Geometrically Nonlinear vibration of functionally graded cylindrical shells

In this paper, the nonlinear vibrations of functionally graded (FGM) cylindrical shells with finite length subjected to radial harmonic excitation were investigated. The effective material properties were assumed to vary continuously along the thickness direction according to a volume fraction power law distribution. Donnell’s theory was utilized in theequilibrium equations. The boundary condition was considered to be simply supported. The nonlinear formulation was based on a Donnell’s nonlinear shallow-shell theory, in which the geometric nonlinearity takes the form of von Karman strains. The Lagrange equations of motion were obtained by an energy approach. A single harmonic radial force was considered as an external load applied to the shell. The large-amplitude response of simply supported circular cylindrical shells subjected to harmonic radial excitation was computed by using numerical method. In addition to time response curve, the amplitude frequency curves were obtained for nonlinear analysis.

کلیدواژه ها:

Nonlinear vibration ، functionally graded material ، cylindrical shell