ABSTRACT
This chapter is devoted to vibrations of inhomogeneous circular plates in an axisymmetric setting. For three sets of boundary conditions, namely for plates that are either clamped, pinned or free at the circumference, closed-form solutions are obtained for the fundamental natural frequency. Simple polynomial expressions are postulated for the mode shapes in each case, arising from the static displacements of the “corresponding” uniform plates. Inertial coefficients are also represented in a polynomial form. Uniform, linearly, parabolically or cubically varying inertial coefficients are studied with the general case when the inertial coefficient is a polynomial of mth degree.
