Periodic solutions and numerical simulations for composite laminated circular cylindrical shell

Abstract

Periodic solutions and numerical simulations for a composite laminated circular cylindrical shell under the parametric excitation of temperature are investigated in this paper. By introducing some transformations and defining a Poincaré displacement map, some results, including the existence condition for periodic solutions, least upper bound of the number of periodic solutions and the parameter control conditions, are obtained. To demonstrate the applicability and validity of our theoretical results, the phase portraits of the periodic solutions with different values of the detuning parameter are presented by numerical simulations.