弹性边界约束旋转功能梯度圆柱壳结构自由振动行波特性分析

李文达; 杜敬涛; 杨铁军; 刘志刚

doi:10.3879/j.issn.1000-0887.2015.07.004

弹性边界约束旋转功能梯度圆柱壳结构自由振动行波特性分析

doi: 10.3879/j.issn.1000-0887.2015.07.004

哈尔滨工程大学动力与能源工程学院, 哈尔滨 150001

基金项目: 国家自然科学基金（11202056）

详细信息

作者简介:
李文达（1991—），女，湖北松滋人，硕士生(E-mail: liwenda199179@sina.com);杜敬涛（1981—），男，河北巨鹿人，副教授，博士，硕士生导师(通讯作者. Tel: +86-451-82589199-307; E-mail: dujingtao@hrbeu.edu.cn).

中图分类号: O327
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出版历程
- 收稿日期: 2015-01-26
- 修回日期: 2015-04-28
- 刊出日期: 2015-07-15

Traveling Wave Mode Characteristics of Rotating Functional Gradient Material Cylindrical Shell Structures With Elastic Boundary Constraints

College of Power and Energy Engineering, Harbin Engineering University, Harbin 150001, P.R.China

Funds: The National Natural Science Foundation of China(11202056)

摘要

摘要: 对旋转功能梯度圆柱壳自由振动行波特性及边界约束影响进行了分析研究.将功能梯度材料的物理特性表示成沿壳体厚度方向指数变化的函数，基于Love壳体理论，将圆柱壳3个方向的振动位移场采用改进Fourier(傅立叶)级数方法展开, 进而改善位移函数在边界位置求导连续性，结合旋转圆柱壳结构能量原理描述与RayleighRitz法，推导旋转功能梯度圆柱壳自由振动特征方程.通过将计算结果与现有文献结果对比验证了该文模型的正确性与收敛性.随后，通过算例讨论分析了功能梯度材料特性参数、几何参数、边界条件及约束弹簧刚度对旋转功能梯度圆柱壳自由振动行波振动特性的影响.结果表明：边界条件在环向波数n较小或长径比L/R较小的情况下对行波特性影响较为明显；随着厚径比H/R的增大，边界条件的影响逐渐减小；边界约束弹簧对行波特性影响程度取决于模态阶数情况；功能梯度材料特性参数对前后行波频率的影响随着模态序数的增大而逐渐增大.
- 旋转功能梯度圆柱壳 /
- 边界条件 /
- 行波特性 /
- 固有频率 /
- 自由振动
Abstract: The traveling wave mode characteristics of rotating functional gradient material (FGM) cylindrical shells in free vibration and the effects of elastic boundary constraints were analyzed, in which the physical properties of FGM were expressed as exponential functions varying along the thickness direction. Based on Love’s shell theory, the vibration displacements in the 3 directions were constructed in the form of modified Fourier series to improve the derivative continuity of displacement functions on each boundary. Then the energy description and Rayleigh-Ritz method were combined to formulate the eigen-equations of rotating FGM cylindrical shells. Comparison between the current results and those from other approaches in previous literatures was made to verify the correctness and convergence of the present method. Subsequently, the effects of FGM properties, geometric parameters, boundary conditions and constraint stiffnesses on the traveling wave mode characteristics of rotating FGM cylindrical shells were studied in detail. From the computed results, it is clear that the boundary conditions have significant effects on the traveling wave mode characteristics, especially when the circumferential wave number or the length-to-radius ratio L/R of a shell is relatively small; while the influence of boundary conditions decreases gradually with the thickness-to-radius ratio H/R.Additionally, the effects of boundary constraint stiffnesses on the traveling wave mode characteristics are greatly dependent on the mode order of a rotating FGM cylindrical shell, the influence of FGM properties on the traveling wave mode characteristics increases with the mode order.
- rotating FGM cylindrical shell /
- boundary condition /
- traveling wave mode characteristic /
- natural frequency /
- free vibration

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参考文献(11)

