振动传递路径系统的路径插入损失分析
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摘要
为了从振动传递方面着手分析机械系统的振动特性,建立了由激励源、传递路径、接受体三个子系统构成的振动传递路径系统模型.其中振动路径的传递特性直接决定着系统的输出响应特性,因此各路径对系统接受体振动响应的贡献量分析是系统减振降噪的重要环节.应用路径分离方法,提出了路径插入损失的概念,并推导了方便有效的计算公式,解决了频域内振动传递路径系统路径贡献量的度量问题.通过数值算例得出了理想的计算结果,进一步表明路径插入损失作为路径贡献量的一种评价指标,可以切实有效地分析机械振动系统各传递路径的重要程度.
In order to analyze the vibration characteristics of mechanical systems from vibration transitivity,a model of vibration transfer path system composed of excitation sources,transfer paths and recipients was established. Among the subsystems, transitivity of transfer paths determined the response characteristics of recipients and became an important part in vibration and noise reduction system. A concept of path insertion loss was proposed and the convenient and effective formula was derived using the path separation method. So the path contributions can be evaluated based on the corresponding results in frequency domain. In a numerical example,the results were satisfying,which further indicated the effectiveness of path insertion loss as an evaluation of path contribution.
In order to analyze the vibration characteristics of mechanical systems from vibration transitivity,a model of vibration transfer path system composed of excitation sources,transfer paths and recipients was established. Among the subsystems, transitivity of transfer paths determined the response characteristics of recipients and became an important part in vibration and noise reduction system. A concept of path insertion loss was proposed and the convenient and effective formula was derived using the path separation method. So the path contributions can be evaluated based on the corresponding results in frequency domain. In a numerical example,the results were satisfying,which further indicated the effectiveness of path insertion loss as an evaluation of path contribution.
引文
[1]张义民.机械振动[M].北京:清华大学出版社,2007.(Zhang Yi-min.Mechanical vibration[M].Beijing:Tsinghua University Press,2007.)
[2]严济宽,柴敏,陈小琳.振动隔离效果的评定[J].噪声与振动控制,1997(6):22-30.(Yan Ji-kuan,Chai Min,Chen Xiao-lin.Estimate of vibration isolation effect[J].Noise and Vibration Control,1997(6):22-30.)
[3]Kim S,Singh R.Multi-dimensional characterization of vibration isolators over a wide range of frequencies[J].Journal of Sound and Vibration,2001,245(5):877-913.
[4]Thite A N,Thompson D J.The quantification of structureborne transmission paths by inverse methods.part 1:improved singular value rejection methods[J].Journal of Sound and Vibration,2003,264(2):411-431.
[5]Thite A N,Thompson D J.The quantification of structureborne transmission paths by inverse methods.part 2:use of regularization techniques[J].Journal of Sound and Vibration,2003,264(2):433-451.
[6]Gunduz A,Inoue A,Singh R.Estimation of interfacial forces in time domain for linear systems[J].Journal of Sound and Vibration,2010,329(13):2616-2634.
[7]Singh R,Kim S.Examination of multi-dimensional vibration isolation measures and their correlation to sound radiation over a broad frequency range[J].Journal of Sound and Vibration,2003,262(3):419-455.
[8]赵薇,张义民.频域内振动传递路径系统的传递率研究[J].东北大学学报:自然科学版,2008,29(sup2):56-59.(Zhao Wei,Zhang Yi-min.Transfer ratio of vibration transfer path systems in frequency range[J].Journal of Northeastern University:Natural Science,2008,29(sup2):56-59.)
[9]Zhao W,Zhang Y M.Path transfer probability for vibration transfer path systems with translational and rotational motions in time range[J].Applied Mechanics and Materials,2012,121/122/123/124/125/126:4532-4536.
[2]严济宽,柴敏,陈小琳.振动隔离效果的评定[J].噪声与振动控制,1997(6):22-30.(Yan Ji-kuan,Chai Min,Chen Xiao-lin.Estimate of vibration isolation effect[J].Noise and Vibration Control,1997(6):22-30.)
[3]Kim S,Singh R.Multi-dimensional characterization of vibration isolators over a wide range of frequencies[J].Journal of Sound and Vibration,2001,245(5):877-913.
[4]Thite A N,Thompson D J.The quantification of structureborne transmission paths by inverse methods.part 1:improved singular value rejection methods[J].Journal of Sound and Vibration,2003,264(2):411-431.
[5]Thite A N,Thompson D J.The quantification of structureborne transmission paths by inverse methods.part 2:use of regularization techniques[J].Journal of Sound and Vibration,2003,264(2):433-451.
[6]Gunduz A,Inoue A,Singh R.Estimation of interfacial forces in time domain for linear systems[J].Journal of Sound and Vibration,2010,329(13):2616-2634.
[7]Singh R,Kim S.Examination of multi-dimensional vibration isolation measures and their correlation to sound radiation over a broad frequency range[J].Journal of Sound and Vibration,2003,262(3):419-455.
[8]赵薇,张义民.频域内振动传递路径系统的传递率研究[J].东北大学学报:自然科学版,2008,29(sup2):56-59.(Zhao Wei,Zhang Yi-min.Transfer ratio of vibration transfer path systems in frequency range[J].Journal of Northeastern University:Natural Science,2008,29(sup2):56-59.)
[9]Zhao W,Zhang Y M.Path transfer probability for vibration transfer path systems with translational and rotational motions in time range[J].Applied Mechanics and Materials,2012,121/122/123/124/125/126:4532-4536.