Maxwell分数阶黏弹性缓冲系统代理模型可视化研究  

Visualization of Maxwell fractional-order viscoelastic buffer system proxy model

作　　者：孙宝[1] 郭娜 姜旭磊 张丽静 王露梅 廖天自 SUN Bao;GUO Na;JIANG Xulei;ZHANG Lijing;WANG Lumei;LIAO Tianzi(School of Applied Science,Taiyuan University of Science and Technology,Taiyuan 030024,Shanxi,China)

机构地区：[1]太原科技大学应用科学学院,山西太原030024

出　　处：《中国工程机械学报》2023年第2期122-127,共6页Chinese Journal of Construction Machinery

基　　金：国家大学生创新创业训练计划资助项目(20221010923);国家自然科学基金资助项目(51805347);中国博士后科学基金资助项目(2019M661058)。

摘　　要：工程车辆由于工况的特殊性,在作业时会产生剧烈的振动和噪声,黏弹性缓冲材料因具有高效的减振缓冲能力被广泛应用于车辆的减振控制中。以Maxwell分数阶黏弹性振子作为研究对象,运用分数代数及本构理论,构建基于Maxwell分数阶的黏弹性缓冲系统模型,并依据分数阶黏弹性模型间的参数关系,基于Kriging模型对复杂的分数阶模型进行代理。同时将分数阶代理模型与Matlab GUI技术相融合,搭建分数阶Maxwell代理模型的可视化平台,获得Kriging代理模型结果及误差的可视化效果。结果表明:通过Kriging模型进行代理后均方根误差为0.1996,决定系数为0.9672,具有较好的拟合性能,可有效解决求解复杂分数阶黏弹性模型的难题,为工程应用提供便利。Due to the particularity of the working conditions,the construction vehicles will produce intense vibration and noise in the operation.Viscoelastic buffer materials are widely used in the vibration reduction control of vehicles because of their high efficiency of vibration reduction and buffering.Taking Maxwell fractional viscoelastic oscillators as the research object,a viscoelastic buffer system model based on Maxwell fractional order is constructed by using fractional algebra and constitutive theory.According to the parameter relationship between fractional viscoelastic models,the complex fractional order model is surrogate based on Kriging model.At the same time,the fractional agent model is integrated with Matlab GUI technology to build the visualization platform of fractional Maxwell agent model,and obtain the visualization effect of Kriging agent model results and errors.The results show that the root mean square error of Kriging model is 0.1996 and the coefficient of determination is 0.9672,which has a good fitting performance.It can effectively solve the problem of solving complex fractional viscoelastic model and provide convenience for engineering application.

关 键 词：黏弹性缓冲系统 分数阶 代理模型 可视化 

分 类 号：O241.8[理学—计算数学]