Analysis of Thin Film-bed Surface Coupled Vibration Response Based on Galerkin Truncation
The separation and recovery of waste plastic film is the most efficient and energy-saving plastic waste treatment method currrently.The vibration of waste plastic film and bed surface will directly affect the efficiency of separation.The method of establishing the dynamic model of the coupled thin film-bed surface system by combining the thin film model and the bed surface model is proposed.Through force analysis,the bed surface deformation is expressed as a linear combination of modal functions by Galerkin truncation and the nonlinear coupled vibration differential equation of thin film and bed surface is established.The influence of different truncation order on the dynamic response of the coupled nonlinear vibration of thin film and bed surface is studied and the Galerkin truncation order to ensure the vibration convergence of the thin film-bed surface coupled system is determined.This method is verified and compared by the bed surface displacement response.The results show that Galerkin truncation method is suitable for solving the vibration analysis of coupled system,rapidly.
vibration and wavethin film-bed surfacecoupled vibrationvibration analysisGalerkin truncation
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