A novel variational numerical method for analyzing the free vibration of composite conical shells

摘要: Abstract This paper proposes an efficient numerical method in the context of variational formulation and on basis Rayleigh–Ritz technique to address free vibration problem laminated composite conical shells. To this end, energy functional Hamilton’s principle is written a quadratic form using matrix relations first. Displacements are then approximated via linear combination base functions, by which number final unknowns reduces. After that, strain tensor discretized means differential quadrature (DQ) operators. In next step, Taylor series DQ rules, integral operator constructed embedded into stiffness so as discretize representation functional. Finally, reduced mass matrices readily obtained from aforementioned obtain natural frequencies shell, hybrid harmonic-beam functions employed modal displacement functions. The accuracy present examined comparing its results with those published literature. It revealed that capable accurately solving little computational effort ease implementation.