applied Mathematical Modelling >Free vibration analysis of dowelled rectangular isotropic thin plate on a Modified Vlasov soil type by using discrete singular convolution method
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Free vibration analysis of dowelled rectangular isotropic thin plate on a Modified Vlasov soil type by using discrete singular convolution method

机译：应用离散奇异卷积法分析修正的Vlasov土类型上的矩形矩形各向同性薄板的自由振动

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摘要

The behaviour of plates resting on elastic foundations has wide interest because it is an important model for many engineering applications. Natural frequencies and corresponding mode shapes are guides to investigating the behaviour of a soil-structure system with time. Therefore, free vibration analysis constitutes a considerable part of research done on this topic. In this study, the effects of the stiffness of a surrounding Modified Vlasov soil type, the soil depth, and the aspect ratio on the free vibration of a thin rectangular dowelled plate on the Modified Vlasov soil type are investigated. We used a discrete singular convolution (DSC) with a Taylor series expansion method to apply the boundary conditions. The two formulas of the Taylor series expansion are used in the DSC to eliminate the fictitious points outside the physical domain. It is noticed that beyond a certain depth, neither the effective depth of the soil nor the, frequency varies consistently. Furthermore, the dynamically activated depth influences the frequency values for plates more than for beams. In addition, the effect of the elastic rotational stiffness of the surrounding soil is found to be negligible compared to that of the elastic vertical translational one. The results obtained can serve as a basis for the dynamic analysis of rigid pavements.
机译：搁置在弹性地基上的板的性能引起了广泛的兴趣，因为它是许多工程应用的重要模型。固有频率和相应的模态形状是研究土壤结构系统随时间变化的行为的指南。因此，自由振动分析构成了该主题研究的重要部分。在这项研究中，研究了周围改良的Vlasov土类型的刚度，土壤深度和长宽比对改良的Vlasov土类型的矩形薄板多孔板自由振动的影响。我们使用具有泰勒级数展开方法的离散奇异卷积（DSC）来应用边界条件。在DSC中使用了泰勒级数展开式的两个公式来消除物理域外的虚拟点。值得注意的是，超过一定深度，土壤的有效深度和频率都不会一致地变化。此外，动态激活的深度对板的频率值的影响比对梁的影响更大。另外，与弹性垂直平移相比，周围土壤的弹性旋转刚度的影响被忽略。所得结果可作为动态分析刚性路面的基础。

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