Fractional Dynamics of Fluid-Conveying Pipes Made of Polymer-Like Materials
Fractional Dynamics of Fluid-Conveying Pipes Made of Polymer-Like Materials
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DOI：
10.1007/s10338-018-0007-9
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发表时间：
2018-03
影响因子：
2.2
通讯作者：
Ye Tang;Tianzhi Yang;B. Fang
中科院分区：
文献类型：
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作者：
Ye Tang;Tianzhi Yang;B. Fang
由类聚合物材料制成的输流管道在工程领域有着广泛的应用。然而，流固相互作用的分数动力学仍然是未知的。本文研究了支承基础激励下管道的分数阶动力特性。提出了一种新的非线性分数阶动态模型。对于主共振情况，直接采用多尺度法进行求解。数值结果显示了分数阶、地基振动和其他物理参数对稳态响应和稳定性的影响。
The fluid-conveying pipes made of polymer-like materials are widely applied in engineering fields. However, the fractional dynamics of fluid–solid interaction remain unknown. In this work, the fractional dynamics of the pipes subjected to the excitation of supporting foundation are studied. A new nonlinear, fractional-order dynamic model is presented. The method of multiple scales is adopted directly to solve the model for the case of primary resonances. Numerical results are presented to show the effects of fractional order, foundation vibration, and other physical parameters on the steady-state response and stability.