粘弹性变速运动梁稳定性的直接多尺度分析  

Direct multiscale analysis of stability of an axially accelerating viscoelastic beam

作　　者：杨晓东[1] 陈立群[2,3] 

机构地区：[1]沈阳航空工业学院工程力学系 [2]上海大学力学系 [3]上海市应用数学和力学研究所,上海200072

出　　处：《振动工程学报》2005年第2期223-226,共4页Journal of Vibration Engineering

基　　金：国家自然科学基金资助项目(10472060);上海市自然科学基金资助项目(04ZR14058);沈阳航空工业学院博士启动基金资助项目(05YB04)

摘　　要：研究粘弹性轴向加速运动梁横向振动的稳定性。将多尺度法直接应用于系统控制方程,导出了消去长期项的可解性条件。利用该条件得到了次谐共振和组合共振的稳定边界。给出的数值算例说明了粘弹性系数对稳定性边界的影响。The stability is investigated for transverse vibration of an axially accelerating viscoelastic beam. The method of multiple scales is applied directly to the governing equation, and the solvability condition is derived from eliminating secular terms. Based on the condition, the stability boundaries are obtained in the cases of subharmonic resonance and combination resonance. Numerical examples are presented to show the effects of viscoelastic coefficient on the stability boundaries.

关 键 词：粘弹性 多尺度法 次谐共振 组合共振 变速运动梁 稳定性 

分 类 号：O321[理学—一般力学与力学基础]