直杆动力屈曲及屈曲过程中的应力波效应  

Dynamic Buckling of Elastic Bar and the Effect of Stress Wave in the Buckling Process

作　　者：张善元[1] 王蕊[1] 韩志军[1] 

机构地区：[1]太原理工大学应用力学研究所,山西太原030024

出　　处：《太原理工大学学报》2007年第1期1-4,共4页Journal of Taiyuan University of Technology

基　　金：国家自然科学基金资助项目(10472076)

摘　　要：在对受轴压直杆动力稳定性定性分析的基础上,完成了两端固定和一端铰支一端固定直杆动态屈曲分析。利用非零解的条件,直接展开含双参数的特征行列式,得到了动力屈曲临界载荷和相应的屈曲模态;进而讨论了杆端受轴向撞击作用时动力屈曲过程中的应力波效应,理论分析预测和我们的撞击实验结果显示出相当好的一致性。On the basis of the analyses of the dynamic stability characteristics of elastic bars subjected to axial compression, the theoretical analyses of dynamic buckling for fixed-fixed and hinged-fixed bars are completed. Only considering the condition of nontrivial solution and directly expanding the characteristic equations with double parameter, the dynamical buckling critical loads and the buckling modes of two different boundary conditions are achieved. Furtherly, some important respects about the stress-wave-induced buckling are discussed detailed and the result of experimental studies is very consistent with the result of theoretical studies.

关 键 词：完善直杆 动力屈曲 应力波加栽 

分 类 号：O347.3[理学—固体力学]