Karman型四边夹紧正交异性矩形薄板的中等大挠度  

Moderate Large Deflection of Karman-type Orthotropic Rectangular Plates With Four Edges Clamped

作　　者：杨加明[1] 吴丽娟[1] 况森保[1] 刘桂英[1] 

机构地区：[1]南昌航空工业学院应用工程系,南昌330034

出　　处：《强度与环境》2001年第4期38-43,共6页Structure & Environment Engineering

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。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.

关 键 词：四边夹紧 正交各向异性 几何非线性 Karman矩形薄板 挠度 梁振型函数 

分 类 号：TB301[一般工业技术—材料科学与工程]