Academic Journal

Analytical model of mechanically excited piezoelectric unimorph beams.

التفاصيل البيبلوغرافية
العنوان: Analytical model of mechanically excited piezoelectric unimorph beams.
المؤلفون: Pillai, Minu A., Ebenezer, D. D., Deenadayalan, Ezhilarasi
المصدر: Journal of the Acoustical Society of America; Aug2017, Vol. 142 Issue 2, p718-727, 10p
مصطلحات موضوعية: PIEZOELECTRICITY, COMPOSITE construction, ELASTICITY, BOUNDARY value problems, ELECTRODES, RESONANCE frequency analysis
مستخلص: A model is presented of a composite beam with one elastic and one piezoelectric layer. A reduced set of piezoelectric equations of state that has only the longitudinal components of stress and strain and the transverse components of electric field and charge density is consistently used to include the effect of piezoelectric coupling in all the equations. The equi-potential boundary conditions on the electrodes, the open-circuit condition, and the Gauss condition are satisfied. The position of the neutral axis and the dynamic equilibrium equation are derived after including the effect of piezoelectric coupling. All equations are combined to derive an equation of motion that contains only the displacement and the mechanical excitation. The solution to the equation is expressed in terms of a complete set of functions and an auxiliary function that contains the electric potential. The latter is needed to satisfy piezoelectric boundary conditions at the ends of the beam. The electric potential varies along the length of the beam and has a quadratic variation between the electrodes. Analytical expressions for displacement and potential, and numerical results at low frequencies and in the neighborhood of resonance, are presented for certain sets of boundary conditions. [ABSTRACT FROM AUTHOR]
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قاعدة البيانات: Complementary Index
الوصف
تدمد:00014966
DOI:10.1121/1.4996852