基于传递矩阵法的周期性圆柱壳体振动特性分析

鞠海燕; 扶名福; 徐斌

doi:10.21656/1000-0887.380090

基于传递矩阵法的周期性圆柱壳体振动特性分析

doi: 10.21656/1000-0887.380090

鞠海燕^1,2,
扶名福^1,2,3,
徐斌²

¹南昌大学建筑工程学院, 南昌 330031;²南昌工程学院江西省水利土木特种加固与安全监控工程研究中心, 南昌 330099;³共青科技职业学院, 江西共青 332020

基金项目: 国家自然科学基金（51269021；51569016)；江西省科技厅项目（20133ACB20006；20122BBG70174；20142BAB206001；S2016SFYBG0137）；江西省教育厅科技落地计划项目（KJLD12048）；赣鄱英才555工程

详细信息

作者简介:
鞠海燕（1978—），女，副教授，博士（通讯作者. E-mail: jhyhgw@qq.com);扶名福（1953—），男，教授，博士生导师（E-mail: fmfu@nit.edu.cn）.

中图分类号: O327
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出版历程
- 收稿日期: 2017-04-10
- 修回日期: 2018-01-15
- 刊出日期: 2018-03-15

Vibration Characteristics Analysis of Periodic Cylindrical Shells-Based on the Transfer Matrix Method

JU Haiyan^1,2,
FU Mingfu^1,2,3,
XU Bin²

¹School of Civil Engineering and Architecture, Nanchang University, Nanchang 330031, P.R.China;²Jiangxi Provincial Engineering Research Center of the Special Reinforcement and Safety Monitoring Technology in Hydraulic & Civil Engineering, Nanchang Institute of Technology, Nanchang 330099, P.R.China;³Gongqing Institute of Science and Technology,Gongqing, Jiangxi 332020, P.R.China

Funds: The National Natural Science Foundation of China（51269021；51569016)

摘要

摘要: 基于声子晶体理论和Love壳体理论，建立了圆柱壳体的轴对称波动微分方程，数值分析了周期性圆柱壳的能带特性.利用传递矩阵法建立了相邻胞元间的传递矩阵，推导了周期性圆柱壳各胞元环径向轴对称波动动态刚度矩阵.结合数值算例分析了弹性模量变化和几何尺寸变化对圆柱壳体波的传播特性的影响，数值结果表明：振动波在传播过程中存在禁带域和通带域，长度比的变化对周期性圆柱壳体禁带的幅值、宽度和个数影响显著，因此可以通过调整结构尺寸参数改变结构中波的传播特性，该文的研究可以为结构的抗震设计、减振控制提供一种新思路.
- Love壳体理论 /
- 传递矩阵法 /
- 能量带 /
- 振动特性
Abstract: Based on the phononic crystal theory and the Love shell theory, the radial axisymmetric vibration equations for cylindrical shells were established. The dynamic stiffness matrix of each cell in the periodic cylindrical shell was obtained, and the transfer matrix between adjacent cells was derived with the transfer matrix method. The effects of the elastic modulus and geometric sizes on the wave propagation characteristics were analyzed according to the numerical examples. Numerical results show that there exist band gaps and pass gaps during the process of wave propagation in periodic cylindrical shells; the change of the length ratio has a significant effect on the amplitude, the width and the number of the band gaps. Therefore, it is possible to regulate the wave propagation characteristics of the structure through adjustment of the structural dimensions, which provides a new way for the design and vibration control of the structure.
- Love shell theory /
- transfer matrix method /
- energy band /
- vibration characteristic

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参考文献(16)

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基于传递矩阵法的周期性圆柱壳体振动特性分析

doi: 10.21656/1000-0887.380090

作者简介:
鞠海燕（1978—），女，副教授，博士（通讯作者. E-mail: jhyhgw@qq.com);扶名福（1953—），男，教授，博士生导师（E-mail: fmfu@nit.edu.cn）.

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Vibration Characteristics Analysis of Periodic Cylindrical Shells-Based on the Transfer Matrix Method

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基于传递矩阵法的周期性圆柱壳体振动特性分析

doi: 10.21656/1000-0887.380090

作者简介: 鞠海燕（1978—），女，副教授，博士（通讯作者. E-mail: jhyhgw@qq.com);扶名福（1953—），男，教授，博士生导师（E-mail: fmfu@nit.edu.cn）.

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出版历程

Vibration Characteristics Analysis of Periodic Cylindrical Shells-Based on the Transfer Matrix Method

计量

出版历程

目录

作者简介:
鞠海燕（1978—），女，副教授，博士（通讯作者. E-mail: jhyhgw@qq.com);扶名福（1953—），男，教授，博士生导师（E-mail: fmfu@nit.edu.cn）.