中文摘要：

研究轴向运动梁在外激励力作用下非线性振动的联合共振问题。利用哈密顿原理建立横向振动的轴向运动梁的振动微分方程，采用分离变量法分离时间变量和空间变量并利用Galerkin方法离散运动方程。采用IHB法进行非线性振动求解，分析在内共振条件且外激励作用下的联合共振问题，对周期解进行稳定性的判定。典型算例获得了不同外激励力振幅时系统非线性振动的复杂频幅响应曲线。

英文摘要：

Abstract： The combination resonance responses of nonlinear forced vibration of the axially moving beam are studied. The motion equations of the axially moving beam are derived through the Hamilton＇s Principle and discretized by the Galerkin＇s method. The IHR method is employed to solve the nonlinear vibration equations and to analyze the combination resonance of the system with internal resonance and forced vibration. And stability of the periodic solutions is studied. Numerical results show the complicated frequency-amplitude response curves of the axially moving beam.