The dynamic stability and nonlinear vibration analysis of stiffened functionally graded cylindrical shells

摘要

Highlights•The dynamic stability and nonlinear vibrations of stiffened FG shells are investigated.•A reduction nonlinear model of stiffened FG shells is presented.•The effects of key parameters on the dynamic stability and nonlinear vibrations are analyzed.•A series of comparison are performed and the investigations demonstrate good reliability.AbstractA theoretical model is developed to study the dynamic stability and nonlinear vibrations of the stiffened functionally graded (FG) cylindrical shell in thermal environment. Von Kármán nonlinear theory, first-order shear deformation theory, smearing stiffener approach and Bolotin method are used to model stiffened FG cylindrical shells. Galerkin method and modal analysis technique is utilized to obtain the discrete nonlinear ordinary differential equations. Based on the static condensation method, a reduction model is presented. The effects of thermal environment, stiffeners number, material characteristics on the dynamic stability, transient responses and primary resonance responses are examined.