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Flexural vibration control of functionally graded poroelastic pipes via periodic piezoelectric design

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Abstract

In this paper, the flexural wave propagation and its control of a novel piezoelectric composite pipe conveying fluid are investigated. Dual piezoelectric layers used as sensor and actuator are periodically arranged on the pipe, and a feedback amplifying circuit is applied from sensor to actuator, forming a self-powered phononic crystal (PC) control structure. The vibration reduction performance can be actively tuned by adjusting the feedback control gain instead of conventional changing the construction of pipe itself. The pipe is composed of functionally graded material (FGM), in which the material properties vary continuously along the radial direction, and a poroelastic medium is introduced. By using the Timoshenko beam theory and Hamilton’s principle, a set of electromechanical coupling equations governing flexural vibration of the pipe is deduced. The band structure, band gap (BG) distribution and frequency response are presented by applying the spectral element technology. Comprehensive parametric studies are carried out. The results obtained validate the excellent vibration control effect of the proposed design, and further demonstrate the significant impacts of material, piezoelectric layers, feedback control and flowing fluid on the BG characteristics. This paper is expected to provide a technological reference for the vibration and elastic wave control of engineering composite pipe structures.

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Funding

This study was supported by the National Natural Science Foundation of China (Grant Nos. 12372025 and 12072311) and the Collegiate Innovation and Entrepreneurship Training Program of Jiangsu Province.

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Author notes

  1. Yu-Hao Ding, and Zhi-Qiang Chen have contributed equally to this work.

Authors and Affiliations

  1. College of Mechanical Engineering, Yangzhou University, Yangzhou, 225127, China

    Yu-Hao Ding, Zhi-Qiang Chen, Feng Liang, Hao Yu, Sheng-Can Lin & Jing Luo

  2. College of Design and Engineering, National University of Singapore, Singapore, 117578, Singapore

    Feng Liang & Heow-Pueh Lee

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  1. Yu-Hao Ding
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Correspondence to Feng Liang.

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Ding, YH., Chen, ZQ., Liang, F. et al. Flexural vibration control of functionally graded poroelastic pipes via periodic piezoelectric design. Acta Mech 235, 3131–3147 (2024). https://doi.org/10.1007/s00707-024-03879-1

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  • DOI: https://doi.org/10.1007/s00707-024-03879-1

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