气流
粘弹性
压缩性
非线性系统
机械
可压缩流
声学
材料科学
结构工程
物理
工程类
机械工程
复合材料
量子力学
作者
Hamed Norouzi,Davood Younesian
标识
DOI:10.1016/j.apacoust.2020.107779
摘要
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.
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