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本文提出应用最小二乘边界配点法,按有矩理论分析各种边界条件下的双曲抛物面扁扭壳。本文所导出的扭壳函数φ已能满足整个壳体域内的微分方程;而边界条件采用最小二乘边界配点法得到满足。其矩阵方程的形成比较容易,阶数较低,计算时间较短,能满足壳体内力与位移的精度要求,并便于掌握其变化规律。
This paper proposes the application of the least squares boundary collocation method and analyzes the hyperbolic paraboloid flat and twisted shells under various boundary conditions according to the theory of moments. The twisted shell function φ derived in this paper can satisfy the differential equations in the entire shell domain. The boundary conditions are satisfied by the least square boundary collocation method. The formation of the matrix equations is relatively easy, the order is low, and the calculation time is short. It can meet the accuracy requirements of the internal forces and displacements of the shell, and it is easy to grasp the changing rules.