考虑应力波效应时直杆塑性动力屈曲研究  

Dynamic plastic buckling of columns under effect of stress waves

作　　者：毛柳伟[1] 王安稳[1] 韩大伟[1] 邓磊[1] 

机构地区：[1]海军工程大学理学院,湖北武汉430033

出　　处：《华中科技大学学报（自然科学版）》2012年第12期85-87,106,共4页Journal of Huazhong University of Science and Technology(Natural Science Edition)

基　　金：国家自然科学基金资助项目(11172330)

摘　　要：采用有限元离散,对应力波作用下直杆塑性动力屈曲问题进行研究,提出了一种求解方法.由直杆动力分叉屈曲的特征方程可知,屈曲模态中放大最快的模态同时满足了双特征参数法所得到的屈曲控制方程和波前约束条件,因而其对应的应力波传播长度即为临界屈曲长度.据此,建立了直杆塑性动力屈曲求解的数值方法,计算表明本文方法所得结果与文献数据符合较好,该方法可以推广到任意形式动载荷作用下考虑应力波效应直杆的屈曲研究中去.To study dynamic plastic buckling of columns under compression stress waves,a method was proposed.After analyzing the eigenfunction of plastic buckling columns,it is seen that the most amplified bucking mode can meet the requirements of governing equations and supplementary restraint-equation obtained by the twin-characteristic-parameter solution,so the corresponding distance of stress wave propagating is the critical buckling length.Accordingly,the numerical method was established to solve this problem.Calculation results are in good agreement with the experimental results,and it can be extended to dynamic buckling of columns under arbitrary form of dynamic forces with the effect of stress waves.

关 键 词：动力屈曲 应力波 直杆 塑性 最优模态 

分 类 号：O343[理学—固体力学]