Vibration characteristics and power flow analysis of irregular composite coupling laminated plate structures

Abstract

This article presents a predictive model to investigate the vibration and power flow characteristics of irregular composite coupling laminated plates based on the 2D Chebyshev–Ritz method. First, the simplified physical model of coupling plate with arbitrary coupling angle is specified and the coordinates are defined for better describing the displacement components of irregular structures using Chebyshev polynomials. The Lagrange energy functionals of coupling plates are derived by the first-order shear deformation theory and the employment of boundary and coupling springs. The displacement admissible functions of coupling plates are constructed based on the Chebyshev polynomials of the first kind. Then, the vibration solutions of coupling plate structure can be well evaluated by the Ritz procedure. The convergence characteristics and calculation accuracy of the model are verified by a series of numerical examples. The effects of relevant parameters on the inherent characteristics and steady-state response of the coupling plate are further investigated. The proposed vibration model, based on the 2D Chebyshev–Ritz method, is not only capable of physically revealing the complex vibration and power flow phenomena of irregular composite coupling laminated plates and similar structures, but also provides a basis for structural low-noise design engineering.