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Structural Engineering and Mechanics Volume 86, Number 6, June25 2023 , pages 751-764 DOI: https://doi.org/10.12989/sem.2023.86.6.751 |
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Effect of boundary mobility on nonlinear pulsatile-flow induced dynamic instability of FG pipes |
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Zhoumi Wang, Yiru Ren and Qingchun Meng
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| Abstract | ||
| In practical engineering such as aerial refueling pipes, the boundary of the fluid-conveying pipe is difficult to be completely immovable. Pipes under movable and immovable boundaries are controlled by different dominant nonlinear factors, where the boundary mobility will affect the nonlinear dynamic characteristics, which should be focused on for adopting different strategies for vibration suppression and control. The nonlinear dynamic instability characteristics of functionally graded fluidconveying pipes lying on a viscoelastic foundation under movable and immovable boundary conditions are systematically studied for the first time. Nonlinear factors involving nonlinear inertia and nonlinear curvature for pipes with a movable boundary as well as tensile hardening and nonlinear curvature for pipes with an immovable boundary are comprehensively considered during the derivation of the governing equations of the principal parametric resonance. The stability boundary and amplitude-frequency bifurcation diagrams are obtained by employing the two-step perturbation- incremental harmonic balance method (TSP-IHBM). Results show that the movability of the boundary of the pipe has a great influence on the vibration amplitude, bifurcation topology, and the physical meanings of the stability boundary due to different dominant nonlinear factors. This research has guidance significance for nonlinear dynamic design of fluid-conveying pipe with avoiding in the instability regions. | ||
| Key Words | ||
| boundary mobility; curvature nonlinearity; dynamic instability; inertia nonlinearity; perturbation-incremental harmonic balance method; tensile hardening nonlinearity | ||
| Address | ||
| Zhoumi Wang: School of Aeronautics Science and Engineering, Beihang University, Beijing 100191, China Yiru Ren: State Key Laboratory of Advanced Design and Manufacturing for Vehicle Body, Hunan University, Changsha, Hunan 410082, China Qingchun Meng: School of Aeronautics Science and Engineering, Beihang University, Beijing 100191, China | ||