基于响应面法的螺栓预紧力压电振动传感器结构多目标优化设计  

Structural Multi-objective Optimization Design of Bolt Loose Piezoelectric Vibration Sensor Based on Response Surface Method

作　　者：谢蓉 宋坤 冉运蒸 鲁罗平 张吉庆 梁会军 廖红华 XIE Rong;SONG Kun;RAN Yunzheng;LU Luoping;ZHANG Jiqing;LIANG Huijun;LIAO Honghua(College of Intelligent Systems Science and Engineering,Hubei Minzu University,Enshi 445000,China;Enshi Power Supply Company,State Grid Hubei Electric Power Co.,Ltd.,Enshi 445000,China)

机构地区：[1]湖北民族大学智能科学与工程学院,湖北恩施445000 [2]国网湖北省电力有限公司恩施供电公司,湖北恩施445000

出　　处：《湖北民族大学学报（自然科学版）》2024年第1期92-96,共5页Journal of Hubei Minzu University:Natural Science Edition

基　　金：国家自然科学基金项目(62163013);湖北民族大学研究生教育创新项目(MYK2023075)。

摘　　要：为优化用于螺栓预紧力监测的压电式振动传感器结构参数,增大输出响应并优化其动态性能,提出以压电片最大等效应变、10 Hz传感器固有频率和传感器最小质量为优化目标,将响应面法(response surface methodology,RSM)与多目标遗传算法(multi-objective genetic algorithm,MOGA)相结合的设计方法。选取质量块厚度、悬臂梁和压电片的长度、宽度和厚度作为设计要素,采用最佳空间填充设计实验方案,构建标准响应面模型,并基于MOGA得到传感器的最佳结构参数组合,最后根据优化结果进行数值模拟验证。结果表明:优化后的悬臂梁和压电片结构尺寸分别为100.0 mm×45.0 mm×0.7 mm、45.0 mm×18.0 mm×0.7 mm,质量块厚度为15.0 mm,传感器结构谐振频率减小为9.49 Hz,输出响应增大了6.39%。该优化设计可用于螺栓预紧力的监测。In order to optimize the structural parameters of the piezoelectric vibration sensor for bolt preload monitoring to increase the output response and optimize its dynamic performance,a design method combining the response surface methodology(RSM)with the multi-objective genetic algorithm(MOGA)was proposed using the maximum equivalent strain of the piezoelectric sheet,the intrinsic frequency of the sensor at 10 Hz and the minimum mass of the sensor as the optimization objectives.The thickness of the mass block,the length,width and thickness of the cantilever beam and piezoelectric sheet were selected as the design factors,and the standard response surface model was constructed by using the optimal space-filling design experimental scheme,and the optimal structural parameter combinations of the sensor were obtained based on MOGA.Finally,numerical simulation was carried out to verify the results based on the optimization.The results showed that the optimized structural dimensions of the cantilever beam and piezoelectric sheet were 100.0 mm×45.0 mm×0.7 mm,45.0 mm×18.0 mm×0.7 mm,and the thickness of the mass block was 15.0 mm,the resonance frequency of the sensor structure was 9.49 Hz,and the output response was increased by 6.39%.The optimization design could be used for bolt preload monitoring.

关 键 词：螺栓松动 压电振动传感器 响应面法 多目标优化设计 数值模拟 

分 类 号：TH136[机械工程—机械制造及自动化]