Free vibration analysis of joined conical-cylindrical shells by matched Fourier-Chebyshev collocation method

A free vibration analysis of joined conical-cylindrical shells based on the first order shear deformation theory is developed. Deflections and rotations are represented by the expansions of Chebyshev polynomials and Fourier series. Equations of motion are collocated to yield the system of algebraic equations. Boundary conditions and compatibility conditions are considered as side constraints, and the set of algebraic equations is condensed so that the number of degrees of freedom matches the number of expansion coefficients. Numerical examples are provided for a joined conical-cylindrical shell, a complete conical shell attached to a cylindrical shell and a hermetic can.