## 留言板

 引用本文: 曹雄涛, 张志谊, 华宏星. 约束层阻尼圆柱壳的自由振动[J]. 应用数学和力学, 2011, 32(4): 470-482.
CAO Xiong-tao, ZHANG Zhi-yi, HUA Hong-xing. Free Vibration of Circular Cylindrical Shell With Constrained Layer Damping[J]. Applied Mathematics and Mechanics, 2011, 32(4): 470-482. doi: 10.3879/j.issn.1000-0887.2011.04.009
 Citation: CAO Xiong-tao, ZHANG Zhi-yi, HUA Hong-xing. Free Vibration of Circular Cylindrical Shell With Constrained Layer Damping[J]. Applied Mathematics and Mechanics, 2011, 32(4): 470-482.

• 中图分类号: O326

## Free Vibration of Circular Cylindrical Shell With Constrained Layer Damping

• 摘要: 给出了被动约束层阻尼圆柱壳(PCLD)的自由振动特性．波传播法被用来求解两端简支的PCLD圆柱壳的振动，而不是用有限元法、传递矩阵法和Rayleigh-Ritz法．基于Sanders薄壳理论，导出了PCLD正交各向异性圆柱壳的控制方程．数值结果表明当前的方法要比目前其它方法有效．讨论了粘弹性层和约束层的厚度，正交各向异性约束层的弹性模量比率和粘弹性层的复剪切模量对频率参数和损失因子的影响．
•  [1] Plunkett R, Lee C T. Length optimization of constrained viscoelastic layer damping[J]. Journal of the Acoustical Society of America, 1970, 48(1):150-161. [2] Mead D J, Markus S. The forced vibration of a three-layer, damped sandwich beam with arbitrary boundary conditions[J]. Journal of Sound and Vibration, 1969, 10(2):163-175. [3] Rao D K. Frequency and loss factors of sandwich beams under various boundary conditions[J]. International Journal of Mechanical Engineering Science, 1978, 20(5):271-282. [4] Zheng H, Tan X M, Cai C. Damping analysis of beams covered with multiple PCLD patches[J]. International Journal of Mechanical Sciences, 2006, 48(12):1371-1383. [5] 高坚新，沈亚鹏, 主被动阻尼层合板结构的自由振动和阻尼特性分析[J]. 应用数学和力学, 1999, 20(10): 1004-1014. (GAO Jian-xin, SHEN Ya-peng. Vibration and damping analysis of a composite plate with active and passive damping layer[J]. Applied Mathematics and Mechanics(English Edition), 1999, 20(10):1075-1086.) [6] Chen Y C, Huang S C. An optimal placement of CLD treatment for vibration suppression of plates[J]. International Journal of Mechanical Sciences, 2002, 44(8):1801-1821. [7] Liu L J, Zhang Z Y, Hua H X. Dynamic characteristics of rotating cantilever plates with active constrained layer damping treatments[J]. Smart Materials and Structures, 2007, 16(5):1849-1856. [8] Ramesh T C, Ganesan N. Vibration and damping analysis of cylindrical shells with a constrained damping layer[J]. Computers and Structures, 1993, 46(4):751-758. [9] Ramesh T C, Ganesan N. Finite element analysis of cylindrical shells with a constrained viscoelastic layer[J]. Journal of Sound and Vibration, 1994, 172(3):359-370. [10] Oh J, Ruzzene M, Baz A. Passive control of the vibration and sound radiation from submerged shells[J]. Journal of Vibration and Control, 2002, 8(4):425-449. [11] Ray M C, Oh J, Baz A. Active constrained layer damping of thin cylindrical shells[J]. Journal of Sound and Vibration, 2001, 240(5):921-935. [12] Laplante W, Chen T H, Baz A, Shields W. Active control of vibration and noise radiation from fluid-loaded cylinder using active constrained layer damping[J]. Journal of Vibration and Control, 2002, 8(6):877-902. [13] Ray M C, Reddy J N. Optimal control of thin circular cylindrical laminated composite shells using active constrained layer damping treatment[J]. Smart Materials and Structures, 2004, 13(1):64-72. [14] 章艺, 童宗鹏, 张志谊, 华宏星. 