›› 2015, Vol. 37 ›› Issue (3): 344-349.DOI: 10.6052/1000-0879-14-371

• 应用研究 • 上一篇    下一篇

黏弹性层合悬臂薄壁圆柱壳的模态特性研究

王宇1, 谷月2, 李昌1, 韩清鹏1   

  1. 1. 辽宁科技大学机械工程学院, 辽宁鞍山 114051;
    2. 辽宁科技大学理学院, 辽宁鞍山 114051
  • 收稿日期:2014-11-15 出版日期:2015-06-15 发布日期:2015-07-03
  • 通讯作者: 王宇,博士,讲师,主要从事机械振动及其抑制研究.E-mail:wangyu435@126.com
  • 基金资助:
    国家自然科学基金(51105187)和辽宁科技大学青年基金(2014QN13)资助项目.

MODAL CHARACTERISTICS OF A VISCOELASTIC LAMINATED CANTILEVER THIN CYLINDRICAL SHELL

WANG Yu1, GU Yue2, LI Chang1, HAN Qingpeng1   

  1. 1. School of Mechanical Engineering, University of Science and Technology Liaoning, Anshan 114051, Liaoning, China;
    2. School of Science, University of Science and Technology Liaoning, Anshan 114051, Liaoning, China
  • Received:2014-11-15 Online:2015-06-15 Published:2015-07-03

摘要: 基于薄壳理论和黏弹性理论, 得出了黏弹性层合悬臂薄壁圆柱壳模态特性的半解析解. 根据乐甫薄壳理论, 建立了基层和黏弹性阻尼层薄壁圆柱壳的一阶状态微分方程, 结合黏弹性阻尼层的变形协调关系和层间作用力关系, 利用传递矩阵法得出了整体结构的传递矩阵, 采用高精度的精细积分法得出了固有频率、模态损耗因子和三维模态振型, 最后通过有限元法进行了比较, 通过算例验证了传递矩阵法对黏弹性层合薄壁圆柱壳模态特性研究的有效性.

关键词: 黏弹性层合薄壁圆柱壳|悬臂边界条件|固有频率|三维模态振型|模态损耗因子

Abstract: Based on the thin shell theory and the viscoelastic theory, the modal characteristics of a viscoelastic laminated cantilever thin cylindrical shell are obtained by a semi-analytical method. Firstly, the dynamic model for the host shell and the constraining layer is established based on the Love's shell theory combining with the consideration of the deformation coordination and the interatomic forces of the viscoelastic damping layer, and the first-order ordinary differential equations of the whole component are derived in the state vectors by the transfer matrix method. Then, the natural frequencies, the modal loss factor and the three-dimensional modal shapes are obtained by means of a high-precise integration method, which are compared with the results by the finite element method. The example results show that the transfer matrix method is effective to obtain the modal vibration characteristics of the viscoelastic laminated cantilever thin cylindrical shell.

Key words: viscoelastic laminated thin cylindrical shell|cantilever boundary condition|natural frequency|three-dimensional modal shape|modal loss factor

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