两邻边铰支两邻边固支矩形板的几何非线性分析

Nonlinear Bending of Rectangular Plates With Two Adjacent Edges Simply Supported And The Two Other Adjacent Edges Clamped

本文运用双重Fourier级数分析了受横向均布载荷作用下两邻边铰支两邻边固支的矩形板的非线性弯曲问题.利用该级数的正交性,可以把非线性偏微分控制方程化为含级数系数的非线性代数方程组并通过迭代解出所有系数.最后给出了位移和应力的电算结果.

Basel on double Fourier series,the nonlinear bending is analysed for an isotropic rectangular plate with two adjacent edges simply supported and the two other adjacent edges clamped under constant laterally distribaled load. Using orthogohality relation of Fourier series, we reduce governing nonlinear partial differential equations to an infinite set of system of nonlinear algebraic equations containing Fourier coffieients. Numerical results of central deflection, bending stress and membrans stress are obtained by iterative computing methed.