 | | Mechanics of Solids
A Journal of Russian Academy of Sciences | | Founded
in January 1966
Issued 6 times a year
Print ISSN 0025-6544
Online ISSN 1934-7936 |
Archive of Issues
| Total articles in the database: | | 13362 |
| In Russian (Èçâ. ÐÀÍ. ÌÒÒ): | | 8178
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| In English (Mech. Solids): | | 5184 |
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| Shuo Liu, Zhiyu Shi, Feiyang He, Pengfei Jin, Jinyan Li, Zheng Yang, and Xujun Peng, "Low-Frequency Vibration Attenuation in Locally Resonant Double-Layered Pipe Structures," Mech. Solids. 60 (5), 3965-3992 (2025) |
| Year |
2025 |
Volume |
60 |
Number |
5 |
Pages |
3965-3992 |
| DOI |
10.1134/S0025654425602307 |
| Title |
Low-Frequency Vibration Attenuation in Locally Resonant Double-Layered Pipe Structures |
| Author(s) |
Shuo Liu (State Key Laboratory of Mechanics and Control of Mechanical Structures, Nanjing University of Aeronautics and Astronautics, Nanjing, Jiangsu, 210016 China, sx2301021@nuaa.edu.cn)
Zhiyu Shi (State Key Laboratory of Mechanics and Control of Mechanical Structures, Nanjing University of Aeronautics and Astronautics, Nanjing, Jiangsu, 210016 China, zyshi@nuaa.edu.cn)
Feiyang He (School of Naval Architecture and Ocean Engineering, Jiangsu University of Science and Technology, Zhenjiang, Jiangsu, 212100 China, hfy@just.edu.c)
Pengfei Jin (State Key Laboratory of Mechanics and Control of Mechanical Structures, Nanjing University of Aeronautics and Astronautics, Nanjing, Jiangsu, 210016 China, pf_jin@nuaa.edu.cn)
Jinyan Li (State Key Laboratory of Mechanics and Control of Mechanical Structures, Nanjing University of Aeronautics and Astronautics, Nanjing, Jiangsu, 210016 China, lijinyan1688@163.com)
Zheng Yang (State Key Laboratory of Mechanics and Control of Mechanical Structures, Nanjing University of Aeronautics and Astronautics, Nanjing, Jiangsu, 210016 China, yangzheng@nuaa.edu.cn)
Xujun Peng (State Key Laboratory of Mechanics and Control of Mechanical Structures, Nanjing University of Aeronautics and Astronautics, Nanjing, Jiangsu, 210016 China, 1713510020@qq.com) |
| Abstract |
Low-frequency vibration in fluid-conveying pipes remains a critical challenge in engineering applications. To address this issue, this paper designs a locally resonant double-layered pipe (LR-DLP) structure constructed by periodically inserting cylindrical ring units between two concentric
pipes with different diameters. The proposed cylindrical ring unit incorporates a triple-layered cylindrical ring comprising an outer rubber layer, a middle metal layer, and an inner rubber layer. For torsional vibration analysis, a double-layered shaft torsional equivalent model (DLS-TEM) is established
by equivalently representing cylindrical rings as a torsional spring-inertial disk-torsional spring system.
While a double layered beam bending equivalent model (DLB-BEM) with radial spring-mass-radial
spring system is established for bending vibration analysis. The differential equation governing bending
vibration of fluid-conveying pipes are derived based on Hamilton’s variational principle. The Transfer
Matrix Method (TMM) and Plane Wave Expansion (PWE) method are further developed for characterizing both torsional and flexural bandgaps in the LR-DLP structure, with particular emphasis on
the flexural wave attenuation performance under fluid-conveying conditions within the inner pipe.
Finite element numerical simulations are systematically performed in COMSOL Multiphysics for the
finite-periodic locally resonant double-layered pipe (LR-DLP) structure. The results demonstrate
excellent agreement with theoretical analysis in both torsional and flexural bandgap characteristics.
Parametric studies reveal the influence of structural dimensions properties on bandgap characteristics, demonstrating the effectiveness of the proposed design in suppressing low-frequency vibrations. |
| Keywords |
local resonance, double-layered pipe structure, fluid-structure interaction, low-frequency bandgap |
| Received |
08 May 2025 | Revised |
08 July 2025 | Accepted |
09 July 2025 |
| Link to Fulltext |
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