Free vibrations of piezoelectric cylindrical shells filled with compressible fluid

Three displacement functions are introduced to represent each mechanical displacement according to the three-dimensional theory. After expanding these functions and the electric potential with orthogonal series, the free vibration equation of piezoelectric cylindrical shells satisfying SS3 edge conditions can be obtained. The equation was solved by utilizing Bessel functions with complex arguments. The effects of compressible fluid on shells are considered and some new phenomena which are exclusive for piezoelectric cylindrical shells are reported. Results of empty infinite piezoelectric cylindrical shells are compared to those presented in relative references. Some lowest frequencies that were missed by Paul and Venkatesan [Paul, H. S. and Venkatesan, M. (1987). Vibrations of hollow circular cylinder of piezoelectric ceramics. Journal of the Acoustic Society of America 82, 852-8561 were discovered. 0 1997 Elsevier Science Ltd.