功能梯度输流管的非线性自由振动分析

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振动与冲击 ›› 2018, Vol. 37 ›› Issue (14) : 195-201.

论文

功能梯度输流管的非线性自由振动分析

朱晨光徐思朋

作者信息 +

Nonlinear free vibration analysis of FG tubes conveying fluid

ZHU Chenguang,XU Sipeng

Author information +

文章历史 +

摘要

应用一个适用于管的高阶梁模型，分析并计算了功能梯度管在内流作用下的自由振动问题，该模型能够满足管内外表面剪应力为零的边界条件。基于该模型和哈密顿原理，得出了管道振动的控制方程。然后利用Galerkin方法将非线性偏微分控制方程离散，保留一阶振型，采用多尺度法得到了管道振动的自然频率和非线性频率的解析表达式。最后数值计算验证了方法的正确性，并且分析了内流流速、管厚和功能梯度参数等对管道振动频率的影响。

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.

导出引用

朱晨光徐思朋. 功能梯度输流管的非线性自由振动分析[J]. 振动与冲击, 2018, 37(14): 195-201

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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