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基于双特征参数解的直杆弹性动力后屈曲研究
引用本文:王安稳.基于双特征参数解的直杆弹性动力后屈曲研究[J].海军工程大学学报,2005,17(6):1-8.
作者姓名:王安稳
作者单位:海军工程大学,理学院,湖北,武汉,430033
基金项目:国家自然科学基金资助项目(10272114)
摘    要:利用差分方法求解动力后屈曲非线性方程解,研究了弹性直杆的2类轴向碰撞屈曲问题.将双特征参数解得出的含有小幅值参数的初始动力屈曲模态作为非线性后屈曲解的初始条件.理论计算的结果与文献中的实验数据达到了很好的一致,由此验证了双特征参数方法的正确性.研究结果还揭示了碰撞过程中屈曲变形扩展和发展的机理,以及轴向应力波和屈曲变形的相互作用规律.

关 键 词:弹性杆  轴向碰撞  动力屈曲  屈曲扩展  双特征参数
文章编号:1009-3486(2005)06-0001-08
修稿时间:2005年7月4日

Investigation into dynamic postbuckling of elastic bars based on twin-characteristic solution
WANG An-wen.Investigation into dynamic postbuckling of elastic bars based on twin-characteristic solution[J].Journal of Naval University of Engineering,2005,17(6):1-8.
Authors:WANG An-wen
Abstract:By the finite difference method,the non-linear equations governing the elastic dynamic post-buckling deformations are solvedfor 2 types of impact buckling problems for straight bars.The initial dynamic buckling mode with a small amplitude parameter,given by the twin-cha-(racteristic-parameter) solution,is used as the initial condition of the nonlinearpost-buckling solution.The theoretical results are in good agreement with the experimental data in the references,by which the twin-characteristic-parameter solution is proved.The investigation reveals the mechanism of growth and spread of buckling deformation in the bar and the interaction between the axial stress wave and the buckling deformation in the process of impact.
Keywords:elastic bars  axial impact  dynamic buckling  growth and spread of buckling  twin-cha-(racte)ristic-parameter
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