第一作者王宇男，博士生，1979年生

通信作者罗忠男，副教授，1978年生

薄壁圆柱壳构件受迫振动的响应特征研究

王宇1, 2， 罗忠1

(1.东北大学机械工程与自动化学院，沈阳110819； 2.辽宁科技大学机械工程学院，辽宁鞍山114051)

摘要：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。

关键词：薄壁圆柱壳；响应特征；谐波激励；冲击激励

基金项目：国家自然科学基金资助项目(51105064)；教育部基本科研业务费专项资金资助项目(N130503001)

收稿日期：2013-12-19修改稿收到日期：2014-05-20

中图分类号:O241.82；O327

文献标志码：A

DOI:10.13465/j.cnki.jvs.2015.07.017

Abstract:The forced vibration response characteristics of a clamp-free cylindrical shell under radial harmonic excitation force or radial impact excitation force were analysed. A dynamic model of thin cylindrical shell was constructed according to Love’s shell theory. Taking damping into account, the dynamic equations were solved based on the modal superposition method and the vibration equations in modal coordinates were acquired, so as to get the vibration response results when the cylindrical shell was subjected to radial harmonic excitation force or radial impact excitation force. Through a specific example, the variation of response amplitudes and phases at different locations of the cylindrical shell was analysed and the influences of different modal damping ratio and different excitation force on the responses were discussed.

Forced vibration response characteristics of thin cylindrical shell

WANGYu1, 2,LUOZhong1(1.School of Mechanical Engineering and Automation, Northeast University, Shenyang 110819, China;2.School of Mechanical Engineering, University of Science and Technology Liaoning, Anshan 114051, China)

Key words:thin cylindrical shell; response characteristics; harmonic excitation; impact excitation

薄壁短圆柱壳通常是指轴向半波数等于1，且壁厚与其他最小特征尺寸(直径、长度)之比在1/80和1/5之间的圆柱筒体[1]。该类结构广泛应用于航空、宇航、造船和化工机械等诸多领域，是旋转机械中起到连接轴段、传递扭矩的重要组件，常常由于处于复杂的工作环境中而容易产生共振和失稳等。对于固支-自由边界约束条件的薄壁圆柱壳构件，当受到单点径向谐波激励或冲击激励作用时，其受迫振动响应的振幅与激振力和结构阻尼等因素有关。……