高层建筑结构分析的样条单元法

Spline Element Method for Tall Building Analysis

本文针对高层建筑结构的特点，提出一种能广泛适用于高层建筑结构分析的样条单元法。在考虑单元的分片样条插值时，适当地选择纵向与横向样条插值函数的次数，从而有效地减少了计算自由度。与传统的有限条法相比，本文的样条单元能够很方便地处理具有不规则开洞与边界条件的结构形式。剪力墙与筒体结构的计算实例表明，这种单元具有优越的静动力性能。

A kind of spline element which can be widely used in the analysis of tall building structures is proposed in this paper. In the interpolation scheme of the element, the orders of spline functions in both horizontal and vertical directions have been properly chosen,so that the computational work may be reduced effectively. In comparison with the conventional finite strip method, the spline element presented in this paper can be used to analyze those tall buildings with irregular openings as well as with arbitrary configurations. The numerical examples show that the spline element possesses very good static and dynamic behavior, and satisfactory results can be obtained with only few elements.