Study on Tunable Band Gap of Flexural Vibration in a Phononic Crystals Beam with PBT

Low-frequency flexural vibration plays a significant role in beam vibration control. To efficiently attenuate the propagation of flexural vibration at a low-frequency range, this paper proposes a new type of a phononic crystals beam with an adjustable band gap. The governing equations of flexural vi...

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Autores principales:	Peng Zhao, Lili Yuan, Tingfeng Ma, Hanxing Wei
Formato:	article
Lenguaje:	EN
Publicado:	MDPI AG 2021
Materias:	flexural vibration low-frequency band gap transmission characteristic Crystallography QD901-999
Acceso en línea:	https://doaj.org/article/1c56c532c74647faab65c46da148e8fe
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id	oai:doaj.org-article:1c56c532c74647faab65c46da148e8fe
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spelling	oai:doaj.org-article:1c56c532c74647faab65c46da148e8fe2021-11-25T17:18:34ZStudy on Tunable Band Gap of Flexural Vibration in a Phononic Crystals Beam with PBT10.3390/cryst111113462073-4352https://doaj.org/article/1c56c532c74647faab65c46da148e8fe2021-11-01T00:00:00Zhttps://www.mdpi.com/2073-4352/11/11/1346https://doaj.org/toc/2073-4352Low-frequency flexural vibration plays a significant role in beam vibration control. To efficiently attenuate the propagation of flexural vibration at a low-frequency range, this paper proposes a new type of a phononic crystals beam with an adjustable band gap. The governing equations of flexural vibration in a periodic beam are established based on the Euler theory and Timoshenko theory. The band structures are calculated by the plane wave expansion method, the attenuation properties and transmission response curves with a finite periodic beam are calculated by the spectral element method and finite element method. The effects of the elastic foundation and axial stress on band gaps are discussed in detail, and the regulation of the temperature field on the band gap is emphatically studied. The theoretical and numerical results show that the elastic foundation and axial stress have significant influence on the band gap, and the location and width of the band gaps can be adjusted effectively when the Young’s modulus of PBT is changed by a varying temperature. The results are very useful for understanding and optimizing the design for composite vibration isolation beams.Peng ZhaoLili YuanTingfeng MaHanxing WeiMDPI AGarticleflexural vibrationlow-frequencyband gaptransmission characteristicCrystallographyQD901-999ENCrystals, Vol 11, Iss 1346, p 1346 (2021)
institution	DOAJ
collection	DOAJ
language	EN
topic	flexural vibration low-frequency band gap transmission characteristic Crystallography QD901-999
spellingShingle	flexural vibration low-frequency band gap transmission characteristic Crystallography QD901-999 Peng Zhao Lili Yuan Tingfeng Ma Hanxing Wei Study on Tunable Band Gap of Flexural Vibration in a Phononic Crystals Beam with PBT
description	Low-frequency flexural vibration plays a significant role in beam vibration control. To efficiently attenuate the propagation of flexural vibration at a low-frequency range, this paper proposes a new type of a phononic crystals beam with an adjustable band gap. The governing equations of flexural vibration in a periodic beam are established based on the Euler theory and Timoshenko theory. The band structures are calculated by the plane wave expansion method, the attenuation properties and transmission response curves with a finite periodic beam are calculated by the spectral element method and finite element method. The effects of the elastic foundation and axial stress on band gaps are discussed in detail, and the regulation of the temperature field on the band gap is emphatically studied. The theoretical and numerical results show that the elastic foundation and axial stress have significant influence on the band gap, and the location and width of the band gaps can be adjusted effectively when the Young’s modulus of PBT is changed by a varying temperature. The results are very useful for understanding and optimizing the design for composite vibration isolation beams.
format	article
author	Peng Zhao Lili Yuan Tingfeng Ma Hanxing Wei
author_facet	Peng Zhao Lili Yuan Tingfeng Ma Hanxing Wei
author_sort	Peng Zhao
title	Study on Tunable Band Gap of Flexural Vibration in a Phononic Crystals Beam with PBT
title_short	Study on Tunable Band Gap of Flexural Vibration in a Phononic Crystals Beam with PBT
title_full	Study on Tunable Band Gap of Flexural Vibration in a Phononic Crystals Beam with PBT
title_fullStr	Study on Tunable Band Gap of Flexural Vibration in a Phononic Crystals Beam with PBT
title_full_unstemmed	Study on Tunable Band Gap of Flexural Vibration in a Phononic Crystals Beam with PBT
title_sort	study on tunable band gap of flexural vibration in a phononic crystals beam with pbt
publisher	MDPI AG
publishDate	2021
url	https://doaj.org/article/1c56c532c74647faab65c46da148e8fe
work_keys_str_mv	AT pengzhao studyontunablebandgapofflexuralvibrationinaphononiccrystalsbeamwithpbt AT liliyuan studyontunablebandgapofflexuralvibrationinaphononiccrystalsbeamwithpbt AT tingfengma studyontunablebandgapofflexuralvibrationinaphononiccrystalsbeamwithpbt AT hanxingwei studyontunablebandgapofflexuralvibrationinaphononiccrystalsbeamwithpbt
_version_	1718412515704045568

Study on Tunable Band Gap of Flexural Vibration in a Phononic Crystals Beam with PBT

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