充液压电阻尼圆柱壳的有限元建模[J]. 振动工程学报, 2006, 19(1): 24-30. (ZHANG Yi, TONG Zong-peng, ZHANG Zhi-yi, HUA Hong-xing. Finite element modeling of a fluid-filled cylindrical shell with piezoelectric damping[J]. Journal of Vibration Engineering, 2006, 19(1):24-30.(in Chinese)) [15] EI-Raheb M, Wagner P. Damped response of shells by a constrained viscoelastic layer[J]. Journal of Applied Mechanics, 1986, 53(4): 902-908. [16] 向宇, 黄玉盈, 陆静, 袁丽芸，邹时智. 被动约束层阻尼圆柱壳振动和阻尼分析的一种新矩阵方法[J]. 应用数学和力学, 2008, 29(12): 1443-1456. (XIANG Yu, HUANG Yu-ying, LU Jing, YUAN Li-yun, ZOU Shi-zhi. New matrix method for analyzing vibration and damping effect of sandwich circular cylindrical shell with viscoelastic core[J]. Applied Mathematics and Mechanics (English Edition), 2008, 29(12):1587-1600.) [17] 李恩奇, 李道奎, 唐国金, 雷勇军. 基于传递函数方法的局部覆盖环状CLD圆柱壳动力学分析[J]. 航空学报, 2007, 28(6): 1487-1493. (LI En-qi, LI Dao-kui, TANG Guo-jin, LEI Yong-jun. Dynamic analysis of cylindrical shell with partially covered ring-shape constrained layer damping by the transfer function method[J]. Acta Aeronautica et Astronautica Sinica, 2007, 28(6):1487-1493.(in Chinese)) [18] 向宇, 黄玉盈, 陆静, 袁丽芸. 部分覆盖PCLD圆柱壳振动分析的新矩阵方法[J]. 振动工程学报, 2009, 22(2): 175-182. (XIANG Yu, HUANG Yu-ying, LU Jing, YUAN Li-yun. A matrix method for analyzing vibration of a circular cylindrical shell with partially constrained layer damping treatment[J]. Journal of Vibration Engineering, 2009, 22(2):175-182.(in Chinese)) [19] Yuan L Y, Xiang Y, Huang Y Y, Lu J. A semi-analytical method and the circumferential dominant modal control of circular cylindrical shells with active constrained layer damping treatment[J]. Smart Materials and Structures, 2010, 19(2):1-14. [20] Cheng L H, Huang S C. Vibrations of a cylindrical shell with partially constrained layer damping(CLD) treatment[J]. International Journal of Mechanical Sciences, 1999, 41(12):1485-1498. [21] Pan H H. Axisymmetrical vibrations of a circular sandwich shell with a viscoelastic core layer[J]. Journal of Sound and Vibration, 1969, 9(2):338-348. [22] Baz A, Chen T. Control of axi-symmetric vibrations of cylindrical shells using active constrained layer damping[J]. Thin-Walled Structures, 2000, 36(1):1-20. [23] 王淼, 方之楚. 主动约束层阻尼部分覆盖圆柱壳耦合振动控制[J]. 应用力学学报, 2005, 22(4): 545-549. (WANG Miao, FANG Zhi-chu. Coupled vibration control of cylindrical shells partially treated with active constrained layer damping[J]. Chinese Journal of Applied Mechanics, 2005, 22(4):545-549.(in Chinese)) [24] Sanders J L. An improved first-approximation theory for thin shells[R]. NASA Technical report R-24, 1959: 1-11. [25] Zhang X M. Frequency analysis of submerged cylindrical shells with the wave propagation approach[J]. International Journal of Mechanical Sciences, 2002, 44(7):1259-1273.

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##### 出版历程
• 收稿日期:  2010-08-23
• 修回日期:  2011-02-22
• 刊出日期:  2011-04-15

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