夹层圆柱壳在移动内压作用下的临界速度研究

周加喜; 邓子辰; 侯秀慧

夹层圆柱壳在移动内压作用下的临界速度研究

1.
西北工业大学工程力学系,西安 710072;2.大连理工大学工业装备结构分析国家重点实验室,大连 116024

基金项目: 国家基础研究计划973资助项目(2006CB601202);大连理工大学工业装备结构分析国家重点实验室开放基金资助项目(GZ0701)

详细信息

作者简介:
周加喜(1983- ),男,湖南汉寿人,博士生(E-mail:jxizhou@gmail.com);邓子辰,教授,博士生导师(联系人.E-mail:dweifan@nwpu.edu.cn).

中图分类号: O347.4
计量
- 文章访问数: 3161
- HTML全文浏览量: 102
- PDF下载量: 703
- 被引次数: 0
出版历程
- 收稿日期: 2008-06-23
- 修回日期: 2008-10-24
- 刊出日期: 2008-12-15

On the Critical Velocity of the Sandwich Cylindrical Shell to Moving Internal Pressure

1.
Department of Engineering Mechanics, Northwestern Polythechnical University, Xi'an 710072, P. R. China;

摘要

摘要: 基于夹层壳理论和三维弹性动力学理论，研究了无限长夹层圆柱壳在移动内压作用下的临界速度．首先，基于夹层壳理论，考虑夹芯的压缩和剪切变形以及面板的剪切变形，研究了轴对称简谐波在无限长夹层圆柱壳中的传播问题；其次，基于三维弹性动力学理论，将位移变量用Legendre正交多项式系表示，同时引入位置相关函数，将求解导波问题化为简单的特征值问题．利用这两种方法得到了最低模态的频散曲线，最小相速便是内压移动的临界速度．最后，用算例和数值模拟来验证方法的有效性．结果表明，两种理论得到临界速度吻合得较好；当波数较小时，两种理论得到的频散曲线吻合得很好，当k→∞时，夹层壳理论和弹性动力学理论得到的极限相速分别趋于面板和夹芯的剪切波波速．波数较小时，两种理论分析夹层圆柱壳的导波问题是有效的．数值模拟预测的临界速度与理论分析的结果吻合得很好．
- 夹层圆柱壳 /
- 临界速度 /
- 夹层壳理论 /
- 弹性动力学 /
- Legendre正交多项式
Abstract: The critical velocity of the infinite long sandwich shell to moving internal pressure is studied using sandwich shell theory and elastodynamics theory.Firstly the propagation of axisymmetric free harmonic waves in the sandwich shell was studied using sandwich shell theory considering the compressibility of core and the transverse shear deformation of core and face sheets.Secondly on the basis of elastodynamics theory,the displacement components expanded by Legendre polynomials,as well as position-dependent elastic constants and densities were introduced into the equations of motion.The critical velocity is the minimum phase velocity on the desperation relation curve obtained using the two methods.Finally the numerical ex amples and FE simulations were executed.Results show that the tow critical velocities agree well with each other,and two desperation relation curves agree well with each other when wave number k is relatively small;however two limit phase velocities approach the shear wave velocities of the face sheet and the core respectively when k limits to infinite.The two methods are efficient to investigate wave propagation in the sandwich cylindrical shell,when k is relatively small.The critical velocity predicted by FE simulations agrees well with that predicted by theoretical analysis.
- sandwich cylindrical shell /
- critical velocity /
- sandwich shell theory /
- elastodynamics /
- Legendre polynomial

HTML全文

参考文献(12)

[1]	Beltman W M, Shepherd J E.Linear elastic response of tubes to internal detonation loading[J].Journal of Sound and Vibration,2002, 252(4):617-655. doi: 10.1006/jsvi.2001.4039
[2]	Simkins T E. Amplification of flexural waves in gun tubes[J].Journal of Sound and Vibration,1994, 172(2):145-154. doi: 10.1006/jsvi.1994.1166
[3]	Han X, Liu G R, Xi Z C, et al.Characteristics of waves in a functionally graded cylinder[J].International Journal for Numerical Methods in Engineering,2002,53(3):653-676. doi: 10.1002/nme.305
[4]	Gazis D C. Three-dimensional investigation of the propagation of waves in hollow circular cylinder Ⅰ: analytical foundation[J].Journal of the Acoustical Society of America,1959,31(5):568-573. doi: 10.1121/1.1907753
[5]	Mirsky I. Axisymmetric vibrations of orthotropic cylinders[J].Journal of the Acoustical Society of America,1964,36(11):2106-2112. doi: 10.1121/1.1919329
[6]	Markus S, Mead D J. Axisymmetric and asymmetric wave motion in orhtotropic cylinders[J].Journal of Sound and Vibration,1995,181(1):127-147. doi: 10.1006/jsvi.1995.0130
[7]	Mirsky I. Vibration of orthotropic, thick, cylindrical shells[J].Journal of the Acoustical Society of America,1964,36(1):41-51. doi: 10.1121/1.1918910
[8]	Elmaimouni L,Lefebvre J E,Zhang V,et al.A polynomial approach to the analysis of guided waves in anisotropic cylinders of infinite length[J].Wave Motion,2005,42(2):177-189. doi: 10.1016/j.wavemoti.2005.01.005
[9]	Elmaimouni L,Lefebvre J E,Zhang V,et al.Guided waves in radially graded cylinders:a polynomial approach[J].NDT & E International,2005,38(5):344-353.
[10]	Markus S, Mead D J.Wave motion in a three-layered, othotropic isotropic orthotropic, composite shell[J].Journal of Sound and Vibration,1995,181(1):149-167. doi: 10.1006/jsvi.1995.0131
[11]	Kim Y, Hunt W D.Acoustic fields and velocities for surface-acoustic-wave propagation in multilayered structures: an extension of the laguerre polynomial approach[J].Journal of Applied Physics,1990,68(10):4993-4997. doi: 10.1063/1.347086
[12]	周加喜,邓子辰. 类桁架夹层板的等效弹性常数研究[J].固体力学学报, 2008,29(2):187-192.

施引文献

资源附件(0)

访问统计

计量

文章访问数: 3161
HTML全文浏览量: 102
PDF下载量: 703
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

夹层圆柱壳在移动内压作用下的临界速度研究

作者简介:
周加喜(1983- ),男,湖南汉寿人,博士生(E-mail:jxizhou@gmail.com);邓子辰,教授,博士生导师(联系人.E-mail:dweifan@nwpu.edu.cn).

计量

On the Critical Velocity of the Sandwich Cylindrical Shell to Moving Internal Pressure

计量

目录

留言板

夹层圆柱壳在移动内压作用下的临界速度研究

作者简介: 周加喜(1983- ),男,湖南汉寿人,博士生(E-mail:jxizhou@gmail.com);邓子辰,教授,博士生导师(联系人.E-mail:dweifan@nwpu.edu.cn).

计量

出版历程

On the Critical Velocity of the Sandwich Cylindrical Shell to Moving Internal Pressure

计量

出版历程

目录

作者简介:
周加喜(1983- ),男,湖南汉寿人,博士生(E-mail:jxizhou@gmail.com);邓子辰,教授,博士生导师(联系人.E-mail:dweifan@nwpu.edu.cn).