Operational transfer path analysis with total least-squares method

GUI Juntao; FAN Xiaobo; MAN Shilin; WU Song

doi:10.11993/j.issn.2096-3920.2025-0024

Article Contents

Article Navigation > Journal of Unmanned Undersea Systems > 2026 > Accepted Manuscript

GUI Juntao, FAN Xiaobo, MAN Shilin, WU Song. Operational transfer path analysis with total least-squares method[J]. Journal of Unmanned Undersea Systems. doi: 10.11993/j.issn.2096-3920.2025-0024

Citation:

GUI Juntao, FAN Xiaobo, MAN Shilin, WU Song. Operational transfer path analysis with total least-squares method[J]. Journal of Unmanned Undersea Systems. doi: 10.11993/j.issn.2096-3920.2025-0024

GUI Juntao, FAN Xiaobo, MAN Shilin, WU Song. Operational transfer path analysis with total least-squares method[J]. Journal of Unmanned Undersea Systems. doi: 10.11993/j.issn.2096-3920.2025-0024

Citation:

GUI Juntao, FAN Xiaobo, MAN Shilin, WU Song. Operational transfer path analysis with total least-squares method[J]. Journal of Unmanned Undersea Systems. doi: 10.11993/j.issn.2096-3920.2025-0024

PDF( 2159 KB)

Operational transfer path analysis with total least-squares method

doi: 10.11993/j.issn.2096-3920.2025-0024

The 705 Research Institute, China Shipbuilding Industry Corporation Limited, Kunming 650106, China

Received Date: 2025-02-13
Accepted Date: 2025-09-08
Rev Recd Date: 2025-09-02

Available Online: 2026-03-27

Abstract

Abstract

The operational transfer path analysis(OTPA) utilizes response data under different working conditions to decompose and predict vibration and noise, and is therefore widely used in various engineering fields. However, the response data of vibration noise inevitably contains errors, which seriously affect the accuracy of the transfer path analysis. To reduce the impact of errors and improve the accuracy of the transfer rate function matrix, the total least squares method is used to estimate the transfer rate function matrix, and then the analysis of the working condition transfer path is carried out. Compared to traditional methods, the overall least squares method takes into account the errors in both the target point and indicator point data. In numerical model simulations and experimental model of open condition transmission path analysis, least squares method and overall least squares method were applied to obtain the contribution of each path. The simulation results show that the contribution identified by the overall least squares method is more consistent with the contribution of classical transmission path analysis, indicating that compared with the regularized least squares method, the total least-squares method has better applicability in the analysis of transmission paths under working conditions, effectively improving the accuracy of transmission path analysis under working conditions.
- operational transfer path analysis,
- observation error,
- total least-squares method,
- vibration and noise

FullText(HTML)

References(25)

