Nonlinear free vibration analysis of FG tubes conveying fluid

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Journal of Vibration and Shock ›› 2018, Vol. 37 ›› Issue (14) : 195-201.

ZHU Chenguang,XU Sipeng

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Abstract

A higherorder beam model for tubes which can satisfy the shear stress boundary conditions on the inner and outer surfaces was applied to do the dynamic analysis of FG (functionally graded) tubes conveying fluid. By the model and according to the Hamilton’s principle, the governing equations were derived. By reserving the first order mode shape and using the multiscale method, the natural frequency and the nonlinear frequency were obtained. Numerical simulations justified the correctness of these results. Discussion on the relationship between the frequencies and the fluid’s velocity, the tube’s thickness, and the FG tube’s parameters were also performed.

Key words

functionally graded tubes / inner fluid / nonlinear vibration

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ZHU Chenguang,XU Sipeng. Nonlinear free vibration analysis of FG tubes conveying fluid[J]. Journal of Vibration and Shock, 2018, 37(14): 195-201

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