... to the strictness of mathematical derivation and accuracy of solution, the developed method provides a solid approach for seeking more analytic solutions. Table 5 First ten frequency parameters, ω a 2 ρ / D , of the CCSC shallow shells with R y / R x = 0.5...

... mode shape functions in axial and circumferential directions for cylindrical shells with infinite and finite lengths are proposed for analytic solutions, which satisfy the basic differential equations, of natural vibration. The general approach presented in the paper for the solutions of natural...