Internal resonance of hyperelastic thin-walled cylindrical shells under harmonic axial excitation and time-varying temperature field

In this paper, the internal resonance characteristics of hyperelastic cylindrical shells under time-varying temperature field are investigated for first time, and evolution isolated bubble is carried out. Through analysis influences on material parameters, strain energy density function in unsteady presented. The governing equations describing axisymmetric nonlinear vibration derived from thin shell theory variational principle. With harmonic balance method arc length method, steady state solutions obtained, their stabilities determined. discrete mode number, structural parameters behaviors examined. role parameter variation shaped responses revealed condition 3:1 resonance. results manifest that both can affect range response curve, perturbed has a more significant effect stable region solution.