In-plane stability of shallow fixed parabolic arches

被引：0
|
作者：
Chen Y. [1 ,2 ]
Feng J. [1 ,2 ]
机构：
[1] Key Laboratory of Concrete and Prestressed-Concrete Structures of Ministry of Education, Southeast University
[2] Engineering Research Center for Prestress of Jiangsu Province, Southeast University
来源：
Dongnan Daxue Xuebao (Ziran Kexue Ban)/Journal of Southeast University (Natural Science Edition) | 2010年 / 40卷 / 01期
关键词：
Dynamic buckling; Modified slenderness ratio; Parabolic arch; Snap-through; Step load;
D O I：
10.3969/j.issn.1001-0505.2010.01.036
中图分类号：
学科分类号：
摘要：
In-plane static and dynamic buckling of fixed parabolic arches is concerned. The equations of motion are derived from Hamilton's principle, and the nonlinear equilibrium equations and static buckling equilibrium equations are deduced for shallow parabolic arches. The law of conservation of energy is used along the unstable equilibrium paths to establish the criterion for dynamic buckling of shallow arches, and analytical solutions for the lower and upper dimensionless dynamic buckling loads of arches under the step load are obtained. It is found that modified slenderness ratio and the pre-applied static load are important parameters affecting the buckling of shallow arches, and that the static and dimensionless dynamic buckling loads increase with an increase of modified slenderness ratio. It is also shown that dynamic buckling loads are reduced by raising pre-applied static loads. The dynamic buckling loads will be significantly improved when the system potential energy along the stable equilibrium path are positive.
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页码：190 / 195
页数：5
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