Parametric resonances of convection belt system  

作　　者：杨志安 李高峰 

机构地区：[1]Key Laboratory of Structural and Vibration Engineering of Tangshan,Tangshan College,Tangshan 063000,Hebei Province,P. R. China

出　　处：《Applied Mathematics and Mechanics(English Edition)》2009年第6期753-764,共12页应用数学和力学（英文版）

基　　金：supported by the Natural Science Foundation of Hebei Province (No. A200900997)

摘　　要：Based on the Coriolis acceleration and the Lagrangian strain formula, a gen- eralized equation for the transverse vibration system of convection belts is derived using Newton＇s second law. The method of multiple scales is directly applied to the govern- ing equations, and an approximate solution of the primary parameter resonance of the system is obtained. The detuning parameter, cross-section area, elastic and viscoelastic parameters, and axial moving speed have a significant influences on the amplitudes of steady-state response and their existence boundaries. Some new dynamical phenomena are revealed.Based on the Coriolis acceleration and the Lagrangian strain formula, a gen- eralized equation for the transverse vibration system of convection belts is derived using Newton＇s second law. The method of multiple scales is directly applied to the govern- ing equations, and an approximate solution of the primary parameter resonance of the system is obtained. The detuning parameter, cross-section area, elastic and viscoelastic parameters, and axial moving speed have a significant influences on the amplitudes of steady-state response and their existence boundaries. Some new dynamical phenomena are revealed.

关 键 词：convection belts primary parametric resonance method of multiple scales 

分 类 号：O351[理学—流体力学]