[1]	Lam K Y, Loy C T. Analysis of rotating laminated cylindrical shells by different thin shell theories[J].Journal of Sound and Vibration,1995,186(1): 23-35.
[2]	Lam K Y, WU Qian. Vibration of thick rotating laminated composite cylindrical shells[J].Journal of Sound and Vibration,1999,225(3): 483-501.
[3]	LI Hua, Lam K Y. Frequency characteristics of a thin rotating cylindrical shell using the generalized differential quadrature method[J].International Journal of Mechanical Sciences,1998,40(5): 443-459.
[4]	Zhang X M. Parametric analysis of frequency of rotating laminated composite cylindrical shells with the wave propagation approach[J].Computer Methods in Applied Mechanics and Engineering,2002,191(19/20): 2057-2071.
[5]	杜长城, 李映辉. 功能梯度薄壁圆柱壳的自由振动[J]. 动力学与控制学报, 2010,8(3):219-223.(DU Chang-cheng, LI Ying-hui. Free vibration of functionally graded cylindrical thin shell[J].Journal of Dynamics and Control,2010,8(3):219-223.(in Chinese))
[6]	梁斌, 李戎, 张伟, 徐红玉. 功能梯度材料圆柱壳的振动特性研究[J]. 船舶力学, 2011,〖STHZ〗15(1/2): 109-117.(LIANG Bin, LI Rong, ZHANG Wei, XU Hong-yu. Vibration characteristics of functionally graded materials cylindrical shells[J]. Journal of Ship Mechanics,2011,15(1/2): 109-117.(in Chinese))
[7]	Vel S S. Exact elasticity solution for the vibration of functionally graded anisotropic cylindrical shells[J]. Composite Structure,2010,92(11): 2712-2727.
[8]	Malekzadeh P, Heydarpour Y. Free vibration analysis of rotating functionally graded cylindrical shells in thermal environment[J]. Composite Structure,2012,94(9): 2971-2981.
[9]	Malekzadeh P, Heydarpour Y, Haghighi M R G,Vaghefi M. Transient response of rotating laminated functionally graded cylindrical shells in thermal environment[J]. International Journal of Pressure Vessels and Piping,2012,98: 43-56.
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[11]	项爽. 旋转功能梯度材料圆柱壳的振动特性研究[D]. 硕士学位论文. 郑州: 河南科技大学, 2013.(XIANG Shuang. Free vibration of rotating functionally graded cylindrical shells[D]. Master Thesis. Zhengzhou: University of Science and Technology of He’nan, 2013.(in Chinese))

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文章访问数: 1257
HTML全文浏览量: 139
PDF下载量: 841
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弹性边界约束旋转功能梯度圆柱壳结构自由振动行波特性分析

doi: 10.3879/j.issn.1000-0887.2015.07.004

作者简介:
李文达（1991—），女，湖北松滋人，硕士生(E-mail: liwenda199179@sina.com);杜敬涛（1981—），男，河北巨鹿人，副教授，博士，硕士生导师(通讯作者. Tel: +86-451-82589199-307; E-mail: dujingtao@hrbeu.edu.cn).

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Traveling Wave Mode Characteristics of Rotating Functional Gradient Material Cylindrical Shell Structures With Elastic Boundary Constraints

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留言板

弹性边界约束旋转功能梯度圆柱壳结构自由振动行波特性分析

doi: 10.3879/j.issn.1000-0887.2015.07.004

作者简介: 李文达（1991—），女，湖北松滋人，硕士生(E-mail: liwenda199179@sina.com);杜敬涛（1981—），男，河北巨鹿人，副教授，博士，硕士生导师(通讯作者. Tel: +86-451-82589199-307; E-mail: dujingtao@hrbeu.edu.cn).

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出版历程

Traveling Wave Mode Characteristics of Rotating Functional Gradient Material Cylindrical Shell Structures With Elastic Boundary Constraints

计量

出版历程

目录

作者简介:
李文达（1991—），女，湖北松滋人，硕士生(E-mail: liwenda199179@sina.com);杜敬涛（1981—），男，河北巨鹿人，副教授，博士，硕士生导师(通讯作者. Tel: +86-451-82589199-307; E-mail: dujingtao@hrbeu.edu.cn).