等效惯性矩法分析楔形构件

Method of Equivalent Moment of Inertia Analyzing Tapered Member

对楔形构件的计算,通常采用分段等截面方法,但计算效率和精度不高,因此有必要建立楔形单元的力学模型。本文以工字形楔形梁为例,采用等效惯性矩的方法推导了楔形单元的刚度矩阵和固端反力,实现了有限元基本原理对楔形单元的求解,并进行了程序设计,将此方法应用于钢结构设计软件USSCAD中,通过与国内比较权威的钢结构设计软件3D3S的比较,本文提出的方法有较高的精度,可以满足工程设计的要求。

The method of dividing a tapered element into several elements with uniform section has low efficiency and precision and it is necessary to found the mechanical model for tapered element. This article takes I-shaped tapered beam as an example, takes the method of equivalent moment of inertia to solve the element stiffness matrix and the reaction of fixed-end for tapered element, realizing the solution for tapered element by basal principle of FEM. This method has been used in the general software for steel structure designed by Wuhan University. After the comparison with the software named 3D3S which is authoritative among the domestic software for steel structure, this method has good precision in the solution of tapered members, and it can satisfy the standard of engineering design.