双质量扭振系统的1/3次亚谐共振

1/3 Subharmonic Resonance of Double Mass Torsional Vibration System

建立了双质量扭振系统的数学模型。应用多尺度法,求得了固有频率及与外激励频率存在时的一次近似解和对应的定常解"。对定常解进行了理论分析和数值计算,指出系统响应曲线存在跳跃,而且外激励幅值F1和F2的变化会影响系统幅频响应曲线发生改变。

A mathematical model of double mass torsional vibration system is established with quadratic nonlinearities.By using the method of multiple scale under the conditions,the first approximation solution and its corresponding steady-state solution,the theoretical and numerical analysis is made and steady-state curves are obtained.It is pointed out that the resonance has abundant dynamic phenomenon including jumps and amplitude-frequency response curves of system will be changed with the changing of forced excitations amplitude F1 or F2.