高层框架和框剪结构动力分析的二维样条综合离散法

本文将框剪结构划分为若干个子域,采用双向单样条函数对每个子域进行二维综合,分析结构的动力特性。采用连续一离散模型,使分析模型更准确地描述结构的特征。由于为三次B样条克服了梁振型函数使悬臂子域固端剪力恒为零的缺点。所建立的刚度矩阵和质量矩阵均为对称带状矩阵。本法与有限元法、框元法及有限条方法相比,有较大的优点,主要优点在于易于编制计算程序,节省内存,输入亦很简单。因此可在小型机或微机上解决较复为杂的工程实际问题,具有一定的实用价值。

TWO—DIMENSIONAL SPLINE SYNTHETIC DISCRETE METHOD FOR DYNAMIA ANALYSIS OF FRAMES AND FRAMED SHEARWALL STRUCTURES

In this paper,we divide shear-wall structure into several subdomains, then synthetize each subdomain by using two-dimensional single spline functions, Therefere the dynamic characteristics of structure can be obtained easily. It adopts analysis model of continuum-discrete in order to reflect real properties of structures. Due to using cubic B-spline for interpola tion,it overcomes difficulties for treatment of clamped boundary shear condition, The stiffness matrix and mass matrix shown in the paper are band matrices, and coupling problem do not exist at all. The methed proposed in the paper has great advantages over the finire element method, the framed methed and the finire strip method, that is, it is easy to edit computer programmes, saves the numbel of storage and is simple to input data. It can solve complex engineering problem in microcompurers or tmall computers, Calculation shows that it is a powerful and economical method.