两种边界条件直杆的撞击屈曲及其应力波效应  

DYNAMIC BUCKLING OF ELASTIC BAR WITH TWO DIFFERENT BOUNDARY CONDITIONS AND THE EFFECT OF STRESS WAVE

作　　者：王蕊[1] 韩志军[2] 张善元[1] 

机构地区：[1]太原理工大学建筑与土木工程学院,山西太原030024 [2]太原理工大学理学院,山西太原030024

出　　处：《工程力学》2007年第11期7-11,31,共6页Engineering Mechanics

基　　金：国家自然科学基金项目(10772129)

摘　　要：在对Bernoulli-Euler梁运动方程定性分析的基础上,利用非零解的条件,直接展开含双参数的特征行列式得到了两端固定和一端铰支一端固定直杆动力屈曲临界载荷和相应的屈曲模态;证明了b<-α4/4时,模态方程的解不代表杆的动力屈曲。进一步,讨论了杆-杆类直杆动力屈曲过程中的应力波效应,其理论预测结果和相应的撞击实验结果显示出相当好的一致性。On the basis of the dynamic stability character analyses of elastic bars subjected to axial compression, the theoretical analyses of dynamic buckling for the bar with two end fixed and the bar with one end hinged and another end fixed are performed. Expanding the characteristic equations with double parameters, the dynamical buckling critical loads and the buckling modes of two different boundary conditions are achieved. It is demonstrated that the solution of mode function is not the bar＇s buckling solution when b 〈 -α^4 /4. Furthermore, some other respects about the stress-wave-induced buckling are discussed and the result is very consistent with that of experimental studies

关 键 词：完善直杆 临界载荷 动力屈曲 应力波加载 屈曲模态 

分 类 号：O347.3[理学—固体力学]