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

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

1.
广西工学院汽车工程系,广西柳州 545006;2.华中科技大学土木工程与力学学院,武汉 430074

基金项目: 国家自然科学基金资助项目(10662003);教育部博士点专项基金资助项目(20040787013)

详细信息

作者简介:
向宇(1963- ),男,重庆人,教授,博士(联系人.Tel/Fax:+86-772-2686519;E-mail:xiang-yu@126.com).

中图分类号: TU311
计量
- 文章访问数: 2877
- HTML全文浏览量: 100
- PDF下载量: 724
- 被引次数: 0
出版历程
- 收稿日期: 2008-04-23
- 修回日期: 2008-10-08
- 刊出日期: 2008-12-15

A New Matrix Method for Analyzing Vibration and Damping Effect of a Sandwich Circular Cylindrical Shell With a Viscoelastic Core

1.
Department of Automotive Engineering, Guangxi University of Technology, Liuzhou, Guangxi 545006, P. R. China;

摘要

摘要: 基于线弹性薄壳理论和线粘弹性理论，考虑粘弹性层的剪切耗能作用和各层间的相互作用力，导出了被动约束层阻尼层合圆柱壳在谐激励作用下的一阶常微分矩阵控制方程．然后，借助作者提出的齐次扩容精细积分技术建立了一种新的矩阵方法，并利用该方法研究了层合圆柱壳的振动特性和阻尼特性．该方法与已提出的以位移及其导数作为状态向量的传统传递矩阵法的根本区别在于，控制方程中的状态向量中包含了层合壳的全部位移和整合内力变量，因此，可以方便地适用于各种位移和内力边界条件以及部分环状覆盖约束层阻尼圆柱壳的动态分析．数值算例与解析解和有限元解的结果比较有力说明了该方法的正确性和有效性．
- 约束层阻尼 /
- 一阶矩阵微分方程 /
- 圆柱壳 /
- 精细积分法
Abstract: Based on the linear theories of thin cylindrical shells and viscoelastic materials,the governing equation describing vibration of a sandwich circular cylindrical shell with a viscoelastic core under harmonic excitation,which can be written in a matrix differential equation of first order,was derived by considering the energy dissipation due to the shear deformation of the viscoelastic core layer and the interaction between all layers.After that a new matrix method for solving this governing equation was established by means of the extended homogeneous capacity precision integration approach presented by authors.With these,the vibration characteristics and damping effect of the sandwich cylindrical shell can be studied.Its difference from the existing transfer matrix method is that the state vector in governing equation is composed of the displacements and internal forces of the sandwich shell rather than of the displacements and their derivatives.So the present method can be applied to solve the dynamic problems of the kind of sandwich shell with various boundary conditions and partially constrained layer damping.Numerical examples show that the proposed approach is very effective and reliable.
- constrained layer damping /
- matrix differential equation of first order /
- circular cylindrical shell /
- high precision direct integration

HTML全文

参考文献(22)

