基于多体系统传递矩阵法和遗传算法的一种物理参数识别方法
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摘要
将多体系统传递矩阵法与遗传优化算法相结合,形成了一种新的基于多体系统传递矩阵法和遗传算法的物理参数识别方法(MS-TMM&GA)。应用多体系统传递矩阵法进行动力学建模以及固有振动特性分析。将参数识别问题转化为优化问题,结合遗传算法,对由系统固有频率和增广特征矢量构造的目标函数全局最小值优化求解。给出了通过系统模态参数识别物理参数的计算步骤以及流程图。通过两个数值算例,表明了该方法的可行性及有效性。该方法对多体系统传递矩阵法和遗传算法进行了结合与拓展,无需建立复杂多体系统的总体动力学方程,涉及矩阵阶次低,即可快速获得高精度的优化计算结果。
This article proposes the investigation of the physical parameter identification problem of multibody system.Combining Transfer Matrix Method of Mulibody System(MS-TMM) and the optimization technology based on Genetic Algorithms(GA),a new physical parameter identification method(MS-TMM&GA) is introduced.The dynamic model is developed,and natural vibration of multibody system is analyzed by MS-TMM.The identification problem is exchanged for an optimization problem which is formulated as a global minimum solution of the objective function defined by parameters of natural frequency and augmented eigenvectors of multibody system.And the physical parameters are identified.The computational steps and the flow chart of physical parameter identification based on system modal parameters are presented.Two numerical examples are computed and discussed,which illustrate the feasibility and affectivity of the proposed approach.The proposed method(TMM-GA) combines and extends transfer matrix method of multibody system and genetic algorithm,with the advantages that the global dynamic equations of the complex multibody system are not needed and the orders of involved system matrices are decreased greatly,the high precision and efficiently searching optimal results can be obtained.
This article proposes the investigation of the physical parameter identification problem of multibody system.Combining Transfer Matrix Method of Mulibody System(MS-TMM) and the optimization technology based on Genetic Algorithms(GA),a new physical parameter identification method(MS-TMM&GA) is introduced.The dynamic model is developed,and natural vibration of multibody system is analyzed by MS-TMM.The identification problem is exchanged for an optimization problem which is formulated as a global minimum solution of the objective function defined by parameters of natural frequency and augmented eigenvectors of multibody system.And the physical parameters are identified.The computational steps and the flow chart of physical parameter identification based on system modal parameters are presented.Two numerical examples are computed and discussed,which illustrate the feasibility and affectivity of the proposed approach.The proposed method(TMM-GA) combines and extends transfer matrix method of multibody system and genetic algorithm,with the advantages that the global dynamic equations of the complex multibody system are not needed and the orders of involved system matrices are decreased greatly,the high precision and efficiently searching optimal results can be obtained.
引文
[1]姜丽萍,杜修力.基于经验遗传-单纯形算法和结构模态参数识别结构物理参数的方法[J].地震工程与工程振动,2007,27(4):116—121.
[2]周进,张伟,杨晓楠.基于大爆炸优化算法的结构参数识别[J].江西科学,2010,28(2):135—140.
[3]唐冰松,韩晓林.一种基于结构动态特性的物理参数识别算法及应用[J].工程力学,2009,26(6):21—26.
[4]李小华,谢礼立,公茂盛.结构物理参数识别的贝叶斯估计马尔可夫蒙特卡罗方法[J].振动与冲击,2010,29(4):59—64.
[5]芮筱亭,来峰,何斌,等.多体系统传递矩阵法及其应用[M].北京:科学出版社,2008.
[6]来峰,芮筱亭,王公廉,等.刚弹藕合多体系统物理参数的一种识别方法[J].南京理工大学学报,2006,30(4):424—428.
[7]陈国梁,王煦法,庄镇泉,等.遗传算法及其应用[M].北京:人民邮电出版社,1996.
[8]王小平,曹立明.遗传算法——理论、应用与软件实现[M].西安:西安交通大学出版社,2002.
[9]Jeong-Tae Kim,Jae-Hyung Park,Jin-Hak Lee.Application to genetic algorithm for vibration-basedamage detection in beam-type structure[A].ASMSST 2005[C].Gyeongju,Korea.
[10]曲杰,金泉林,徐秉业.以全局优化算法为基础的复杂模型参数识别理论[J].中国科学G辑,2008,38(10):1 380—1 389.
[11]陈炳瑞,杨成祥,冯夏庭,等.自适应混沌遗传混合算法及其参数敏感性分析[J].东北大学学报(自然科学版),2006,27(6):689—693.
[12]马蕾,芮筱亭,杨富锋,等.激光陀螺捷联惯导系统减振功率谱分析[J].振动工程学报,2009,22(6):603—607.
[13]杨富锋,芮筱亭,马蕾.激光陀螺捷联惯导减振系统动力学建模与仿真[J].中国惯性技术学报,2008,16(3):301—305.
[14]Xiaoting Rui,Guoping Wang,Yuqi Lu,et al.Transfer matrix method for linear multibody system[J].Multibody System Dynamics,2008,19:179—207.
[2]周进,张伟,杨晓楠.基于大爆炸优化算法的结构参数识别[J].江西科学,2010,28(2):135—140.
[3]唐冰松,韩晓林.一种基于结构动态特性的物理参数识别算法及应用[J].工程力学,2009,26(6):21—26.
[4]李小华,谢礼立,公茂盛.结构物理参数识别的贝叶斯估计马尔可夫蒙特卡罗方法[J].振动与冲击,2010,29(4):59—64.
[5]芮筱亭,来峰,何斌,等.多体系统传递矩阵法及其应用[M].北京:科学出版社,2008.
[6]来峰,芮筱亭,王公廉,等.刚弹藕合多体系统物理参数的一种识别方法[J].南京理工大学学报,2006,30(4):424—428.
[7]陈国梁,王煦法,庄镇泉,等.遗传算法及其应用[M].北京:人民邮电出版社,1996.
[8]王小平,曹立明.遗传算法——理论、应用与软件实现[M].西安:西安交通大学出版社,2002.
[9]Jeong-Tae Kim,Jae-Hyung Park,Jin-Hak Lee.Application to genetic algorithm for vibration-basedamage detection in beam-type structure[A].ASMSST 2005[C].Gyeongju,Korea.
[10]曲杰,金泉林,徐秉业.以全局优化算法为基础的复杂模型参数识别理论[J].中国科学G辑,2008,38(10):1 380—1 389.
[11]陈炳瑞,杨成祥,冯夏庭,等.自适应混沌遗传混合算法及其参数敏感性分析[J].东北大学学报(自然科学版),2006,27(6):689—693.
[12]马蕾,芮筱亭,杨富锋,等.激光陀螺捷联惯导系统减振功率谱分析[J].振动工程学报,2009,22(6):603—607.
[13]杨富锋,芮筱亭,马蕾.激光陀螺捷联惯导减振系统动力学建模与仿真[J].中国惯性技术学报,2008,16(3):301—305.
[14]Xiaoting Rui,Guoping Wang,Yuqi Lu,et al.Transfer matrix method for linear multibody system[J].Multibody System Dynamics,2008,19:179—207.
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