噪声与振动控制2016，Vol.36Issue(4)：14-20,7.DOI:10.3969/j.issn.1006-1335.2016.04.003
正交各向异性功能梯度材料平板振动分析
Vibration Analysis of Orthotropic Functionally Graded Plates
摘要
Abstract
Based on the first order shear deformation theory (FSDT), free and forced vibrations of orthotropic functionally graded material (FGM) plates with simply supported boundary conditions are analyzed. Utilizing the principle of shear strain energy and assuming that the shear stress distribution has the parabola form across the plate thickness, the shear correction coefficient of the orthotropic FGM plate is obtained. The dynamic equations of the plate are deduced by the principle of virtual displacement and solved by the Navier’s double Fourier series method. The present method is verified by finite element solutions. On this basis, the free and forced vibration characteristics of the plates with three different functional gradient types indicated by P-, S-and C-FGM respectively, are obtained and analyzed. These different functional gradients across the thickness of the plate are realized by different fibre-to-matrix volume ratios. The results show that the effects of gradient type and gradient exponent on FGM plates’vibration characteristics are more obvious when the volume fraction of the fibre varies in a larger range. The gradient exponent has little effect when the volume fraction of the fibre is antisymmetrically distributed (indicated by S-FGM) across the plate thickness.关键词
振动与波/功能梯度材料/一阶剪切理论/剪切修正系数Key words
vibration and wave/functionally graded material/first order shear deformation theory (FSDT)/shear correction coefficient分类
数理科学引用本文复制引用
徐坤,陈美霞,谢坤..正交各向异性功能梯度材料平板振动分析[J].噪声与振动控制,2016,36(4):14-20,7.基金项目
国家自然科学基金资助项目 （）
