动力分析中的有限样条元法及其应用

Finite Spline Element Method in Dynamic Analysis

本文利用三次Ｂ样条函数和Ｈｅｒｍｉｔｅ函数构造了单元位移函数，建立了样条元动力计算格式。由于元外结点的存在，使得离散未知量大大减少，同时扩大了样条函数方法的应用范围。利用样条矩阵处理边界条件，避免了样条函数的线性组合。

This paper derives a set of simple polynomials by the multiplying of cubic spline functions and Hermite functions.The deflection function of a typical element is proposed o Because there are tow among four knots are beyond the element,the total unknows coefficients are greatly reduced. On the other hand,the analysis of element enlarges the scope of applicationof the spline method. As the spline matrix are used to treat the boundary condition,the linear combination of spline functions near the boundary is avoided.