Piezoelectric control of composite plate vibration: Effect of electric potential distribution

Pietrzakowski, M.

doi:10.1016/j.compstruc.2007.04.023

Cited by 68 publications

(18 citation statements)

References 7 publications

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“…However, as reported by several researchers [4][5][6], these one-way coupling models are not sufficiently accurate since they tend to underestimate the material stiffness and natural frequencies of the structure. The improved models of piezoelectric active systems are formulated incorporating both converse and direct effects (two-way coupling) and assuming spatial distribution of the electric potential in the longitudinal/transversal direction of the piezoelectric actuator.…”

Section: Introductionmentioning

confidence: 93%

A coupled-field model of a rotating composite beam with an integrated nonlinear piezoelectric active element

Latalski

2017

Nonlinear Dyn

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The dynamics of a system consisting of a rotating rigid hub and a thin-walled composite beam with embedded active element is presented. The beam comprises of a generally orthotropic host made of an arbitrary laminate and an additional layer of a transversely isotropic piezoceramic material. The higherorder constitutive relations for piezoelectric are used to properly model its electromechanical structural behaviour when operated in near resonance conditions or subjected to strong electric fields. In the mathematical formulation of the problem, the full two-way coupling piezoelectric effect is considered by adopting the assumption of a spanwise electric field variation. To enhance the generality of the formulation, the model considers also the hub mass moment of inertia and a non-constant rotating speed case. A general nonlinear system of mutually coupled partial differential equations is derived using the Hamilton principle, and the Galerkin method is applied to reduce these governing equations to the ordinary differential ones. A specific case of CAS lamination scheme that exhibits flapwise bending and twist mode elastic coupling is discussed in detail. Numerical results for system free vibrations are obtained to investigate the natural modeThe work is financially supported by Grant DEC-2012/07/B/ST8/03931 from the Polish National Science Centre.J. Latalski (B) Department of Applied Mechanics, Lublin University of Technology, ul. Nadbystrzycka 36, shapes and electrical field spatial distribution depending on the system rotation speed and laminae fibre orientation angle. Next, a forced vibration case is studied by applying to the hub a periodic driving torque with zero mean value. Nonlinear frequency response curves for the combined beam-hub system together with time series plots are prepared for different driving torque scenarios.

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Section: Introductionmentioning

confidence: 93%

A coupled-field model of a rotating composite beam with an integrated nonlinear piezoelectric active element

Latalski

2017

Nonlinear Dyn

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“…For the static analysis of layered piezoelectric or piezoelectric/elastic beams, some analytical solutions have been obtained by shi and his coworkers [1], [2]. For the dynamics, the response of piezoelectric plate under electrical excitation has been extensively investigated in recent years [3]- [5]. lim studied the natural frequencies of laminated piezoelectric plates with internal electrodes [6].…”

Section: Introductionmentioning

confidence: 99%

The primary resonance of laminated piezoelectric rectangular plates

Zhao

Shi

Xiang

2009

IEEE Trans. Ultrason., Ferroelect., Freq. Contr.

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Based on Hamilton's principle and the Rayleigh-Ritz method, a model of a nonlinear dynamic laminated piezoelectric rectangular plate was established, and the governing equations were derived and solved for both the thin-plate and thick-plate models. In the present investigation, the nonlinear constitutive relations of piezoelectric materials were considered and the effects of the nonlinearity on the response of the plate were discovered. The primary resonance of rectangular plate is investigated with the use of the method of multiple scales. The results obtained in the present paper agree very well with the experiment results.

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“…Dai and Wang [4] presented an analytical solution for the stress wave propagation in piezoelectric fiber reinforced laminated composites subjected to thermal shock loading by means of finite Hankel transforms and Laplace transforms. Pietrzakowski [5] investigated the vibration analysis of active rectangular plates. Babaei and Chen [6] presented the exact solution of an infinitely long magnetoelastic hollow cylinder and a solid rotating cylinder polarized and magnetized radially.…”

Section: Introductionmentioning

confidence: 99%

Application and analysis of functionally graded piezoelectrical rotating cylinder as mechanical sensor subjected to pressure and thermal loads

Rahimi

Arefi

Khoshgoftar

2011

Appl. Math. Mech.-Engl. Ed.

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The exact thermoelastic analysis of a functionally graded piezoelectrical (FGP) rotating cylinder is investigated analytically. The cylinder is subjected to a combination of electrical, thermal, and mechanical loads simultaneously. The structure is a simplified model of a rotational sensor or actuator. The basic governing differential equation of the system is obtained by using the energy method. A novel term, named as the additional energy, is introduced to exact the evaluation of the energy functional. The solution to the governing differential equation is presented for two types of boundary conditions including free rotating and rotating cylinders exposed to the inner pressure. The effect of the angular velocity is investigated on the radial distribution of various components. The mentioned structure can be considered as a sensor for measuring the angular velocity of the cylinder subjected to the pressure and temperature. The obtained results indicate that the electrical potential is proportional to the angular velocity.

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Piezoelectric control of composite plate vibration: Effect of electric potential distribution

Cited by 68 publications

References 7 publications

A coupled-field model of a rotating composite beam with an integrated nonlinear piezoelectric active element

A coupled-field model of a rotating composite beam with an integrated nonlinear piezoelectric active element

The primary resonance of laminated piezoelectric rectangular plates

Application and analysis of functionally graded piezoelectrical rotating cylinder as mechanical sensor subjected to pressure and thermal loads

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