Nonlinear dynamic buckling of shallow elastic arch

被引：0
|
作者：
Han Q. [1 ,2 ]
Huang H.-W. [1 ]
Fan X.-J. [1 ]
机构：
[1] School of Civil Engineering and Transportation, South China University of Technology
[2] College of Architectural and Civil Engineering, Xinjiang University, Urumchi 830047, Xinjiang
来源：
Huanan Ligong Daxue Xuebao/Journal of South China University of Technology (Natural Science) | 2010年 / 38卷 / 03期
关键词：
Dynamic buckling; Nonlinear dynamics; Shallow arch; Snap-through buckling;
D O I：
10.3969/j.issn.1000-565X.2010.03.001
中图分类号：
学科分类号：
摘要：
This paper deals with the snap-through buckling of a shallow elastic arch under dropping impacts by means of the nonlinear dynamic method. In the investigation, a nonlinear dynamic equilibrium equation is deduced based on the Hamilton principle and is then analyzed using both the single-mode and the double-mode methods. Then, the governing equation of structure responses is obtained via Galerkin's approach. Moreover, the characteristics of equilibrium points of the system are discussed and the stability of system attracters and their attraction domains is analyzed. Numerical results show that the double-mode method is more accurate than the single-mode one. The single-mode method may give incorrect critical buckling conditions and dynamic responses in some conditions. In addition, the initial shape of the shallow arch greatly affects the critical conditions of snap-through buckling, and that higher arch may possess greater buckling bearing capacity.
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页码：1 / 7
页数：6
相关论文
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