Nonlinear forced vibration and synchronization behavior of pipe-in-pipe system

IF 7.1 1区工程技术 Q1 ENGINEERING, MECHANICAL

International Journal of Mechanical Sciences Pub Date : 2025-02-22 DOI:10.1016/j.ijmecsci.2025.110089

Jinming Fan, Yinghui Li, Jie Yang

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Abstract

In this paper, the nonlinear forced vibration of a fluid-conveying pipe-in-pipe (PIP) system is studied. The dynamic model of PIP system considering geometric nonlinearity and insulation nonlinearity is presented. The Galerkin method, Runge-Kutta method and pseudo-circular arc extension technique are employed to solve the equations. The effects of flow velocity, linear stiffness, nonlinear stiffness, and other factors on the buckling path, frequency and response are studied. The focus of the research is on the synchronization behavior of the inner and outer pipes, including the synchronization of dynamic characteristics and the synchronization of vibration directions. The results show that the PIP system exhibits single-frequency periodic or quasi-periodic motions, and the bifurcations on the inner and outer pipes are synchronous. The synchronization of vibration direction is divided into forward and reverse synchronization vibration, and their ranges and the conversion mechanism are discussed. Additionally, cases are identified where the first-order resonance peak covers or partially covers the second-order resonance peak. In addition, the multi-valued intervals are analyzed, and the formation mechanisms of single-valued areas, double-valued areas, and triple-valued areas are classified. This study reveals some important characteristics of the PIP system, which are of great significance for the design and further research of such systems.

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来源期刊

International Journal of Mechanical Sciences 工程技术-工程：机械

CiteScore

12.80

自引率

17.80%

发文量

769

审稿时长

19 days

期刊介绍： The International Journal of Mechanical Sciences (IJMS) serves as a global platform for the publication and dissemination of original research that contributes to a deeper scientific understanding of the fundamental disciplines within mechanical, civil, and material engineering. The primary focus of IJMS is to showcase innovative and ground-breaking work that utilizes analytical and computational modeling techniques, such as Finite Element Method (FEM), Boundary Element Method (BEM), and mesh-free methods, among others. These modeling methods are applied to diverse fields including rigid-body mechanics (e.g., dynamics, vibration, stability), structural mechanics, metal forming, advanced materials (e.g., metals, composites, cellular, smart) behavior and applications, impact mechanics, strain localization, and other nonlinear effects (e.g., large deflections, plasticity, fracture). Additionally, IJMS covers the realms of fluid mechanics (both external and internal flows), tribology, thermodynamics, and materials processing. These subjects collectively form the core of the journal's content. In summary, IJMS provides a prestigious platform for researchers to present their original contributions, shedding light on analytical and computational modeling methods in various areas of mechanical engineering, as well as exploring the behavior and application of advanced materials, fluid mechanics, thermodynamics, and materials processing.