轴向弹塑性应力波作用下直杆中的分叉问题  

The Bifurcation Problem of Columns Caused by Elastic_Plastic Stress Wave Propagation

作　　者：韩强[1,2] 胡海岩[1,2] 杨桂通 

机构地区：[1]南京航空航天大学振动工程研究所 [2]太原理工大学应用力学研究所

出　　处：《应用数学和力学》1999年第6期569-578,共10页Applied Mathematics and Mechanics

基　　金：国家自然科学基金

摘　　要：考虑了一个弹塑性直杆的动力屈曲问题，将其归结为轴向阶跃应力波的传播导致的分叉问题，分析了横向惯性效应的影响，并考虑了应力波反射的作用，给出了相应的屈曲条件，最后进行了数值分析，从中得到了一些有益的结论·In this paper, the dynamic buckling of an elstic_plastic column is studied. Let its dynamic buckling under step load be reduced to a bifurcation problem caused by the propagation of axial elastic_plastic stress wave. The critical buckling condition is given and the reflection of the elastic_plastic stress wave is taken into consideration. In the end, numerical computation and conclusions are presented and obtained.

关 键 词：分叉 应力波 动力屈曲 弹塑性直杆 冲击载荷 

分 类 号：O343.9[理学—固体力学] O344.7[理学—力学]