噪声与振动控制2018，Vol.38Issue(z1)：219-223,5.DOI:10.3969/j.issn.1006-1355.2018.Z1.046
简支Mindlin板的振动与声辐射研究
Vibration and Sound Radiation of Mindlin Plates
摘要
Abstract
An analytical solution for the prediction of vibration response and sound radiation of a simply supported rectangular plate based on Mindlin thick plate theory is presented in this paper. The study made use of Rayleigh integral formula to link the sound pressure at the interface with the out-of-plane vibration velocity of the plate. The vibration response and sound radiation of the plate subject to a point force excitation are then obtained using a modal expansion solution. The solution further leads to modal sound radiation impedance and radiation coefficient. It is shown that the vibration response calculated using Mindlin thick plate model is more accurate than that calculated using the classical Kirchhoff-Love thin plate model, particularly at higher frequencies. However, both plate models yield a similar sound radiation efficiency across the frequency range since only plate bending vibration is responsible for the plate sound radiation.关键词
振动与波/Mindlin板/Rayleigh积分/模态辐射系数/声辐射特性Key words
vibration and wave/Mindlin thick plate/Rayleigh integral/modal sound radiation coefficient/radiation impedance分类
通用工业技术引用本文复制引用
张凯,林天然,顾元通..简支Mindlin板的振动与声辐射研究[J].噪声与振动控制,2018,38(z1):219-223,5.基金项目
国家自然科学基金海外合作基金资助项目(51628501) 本文作者感谢山东省政府通过山东省‘泰山学者’人才引进项目对本研究课题提供的财政支持.同时感谢国家自然基金委通过港澳、海外合作研究基金项目(项目编号:51628501)提供的基金支持. （51628501）