[1]	Ray M C, Oh J, Baz A. Active constrained layer damping of thin cylindrical shell[J].Journal of Sound and Vibration,2001, 240(5): 921-935. doi: 10.1006/jsvi.2000.3287
[2]	Masti R S, Sainsbury M G. Vibration damping of cylindrical shells partially coated with a constrained viscoelastic treatment having a standoff layer[J].Thin-Walled Structures,2005, 43(9):1355-1379. doi: 10.1016/j.tws.2005.06.007
[3]	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. doi: 10.1016/j.ijmecsci.2006.07.008
[4]	Krishna B V, Ganesan N. Studies on fluid-filled and submerged cylindrical shells with constrained viscoelastic layer[J].Journal of Sound and Vibration,2007, 303(3/5):575-595. doi: 10.1016/j.jsv.2007.01.009
[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.
[6]	Wang Horngjou, Chen Lienwen. Finite element dynamic analysis of orthotropic cylindrical shells with a constrained damping layer[J].Finite Elements in Analysis and Design,2004, 40(7):737-755. doi: 10.1016/S0168-874X(03)00112-4
[7]	Vasques C M A, Mace B R, Gardonio P,et al.Arbitrary active constrained layer damping treatments on beams: Finite element modelling and experimental validation[J].Computers and Structures,2006, 84(22/23):1384-1401. doi: 10.1016/j.compstruc.2006.01.035
[8]	Park C H, Baz A.Comparison between finite element formulations of active constrained layer damping using classical and layer-wise laminate theory[J].Finite Elements in Analysis and Design,2001, 37(1):35-56. doi: 10.1016/S0168-874X(00)00017-2
[9]	Ramesh T C, Ganesan N.Finite element analysis of conical shells with a constrained viscoelastic layer[J].Journal of Sound and Vibration,1994, 171(5):577-601. doi: 10.1006/jsvi.1994.1143
[10]	Ramesh T C, Ganesan N.Orthotropic cylindrical shells with viscoelastic core: a vibration and damping analysis[J].Journal of Sound and Vibration,1994, 175(4):535-555. doi: 10.1006/jsvi.1994.1344
[11]	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. doi: 10.1006/jsvi.1994.1180
[12]	章艺, 童宗鹏, 张志谊,等. 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.
[13]	申智春郑钢铁. 附加约束阻尼层的复合材料梁单元建模分析[J].振动工程学报,2006, 19(4):481-487.
[14]	田晓耕, 沈亚鹏, 张元冲. 主动约束层阻尼结构的数值分析方法[J].计算力学学报,1998, 15(4):421-428.
[15]	王淼, 方之楚. 主动约束层阻尼梁结构复杂耦合振动的多层谱有限元法[J].上海交通大学学报, 2005,39(1):87-90.
[16]	XIANG Yu, HUANG Yu-ying. A semi-analytical and semi-numerical method for solving 2-D sound-structure interaction problems[J].Acta Mechanica Solida Sinica, 2003,16(2):116-126.
[17]	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.
[18]	李恩奇, 雷勇军, 唐国金，等. 基于传递函数方法的约束层阻尼梁动力学分析[J].振动与冲击, 2007,26(2):75-78.
[19]	李恩奇, 李道奎, 唐国金，等. 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.
[20]	徐芝纶. 弹性力学(下册)[M]. 北京:人民教育出版社, 1982.
[21]	CHEN Lin-hung, HUANG Shyhchin. Vibrations of a cylindrical shell with partially constrained layer damping (CLD) treatment[J].International Journal of Mechanical Sciences,1999, 41(12):1485-1498. doi: 10.1016/S0020-7403(98)00102-7
[22]	Pan H H. Axisymmetrical vibrations of a circular sandwich shell with a viscoelastic core layer[J],J Sound and Vibration,1969,9(2): 338-348.

施引文献

资源附件(0)

访问统计

计量

文章访问数: 2877
HTML全文浏览量: 100
PDF下载量: 724
被引次数: 0

姓名
邮箱
手机号码
标题
留言内容
验证码

留言板

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

作者简介:
向宇(1963- ),男,重庆人,教授,博士(联系人.Tel/Fax:+86-772-2686519;E-mail:xiang-yu@126.com).

计量

A New Matrix Method for Analyzing Vibration and Damping Effect of a Sandwich Circular Cylindrical Shell With a Viscoelastic Core

计量

目录

留言板

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

作者简介: 向宇(1963- ),男,重庆人,教授,博士(联系人.Tel/Fax:+86-772-2686519;E-mail:xiang-yu@126.com).

计量

出版历程

A New Matrix Method for Analyzing Vibration and Damping Effect of a Sandwich Circular Cylindrical Shell With a Viscoelastic Core

计量

出版历程

目录

作者简介:
向宇(1963- ),男,重庆人,教授,博士(联系人.Tel/Fax:+86-772-2686519;E-mail:xiang-yu@126.com).