Numerical Simulation Analysis Of Wave Propagation In Building Structures By The Localized Radial Basis Function Collocation Method

In recent years,with the rapid development of the city and the rapid increase of road vehicles,noise pollution has received more and more attention,and noise is one of the most important influencing factors in civil engineering architectural design.At present,the research on the noise of building structures is mainly through experimental methods to test the influence of noise points in roadside houses,and little attention is paid to the study of sound wave propagation laws in the design structure of architectural houses.The acoustic performance of the design structure of different buildings is different in terms of great composition,and it also determines the living comfort inside the house.Therefore,the study of sound wave propagation law in building structure has important significance for the design of building structure.The influence of sound waves on the design structure of houses mainly draws on numerical simulation methods,and most scholars generally use the finite element method to simulate sound field problems.However,for the fine analysis of complex house structures,it is necessary to use a variety of numerical simulation methods to analyze and compare to verify the accuracy of the numerical simulation results.Therefore,it is necessary to develop other methods to simulate the sound wave propagation characteristics of house structures.In this paper,a numerical model of the sound field dynamic problem is developed based on the Localized Radial Basis Function Collocation Method(LRBFCM),and the acoustic wave propagation characteristics of several classical house design structures are analyzed based on the model,and the influence of different noise source points and boundary conditions on the propagation characteristics of noise waves in flat house structures is discussed.The main research work of this paper is as follows:Through several classical numerical examples,this paper discusses the influence of the distribution method,the distribution density and boundary local points on the calculation accuracy of the local radial basis function,and analyzes the influence of optimal shape parameters,which lays a foundation for simulating the acoustic wave propagation of building structures.The influence of absorption boundary conditions and impedance boundary conditions on sound wave propagation and the influence of the setting position of absorption boundary conditions on the results were studied.Consider the phenomena of reflection and transmission propagated at the interface between two different media;By comparing the numerical results of the local radial basis function matching point method with the results of COMSOL finite element calculation,the sound wave propagation process in the specific villa structure is studied.