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本文提出分析高层建筑结构的样条子结构法,根据抗侧力体系的布置,把高层结构划分成几个子结构,采用样条级数与三角级数来描述子结构的位移场,在变分原理的基础上形成子结构刚度矩阵,考虑各子结构间的位移协调与边界条件,建立结构的总体刚度矩阵。与有限元及有限条法相比,具有精度高,计算量小,程序易编制等特点,且对各种类型的高层建筑结构均可适用。实例计算表明,本文方法精度能满足工程设计的要求。
This paper proposes a method to analyze the spline substructure method of high-rise building structure. According to the arrangement of anti-lateral force system, the high-rise structure is divided into several substructures. The displacement field of the substructure is described by the spline series and trigonometric series. Based on the principle, a substructure stiffness matrix is formed, and the overall stiffness matrix of the structure is established by considering the displacement coordination and boundary conditions among the substructures. Compared with the finite element method and the finite strip method, it has features such as high accuracy, small amount of calculation, and easy programming, and can be applied to various types of high-rise building structures. The example calculation shows that the accuracy of this method can meet the requirements of engineering design.