Nonlinear primary resonance of axially moving functionally graded cylindrical shells in thermal environment

Based on Love's thin shell theory, an effort is made to investigate the nonlinear primary resonance response of axially moving functionally graded materials (FGM) cylindrical shells subjected to external excitations in thermal environment. Two kinds of temperature fields, namely, uniform temperature rise and heat conduction, are considered. The effective material properties of the FGM cylindrical shells are temperature-dependent. The equations of motion are derived using Euler-Lagrange principle and solved by multiple scale method, in which the cylindrical shell with four clamped edges is considered. Finally, the effects of different influencing factors on the nonlinear resonance response are discussed.