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阶跃载荷作用下弹塑性悬臂梁的变形机制与能量耗散
引用本文:LIU Feng,席丰.阶跃载荷作用下弹塑性悬臂梁的变形机制与能量耗散[J].爆炸与冲击,2008,28(3):243-251.
作者姓名:LIU Feng  席丰
作者单位:1.同济大学土木工程防灾国家重点实验室,上海 200092;
基金项目:教育部留学回国人员科研启动基金
摘    要:基于大挠度动力控制方程,应用有限差分离散求解,研究了阶跃载荷作用下弹塑性悬臂梁的动力行为。通过对动力响应早期内力、变形以及能量分布规律的分析,考察了悬臂梁的弹塑性响应模式和变形机制,并与已有的刚塑性分析进行了系统的比较。数值计算表明,阶跃载荷的不同幅值使得梁的响应模式存在较大差异,弹塑性分析肯定了刚塑性理论在处理中载情形的准确性,同时也指出了其在处理低载和高载情形时的缺陷。通过与小变形理论计算结果的比较,指出了考虑大变形效应的必要性,为今后的大变形刚塑性动力分析提出了建议。

关 键 词:固体力学    变形机制    有限差分    悬臂梁    能量耗散    弹塑性    阶跃载荷    大变形

Deformation mechanism and energy dissipation of an elastic-plastic cantilever beam subjected to step loading
LIU Feng,XI Feng.Deformation mechanism and energy dissipation of an elastic-plastic cantilever beam subjected to step loading[J].Explosion and Shock Waves,2008,28(3):243-251.
Authors:LIU Feng  XI Feng
Institution:1.State Key Laboratory for Disaster Reduction in Civil Engineering, Tongji University, Shanghai 200092, China;2.Shandong Jianzhu University, Jinan 250101, Shandong, China
Abstract:The dynamic response of an elastic-plastic cantilever beam subjected to step loading at its tip was studied numerically by employing large deflection governing equations and solving them expressed in the finite-difference form. The deformation mechanism and energy dissipation were explored by analyzing the instantaneous distribution of internal force, deformation and energy during the early dynamic response and were compared with those of rigid-plastic analysis. Numerical calculation indicates that the deformation mechanism is different due to the magnitude of the step loading. Elastic-plastic analysis confirms the validity of the rigid-plastic theory in dealing with the case of moderate load, and it points out the defects of the rigid-plastic method in the case of low and intense dynamic loads. Comparison with the results calculated by the small deformation theory shows that it is required to consider the large deformation effects.
Keywords:solid mechanics  deformation mechanism  finite difference  cantilever beam  energy dissipation  elastoplasticity  step load  large deformation
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