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本文应用V·Panc~[1]的分量理论和能量变分原理作为分析基础,引入梁振动函数乘积和的形式来表达板的振型,建立了适于某些正交各向异性中厚板(H=(D_xD_y)~1/2·(G_(xz)/G_(yz))/((D_x)~(1/2))/((D_y)~(1/2))的振动微分方程,以及相应的边界条件:求得了便于工程中应用的正交各向异性中厚板的固有频率计算公式,以及振型计算公式。通过退化为各同性的四边简支、四边固支、两邻边简支、另二邻边固支的中厚板在若干种高跨比下固有频率的计算,且与有关文献中计算结果的比较,说明本文的计算结果可以满足工程中的要求。 相似文献
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1 基本方程在法向均布载荷q(t)作用下的浅球壳如图1所示.壳上任一点的坐标由中曲面的地理坐标((?),θ)及沿中曲面外法线方向的坐标z 确定.u,v,w 分别为沿(?),θ,z 方向的位移;ψ_1,ψ_2分别为球壳横截面在(?)-z 和θ-z 面内的转角;ρ_0为单位体积的质量,且ρ= 相似文献
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In this paper, the nonlinear equations of motion for shallow spherical shells with axisymmetric deformation including transverse shear are derived. The nonlinear static and dynamic response and dynamic buckling of shallow spherical shells with circular hole on elastically restrained edge are investigated. By using the orthogonal point collocation method for space and Newmark-β scheme for time, the displacement functions are separated and the nonlinear differential equations are replaced by linear algebraic equations to seek solutions. The numerical results are presented for different cases and compared with available data. 相似文献
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