J. Yahner et Cb. Burroughs, FREQUENCIES OF RESONANCE OF AXISYMMETRICAL MODES OF OPEN PROLATE SPHEROIDAL SHELLS, The Journal of the Acoustical Society of America, 94(1), 1993, pp. 213-220
Governing differential equations are derived for the axisymmetric moti
on of an open prolate spheroidal shell with inner and outer surfaces d
efined by prolate spheroidal coordinate surfaces. Transverse shear and
rotary inertia terms are included in the shell equations. The open en
d of the shell, defined by a circumferential coordinate line, is assum
ed clamped. Approximate solutions for the axisymmetric frequencies of
resonance of the in-vacuo and fluid-loaded shell are derived using the
Galerkin method. For the in-vacuo shell, good agreement with publishe
d results for the exact frequencies of resonance of a spherical shell
is obtained. Results are presented for the frequencies of resonance of
open prolate spheroidal shells as a function of shell eccentricity, m
ode number, shell thickness, and opening angle, with and without fluid
loading.