【摘要】 为研究样条有限点法在多跨连续梁结构分析中的应用,依据梁的跨度和刚度变化把连续梁划分为若干梁段子域,子域内采用均匀的样条结点离散,把子域端部的真实位移和样条结点的广义位移参数作为基本未知量,三次B样条基函数作为位移插值函数,根据总势能泛函及变分原理建立子域的刚度方程。按照子域自由度编码装配结构的刚度方程,建立了连续梁分析的样条有限点法计算格式,并设计了相应的程序流程。该方法适用于不同约束情况及荷载条件下的连续梁计算,典型算例的结果表明该方法的有效性。更多还原

【Abstract】 In order to study the application of spline finite point method in analyzing multi-span continuous beams,basing on the changes of span and section stiffness,a continuous beam was divided into several beam subdomains. Each subdomain was uniformly discretized by spline nodes. The cubic B-spline function was used as the interpolation function,and the actual displacements of the end nodes and the generalized parameters of the others were treated as the fundamental variables. According to the total potential energy variational principle,the subdomain stiffness equations were established,and the global stiffness equation of the structure was assembled according to the freedom code of the subdomains. The calculated format of spline finite point method to analyze continuous beams was established,and subsequently,the corresponding computing program flow was designed.The method is suitable for the calculation of continuous beams under various constraints and loading conditions. The results calculated by the proposed method were compared with the analytical solutions,and the validity and reliability of the spline finite point method were verified.更多还原