Transient responses of functionally graded double curved shallow shells with temperature-dependent material properties in thermal environment

• Investigate the nonlinear dynamic response of FGM double curved shallow shells.
• The shell is resting on elastic foundations and in thermal environment.
• The Lekhnitsky smeared stiffeners technique and stress function are used.
• Effects of temperature, elastic foundation and stiffeners are analyzed.
• The obtained results are compared with results reported in other publications.

An analytical approach is presented to investigate the nonlinear dynamic response and vibration of imperfect eccentrically stiffened FGM double curved thin shallow shells on elastic foundation using a simple power-law distribution (P-FGM) in thermal environment. The formulations are based on the classical shell theory taking into account geometrical nonlinearity, initial geometrical imperfection, temperature-dependent properties and the Lekhnitsky smeared stiffeners technique with Pasternak type elastic foundation. By applying Galerkin method and using stress function, explicit relations of thermal load-deflection curves for simply supported curved eccentrically stiffened FGM shells are determined. Effects of material and geometrical properties, temperature, elastic foundation and eccentrically stiffeners on the dynamic response and vibration of the imperfect eccentrically stiffened P-FGM double curved shallow shells in thermal environments are analyzed and discussed. The numerical results in this paper are compared with results reported in other publications.