基于量子遗传支持向量机的流体惯容预测模型
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摘要
为进一步研究惯容器的实现形式与力学性能特征,研制了新型流体惯容器装置。首先,在单通道伺服激振台架上进行力学性能测试,分析其非线性因素及对力学输出的影响机理;然后,考虑采用基于统计理论的支持向量机方法建立流体惯容器的力学输出预测模型,分别研究了不同激振频率、不同位移输入条件下的流体惯容器力学性能输出;最后,利用全局搜索能力较优的量子遗传算法优化径向基函数的方差与惩罚因子,并将构建的预测模型与试验输出结果相对比。结果表明:利用支持向量机构建的流体惯容器力学输出预测结果与试验吻合良好,采用量子遗传算法优化的预测模型具有更高的预测精度,其方差降幅最大可达到61.36%,说明构建的预测模型正确合理,可为准确掌握流体惯容器动力学特性提供新思路。
In the light of the dynamic characteristics of an inerter,a new fluid inerter is designed.First,the bench tests are carried out on the hydraulic serve exciting platform and the nonlinearities and their effect on the output force are also analyzed.The predicting model of the fluid inerter by the support vector machine is established because the accurate dynamic model of fluid inerter is hard to expressed by analytical methods.Then,the force output of the fluid inerter at different frequency and displacement is investigated,and the variance of the radial basis function and the punishment factor are optimized by means of quantum genetic algorithm.Finally,the comparisons between the results obtained from the predicting model and those of the experiments show that the predicting results are in good agreement with those obtained by the tests.The optimal predicting model has a higher precision,and the amplitude is decreased by 61.36%.The predicting model successfully provides a new method to study the dynamics behavior of the fluid inerter.
In the light of the dynamic characteristics of an inerter,a new fluid inerter is designed.First,the bench tests are carried out on the hydraulic serve exciting platform and the nonlinearities and their effect on the output force are also analyzed.The predicting model of the fluid inerter by the support vector machine is established because the accurate dynamic model of fluid inerter is hard to expressed by analytical methods.Then,the force output of the fluid inerter at different frequency and displacement is investigated,and the variance of the radial basis function and the punishment factor are optimized by means of quantum genetic algorithm.Finally,the comparisons between the results obtained from the predicting model and those of the experiments show that the predicting results are in good agreement with those obtained by the tests.The optimal predicting model has a higher precision,and the amplitude is decreased by 61.36%.The predicting model successfully provides a new method to study the dynamics behavior of the fluid inerter.
引文
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[8]张剑,沈钢.惯容悬挂元件对铁路车辆垂向振动的影响[J].华东交通大学学报,2014,31(4):11-15.Zhang Jian,Shen Gang.Effects of inerter suspension components on vertical vibration of railway vehicles[J].Journal of East China Jiaotong University,2014,31(4):11-15.(in Chinese)
[9]Wang Fucheng,Hong Minfeng,Chen Chengwei.Building suspension with inerters[J].Proceedings of the Institution of Mechanical Engineers,Part C:Journal of Mechanical Engineering Science,2010,224(8):1605-1616.
[10]刘彦.基于惯容器的机械振动被动控制系统传递特性分析[J].中国舰船研究,2016,11(1):108-113.Liu Yan.Analysis of the transmission characteristics of mechanical passive control systems with the inerter[J].Chinese Journal of Ship Research,2016,11(1):108-113.(in Chinese)
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[14]Wang Fucheng,Su Weijiun.Impact of inerter nonlinearities on vehicle suspension control[J].Vehicle System Dynamics,2008,46(7):575-595.
[15]陈龙,任皓,汪若尘,等.液力式惯容器力学性能仿真与试验研究[J].振动与冲击,2014,33(12):87-92.Chen Long,Ren Hao,Wang Ruochen,et al.Simulations and tests for mechanical properties of a hydraulic inerter[J].Journal of Vibration and Shock,2014,33(12):87-92.(in Chinese)
[16]孙晓强,陈龙,汪若尘,等.滚珠丝杠式惯容器试验及力学性能预测[J].振动与冲击,2014,33(14):61-65.Sun Xiaoqiang,Chen Long,Wang Ruocheng,et al.Experiment and mechanical properties prediction on ball-screw inerter[J].Journal of Vibration and Shock,2014,33(14):61-65.(in Chinese)
[17]Swift S J,Smith M C,Glover A R.Design and modelling of a fluid inerter[J].International Journal of Control,2013,86(11):2035-2051.