References

[1]	王路, 尹韶平, 曹小娟, 等. 基于Workbench响应谱分析的鱼雷振动传递优化[J]. 鱼雷技术, 2016, 24(1): 13-17. Wang L, Yin S P, Cao X J, et al. Vibration transfer optimization of torpedo based on workbench response spectrum[J]. Journal of Unmanned Undersea Systems, 2016, 24(1): 13-17.
[2]	王红瑞, 曹小娟, 尹韶平, 等. 鱼雷振动试验系统结构传递特性影响因素分析[J]. 水下无人系统学报, 2019, 27(5): 574-579. doi: 10.11993/j.issn.2096-3920.2019.05.014 Wang H R, Cao X J, Yin S P, et al. Analysis on the factors influencing structural transfer characteristic of torpedo vibration test system[J]. Journal of Unmanned Undersea Systems, 2019, 27(5): 574-579. doi: 10.11993/j.issn.2096-3920.2019.05.014
[3]	Yang S, Chang H, Wang Y, et al. A phononic crystal suspension for vibration isolation of acoustic loads in underwater gliders[J]. Applied Acoustics, 2024, 216: 109731. doi: 10.1016/j.apacoust.2023.109731
[4]	Sun Q, Yang Y, Wu P, et al. Study on the vibration-damping mechanism of a new phononic crystal suspension equipped on underwater gliders[J]. Journal of Marine Science and Engineering, 2024, 12(11): 2088. doi: 10.3390/jmse12112088
[5]	孙旭阳, 周景军, 王谦, 等. 基于声学超材料的鱼雷动力舱段减振方法[J]. 水下无人系统学报, 2024, 32(6): 1072-1081. Sun X Y, Zhou J J, Wang Q, et al. Vibration reduction method for power cabin of torpdoes based on acoustic metamaterials[J]. Journal of Unmanned Undersea Systems, 2024, 32(6): 1072-1081.
[6]	马皋, 陈亚明, 沈德明, 等. 基于工况传递路径的旋转机械振动源分析[J]. 振动与冲击, 2022, 41(17): 276-281. doi: 10.13465/j.cnki.jvs.2022.17.034 Ma G, Chen Y M, Shen D M, et al. Vibrtion source analysis of rotating machinery based on working condition transmission path[J]. Journal of Vibrtion and Shock, 2022, 41(17): 276-281. doi: 10.13465/j.cnki.jvs.2022.17.034
[7]	Acri A, Offner G, Nijman E, et al. Substructuring of multibody systems for numerical transfer path analysis in internal combustion engines[J]. Mechanical Systems and Signal Processing, 2016, 79: 254-270. doi: 10.1016/j.ymssp.2016.02.034
[8]	Oktav A, Yılmaz Ç, Anlaş G. Transfer path analysis: Current practice, trade-offs and consideration of damping[J]. Mechanical Systems and Signal Processing, 2017, 85: 760-772. doi: 10.1016/j.ymssp.2016.09.013
[9]	Thite A N, Thompson D J. The quantification of structure-borne transmission paths by inverse methods. part 2: Use of regularization techniques[J]. Journal of Sound and Vibration, 2003, 264(2): 433-451. doi: 10.1016/S0022-460X(02)01203-8
[10]	Ye S, Hou L, Zhang P, et al. Transfer path analysis and its application in low-frequency vibration reduction of steering wheel of a passenger vehicle[J]. Applied Acoustics, 2020, 157: 107021. doi: 10.1016/j.apacoust.2019.107021
[11]	Maarten V, Dennis D K, Daniel J. R. General framework for transfer path analysis: History, theory and classification of techniques[J]. Mechanical Systems and Signal Processing, 2016, 68-69: 217-244.
[12]	Lage Y E, Neves M M, Maia N M M, et al. Force transmissibility versus displacement transmissibility[J]. Journal of Sound and Vibration, 2014, 333(22): 5708-5722. doi: 10.1016/j.jsv.2014.05.038
[13]	Lage Y E, Maia N M M, Neves M M, et al. Force identification using the concept of displacement transmissibility[J]. Journal of Sound and Vibration, 2013, 332(7): 1674-1686. doi: 10.1016/j.jsv.2012.10.034
[14]	De Sitter G, Devriendt C, Guillaume P, et al. Operational transfer path analysis[J]. Mechanical Systems and Signal Processing, 2010, 24(2): 416-431. doi: 10.1016/j.ymssp.2009.07.011
[15]	Gajdatsy P, Janssens K, Desmet W, et al. Application of the transmissibility concept in transfer path analysis[J]. Mechanical Systems and Signal Processing, 2010, 24(7): 1963-1976. doi: 10.1016/j.ymssp.2010.05.008
[16]	Klerk D, Ossipov A. Operational transfer path analysis: Theory, guidelines and tire noise application[J]. Mechanical Systems and Signal Processing, 2010, 24(7): 1950-1962. doi: 10.1016/j.ymssp.2010.05.009
[17]	Choi H G, Thite A N, Thompson D J. Comparison of methods for parameter selection in tikhonov regularization with application to inverse force determination[J]. Journal of Sound and Vibration, 2007, 304(3-5): 894-917. doi: 10.1016/j.jsv.2007.03.040
[18]	Cheng W, Lu Y, Zhang Z. Tikhonov regularization-based operational transfer path analysis[J]. Mechanical Systems and Signal Processing, 2016, 75: 494-514. doi: 10.1016/j.ymssp.2015.12.025
[19]	Liu Y, Shepard W S. Dynamic force identification based on enhanced least squares and total least-squares schemes in the frequency domain[J]. Journal of Sound and Vibration, 2005, 282(1-2): 37-60. doi: 10.1016/j.jsv.2004.02.041
[20]	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 and Vibration, 2015, 358: 111-123. doi: 10.1016/j.jsv.2015.07.035
[21]	鲁铁定, 周世健. 总体最小二乘的迭代解法[J]. 武汉大学学报(信息科学版), 2010, 35(11): 1351-1354. Lu T D, Zhou S J. An iterative algorithm for total least squares estimation[J]. Geomatics and Information Science of Wuhan University, 2010, 35(11): 1351-1354.
[22]	Wang Z, Zhu P. A system response prediction approach based on global transmissibilities and its relation with transfer path analysis methods[J]. Applied Acoustics, 2017, 123: 29-46. doi: 10.1016/j.apacoust.2017.02.016
[23]	Vaitkus D, Tcherniak D, Brunskog J. Application of vibro-acoustic operational transfer path analysis[J]. Applied Acoustics, 2019, 154: 201-212. doi: 10.1016/j.apacoust.2019.04.033
[24]	唐中华, 昝鸣, 张志飞, 等. 广义Tikhonov正则化工况传递路径分析[J]. 振动与冲击, 2022, 41(24): 270-277. Tang Z H, Zan M, Zhang Z F, et al. Operational transfer path analysis with generalized Tikhonov regularization method[J]. Journal of Vibrtion and shock, 2022, 41(24): 270-277.
[25]	Shin K. An alternative approach to measure similarity between two deterministic transient signals[J]. Journal of Sound and Vibration, 2016, 371: 434-445. doi: 10.1016/j.jsv.2016.02.037