微穿孔板在随机-区间混合不确定性理论下的结构优化EI北大核心CSCD

将不确定性理论应用于微穿孔板结构设计,分析不确定参数(微穿孔板板厚、声速、空气运动黏度)对微穿孔板吸声特性的影响。以板厚为随机变量,以声速和空气运动黏度为区间变量,建立微穿孔板随机-区间混合不确定性模型,利用蒙特卡洛法分析吸声系数和品质因素的不确定度,并通过实验验证模型的正确性。选取吸声系数高于某一值时对应的频带宽度最大为优化目标,以品质因素大于某一值为约束条件,对微穿孔板结构参数进行优化。优化后的微穿孔板吸声系数和品质因素得到有效改善,吸声性能的稳健性得到提升,验证了随机-区间混合不确定性模型在微穿孔板吸声性能优化上的可行性与有效性,为不确定性理论在声学工程中的应用提供参考。

Structural optimization of micro-perforated panel using random-interval mixed uncertainty theory

Combining the uncertainty theory with the sound absorption structure model of the micro-perforated plate,the influence of the uncertainty parameters(thickness of the micro-perforated plate,sound velocity,air kinematic viscosity)on the sound absorption characteristics of the micro-perforated plate model was analyzed.A random-interval mixed uncertainty model was established for the study.In the model,the micro-perforated plate thickness was considered as a random variable and the sound velocity and air kinematic viscosity were used as the interval variables.And the correctness of the model was validated through the experimental and simulation analysis using Monte-Carlo method.The maximum frequency bandwidth corresponding to a certain value of sound absorption coefficient was selected as the optimization goal.The quality factor is greater than a certain value was setup as the constraint condition.Using genetic algorithm to optimize the structural parameters of the micro-perforated plate.The optimized microperforated plate structure has been improved in terms of sound absorption coefficient and quality factors.The analysis results showed that the sound absorption performance can be improved and verify the effectiveness of the random-interval mixed uncertainty model in the study of micro-perforated plate sound absorbers.It provides a novel method of the application of uncertainty theory in acoustic engineering.