厚さの変化する球かくの固有振動解析

抄録

This paper is concerned with the natural vibrations of a spherical shell with variable thicknesses in the meridional direction. The governing equations of motion have already been given in the author's previous paper. In this paper, the distribution of thickness is expressed in a quadratic polynomial, and is substituted into the above equations. Four solutions of the equations required in the case of a hemispherical shell with a free edge can be obtained analytically by the method of series solution, and the corresponding frequency equation is derived. Natural frequencies for several circumferential wave numbers calculated. Lastly, to illustrate the utility of the present method, the numerical results are compared with the experimental data.