变速运动可压缩夹层梁稳定性的直接多尺度分析  

Direct multiscale analysis of the stability of an axially moving compressible sandwich beam with time-dependent velocity

作　　者：颜婷 杨天智 丁虎[1] 陈立群[1,3] YAN Ting;YANG Tianzhi;DING Hu;CHEN Liqun(Shanghai Institute of Applied Mathematics and Mechanics,Shanghai University,Shanghai 200072,China;Department of Mechanics,Tianjin University,Tianjin 300072,China;Department of Mechanics,Shanghai University,Shanghai 200444,China)

机构地区：[1]上海大学上海市应用数学和力学研究所,上海200072 [2]天津大学力学系,天津300072 [3]上海大学力学系,上海200444

出　　处：《振动与冲击》2019年第4期40-44,共5页Journal of Vibration and Shock

基　　金：国家自然科学基金(11672187;11872159;11572182)

摘　　要：与传统的不可压缩夹层梁不同,研究了一种可压缩的复合材料夹心梁的运动稳定性。将直接多尺度法应用于轴向速度带有脉动特性的运动梁的分析过程,得到系统的固有频率,并导出次谐波共振和组合共振的可解性条件,并由此得到共振的稳定性边界。给出的数值算例说明了梁平均速度以及梁弹性模量与剪切模量的比值对稳定性边界的影响,并在此基础上比较了可压缩夹层梁与普通不可压缩梁的区别。The motion stability of a composite and soft-cored compressible sandwich beam was investigated,which is different from the traditional incompressible sandwich beam.The direct multiscale method was applied to the analysis process of an axially moving sandwich beam with time-dependent velocity,then the natural frequency and solvability conditions were obtained.Based on the conditions,the stability boundaries of subharmonic resonance and combination resonance were obtained.The numerical examples were presented to show the effect of mean velocity and the ratio of the elastic modulus to shear modulus on the stability boundaries,and the difference between the compressible sandwich beam and the ordinary incompressible beam was compared.

关 键 词：轴向运动 夹层梁 软夹心层 多尺度法 稳定性边界 

分 类 号：O32[理学—一般力学与力学基础] O321[理学—力学]