摘要
在讨论不对称结构屈曲模态正交分解技术的基础上,以变截面梁柱为例,介绍二阶分析的一种简捷方法。这种新思路、新方法拓展了Timoshenko放大系数的概念,从变截面梁柱的曲率着手,建立线性方程组,求解得到一组相互正交的屈曲模态,再把一阶初始变形分解为与屈曲模态同形的一组变形。然后,分别乘以自身的放大系数,再线性叠加,得到二阶总变形。虽然计算过程中所取的挠曲线为近似曲线,但实际上已满足了工程应用的精度要求。
In this paper, based on the discussion of orthogonal decomposition method for the buckling mode of unsymmetrical structure, taking the variable-section beam-column as an example, a simple and direct method of the second order analysis is presented. In the new method, the conception of enlargement coefficient brought forward by Timoshenko is developed. To begin with the curvature of the variable-section beam-column, the linear equations are set up. With their solution, a group of orthogonal buckling mode can be obtained. The primary deflection can be decomposed to a group of homomorphic deflection similar to buckling mode. Then, the group of deflection is multiplied by corresponding enlargement coefficient and plus the result, finally, the second-order total deflection can be obtained.
出处
《重庆建筑大学学报》
CSCD
2004年第2期36-40,共5页
Journal of Chongqing Jianzhu University