[18]Wang Fucheng,Chan Hsiangan.Vehicle suspensions with a mechatronic network strut[J].Vehicle System Dynamics,2011,49(5):811-830.
[19]舒红宇,罗霜,汪明明,等.液力减振器空程冲击过程的流固耦合仿真与分析[J].振动与冲击,2015,34(21):124-128.Shu Hongyu,Luo Shuang,Wang Mingming,et al.Fluid-structure interaction simulation and analysis for oilloss-travel impact of hydraulic shock absorbers[J].Journal of Vibration and Shock,2015,34(21):124-128.(in Chinese)
[20]刘建勇,顾亮.双筒式液力减振器空程性畸变的理论分析[J].机械设计与研究,2009,25(5):23-25.Liu Jianyong,Gu Liang.Analysis on the oil loss travel distortion of dual-tube shock absorber[J].Machine Design and Research,2009,25(5):23-25.(in Chinese)
[21]薛延刚,牛广文,赵海英,等.基于时间序列模糊贴近度特征与改进SVM模型的水电机组轴心轨迹智能诊断[J].排灌机械工程学报,2017,35(12):1054-1057.Xue Yangang,Niu Guangwen,Zhao Haiying,et al.Axis orbit automatic identification on time-series similarity mining for hydropower units[J].Journal of Drainage and Irrigation Machinery Engineering,2017,35(12):1054-1057.(in Chinese)
[22]李学军,何能胜,何宽芳,等.基于小波包近似熵和SVM的圆柱滚子轴承诊断[J].振动、测试与诊断,2015,35(6):1031-1036.Li Xuejun,He Nengsheng,He Kuanfang,et al.Cylindrical roller bearing diagnosis based on wavelet packet approximate entropy and support vector machines[J].Journal of Vibration,Measurement&Diagnosis,2015,35(6):1031-1036.(in Chinese)
[23]崔守娟,张西良,徐云峰,等.基于LS-SVM的螺旋定量加料预测及试验研究[J].排灌机械工程学报,2016,34(12):1099-1104.Cui Shoujuan,Zhang Xiliang,Xu Yunfeng,et al.Experimental research and prediction of screw dosing based on least squares support vector machine[J].Journal of Drainage and Irrigation Machinery Engineering,2016,34(12):1099-1104.(in Chinese)
[24]朱成云,刘星桥,李慧,等.工厂化水产养殖溶解氧预测模型优化[J].农业机械学报,2016,47(1):273-278.Zhu Chengyun,Liu Xingqiao,Li Hui,et al.Optimization of prediction model of dissolved oxygen in industrial aquaculture[J].Transactions of the Chinese Society for Agriculture Machinery,2016,47(1):273-278.(in Chinese)
[25]夏俊,凌培亮,虞丽娟,等.基于量子遗传算法的无线传感网络路由优化[J].同济大学学报:自然科学版,2015,43(7):1097-1103.Xia Jun,Lin Peiliang,Yu Lijuan,et al.Routing optimization on wireless sensor networks based on quantum genetic algorithm[J].Journal of Tongji University:Natural Science,2015,43(7):1097-1103.(in Chinese)
[26]马晓丹,刘刚,周薇,等.基于量子遗传模糊神经网络的苹果果实识别[J].农业机械学报,2013,44(12):227-232.Ma Xiaodan,Liu Gang,Zhou Wei,et al.Apple recognition based on fuzzy neural network and quantum genetic algorithm[J].Transactions of the Chinese Society for Agriculture Machinery,2013,44(12):227-232.(in Chinese)
[2]Smith M C,Wang F C.Performance benefits in passive vehicle suspensions employing inerters[J].Vehicle System Dynamics,2004,42(4):235-257.
