弹性地基上含孔隙功能梯度材料板的自由振动和动力响应

为研究弹性地基上含孔隙的材料特性沿厚度呈Sigmoid函数变化的功能梯度材料(S-FGM)板的振动特性,本文基于改进的Voigt模型,分别建立了孔隙为均匀分布和非均匀分布两种类型的功能梯度材料的物性参数模型.根据复合材料薄板理论导出了弹性地基上含孔隙的功能梯度材料板的运动方程,用伽辽金法寻求四边简支边界条件下板自由振动...

Free vibration and dynamic response of porous functionally graded plates on elastic foundation

This paper focuses on the vibrational characteristics of porpous sigmoid functionally graded material(S-FGM) plates on elastic foundations. Based on an improved Voigt model, the effective material properties of the plates with evenly and unevenly distributed porosities are estimated. According to the composite thin plate theory, the equations of motion for the plates on elastic foundations are derived. The analytical solution for the free vibrations and dynamic responses of the simply supported plates are obtained by using Galerkin method. The effects of the pore volume fraction, elastic foundation parameters, and power law index on the natural frequencies and dynamic responses of the plate are investigated. The results show that the influence of pores on the natural frequencies is complicated and which relates to the changes of the pores and foundation parameters. The natural frequency of the plates on elastic foundation rises with the increase of porosity volume fraction. The natural frequencies of S-FGM plates with evenly distributed porosities are higher than those with unevenly distributed porosities. The peak dynamic responses increase as porosity volume fraction rises. Compared with the uneven distribution, the dynamic responses with the even distribution are more sensitive to the change of porosity volume fraction.