噪声与振动控制2025，Vol.45Issue(3)：175-181,215,8.DOI:10.3969/j.issn.1006-1355.2025.03.028
Floquet波数域声学边界积分方程及其格林函数
The Floquet Wavenumber Domain Acoustic Boundary Integral Equation and the Associated Green's Function
摘要
Abstract
Radiation noise of high-speed trains from the vibrations of wheels and rails,known as wheel-rail noise,is the primary source of environmental noise in high-speed railway settings,even at speeds of 350 km/h.Previous studies on the sound radiation of rails considered a continuous gap between the rails and the track slab,and neglected the influence of periodic gaps formed by fasteners between the rails and the track slab.This paper addresses the sound radiation problem of infinitely long periodic structures,such as rails on the track slab.The classical acoustic boundary integral equation is trans-formed into a Floquet wavenumber domain boundary integral equation using Floquet transformation.This Floquet wavenum-ber domain boundary integral equation only needs to consider the boundary of a unit cell,so that the computation complexity is significantly reduced.However,the involved Green's function has a series form and includes an additional wavenumber parameter compared to conventional Green's functions.And the boundary integral equations are usually solved by using the boundary element method.To facilitate the development of boundary element programming,this paper further investigates the mathematical properties of the aforementioned Green's function,including the convergence of the series expression,sin-gularity due to the coincident of field point with source point,and variations of the solution with frequency and wavenumber.关键词
声学/周期结构/声辐射/声学边界积分方程/格林函数/Floquet变换Key words
acoustics/periodic structure/sound radiation/acoustic boundary integral equation/Green's function/Flo-quet transformation分类
交通工程引用本文复制引用
邓蓉,圣小珍,钟硕乔..Floquet波数域声学边界积分方程及其格林函数[J].噪声与振动控制,2025,45(3):175-181,215,8.基金项目
国家自然科学基金面上资助项目(52272352) （52272352）
青年基金资助项目(52202477) （52202477）
