Tikhonov regularization-based operational transfer path analysis

被引:37
作者
Cheng, Wei [1 ]
Lu, Yingying [1 ]
Zhang, Zhousuo [1 ]
机构
[1] Xi An Jiao Tong Univ, State Key Lab Mfg Syst Engn, Xian 710049, Peoples R China
基金
中国国家自然科学基金; 中国博士后科学基金;
关键词
Tikhonov regularization; Operational transfer path analysis; Ill-posed problem; Singular value decomposition; Source contribution evaluation; OPTIMIZATION; PARAMETER; IDENTIFICATION; VALIDATION; ALGORITHM; NOISE;
D O I
10.1016/j.ymssp.2015.12.025
中图分类号
TH [机械、仪表工业];
学科分类号
0802 ;
摘要
To overcome ill-posed problems in operational transfer path analysis (OTPA), and improve the stability of solutions, this paper proposes a novel OTPA based on Tikhonov regularization, which considers both fitting degrees and stability of solutions. Firstly, fundamental theory of Tikhonov regularization-based OTPA is presented, and comparative studies are provided to validate the effectiveness on ill-posed problems. Secondly, transfer path analysis and source contribution evaluations for numerical cases studies on spherical radiating acoustical sources are comparatively studied. Finally, transfer path analysis and source contribution evaluations for experimental case studies on a test bed with thin shell structures are provided. This study provides more accurate transfer path analysis for mechanical systems, which can benefit for vibration reduction by structural path optimization. Furthermore, with accurate evaluation of source contributions, vibration monitoring and control by active controlling vibration sources can be effectively carried out. (C) 2016 Elsevier Ltd. All rights reserved.
引用
收藏
页码:494 / 514
页数:21
相关论文
共 43 条
  • [1] Structural source identification using a generalized Tikhonov regularization
    Aucejo, M.
    [J]. JOURNAL OF SOUND AND VIBRATION, 2014, 333 (22) : 5693 - 5707
  • [2] Conditional gradient Tikhonov method for a convex optimization problem in image restoration
    Bouhamidi, A.
    Enkhbat, R.
    Jbilou, K.
    [J]. JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 2014, 255 : 580 - 592
  • [3] Investigations of denoising source separation technique and its application to source separation and identification of mechanical vibration signals
    Cheng, Wei
    Zhang, Zhousuo
    Lee, Seungchul
    He, Zhengjia
    [J]. JOURNAL OF VIBRATION AND CONTROL, 2014, 20 (14) : 2100 - 2117
  • [4] A Comprehensive Study of Vibration Signals for a Thin Shell Structure Using Enhanced Independent Component Analysis and Experimental Validation
    Cheng, Wei
    He, Zhengjia
    Zhang, Zhousuo
    [J]. JOURNAL OF VIBRATION AND ACOUSTICS-TRANSACTIONS OF THE ASME, 2014, 136 (04):
  • [5] Independent component analysis based source number estimation and its comparison for mechanical systems
    Cheng, Wei
    Lee, Seungchul
    Zhang, Zhousuo
    He, Zhengjia
    [J]. JOURNAL OF SOUND AND VIBRATION, 2012, 331 (23) : 5153 - 5167
  • [6] Source Contribution Evaluation of Mechanical Vibration Signals via Enhanced Independent Component Analysis
    Cheng, Wei
    Zhang, Zhousuo
    Lee, Seungchul
    He, Zhengjia
    [J]. JOURNAL OF MANUFACTURING SCIENCE AND ENGINEERING-TRANSACTIONS OF THE ASME, 2012, 134 (02):
  • [7] Operational transfer path analysis: Theory, guidelines and tire noise application
    de Klerk, D.
    Ossipov, A.
    [J]. MECHANICAL SYSTEMS AND SIGNAL PROCESSING, 2010, 24 (07) : 1950 - 1962
  • [8] Operational transfer path analysis
    De Sitter, Gert
    Devriendt, Christof
    Guillaume, Patrick
    Pruyt, Erik
    [J]. MECHANICAL SYSTEMS AND SIGNAL PROCESSING, 2010, 24 (02) : 416 - 431
  • [9] The effect of noise and Tikhonov's regularization in inverse problems. Part II: The nonlinear case
    Fernandez-Martinez, J. L.
    Pallero, J. L. G.
    Fernandez-Muniz, Z.
    Pedruelo-Gonzalez, L. M.
    [J]. JOURNAL OF APPLIED GEOPHYSICS, 2014, 108 : 186 - 193
  • [10] Application of the transmissibility concept in transfer path analysis
    Gajdatsy, P.
    Janssens, K.
    Desmet, Wim
    Van der Auweraer, H.
    [J]. MECHANICAL SYSTEMS AND SIGNAL PROCESSING, 2010, 24 (07) : 1963 - 1976