轴向应力波作用下完善弹性直杆的稳定性分析  

ANALYSIS OF STABILITY OF PERFECT STRAIGHT ELASTIC BAR UNDER AXIAL STRESS WAVES

作　　者：汤立群[1,2] 朱兆祥[1,2] 

机构地区：[1]华南理工大学交通学院 [2]中国科学院力学研究所

出　　处：《华南理工大学学报（自然科学版）》1997年第9期84-90,共7页Journal of South China University of Technology(Natural Science Edition)

摘　　要：应用离散系统的稳定性理论，在“冻结”系数的条件下研究了在轴向应力波作用下弹性直杆的稳定性的特点，得出了特征矩阵的特征值随应力波传播的变化规律，这些变化规律表明在研究应力波引起的直杆屈曲问题中，采用冻结边界技术和在应力波阵面上假定横向位移及其一阶导数连续是合理的。研究还表明对于完善系统，单凭线性稳定性理论不足以预言应力波传播引起的动态后屈曲的发展方向。The stability characteristics of straight elastic bars under axial stress wave was studied by means of the stability theory of discrete systems on the condition that the coefficients are “frozen”.The derived variation laws of the eigenvalues of the characteristic matrix with the propagation of stress waves indicate that in studying the buckling problems of this straight elastic bar,it is reasonable to adopt the boundary_freezing technique and to assume the transverse displacement and its first_order deriva...

关 键 词：稳定性 应力波 直杆 

分 类 号：O389[理学—流体力学]