【摘要】 利用 Galerkin方法分析了 Von- Karman型四边夹紧正交各向异性矩形板。所设的位移函数为梁振型函数 ,它不仅能精确地满足边界条件 ,而且具有正交的特性 ,从而把复杂的非齐次非线性偏微分方程组化为一组非线性代数方程组 ,通过非线性方程组的线性化和可调节参数的修正迭代解法找出问题的解。实践证明 ,梁振型函数收敛很快 ,只须取出级数的前几项即可满足精度要求。最后求出了不同复合材料的挠度和应力值并同已有的结果进行了比较更多还原

【Abstract】 In the paper,Von Karman type orthotropic redtangular plates are analyzed with four clamped edges by using Galerkin method.The beam vibration functions are taken as displacement functions that may accurately satisfy the boundary conditions,and have orthogonality property.We transfer governing nonlinear partial differential equations to an infinite set of system of nonlinear algebraic equations containing Fourier coefficients which have been solved by linearizing iterative procedures.The series of beam vibration functions are rapidly converged.Only a few prior terms of the series may meet the need of accuracy.Numerical results of deflection and stress are obtained for different composite materials.更多还原