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基于突变理论的扁拱跳跃屈曲分析
Snap-through buckling analysis of shallow arches based on catastrophe theory
【摘要】 分析了扁拱在静载荷或动载荷作用下发生跳跃屈曲的原因。采用尖点突变理论建立悬链线形拱的跳跃屈曲模型,推导临界荷载公式,并采用Matlab工具计算及Ansys验算模型理论正确性,最后对上述两种方法所得值进行比较。
【Abstract】 Shallow arch will happen snap-through buckling under the dead load or live load because of the elastic compression of the arch axis. In this paper, firstly build the snap-through buckling model of the catenary and the parabola arch, derivate the critical load equation. Getting the critical load by Matlab program and validating the model theory with Ansys, finally compare the values gotten by the above ways.
【关键词】 扁拱;
跳跃屈曲;
尖点突变;
临界荷载;
【Key words】 shallow arches; snap-through buckling; cusp catastrophe; critical buckling;
【Key words】 shallow arches; snap-through buckling; cusp catastrophe; critical buckling;
- 【文献出处】 山西建筑 ,Shanxi Architecture , 编辑部邮箱 ,2005年14期
- 【分类号】TU311
- 【被引频次】13
- 【下载频次】219