薄壁圆柱壳构件受迫振动的响应特征研究

针对固支-自由约束条件下受径向谐波激励或径向冲击激励的薄壁圆柱壳构件，开展其受迫振动下的响应特征分析。首先基于Love壳体理论建立了薄壁圆柱壳构件的动力学模型，然后，根据固支-自由约束条件特点，采用轴向梁函数和周向三角函数组合的振型函数以及振型叠加法，获得了考虑粘性阻尼的薄壁圆柱壳模态坐标振动方程，进而求解受径向谐波激励或冲击激励的振动响应。通过一个具体算例，进行了不同位置上的响应幅度与相位的变化分析，并对比了模态阻尼比和激励力幅值对响应幅值的影响。

Study on response characteristics for forced vibrations of thin cylindrical shell

 An analysis was made to study on response characteristics for forced vibrations of a clamp-free boundary condition under a radial harmonic excitation force or a radial impact excitation force, Firstly, a dynamic model of a thin cylindrical shell was constructed according to Love’s shell theory. Secondly, taking damping into account, the dynamic equations were solved based on modal superposition method and the modal coordinates vibration equations were acquired, so as to get the vibration response results when the cylindrical shell was subject to a radial harmonic excitation force or a radial impact excitation force. Finally, the variation of response amplitudes and phases was got in different locations of the cylindrical shell through a specific example, and the influence rules were compared when modal damping ratio and the excitation force value were different.