Wave propagation in a piezoelectric solid bar of circular cross-section immersed in fluid

Wave propagation in a piezoelectric solid bar of circular cross-section immersed in fluid is discussed using three-dimensional theory of piezoelectricity. The equations of motion of the cylinder are formulated using the constitutive equations of a piezoelectric material. The equations of motion of the fluid are formulated using the constitutive equations of an inviscid fluid. Three displacement potential functions are introduced to uncouple the equations of motion, electric conduction. The frequency equation of the coupled system consisting of cylinder and fluid is developed under the assumption of perfect-slip boundary conditions at the fluid–solid interfaces. The frequency equations are obtained for longitudinal and flexural modes of vibration and are studied numerically for PZT-4 material bar immersed in fluid. The computed non-dimensional wave numbers are presented in the form of dispersion curves. The secant method is used to obtain the roots of the frequency equation.

► Wave propagation in a piezoelectric solid bar of circular cross-section immersed in fluid is analyzed using secant method.
► Solid–fluid interaction for piezoelectric material of PZT-4 is analyzed using the boundary conditions.
► The computed non-dimensional wave numbers are plotted in the form of dispersion curves and studied its characters.
► A comparison is made between the non-dimensional wave numbers obtained by the author with the literature results.