Vibration characteristics of a rotating composite laminated cylindrical shell in subsonic air flow and hygrothermal environment

Abstract

This paper focuses on vibration characteristics of a rotating composite laminated cylindrical shell subjected to both subsonic air flow and hygrothermal effects. Based on Love's nonlinear shell theory, and introducing hygrothermal strains into the constitutive relation of single layer material, the dynamic equations of the shell considering rotation, subsonic air flow and hygrothermal effects are obtained by Hamilton's principle. The frequency parameters of the equations are derived by means of Galerkin's method. Some numerical results are performed to conduct detailed parametric studies on vibration characteristics of the shell. In particular, combined effects of subsonic air flow and hygrothermal environment on natural frequencies of forward and backward travelling waves and critical rotating velocity of the shell are discussed, and the influence of initial hoop tension on those frequencies is also carried out. From the results it is shown that rotating angular velocity, subsonic air flow velocity and hygrothermal effects show the significant influence on vibration characteristics of the shell.