Analytical solution for forced vibration of piezoelectrically actuated Timoshenko beam

Hosseini, SM; Al-Jumaily, A

Analytical solution for forced vibration of piezoelectrically actuated Timoshenko beam

Hosseini, SM

Al-Jumaily, A

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Publication Type:: Journal Article
Citation:: Journal of Intelligent Material Systems and Structures, 2019, 30 (8), pp. 1276 - 1284
Issue Date:: 2019-05-01

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Field	Value	Language
dc.contributor.author	Hosseini, SM https://orcid.org/0000-0001-8648-1981	en_US
dc.contributor.author	Al-Jumaily, A https://orcid.org/0000-0003-0297-2463	en_US
dc.date.issued	2019-05-01	en_US
dc.identifier.citation	Journal of Intelligent Material Systems and Structures, 2019, 30 (8), pp. 1276 - 1284	en_US
dc.identifier.issn	1045-389X	en_US
dc.identifier.uri	http://hdl.handle.net/10453/134875
dc.description.abstract	© The Author(s) 2019. Forced vibrations of a Timoshenko beam covered with a piezoelectric actuator on its top surface were investigated in this article. As the proposed beam model complied with Timoshenko beam theory, the effects of both rotary inertia and shear deformation were considered. Hamilton principle in conjunction with the Galerkin procedure were applied to derive the governing equation of motion resulting in a second-order ordinary differential equation in time. A sinusoidal electric voltage was applied to the piezoelectric actuator, and a spatially distributed harmonic mechanical force was exerted to the beam. The response of the system to the force stimulation gave an analytical relation between natural frequency and amplitude of the vibration. Using the obtained analytical relation, the effects of different factors and material properties including the modulus of elasticity of the piezoelectric layer and the piezoelectric coefficient on the vibrational response of the beam were examined. The results indicated that the piezoelectric layer as an actuator provided an effective tool for active control of vibration. Increasing the piezoelectric coefficient as well as the electric voltage applied on the piezoelectric actuator increased the amplitude of vibration, while the amplitude decreased by increasing the modulus of elasticity of the piezoelectric actuator. The results were also verified by finite element analysis.	en_US
dc.relation.ispartof	Journal of Intelligent Material Systems and Structures	en_US
dc.relation.isbasedon	10.1177/1045389X19832118	en_US
dc.rights	info:eu-repo/semantics/closedAccess
dc.subject.classification	Materials	en_US
dc.title	Analytical solution for forced vibration of piezoelectrically actuated Timoshenko beam	en_US
dc.type	Journal Article
utslib.citation.volume	8	en_US
utslib.citation.volume	30	en_US
utslib.for	0913 Mechanical Engineering	en_US
utslib.for	09 Engineering	en_US
pubs.embargo.period	Not known	en_US
pubs.organisational-group	/University of Technology Sydney
pubs.organisational-group	/University of Technology Sydney/Faculty of Engineering and Information Technology
pubs.organisational-group	/University of Technology Sydney/Faculty of Engineering and Information Technology/School of Biomedical Engineering
pubs.organisational-group	/University of Technology Sydney/Strength - CHT - Health Technologies
utslib.copyright.status	closed_access	*
pubs.issue	8	en_US
pubs.publication-status	Published	en_US
pubs.volume	30	en_US

Abstract:

© The Author(s) 2019. Forced vibrations of a Timoshenko beam covered with a piezoelectric actuator on its top surface were investigated in this article. As the proposed beam model complied with Timoshenko beam theory, the effects of both rotary inertia and shear deformation were considered. Hamilton principle in conjunction with the Galerkin procedure were applied to derive the governing equation of motion resulting in a second-order ordinary differential equation in time. A sinusoidal electric voltage was applied to the piezoelectric actuator, and a spatially distributed harmonic mechanical force was exerted to the beam. The response of the system to the force stimulation gave an analytical relation between natural frequency and amplitude of the vibration. Using the obtained analytical relation, the effects of different factors and material properties including the modulus of elasticity of the piezoelectric layer and the piezoelectric coefficient on the vibrational response of the beam were examined. The results indicated that the piezoelectric layer as an actuator provided an effective tool for active control of vibration. Increasing the piezoelectric coefficient as well as the electric voltage applied on the piezoelectric actuator increased the amplitude of vibration, while the amplitude decreased by increasing the modulus of elasticity of the piezoelectric actuator. The results were also verified by finite element analysis.

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http://hdl.handle.net/10453/134875