Free Vibration Response to Thin Cylindrical Panels

Hither-to-fore an unavailable analytical solution to the free vibration response of thin cylindrical panels on rectangular plan form is presented. Boundary continuous solution functions based on double Fourier series expansion are assumed to solve three coupled third and fourth order partial differential equations with three unknowns. Admissible boundary conditions not similar to Navier and Levy types are selected. Numerical results are presented in the form of convergence for various parametric ratios-with respect to thickness-to-span and radius-to-space ratios-for the lowest seven frequencies. First lowest ten mode shapes are extracted. The frequencies and mode shapes are compared with the finite element solutions. The analytically obtained results may be considered as the base-line solutions for future comparisons.