轴向运动简支—固支梁的横向振动和稳定性  

TRANSVERSE VIBRATION AND STABILITY OF AN AXIALLY MOVING BEAM WITH PINNED AND FIXED ENDS

作　　者：李晓军[1] 陈立群[1] 

机构地区：[1]上海应用数学和力学研究所上海大学力学系,上海200072

出　　处：《机械强度》2006年第5期654-657,共4页Journal of Mechanical Strength

基　　金：国家自然科学基金(10472060);上海市自然科学基金(04ZR14058)资助项目~~

摘　　要：研究一端简支一端固支轴向运动梁的横向振动和稳定性。提出在给定边界条件下确定一匀速运动梁固有频率和模态函数的方法。当轴向运动速度在其常平均值附近作简谐波动时,应用多尺度法给出轴向变速运动梁参数共振时的不稳定条件。用数值仿真说明相关参数对固有频率和不稳定边界的影响。Vibration and stability are investigated for an axially moving beam constrained by a pinned end and a fixed end. A scheme is proposed to derive natural frequencies and modal functions of a beam under the given boundary conditions and moving axially at a constant speed. When the axial speed varies harmonically about a constant mean one, the method of multiple scales is applied to the axially moving beam to determine the instability boundary due to parametric resonance. Numerical simulations show the effects of related parameters on the natural frequencies and the instability boundaries.

关 键 词：轴向运动梁 横向振动 固有频率 模态函数 多尺度法 稳定性 

分 类 号：O326[理学—一般力学与力学基础] O343.9[理学—力学]