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直杆塑性动力屈曲的能量准则和特征参数解
引用本文:王安稳.直杆塑性动力屈曲的能量准则和特征参数解[J].海军工程大学学报,2003,15(6):1-7.
作者姓名:王安稳
作者单位:海军工程大学,基础部,湖北,武汉,430033
基金项目:国家自然科学基金资助项目,面上项目(10272114)
摘    要:提出弹塑性应力波作用下直杆动力屈曲的定量求解方法,将临界应力和惯性指数作为一对特征参数求解.由相平衡邻位形准则得出屈曲控制方程和边界条件,由所导出的能量转换和守恒准则得出压缩波阵面上的附加约束方程,由此得出了问题的完备定解条件,从而提出了求解直杆塑性动力屈曲的特征参数方法.

关 键 词:能量转换准则  能量守恒准则  特征参数法  惯性指数  弹塑性压缩波  动力屈曲
文章编号:1009-3486(2003)06-0001-07
修稿时间:2003年9月18日

Energy criterion and characteristic parameter solution for plastic dynamic buckling of straight bars
WANG An-wen.Energy criterion and characteristic parameter solution for plastic dynamic buckling of straight bars[J].Journal of Naval University of Engineering,2003,15(6):1-7.
Authors:WANG An-wen
Abstract:A method of solving quantitatively the dynamic buckling is put forward for straight bars under elastic-plastic compression waves. The critical stress and inertial exponent are treated as a couple of characteristic parameters. The buckling-governing equations and boundary conditions are obtained in terms of the phase adjacent-equilibrium criterion. The supplementary restraint equation at compression wave fronts is given by the criterion of energy transformation and energy conservation that is developed in this paper. Thus, the necessary and sufficient conditions for determining the solution of the problem are obtained, and a characteristic parameter method for solving the plastic dynamic buckling of the straight bars is put forward.
Keywords:energy transformation criterion  energy conservation criterion  characteristic parameter method  inertial exponent  elastic-plastic compression waves  dynamic buckling
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