[3]杨晓峰,沈钰杰,陈龙,等.基于动力吸振理论的车辆被动ISD悬架设计与性能研究[J].汽车工程,2014,36(10):1262-1266.Yang Xiaofeng,Shen Yujie,Chen Long,et al.Design and performances analysis of vehicle ISD suspension based on dynamic vibration absorber theory[J].Automotive Engineering,2014,36(10):1262-1266.(in Chinese)
[4]张孝良,陈龙,聂佳梅,等.2级串联型ISD悬架频响特性分析与试验[J].江苏大学学报:自然科学版,2012,33(3):255-258.Zhang Xiaoliang,Chen Long,Nie Jiamei,et al.Analysis and experiment of frequency response characteristics of two-stage series-connected ISD suspension[J].Journal of Jiangsu University:Natural Science Edition,2012,33(3):255-258.(in Chinese)
[5]陈龙,杨晓峰,汪若尘,等.基于二元件ISD结构隔振机理的车辆被动悬架设计与性能研究[J].振动与冲击,2013,32(6):90-95.Chen long,Yang Xiaofeng,Wang Ruochen,et al.Design and performance study of vehicle passive suspension based on two-element inerter-spring-damper structure vibration isolation mechanism[J].Journal of Vibration and Shock,2013,32(6):90-95.(in Chinese)
[6]张孝良,聂佳梅,陈龙,等.基于惯容-弹簧-阻尼结构体系的被动天棚阻尼悬架系统[J].农业机械学报,2013,44(10):10-14.Zhang Xiaoliang,Nie Jiamei,Chen Long,et al.Passive skyhook-damping suspension system based on inerter-spring-damper structural system[J].Transactions of the Chinese Society for Agriculture Machinery,2013,44(10):10-14.(in Chinese)
[7]Wang Fucheng,Liao Minkai,Liao Bohuai,et al.The performance improvements of train suspension systems with mechanical networks[J].Vehicle System Dynamics,2009,47(7):805-830.
[8]张剑,沈钢.惯容悬挂元件对铁路车辆垂向振动的影响[J].华东交通大学学报,2014,31(4):11-15.Zhang Jian,Shen Gang.Effects of inerter suspension components on vertical vibration of railway vehicles[J].Journal of East China Jiaotong University,2014,31(4):11-15.(in Chinese)
[9]Wang Fucheng,Hong Minfeng,Chen Chengwei.Building suspension with inerters[J].Proceedings of the Institution of Mechanical Engineers,Part C:Journal of Mechanical Engineering Science,2010,224(8):1605-1616.
[10]刘彦.基于惯容器的机械振动被动控制系统传递特性分析[J].中国舰船研究,2016,11(1):108-113.Liu Yan.Analysis of the transmission characteristics of mechanical passive control systems with the inerter[J].Chinese Journal of Ship Research,2016,11(1):108-113.(in Chinese)
[11]温华兵,昝浩,陈宁,等.惯容器对隔振系统动态性能影响研究[J].实验力学,2015,30(4):483-490.Wen Huabing,Zan Hao,Chen Ning,et al.Study of the impact of inertia container on the dynamic properties of vibration isolation system[J].Journal of Experimental Mechanics,2015,30(4):483-490.(in Chinese)
[12]Papageorgiou C,Smith M C.Laboratory experimental testing of inerters[C]∥Proceedings of the 44th IEEEConference on Decision and Control,and the European Control Conference.Sevile,Spain:IEEE,2005:3351-3356.
[13]Wang Fucheng,Hong Minfeng,Lin Tzchain.Design and testing a hydraulic inerter[J].Proceedings of the Institution of Mechanical Engineers,Part C:Journal of Mechanical Engineering Science,2011,225(1):66-72.
[14]Wang Fucheng,Su Weijiun.Impact of inerter nonlinearities on vehicle suspension control[J].Vehicle System Dynamics,2008,46(7):575-595.
