Phononic Band Gap and Free Vibration Analysis of Fluid-Conveying Pipes with Periodically Varying Cross-Section

Phononic crystals (PCs) are a novel class of artificial periodic structure, and their band gap (BG) attributes provide a new technical approach for vibration reduction in piping systems. In this paper, the vibration suppression performance and natural properties of fluid-conveying pipes with periodi...

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Autores principales: Hao Yu, Feng Liang, Yu Qian, Junjie Gong, Yao Chen, An Gao
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Lenguaje:EN
Publicado: MDPI AG 2021
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spelling oai:doaj.org-article:61696befdd9d4cafa6250fbf4381892a2021-11-11T15:25:22ZPhononic Band Gap and Free Vibration Analysis of Fluid-Conveying Pipes with Periodically Varying Cross-Section10.3390/app1121104852076-3417https://doaj.org/article/61696befdd9d4cafa6250fbf4381892a2021-11-01T00:00:00Zhttps://www.mdpi.com/2076-3417/11/21/10485https://doaj.org/toc/2076-3417Phononic crystals (PCs) are a novel class of artificial periodic structure, and their band gap (BG) attributes provide a new technical approach for vibration reduction in piping systems. In this paper, the vibration suppression performance and natural properties of fluid-conveying pipes with periodically varying cross-section are investigated. The flexural wave equation of substructure pipes is established based on the classical beam model and traveling wave property. The spectral element method (SEM) is developed for semi-analytical solutions, the accuracy of which is confirmed by comparison with the available literature and the widely used transfer matrix method (TMM). The BG distribution and frequency response of the periodic pipe are attained, and the natural frequencies and mode shapes are also obtained. The effects of some critical parameters are discussed. It is revealed that the BG of the present pipe system is fundamentally induced by the geometrical difference of the substructure cross-section, and it is also related to the substructure length and fluid–structure interaction (FSI). The number of cells does not contribute to the BG region, while it has significant effects on the amplitude attenuation, higher order natural frequencies and mode shapes. The impact of FSI is more evident for the pipes with smaller numbers of cells. Moreover, compared with the conventional TMM, the present SEM is demonstrated more effective for comprehensive analysis of BG characteristics and free vibration of PC dynamical structures.Hao YuFeng LiangYu QianJunjie GongYao ChenAn GaoMDPI AGarticleperiodic structurefluid-conveying pipeband gapfree vibrationspectral element methodTechnologyTEngineering (General). Civil engineering (General)TA1-2040Biology (General)QH301-705.5PhysicsQC1-999ChemistryQD1-999ENApplied Sciences, Vol 11, Iss 10485, p 10485 (2021)
institution DOAJ
collection DOAJ
language EN
topic periodic structure
fluid-conveying pipe
band gap
free vibration
spectral element method
Technology
T
Engineering (General). Civil engineering (General)
TA1-2040
Biology (General)
QH301-705.5
Physics
QC1-999
Chemistry
QD1-999
spellingShingle periodic structure
fluid-conveying pipe
band gap
free vibration
spectral element method
Technology
T
Engineering (General). Civil engineering (General)
TA1-2040
Biology (General)
QH301-705.5
Physics
QC1-999
Chemistry
QD1-999
Hao Yu
Feng Liang
Yu Qian
Junjie Gong
Yao Chen
An Gao
Phononic Band Gap and Free Vibration Analysis of Fluid-Conveying Pipes with Periodically Varying Cross-Section
description Phononic crystals (PCs) are a novel class of artificial periodic structure, and their band gap (BG) attributes provide a new technical approach for vibration reduction in piping systems. In this paper, the vibration suppression performance and natural properties of fluid-conveying pipes with periodically varying cross-section are investigated. The flexural wave equation of substructure pipes is established based on the classical beam model and traveling wave property. The spectral element method (SEM) is developed for semi-analytical solutions, the accuracy of which is confirmed by comparison with the available literature and the widely used transfer matrix method (TMM). The BG distribution and frequency response of the periodic pipe are attained, and the natural frequencies and mode shapes are also obtained. The effects of some critical parameters are discussed. It is revealed that the BG of the present pipe system is fundamentally induced by the geometrical difference of the substructure cross-section, and it is also related to the substructure length and fluid–structure interaction (FSI). The number of cells does not contribute to the BG region, while it has significant effects on the amplitude attenuation, higher order natural frequencies and mode shapes. The impact of FSI is more evident for the pipes with smaller numbers of cells. Moreover, compared with the conventional TMM, the present SEM is demonstrated more effective for comprehensive analysis of BG characteristics and free vibration of PC dynamical structures.
format article
author Hao Yu
Feng Liang
Yu Qian
Junjie Gong
Yao Chen
An Gao
author_facet Hao Yu
Feng Liang
Yu Qian
Junjie Gong
Yao Chen
An Gao
author_sort Hao Yu
title Phononic Band Gap and Free Vibration Analysis of Fluid-Conveying Pipes with Periodically Varying Cross-Section
title_short Phononic Band Gap and Free Vibration Analysis of Fluid-Conveying Pipes with Periodically Varying Cross-Section
title_full Phononic Band Gap and Free Vibration Analysis of Fluid-Conveying Pipes with Periodically Varying Cross-Section
title_fullStr Phononic Band Gap and Free Vibration Analysis of Fluid-Conveying Pipes with Periodically Varying Cross-Section
title_full_unstemmed Phononic Band Gap and Free Vibration Analysis of Fluid-Conveying Pipes with Periodically Varying Cross-Section
title_sort phononic band gap and free vibration analysis of fluid-conveying pipes with periodically varying cross-section
publisher MDPI AG
publishDate 2021
url https://doaj.org/article/61696befdd9d4cafa6250fbf4381892a
work_keys_str_mv AT haoyu phononicbandgapandfreevibrationanalysisoffluidconveyingpipeswithperiodicallyvaryingcrosssection
AT fengliang phononicbandgapandfreevibrationanalysisoffluidconveyingpipeswithperiodicallyvaryingcrosssection
AT yuqian phononicbandgapandfreevibrationanalysisoffluidconveyingpipeswithperiodicallyvaryingcrosssection
AT junjiegong phononicbandgapandfreevibrationanalysisoffluidconveyingpipeswithperiodicallyvaryingcrosssection
AT yaochen phononicbandgapandfreevibrationanalysisoffluidconveyingpipeswithperiodicallyvaryingcrosssection
AT angao phononicbandgapandfreevibrationanalysisoffluidconveyingpipeswithperiodicallyvaryingcrosssection
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