Dynamic Modeling And The Internal Resonance Research Of Composite Laminated Plates

Composited laminated plate is one of the basic structures in the composite material of engineering application. Research on dynamic modeling and internal resonance of composite plate is significant during the process of engineering dynamic analysis. Due to lack of the research on composite plate subject to both the principal parametric resonance of the first mode and internal resonance, this dissertation has built up the nonlinear dynamic equation of laminated composite plate subject to in-plane parametric excitation.In addition, through numerical simulation based on the parameter of Graphite/ Epoxy composite amplitude frequency response curves can be achieved and the impact on internal resonance caused by the slight change of system parameter can be found. Then, the mode function of the transverse vibration of system has been assumed more complicated and the impact on internal resonance caused by the change of damp can be found. Described below.Firstly, the classic shear theory, von Kármán nonlinear theory, and Galerkin method are applied during the process of dynamic modeling of the cosmposite laminated plates subject to in-plane parametric excitation. Then, the method of multiple scales is used to analyze the dynamic model and the parametric of Graphite/ Epoxy have been used to draw curves of amplitude-frequency response. The differences between amplitude frequency curves caused by the change of system parameter and structure parameter have been researched during the process of internal resonance and parametric resonance.Secondly, in order to describe the vibration system more precise, the mode function of the transverse vibration of system has been assumed three modes. Then, the Galerkin method and multiply scales method have been used to solve the equations. The impact of amplitude-frequency response curve caused by the change of damp has also been studied.Finally, based on the vibration experiment, the first two frequencies are obtained. Compare with the data of theoretical analysis, we can find composite laminated plates with determinate dimension have the possibility of internal resonance under the boundary conditions of simply supported.