## 留言板

 引用本文: 鞠海燕, 扶名福, 徐斌. 基于传递矩阵法的周期性圆柱壳体振动特性分析[J]. 应用数学和力学, 2018, 39(3): 278-285.
JU Haiyan, FU Mingfu, XU Bin. Vibration Characteristics Analysis of Periodic Cylindrical Shells-Based on the Transfer Matrix Method[J]. Applied Mathematics and Mechanics, 2018, 39(3): 278-285. doi: 10.21656/1000-0887.380090
 Citation: JU Haiyan, FU Mingfu, XU Bin. Vibration Characteristics Analysis of Periodic Cylindrical Shells-Based on the Transfer Matrix Method[J]. Applied Mathematics and Mechanics, 2018, 39(3): 278-285.

• 中图分类号: O327

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

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

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