不确定初始几何缺陷杆动态屈曲失效分析

北京航空航天大学学报 ›› 2011, Vol. 37 ›› Issue (12): 1484-1489,1509.

不确定初始几何缺陷杆动态屈曲失效分析

王晓军¹, 王磊¹, 马丽红², 邱志平¹

1. 北京航空航天大学航空科学与工程学院, 北京 100191;
2. 国电联合动力技术有限公司, 北京 100036

收稿日期:2010-06-25 出版日期:2011-12-30 发布日期:2012-01-03
作者简介:王晓军(1978-),男,陕西岐山人,副教授,XJWang@buaa.edu.cn.
基金资助:
国家自然科学基金资助项目(11002013); 高等学校学科创新引智计划项目(B07009); 国防基础科研计划资助项目(A2120110001)

Dynamic buckling failure analysis of rod with uncertain initial geometrical imperfection

Wang Xiaojun¹, Wang Lei¹, Ma Lihong², Qiu Zhiping¹

1. School of Aeronautic Science and Engineering, Beijing University of Aeronautics and Astronautics, Beijing 100191, China;
2. Guodian United Power Technology Co.Ltd, Beijing 100036

Received:2010-06-25 Online:2011-12-30 Published:2012-01-03

摘要/Abstract

摘要： 由初始几何缺陷所引起的结构屈曲载荷降低最高可达70%.由于制造误差等原因使得结构初始几何缺陷往往具有不确定性,而这种不确定性又必然会导致结构屈曲荷载与动态屈曲响应的不确定性.研究了动载作用下含有不确定初始几何缺陷杆的动态屈曲失效问题.基于积分挠度定义了动态屈曲安全因子.采用区间分析方法和凸模型方法,给出了具有不确定初始几何缺陷杆的基于积分位移的动态屈曲安全因子的最不利估计,其结果为判断具有不确定初始几何缺陷杆结构的动态屈曲失效分析提供了重要依据.

Abstract: It can be found from some data that the buckling load of structure may decrease by 70 percent due to the existence of initial geometric imperfection.The initial geometric imperfection may be uncertain due to the manufacture errors and so on, so this will lead to the uncertainty of the buckling load or the dynamic buckling response of structure. The problem of dynamic buckling failure of rod with uncertain initial geometrical imperfection under the axial dynamic loading was studied. The safety factor was defined based on the integral deflection. The uncertain initial geometrical imperfection was described by interval analysis and convex models respectively, and then the least favorable estimation on the dynamic buckling safety factor of rod was evaluated based on the integral displacements. The results are significant for judging the dynamic buckling failure analysis of rod with uncertain initial geometrical imperfection.

中图分类号:

O 344.1

王晓军, 王磊, 马丽红, 邱志平. 不确定初始几何缺陷杆动态屈曲失效分析[J]. 北京航空航天大学学报, 2011, 37(12): 1484-1489,1509.

Wang Xiaojun, Wang Lei, Ma Lihong, Qiu Zhiping. Dynamic buckling failure analysis of rod with uncertain initial geometrical imperfection[J]. JOURNAL OF BEIJING UNIVERSITY OF AERONAUTICS AND A, 2011, 37(12): 1484-1489,1509.

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