高层框架和框剪结构动力分析的样条子域法

Spline-subdomain Method for Analysis of Vibration of Tall Frames and Frame-Shear Wall Structures

摘要: 本文把框剪结构划分为若干个子域。框架部分折算为等效连续体,用三次B样条函数作为位移函数分析其动力特性。所建立的刚度矩阵和质量矩阵均为对称正定带状矩阵。便于编制计算机程序并节省内存,输入很简单。可在小型或微型机上计算较为复杂的问题,而且精度较高。

Abstract: A Spline-subdomain method for analysis of vibration of tall frames and frame-shear wall structures is proposed in this paper, based on idealizing the frames as an anisotropic continuous wall, subdivising the structure into a certain number of subdomains and taking cubic spline function as the displacement function. The stiffness and mass matrics obtained are positively determined symmetrical banding matrics, which are mode-decoupled.