多点适调纯模态实验中激振器最优布置
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- 英文论文题名：Optimum Exciter Amplitude and Placement in Phase Resonance Testing
- 论文作者：陈伟 ; 沈高飞 ; 郝连奎 ; 宋汉文
- 英文论文作者：Chen wei ; Shen gaofei ; Hao liankui ; Song hanwen ; School of Aerospace Engineering and Applied Mechanics ; Tongji University ; Donghua Test Technology Company Limited
- 年：2016
- 作者机构：同济大学航空航天与力学学院;东华测试技术股份有限公司;
- 论文关键词：纯模态 ; 激振器配置 ; 特征向量 ; 解析调力
- 英文论文关键词：pure modal test ; optimum placement ; eigenvector ; analysis adjust force
- 会议召开时间：2016-08-12
- 会议录名称：第十六届全国模态分析与试验学术会议论文集
- 语种：中文
- 分类号：TB534
- 学会代码：ZGZH
- 会议名称：第十六届全国模态分析与试验学术会议
- 会议地点：中国天津
- 主办单位：中国振动工程学会模态分析与试验专业委员会
- 学会名称：中国振动工程学会
- 页数：10
- 文件大小：646k
- 原文格式：D
- 会议级别：全国
摘要
本文提出了一种基于测试结构先验知识预测纯模态试验(相位共振试验)中激振器力幅比例和位置的方法。当激振器数量和位置确定时,将求解激振器力幅比例的问题转变为求解矩阵广义特征值和特征向量的问题,最大特征值对应的特征向量即激振器最优的力幅比例。建立模态纯度指示函数,在力幅最优的前提下比较所有可能位置下的模态纯度指示函数,通过比较模态纯度函数确定激振器的位置,为纯模态实验提供了一种解析调力方案。最后对一个多自由度离散悬臂梁进行仿真,验证了理论的可靠性。
A method that is based on priori knowledge of the test structure to predict optimum exciter placement and exciting force ratio in pure modal test is demonstrated in this paper. When the number and placement of exciters are determined,the question of finding the optimum exciting force ratio will be converted into solving the generalized eigenvalue and eigenvector problem of matrixes. The eigenvector corresponding to the maximum eigenvalue is the optimum exciting force amplitude ratio. Establish a modal purity indicator function. Then compare modal purity indicator functions of all possible positions in condition that exciting force amplitude ratio is optimum. The optimum placement of exciters is determined by comparing the values of all modal purity indicator functions. The method is presented as a kind of analysis adjust force method in pure modal test. Finally,an example of a discrete cantilever beam with 20 degree-of-freedom using this methodology to predict optimum exciter placement and exciting force ratio is presented to prove the reliability.
A method that is based on priori knowledge of the test structure to predict optimum exciter placement and exciting force ratio in pure modal test is demonstrated in this paper. When the number and placement of exciters are determined,the question of finding the optimum exciting force ratio will be converted into solving the generalized eigenvalue and eigenvector problem of matrixes. The eigenvector corresponding to the maximum eigenvalue is the optimum exciting force amplitude ratio. Establish a modal purity indicator function. Then compare modal purity indicator functions of all possible positions in condition that exciting force amplitude ratio is optimum. The optimum placement of exciters is determined by comparing the values of all modal purity indicator functions. The method is presented as a kind of analysis adjust force method in pure modal test. Finally,an example of a discrete cantilever beam with 20 degree-of-freedom using this methodology to predict optimum exciter placement and exciting force ratio is presented to prove the reliability.
引文
[1]赵淳生,周传荣.机械振动参数辨识及其应用[M].北京:科学出版社,1989.
[2]李旺益.纯模态激光测试法的研究[D].南京航空航天大学,2008.
[3]Wrisley R D L A.A System for the Excitation of Pure Natural Mode of Complex Structures[J].Aeronautical Sciences.1950,17(11).
[4]赵淳生.法国PRODERA公司的多点激振系统—微机在结构模态试验中的应用[J].振动.测试与诊断.1984(06):1-5.
[5]Wright J R,Holmes P S,Desforges M J,et al.Optimum exciter placement for normal mode force appropriation[J].Proceedings of the Institution of Mechanical E...1998.
[6]张益松,伊立言.多点调力法激励纯模态的新方案研究[J].航空动力学报.1989(1).
[7]郭家骅,陈怀海,贺旭东.纯模态试验中的作动器/传感器优化配置[J].南京航空航天大学学报.2006(02):192-195.
[8]罗银淼.模态迭代技术的试验研究[J].振动与冲击.2011(05):88-89.
[9]孟霞,李喆,王德禹.复合材料板架结构中纯模态试验技术的应用[J].噪声与振动控制.2013(02):198-200.
[10]杨勇,黄瑞泉.基于LMS模态采集分析系统的飞机操纵面固有频率的测试方法[Z].中国陕西西安:20083.
[11]孟霞.复合材料板架结构纯模态试验及有限元模型修正[D].上海交通大学,2013.Xia Meng.上海交通大学,2013.
[12]Bucher I,Braun S.Left eigenvectors:Extraction from measurements and physical interpretation[J].JOURNAL OF APPLIED MECHANICS-TRANSACTIONS OF THE ASME.1997,64(1).
[13]Ott D,Van Der Anweraer.Enhanced force vector appropriation methods for normal mode testing[J].the 17th International Seminar on Modal Analysis.1992:643-658.
[14]黄琳.系统与控制理论中的线性代数[M].1.北京:科学出版社,1984.
[15]Gladwell G M L.Inverse Problems in Vibration[M].Springer Netherlands:Solid Mechanics and Its Applications,2005.
[2]李旺益.纯模态激光测试法的研究[D].南京航空航天大学,2008.
[3]Wrisley R D L A.A System for the Excitation of Pure Natural Mode of Complex Structures[J].Aeronautical Sciences.1950,17(11).
[4]赵淳生.法国PRODERA公司的多点激振系统—微机在结构模态试验中的应用[J].振动.测试与诊断.1984(06):1-5.
[5]Wright J R,Holmes P S,Desforges M J,et al.Optimum exciter placement for normal mode force appropriation[J].Proceedings of the Institution of Mechanical E...1998.
[6]张益松,伊立言.多点调力法激励纯模态的新方案研究[J].航空动力学报.1989(1).
[7]郭家骅,陈怀海,贺旭东.纯模态试验中的作动器/传感器优化配置[J].南京航空航天大学学报.2006(02):192-195.
[8]罗银淼.模态迭代技术的试验研究[J].振动与冲击.2011(05):88-89.
[9]孟霞,李喆,王德禹.复合材料板架结构中纯模态试验技术的应用[J].噪声与振动控制.2013(02):198-200.
[10]杨勇,黄瑞泉.基于LMS模态采集分析系统的飞机操纵面固有频率的测试方法[Z].中国陕西西安:20083.
[11]孟霞.复合材料板架结构纯模态试验及有限元模型修正[D].上海交通大学,2013.Xia Meng.上海交通大学,2013.
[12]Bucher I,Braun S.Left eigenvectors:Extraction from measurements and physical interpretation[J].JOURNAL OF APPLIED MECHANICS-TRANSACTIONS OF THE ASME.1997,64(1).
[13]Ott D,Van Der Anweraer.Enhanced force vector appropriation methods for normal mode testing[J].the 17th International Seminar on Modal Analysis.1992:643-658.
[14]黄琳.系统与控制理论中的线性代数[M].1.北京:科学出版社,1984.
[15]Gladwell G M L.Inverse Problems in Vibration[M].Springer Netherlands:Solid Mechanics and Its Applications,2005.
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