ASA 129th Meeting - Washington, DC - 1995 May 30 .. Jun 06

5aSA6. A new analytical approach for radiation problem from finite cylindrical piezoceramic shell.

Victor T. Grinchenko

Dept. of Hydrodyn. Acoust., Inst. of Hydromech., Natl. Acad. of Sci., Kiev, 252057, Ukraine

The objective of this paper is to present a complete analytical solution for a finite piezoelectric cylinder radiation problem. Three aspects of the problem are discussed. (1) Development of a theory of thin piezoceramic shells with hypotheses for electric field components that are equivalent to the classical Love's mechanical ones. (2) Explanation of a new analytical approach to solve a coupled elastic--electric--fluid interaction problem. The exact solution for the acoustic potential function is given in terms of an infinite series of partial solutions of the Helmholtz equation in cylindrical and spherical coordinate systems. The associated coefficients are the solution of an infinite linear system. A new approach to truncation of this system which takes into account the sharp edge effects, is developed. An estimation of the calculation accuracy of the method is presented. (3) Numerical implementation of the analytical solution for different values of key parameters gives a ground to elucidate a complex exchange of energy between electric generator, elastic structure, and surrounding fluid. Modification of eigenforms of the shell due to radiation in water is described.