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