利用微分求积法分析静态圆柱板

传统的空间状态法较难分析边界条件为一对边简支而另一对边任意约束的圆柱板。为此,本文利用微分求积法建立该边界条件的三维静态圆柱板的控制微分方程,推导出任意离散点的状态方程,进而求解出不同边界条件的位移和应力。最后,通过数值计算分析验证了该方法的可行性。

Analysis of Static Cylindrical Panel by Using Differential Quadrature Method

The three-dimensional solution for static analysis of cross-ply cylindrical panel is presented by using dif-ferential quadrature method and Fourier series approach. The panel is assumed to be simply-supported at one pair of opposite edges and arbitrary conditions at the other pair. Applying the DQM to the governing differential equa-tions and to the boundary conditions along the axial or circumferential directions,new state equations on state varia-bles at discrete points are derived. Displacement and stress fields according to the various kinds of edges conditions are obtained by solving these state equations. The method is validated by comparing numerical results for the sim-ply-supported edges with that available in the literature.