Fractional Dynamics of Fluid-Conveying Pipes Made of Polymer-Like Materials
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摘要:
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.