轴向变速运动粘弹性弦线的横向振动分岔  

BIFURCATION IN TRANSVERSE VIBRATION OF AXIALLY ACCELERATING VISCOELASTIC STRINGS

作　　者：陈立群[1] 吴俊[1] 

机构地区：[1]上海大学力学系,上海市应用数学和力学研究所,上海200436

出　　处：《固体力学学报》2005年第1期83-86,共4页Chinese Journal of Solid Mechanics

基　　金：国家自然科学基金 (10 172 0 5 6)资助 .

摘　　要：研究轴向运动弦线横向振动的分岔 .弦线轴向速度为常平均速度带有简谐涨落 ,其粘弹性材料由Kelvin模型描述 .建立系统的动力学方程并应用 2阶Galerkin截断进行简化 .计算了弦线中点的Poincar啨截面映射对平均轴向速度、轴向速度涨落幅值和弹性模量的分岔图 .Bifurcation is investigated for transverse vibration of axially moving strings. The axial speed is a simple harmonic variation about the constant mean speed. The Kelvin model is adopted to describe the string material. The dynamical equation is established, and is truncated by the 2 term Galerkin method. Bifurcation diagrams are calculated to show the displacement and veocity projections of the Pioncaré maps with respecte to the mean axial speed, the amplitude of speed fluctuation and the elastic modulus.

关 键 词：轴向运动弦线 轴向速度 分岔 涨落 变速运动 KELVIN模型 粘弹性材料 横向振动 弹性模量 简化 

分 类 号：O345[理学—固体力学]