Applied Mathematics and Mechanics (English Edition) ›› 2023, Vol. 44 ›› Issue (6): 877-896.doi: https://doi.org/10.1007/s10483-023-3008-7

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A novel way for vibration control of FGM fluid-conveying pipes via NiTiNOL-steel wire rope

Jian ZANG1, Ronghuan XIAO1, Yewei ZHANG1, Liqun CHEN2   

  1. 1. College of Aerospace Engineering, Shenyang Aerospace University, Shenyang 110136, China;
    2. Shanghai Institute of Applied Mathematics and Mechanics, School of Mechanics and Engineering Science, Shanghai University, Shanghai 200444, China
  • Received:2022-12-30 Revised:2023-03-10 Online:2023-06-01 Published:2023-05-29
  • Contact: Yewei ZHANG, E-mail: zhangyewei1218@126.com
  • Supported by:
    the National Natural Science Foundation of China (Nos. 12272240 and 12022213)

Abstract: In this study, a coupling model of fluid-conveying pipes made of functionally graded materials (FGMs) with NiTiNOL-steel (NiTi-ST) for vibration absorption is investigated. The vibration responses of the FGM fluid-conveying pipe with NiTi-ST are studied by the Galerkin truncation method (GTM) and harmonic balance method (HBM). The harmonic balance solutions and the numerical results are consistent. Also, the linearized stability of the structure is determined. The effects of the structure parameters on the absorption performance are also studied. The results show that the NiTi-ST is an effective means of vibration absorption. Furthermore, in studying the effect of the NiTi-ST, a closed detached response (CDR) is first observed. It is noteworthy that the CDR may dramatically change the vibration amplitude and that the parameters of the NiTi-ST may determine the emergence or disappearance of the CDR. This vibration absorption device can be extended to offer more general vibration control in engineering applications.

Key words: NiTiNOL-steel (NiTi-ST), functionally graded material (FGM) fluid-conveying pipe, vibration absorption, harmonic balance method (HBM), closed detached response (CDR)

2010 MSC Number: 

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