[1]朱军强,黄铭其,高铭尚,等.空间杆系结构动力失稳区域研究[J].西安建筑科技大学学报：自然版,2016,48(01):77-81.[doi:10.15986/j.1006-7930.2016.01.013]
　ZHU Junqiang,HUANG Mingqi,GAO Mingshang,et al.The study on the spatial frames structural dynamic stability region[J].J.Xi’an Univ. of Arch. & Tech.：Natural Science Edi,2016,48(01):77-81.[doi:10.15986/j.1006-7930.2016.01.013]
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空间杆系结构动力失稳区域研究()
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西安建筑科技大学学报：自然版[ISSN:1006-7930/CN:61-1295/TU]

卷:
48
期数:
2016年01期
页码:
77-81
栏目:
出版日期:
2016-02-28

文章信息/Info

Title:
The study on the spatial frames structural dynamic stability region
文章编号:
1006-7930(2016)01-0077-05
作者:
朱军强; 黄铭其; 高铭尚; 徐 妺; 李明哲
西安建筑科技大学土木工程学院，陕西 西安 710055
Author(s):
ZHU Junqiang;  HUANG Mingqi;  GAO Mingshang;  XU Mo;  LI Mingzhe
School of Civil Engineering, Xi′an Univ. of Arch. & Tech., Xi′an 710055, China
关键词:
马奇耶-希拉方程式; 动力失稳区域; 阻尼; 空间杆系结构
Keywords:
Mathieu-Hill equation;  dynamic instability region;  damping;  spatial frames structural
分类号:
TU399
DOI:
10.15986/j.1006-7930.2016.01.013
文献标志码:
A
摘要:
结构在外荷载的作用下，其非线性几何刚度随着结构的变形发生变化而变化．基于结构动力学理论，采用有限元方法研究空间杆系结构的动力失稳区域．利用有限元变刚度的理论，同时引入不同参数和变换公式推导出马奇耶-希拉方程式．通过Ansys 和Matlab 软件进行编程模拟，分析无阻尼情况下的结构动力不稳定区域，并与鲍洛金不稳定区域推导式结果进行对比．结果表明：推导的结果接近鲍洛金不稳定区域结果，第一失稳区域相对保守，第二失稳区域非常接近，从而验证了的推导公式的适用性．可为实际工程结构频率避开失稳区域进行动力失稳设计提供理论的依据．
Abstract:
Based on structural dynamics research foundation, finite element method is used to study the dynamic buckling of the spatial frames structure area. Under the action of outer load, the nonlinear geometric stiffness of the structure changes with deformation of the structure change. In this paper, using the theory of finite element analysis of variable stiffness, and at the same time the introduction of different parameters and transform formula Mathieu-Hill equation is deduced. By Ansys and Matlab software programming simulation the structure dynamic unstable region without damping is compared with the results derived type of bolotin unstable regions. Results show that the results derived in this paper approaching bolotin unstable area, the first buckling area and the second instability area is relatively conservative. The results thus verified the correctness of the formula derived in this paper. This provides theoretical basis for practical engineering design, in helping us to avoid the structure in the area of instability of the consequences of damage.

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备注/Memo

备注/Memo:

收稿日期：2015-07-10 修改稿日期：2016-02-11

基金项目：国家自然科学基金项目(51008245)

作者简介：朱军强(1976-)，男，博士，副教授，主要从事工程结构智能减震与控制、结构健康监测及结构加固技术方面研究．E-mail:18710557768@163.com

更新日期/Last Update: 2016-04-02