基于加权正则化的火箭发动机振动传递路径分析
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摘要
为了给火箭发动机振动控制提供依据,需要对受到多源激励的发动机进行振动传递路径分析,其主要包括载荷识别和贡献量分析两个环节。为了准确识别发动机多源激励载荷并提供可靠的振动贡献量分析结果,提出一种基于加权正则化的改进传递路径分析技术。首先,推导出了载荷识别相对误差上界,并利用加权矩阵和贝叶斯理论提高载荷识别精度,并基于此提出改进的传递路径分析理论。然后,进行某发动机地面振动试验。最后,根据所提的加权正则化载荷识别理论和参考点响应数据识别了多源激励,并计算分析了不同振源在目标点的振动贡献量。分析结果表明,相较于传统传递路径分析技术,所提方法能更准确地识别多源激励,提供更可靠的振动贡献量分析结果。
To provide a basis for vibration control of a rocket engine under multi-source excitations, it is necessary to do vibration transfer path analysis(TPA), the analysis mainly consists of load identification and vibration contribution analysis. Here, to correctly identify the engine's multi-source excitations and provide reliable analysis results of vibration contribution, an improved TPA technique based on weighted regularization was proposed. Firstly, the upper bound of load identification's relative error was derived, and the weighted matrix and Bayesian theory were adopted to improve the accuracy of load recognition, and then the improved TPA theory was proposed. Secondly, ground vibration tests of a certain rocket engine were conducted. Finally, using response data at reference points and the proposed load identification theory based on weighted regularization, multi-source excitations were identified and different source excitations' contributions to target points' vibration were calculated and analyzed. The results showed that compared with the traditional TPA technique, the proposed TPA technique can be used to more correctly identify multi-source excitations and provide more reliable vibration contribution analysis results.
To provide a basis for vibration control of a rocket engine under multi-source excitations, it is necessary to do vibration transfer path analysis(TPA), the analysis mainly consists of load identification and vibration contribution analysis. Here, to correctly identify the engine's multi-source excitations and provide reliable analysis results of vibration contribution, an improved TPA technique based on weighted regularization was proposed. Firstly, the upper bound of load identification's relative error was derived, and the weighted matrix and Bayesian theory were adopted to improve the accuracy of load recognition, and then the improved TPA theory was proposed. Secondly, ground vibration tests of a certain rocket engine were conducted. Finally, using response data at reference points and the proposed load identification theory based on weighted regularization, multi-source excitations were identified and different source excitations' contributions to target points' vibration were calculated and analyzed. The results showed that compared with the traditional TPA technique, the proposed TPA technique can be used to more correctly identify multi-source excitations and provide more reliable vibration contribution analysis results.
引文
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[2] HARRY H D L,KERN J E.Dynamic environmental criteria[S].National Aeronautics and Space Administration,2001.
[3] CHRISTENSEN E,BROWN A,FRADY G.Calculation of dynamic loads due to random vibration environemnts in rocket engine systems[C].AIAA/ASME/ASCE/AHS/ASC Structures,Structural Dynamics,and Materials Conference.Honolulu,Hawaii,2013.
[4] SEIJS M V V D,KLERK D D,RIXEN D J.General framework for transfer path analysis:history,theory and classification of techniques[J].Mechanical Systems & Signal Processing,2016,68/69:217-244.
[5] VERHEIJ J W.Measuring sound transfer through resilient mountings for separate excitation with orthogonal translations and rotations[C]//Inter-noise & Noise-con Congress Conference.Washington,1980.
[6] VERHEIJ J W.Multi-path sound transfer from resiliently mounted shipboard machinery:experimental methods for analyzing and improving noise control[C]//Inter-noise & Noise-con Congress Conference,1982.
[7] OKTAV A,YILMAZ ?,ANLA? G.Transfer path analysis:current practice,trade-offs and consideration of damping [J].Mechanical Systems & Signal Processing,2017,85:760-772.
[8] 杨智春,贾有.动载荷识别方法的研究进展[J].力学与实践,2015,45(1):29-54.YANG Zhichun,JIA You.Advance of studies on the identi-cation of dynamic load[J].Mechanics in Engineering,2015,45(1):29-54.
[9] KLERK D D,OSSIPOV A.Operational transfer path analysis:theory,guidelines and tire noise application[J].Mechanical Systems & Signal Processing,2010,24(7):1950-1962.
[10] JANSSENS K,GAJDATSY P,GIELEN L,et al.OPAX:a new transfer path analysis method based on parametric load models[J].Mechanical Systems & Signal Processing,2011,25(4):1321-1338.
[11] DOBSON B J,RIDER E.A review of the indirect calculation of excitation forces from measured structural response data[J].ARCHIVE Proceedings of the Institution of Mechanical Engineers,Part C:Journal of Mechanical Engineering Science,1990,204(2):69-75.
[12] JIA Y,YANG Z,GUO N,et al.Random dynamic load identification based on error analysis and weighted total least squares method[J].Journal of Sound & Vibration,2015,358(3):111-123.
[13] AUCEJO M,SMET O D.Bayesian source identification using local priors[J].Mechanical Systems & Signal Processing,2015,66:120-136.
[14] HANSEN P C,OLEARY D P.The use of the L-curve in the regularization of discrete ill-posed problems[J].SIAM Journal on Scientific Computing,1993,14(6):1487-1503.
[15] GOLUB G H,HEATH M,WAHBA G.Generalized cross-validation as a method for choosing a good ridge parameter[J].Technometrics,1979,21(2):215-223.
[16] TIKHONOV A N,ARSENIN V Y.Solution of ill-posed problems[J].Mathematics of Computation,1977,32(144):491-491.
[17] FLEMMING J.Generalized tikhonov regularization:basic theory and comprehensive results on convergence rates[D].Chemnitz:Technische Universit?t Chemnitz,2011.