Vibro-acoustic numerical analysis for the geometrically nonlinear viscoelastic rectangular plate subjected to subsonic compressible airflow

Abstract Transient and steady-state acoustic radiation of geometrically nonlinear viscoelastic rectangular plates are studied in this paper. The plate is subjected to subsonic compressible steady airflow. Firstly, the airflow pressure on the surface of the plate is obtained using Bernoulli-Lagrange equation. Von-Karman’s assumptions are employed to derive the nonlinear equation of motion of the plate. Galerkin’s approach is adopted to obtain the transverse vibration of the plate. Multiple Time-Scales Method (MTSM) is used to solve nonlinear equation of motion for the non-resonance, primary resonance, super-harmonic resonance and sub-harmonic resonance cases. The response of the plate is obtained based on the Laplace transformation in conjunction with Adomian Decomposition Method (ADM). Rayleigh integral technique and Durbin’s numerical Laplace transform inversion scheme are finally employed to obtain the acoustic pressure around the plate. A parametric study is then carried out and the effects of the different parameters including design parameters as well as loading conditions on the acoustic pressure are examined.