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含初缺陷裂纹损伤梁的冲击动力屈曲
引用本文:贺远松,唐文勇,张圣坤. 含初缺陷裂纹损伤梁的冲击动力屈曲[J]. 计算力学学报, 2006, 23(6): 743-748
作者姓名:贺远松  唐文勇  张圣坤
作者单位:上海交通大学,海洋工程国家重点实验室,上海,200030;上海交通大学,海洋工程国家重点实验室,上海,200030;上海交通大学,海洋工程国家重点实验室,上海,200030
基金项目:国家自然科学基金(10202013),上海市高校优秀青年教师后备人选资助项目
摘    要:由Hamilton原理导出考虑初始缺陷及横向剪切变形时裂纹梁的动力屈曲控制方程;应用断裂力学中常用的线弹簧模型将裂纹引入到屈曲控制方程中;基于B-R动力屈曲判断准则,采用数值方法求解了受轴向冲击载荷作用时裂纹梁的动力屈曲;对比讨论了不同冲击速度、初始几何缺陷大小以及分布形式等因素对梁冲击动力屈曲的影响。

关 键 词:动力屈曲  裂纹梁  初缺陷  冲击
文章编号:1007-4708(2006)06-0743-06
修稿时间:2004-09-16

Dynamic buckling of cracked beams with initial geometric imperfections subject to axial impact
HE Yuan-song,TANG Wen-yong,ZHANG Sheng-kun. Dynamic buckling of cracked beams with initial geometric imperfections subject to axial impact[J]. Chinese Journal of Computational Mechanics, 2006, 23(6): 743-748
Authors:HE Yuan-song  TANG Wen-yong  ZHANG Sheng-kun
Abstract:This paper investigates the dynamic buckling of a cracked beam with geometric imperfections subject to impacting.For a cracked beam,the dynamic buckling control equations are derived from Hamilton's principle using the first order shear deformation theory.The discrete equations are obtained using the finite difference method.The effect of crack is taken into account in buckling control equations using line-spring model of fracture mechanics.According to the BR dynamic buckling criterion,the critical velocity of dynamic buckling of cracked beams is obtained.In addition,the effects of impact velocity and initial geometric imperfections on the impact dynamic buckling of perfect beams and cracked beams are discussed.
Keywords:dynamic buckling  cracked beams  initial geometric imperfection  impact
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