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本文采用三次B样条作为插值函数,并根据板、壳势能变分原理对下程常用、规则区域的板壳问题(板的弯曲问题,板的平面应力问题和薄壳结构按有矩理论的内力与位移分析问题)建立了总体刚度矩阵并给出了系数矩阵的显式表达式。与通常有限元相比较,具有精度高、计算量少,程序易于编制等显著特点。板壳问题可以统一处理,应用甚为简便。通过实例计算,这个方法的计算精度能满足工程设计要求。
In this paper, the cubic B-spline is used as the interpolation function, and the shell and shell problems in the common and regular areas of the lower range are solved by the cubic B-spline interpolation method. The plate bending problem, plate plane stress problem and thin shell structure according to the theory of moments Internal Force and Displacement Analysis Problem) An overall stiffness matrix is established and an explicit expression of the coefficient matrix is given. Compared with the usual finite element, it has such prominent features as high accuracy, less calculation, and easy programming. Plate shell problems can be dealt with in a unified manner and application is very simple. By example calculations, the calculation accuracy of this method can meet the engineering design requirements.