Analytical analysis of vibration characteristics for the hard-coating cantilever laminated plate

Abstract

For laminated plate served in high temperature and high corrosion environment, hard coating can be applied to suppress destructive vibration. While the creation of the dynamic model of hard-coating laminated plate is the premise of the research on vibration reduction. This study was focused on analyzing vibration characteristics of the hard-coating cantilever laminated plate under base excitation. Orthogonal polynomials were used as admissible displacement functions to formulate the displacement field, Lagrange’s equation was used to build the governing equations of both free vibration and forced vibration for the composite plate, and methods of solving the natural characteristics and the harmonic response were presented. A T300/QY89l1 laminated plate with NiCoCrAlY+YSZ hard coating was chosen to demonstrate the proposed method and obtained results were compared with the ones gotten by ANSYS software with the purpose of assessing the rationality of the developed analytical model. Finally, based on the established model, the influences of hard-coating parameters, including thickness, Young’s modulus, and loss factor, on the vibration characteristics of the laminated plate were studied. The results show that increasing the thickness, Young’s modulus and loss factor of hard coating are beneficial to vibration reduction of laminated plate.