Hong Ying Li, Ming Yao Zhang, Qin Jing Ji, Jian Li
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Nonlinear vibrations of an axially moving functionally graded carbon nanotube-reinforced composite (FG-CNTRC) plate are numerically and analytically investigated on the steady-state responses in the presence of 1:3 internal resonances. Based on Reddy’s third-order shear deformation theory, nonlinear partial differential equations of motion for axially moving FG-CNTRC plates are derived by Hamilton’s principle and subsequently discretized through the Galerkin method. Nonlinear differential equations of motion are solved by means of Runge–Kutta method and method of multiple scales, and then dynamic response of the internal resonance system is analyzed. Lyapunov’s first-order approximation theory is employed to determine the stabilities of the steady-state response. The effects of excitation amplitude, detuning parameters, axial velocity and location of excitation force on nonlinear dynamic behavior of the system are investigated and discussed in detail.
期刊介绍：
Since 1965, the international journal Acta Mechanica has been among the leading journals in the field of theoretical and applied mechanics. In addition to the classical fields such as elasticity, plasticity, vibrations, rigid body dynamics, hydrodynamics, and gasdynamics, it also gives special attention to recently developed areas such as non-Newtonian fluid dynamics, micro/nano mechanics, smart materials and structures, and issues at the interface of mechanics and materials. The journal further publishes papers in such related fields as rheology, thermodynamics, and electromagnetic interactions with fluids and solids. In addition, articles in applied mathematics dealing with significant mechanics problems are also welcome.
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