[15]陈龙,任皓,汪若尘,等.液力式惯容器力学性能仿真与试验研究[J].振动与冲击,2014,33(12):87-92.Chen Long,Ren Hao,Wang Ruochen,et al.Simulations and tests for mechanical properties of a hydraulic inerter[J].Journal of Vibration and Shock,2014,33(12):87-92.(in Chinese)
[16]孙晓强,陈龙,汪若尘,等.滚珠丝杠式惯容器试验及力学性能预测[J].振动与冲击,2014,33(14):61-65.Sun Xiaoqiang,Chen Long,Wang Ruocheng,et al.Experiment and mechanical properties prediction on ball-screw inerter[J].Journal of Vibration and Shock,2014,33(14):61-65.(in Chinese)
[17]Swift S J,Smith M C,Glover A R.Design and modelling of a fluid inerter[J].International Journal of Control,2013,86(11):2035-2051.
[18]Wang Fucheng,Chan Hsiangan.Vehicle suspensions with a mechatronic network strut[J].Vehicle System Dynamics,2011,49(5):811-830.
[19]舒红宇,罗霜,汪明明,等.液力减振器空程冲击过程的流固耦合仿真与分析[J].振动与冲击,2015,34(21):124-128.Shu Hongyu,Luo Shuang,Wang Mingming,et al.Fluid-structure interaction simulation and analysis for oilloss-travel impact of hydraulic shock absorbers[J].Journal of Vibration and Shock,2015,34(21):124-128.(in Chinese)
[20]刘建勇,顾亮.双筒式液力减振器空程性畸变的理论分析[J].机械设计与研究,2009,25(5):23-25.Liu Jianyong,Gu Liang.Analysis on the oil loss travel distortion of dual-tube shock absorber[J].Machine Design and Research,2009,25(5):23-25.(in Chinese)
[21]薛延刚,牛广文,赵海英,等.基于时间序列模糊贴近度特征与改进SVM模型的水电机组轴心轨迹智能诊断[J].排灌机械工程学报,2017,35(12):1054-1057.Xue Yangang,Niu Guangwen,Zhao Haiying,et al.Axis orbit automatic identification on time-series similarity mining for hydropower units[J].Journal of Drainage and Irrigation Machinery Engineering,2017,35(12):1054-1057.(in Chinese)
[22]李学军,何能胜,何宽芳,等.基于小波包近似熵和SVM的圆柱滚子轴承诊断[J].振动、测试与诊断,2015,35(6):1031-1036.Li Xuejun,He Nengsheng,He Kuanfang,et al.Cylindrical roller bearing diagnosis based on wavelet packet approximate entropy and support vector machines[J].Journal of Vibration,Measurement&Diagnosis,2015,35(6):1031-1036.(in Chinese)
[23]崔守娟,张西良,徐云峰,等.基于LS-SVM的螺旋定量加料预测及试验研究[J].排灌机械工程学报,2016,34(12):1099-1104.Cui Shoujuan,Zhang Xiliang,Xu Yunfeng,et al.Experimental research and prediction of screw dosing based on least squares support vector machine[J].Journal of Drainage and Irrigation Machinery Engineering,2016,34(12):1099-1104.(in Chinese)
[24]朱成云,刘星桥,李慧,等.工厂化水产养殖溶解氧预测模型优化[J].农业机械学报,2016,47(1):273-278.Zhu Chengyun,Liu Xingqiao,Li Hui,et al.Optimization of prediction model of dissolved oxygen in industrial aquaculture[J].Transactions of the Chinese Society for Agriculture Machinery,2016,47(1):273-278.(in Chinese)
[25]夏俊,凌培亮,虞丽娟,等.基于量子遗传算法的无线传感网络路由优化[J].同济大学学报:自然科学版,2015,43(7):1097-1103.Xia Jun,Lin Peiliang,Yu Lijuan,et al.Routing optimization on wireless sensor networks based on quantum genetic algorithm[J].Journal of Tongji University:Natural Science,2015,43(7):1097-1103.(in Chinese)
[26]马晓丹,刘刚,周薇,等.基于量子遗传模糊神经网络的苹果果实识别[J].农业机械学报,2013,44(12):227-232.Ma Xiaodan,Liu Gang,Zhou Wei,et al.Apple recognition based on fuzzy neural network and quantum genetic algorithm[J].Transactions of the Chinese Society for Agriculture Machinery,2013,44(12):227-232.(in Chinese)