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

LI Wen-da; DU Jing-tao; YANG Tie-jun; LIU Zhi-gang

doi:10.3879/j.issn.1000-0887.2015.07.004

Volume 36 Issue 7

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LI Wen-da, DU Jing-tao, YANG Tie-jun, LIU Zhi-gang. Traveling Wave Mode Characteristics of Rotating Functional Gradient Material Cylindrical Shell Structures With Elastic Boundary Constraints[J]. Applied Mathematics and Mechanics, 2015, 36(7): 710-724. doi: 10.3879/j.issn.1000-0887.2015.07.004

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

doi: 10.3879/j.issn.1000-0887.2015.07.004

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

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

Received Date: 2015-01-26
Rev Recd Date: 2015-04-28
Publish Date: 2015-07-15

Abstract

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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References(11)

References

[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.
[10]	Loy C T, Lam K Y, Reddy J N. Vibration of functionally graded cylindrical shells[J].International Journal of Mechanical Sciences,1999,41(3): 309-324.
[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))