Nonlinear dynamic analysis of laminated composite spherical shells under the pulsating loading by Chebyshev collocation methods

فاقد چكيده فارسي

This article is concerned with the nonlinear dynamic analysis and response of composite spherical shells under the dynamic loading, with Chebyshev collocation methods. So the application of caps have significant growth in civil structure in recent years and since the surface of caps constitute of spherical shells, the investigation of spherical shell in particular composite one have high beneficial to designing. The theoretical formulations are based on the FSDT in which the nonlinear equation given by Novozhilov. This analysis is carried out using Chebyshev collocation methods to study the governing equation of composite spherical shells. These governing equations turn into the incremental form and then solved by using the orthogonal collocation point methods besides using the Newmark method and iteration scheme for obtain the displacement under the various pulsating loading. The validity of the analytical response is demonstrated by comparing the present results with those available in the literature and finite element analysis model in ABAQUS. The effect of different pulsating loading, thickness per radius, number of layers and boundary conditions on the nonlinear dynamic analysis on composite spherical shells are investigated.