传送带系统主参数共振分析  

Parametric Resonances of Convection Belts System Analysis

作　　者：杨志安[1] 李高峰[1] 

机构地区：[1]唐山学院唐山市结构与振动工程实验室,河北唐山063000

出　　处：《应用数学和力学》2009年第6期701-712,共12页Applied Mathematics and Mechanics

基　　金：河北省自然科学基金资助项目(A200900997)

摘　　要：基于Coriolis加速度和Lagrange应力公式,利用Newton定律得到了运动带的横向振动运动方程.运用多尺度法得到了传送带系统主参数共振的近似解.分析了调谐参数、带的横截面积、黏弹性参数、轴向速度不仅影响非平凡稳态响应的幅值,并且影响其存在区域,揭示了一些新的动力学现象.Based on Coriolis acceleration and Lagrangian strain formula, the transverse vibration system of convection belts equation generalized was derived by Newton＇ s second law . The method of multiple scales was applied directly to the governing equations, and approximate solution of primary parameter resonance of the system was obtained. The detuning parameter, cross-section area, elastic and viscoelastic parameters, and an axial moving speed have a significant effect on the amplitudes of steady：state response and their existence boundaries. Some new dynamical phenomena were revealed.

关 键 词：传送带 主参数共振 多尺度法 

分 类 号：O321[理学—一般力学与力学基础]