Nonlinear in-plane stability and catastrophe analysis of shallow arches

被引：0
|
作者：
Zhu X.-L. [1 ]
Sun D.-B. [1 ]
机构：
[1] School of Civil Engineering, Nanjing Forestry University, Nanjing
来源：
Zhendong yu Chongji/Journal of Vibration and Shock | 2016年 / 35卷 / 06期
关键词：
Catastrophe theory; Displacement catastrophe; Shallow arch; Stability; Strain energy catastrophe;
D O I：
10.13465/j.cnki.jvs.2016.06.008
中图分类号：
学科分类号：
摘要：
The catastrophe properties of shallow arches under harmonic load were analyzed by adopting the catastrophe criteria of displacement and strain energy respectively. A cusp catastrophe model that expresses the relationship between displacement and frequency was obtained from the nonlinear vibration equation by the harmonic balance method and the nonlinear responses of shallow arches were analyzed according to the criterion of displacement catastrophe. The strain energy catastrophe guideline of instability was obtained according to catastrophe theory by using the system energy principle and finite element software. The differences between the results by the two catastrophe criteria were discussed. The results show that the displacement or strain energy of shallow arches both can have a sudden change. Span, rise and load have impact on catastrophe. The results are almost the same, calculated according to either of the two catastrophe criteria, each has advantages and disadvantages. © 2016, Editorial Office of Journal of Vibration and Shock. All right reserved.
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页码：47 / 51and74
页数：5127
相关论文
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