基于分散图决策的ε占优多目标粒子群算法施罗德声扩散体设计  

Scatter Diagram Decision and ε-multi-objective Particle Swarm Optimization Based Schroder Sound Diffuser Design

作　　者：汪海峰[1] 王子成[1] 

机构地区：[1]中国科学院大学,中国科学院武汉物理与数学研究所,武汉430071

出　　处：《科学技术与工程》2017年第32期298-304,共7页Science Technology and Engineering

基　　金：国家自然科学基金(11404375);国家重点基础研究发展计划(2012CB922101)资助

摘　　要：为提高声音扩散体设计的合理性降低算法计算复杂度,提出基于分散图决策的ε占优多目标粒子群算法(ε-MOPSO)的声音扩散体设计方法。首先,利用夫琅禾费理论建立施罗德扩散的声音扩散特性量化方法,获得1/3倍频带的扩散系数;并利用归一化方式消除极限尺寸下产生的边缘衍射散射效应。其次,构建声音扩散体多目标优化模型,通过对扩散系数进行重设置,消除扩散体重复和等价问题。然后采用ε-MOPSO算法,将目标空间分割成固定数量的n个网格,以保持种群解的多样性,实现声音扩散体参数优化;并采用分散图决策方式实现最终散体设计方案选择。最后,通过仿真对3种不同的设计模型进行了评价和选择。In order to improve the rationality of sound diffuser design algorithm to reduce the computational complexity,the scatter diagram decision and ε-MOPSO based schroder sound diffuser multi objective design method was proposed.Firstly,the Fraunhofer theory was used to establish the quantitative method for sound diffusion characteristics of Schroder diffusion,which could obtained the diffusion coefficient of 1/3 octave band,and used the normalization method to eliminate the edge diffraction scattering effect under the limit size.Secondly,the sound diffusion multi-objective optimization model was built,and by resetting the diffusion coefficient,the problem of repeated and equivalent diffusion can be eliminated.Then using the ε-MOPSO algorithm to divided the target space into a fixed number of n grid,so as to maintain the population diversity of solutions,and achieve sound diffuser parameter optimization,the dispersion diagram of the decision mode was selected to achieve the ultimate diffuser design.Finally,three different design models by simulation were evaluated and selected.

关 键 词：声音扩散体 多目标粒子群 分散图决策 ε占优 施罗德扩散 夫琅禾费理论 

分 类 号：TU112[建筑科学—建筑理论]