Abstract
The purpose of present paper is to establish a conical shell model for exploring combined resonance response of axially moving graphene platelets reinforced metal foams (GPLRMF) conical shells subjected to coupled external and parametric excitations in thermal environments. The Reddy's higher order shear deformation theory (HSDT) is applied to derive the stress-strain relationship, and the governing equations of the shell structure are obtained using Hamilton's principle. The displacements and boundary conditions are characterized by a set of displacement shape functions with orthogonal properties. Then, the combined resonant for the conical shell are solved, where the method of varying amplitude (MVA) is adopted for discretizing and formulating the nonlinear governing motion equations. The correctness of the steady-state approximate solutions is verified by conducting comparative analysis, where the existing valuable literature is served as reference. In addition, the effects of initial phase angle, damping interference, material property, axially moving velocity, temperature change, coning angle as well as external excitation amplitude on the vibrational mechanism are analyzed, and the jumping phenomenon, bifurcation behavior, and chaotic characteristics are discussed in detail.
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