Nonlinear forced vibration in a subcritical regime of a porous functionally graded pipe conveying fluid with a retaining clip  

作　　者：M.GHOLAMI M.EFTEKHARI 

机构地区：[1]Department of Mechanical Engineering,Shahid Bahonar University of Kerman,Kerman 4545,Iran

出　　处：《Applied Mathematics and Mechanics(English Edition)》2025年第1期101-122,共22页应用数学和力学(英文版)

摘　　要：This study examines the nonlinear behaviors of a clamped-clamped porous pipe made of a functionally graded material(FGM)that conveys fluids and is equipped with a retaining clip,focusing on primary resonance and subcritical dynamics.The nonlinear governing equations for the FGM pipe are derived by the extended Hamilton's principle,and subsequently discretized through the application of the Galerkin method.The direct method of multi-scales is then used to solve the derived equations.A thorough analysis of various parameters,including the clip stiffness,the power-law index,the porosity,and the clip location,is conducted to gain a comprehensive understanding of the system's nonlinear dynamics.Through the analysis of the first natural frequency,the study highlights the influence of the flow velocity and the clip stiffness,while the comparisons with metallic pipes emphasize the role of FGM composition.The examination of the forced response curves reveals saddle-node bifurcations and their dependence on parameters such as the detuning parameter and the power-law index,offering valuable insights into the system's nonlinear resonant behavior.Furthermore,the frequency-response curves illustrate the hardening nonlinearities influenced by factors such as the porosity and the clip stiffness,revealing nuanced effects on the system response and resonance characteristics.This comprehensive analysis enhances the understanding of nonlinear behaviors in FGM porous pipes with a retaining clip,providing key insights for practical engineering applications in system design and optimization.

关 键 词：functionally graded material(FGM)pipe conveying fuid retaining clip porosity primary resonance subcritical regime 

分 类 号：O175.2[理学—数学]