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角钢梁在静态和突发性动态荷载下的非线性不稳定性
摘    要:介绍了纯弯曲载荷作用下角钢梁的扁屈性能。使用能量法对角钢梁弱轴在纯弯曲载荷下静态与动态的不稳定性推导出一种解析解。结果显示,角钢在受瞬间压力的作用时,其弯矩达到静态临界弯矩的71%时,即发生失稳;但是其在动力状态下纵向弯曲和屈曲的变形临界值是静力状态下的2倍。

关 键 词:屈曲  非线性不稳定性  角钢    静力弯曲  动力弯曲

Nonlinear Instability of Angle Section Beams Subjected to Static and Dynamic Sudden Step Loads
Abstract:This paper presents a study on the flattening behaviour of angle section beams subjected to pure bending. Analytical solutions for both static and dynamic instabilities of angle section beams subjected to pure bending about its weak axis are derived using energy methods. The results show that the dynamic instability of angle section beams under the action of a sudden step moment occurs at a moment about 71% of the corresponding critical static moment, but the deformations of the longitudinal curvature and flattening at the critical dynamic state are almost twice of those corresponding to the static instability case.
Keywords:Flattening  Nonlinear instability  Angle section  Beam  Static bending  Dynamic bending
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