(1 西安建筑科技大学土木工程学院，西安710055； 2 西安建筑科技大学理学院，西安710055；3 中国飞机强度研究所，西安710065)

［摘要］通过能量法和Hamilton原理分别建立了缀条式和缀板式组合压杆在纵向周期荷载作用下的动力偏微分方程，利用Galerkin方法将其转化为二阶常微分Mathieu型参数振动方程，求得周期解所包围的动力不稳定区域，探讨了两种组合压杆发生参数振动的动力稳定性问题，分析了杆件长细比、缀条面积、缀板刚度等参数对组合压杆动力稳定性的影响，为结构工程动力分析与设计提供参考依据。

［关键词］参数振动；动力稳定性；组合压杆；周期荷载

中图分类号：TU311.2文献标识码：A文章编号：1002-848X(2011)02-0068-03

Dynamic stability of compressed built-up members subject to periodic load

Zhao Hongjin¹, Liu Chao^1，2, Dong Ningjuan³

(1 School of Civil Engineering, Xian University of Architecture & Technology, Xian 710055, China;

2 School of Science, Xian University of Architecture & Technology, Xian 710055, China;

3 Aircraft Strength Research Institute of China, Xian 710065, China)

Abstract:Through the energy method and Hamilton principle, parametric vibration equations of sewed bar and sewed slab compressed built-up members subject to periodic load were established respectively. Galerkins method was used to convert the partial differential equations into the ordinary differential Mathieu equations and dynamic instability regions surrounded by periodic solutions were obtained. Dynamic stability problems of parametric vibration were discussed about two kinds of compressed built-up members. The influences of slenderness ratio, area of sewed bars and stiffness of sewed slabs on the dynamic stabilites of axial compression lattice column were discussed, which can provide references for dynamic analysis and design in structure engineering.

Keywords:parametric vibration; dynamic stability; compressed built-up member; periodic load

作者简介：赵洪金，博士研究生，Email:zhq-2005@163.com。

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