Elastic Waves in Piezoelectric Spherical Curved Plates
Based on linear three-dimensional piezoelasticity, an orthogonal polynomial approach is used for determining the elastic wave characteristics of piezoelectric spherical curved plates. The displacement components and electric potential, expanded in a series of Legendre polynomials, are introduced into the governing equations along with position-dependent material constants so that the solution of the wave equation is reduced to an eigenvalue problem. Guided wave dispersion curves for PZT-4 spherical curved plates are calculated. Corresponding mechanical displacement and electric potential distributions are illustrated. The influence of the ratio of radius to thickness on the wave characteristics is discussed.
Bo Zhao, Guanglin Wang, Wei Ma, Zhibo Yang and Yanyan Yan
J.G. Yu and X.F. Dong, "Elastic Waves in Piezoelectric Spherical Curved Plates", Key Engineering Materials, Vol. 455, pp. 672-677, 2011