| Citation: | SU Zixian, HAN Dong, CUI Zhao. Helicopter rotor blade model updating method based on sensitivity analysis[J]. Journal of Aerospace Power, 2024, 39(11):20220869 doi: 10.13224/j.cnki.jasp.20220869 |
In order to reduce the deviation between the modal response results of the finite element model and the actual model of the helicopter rotor blade structure, a model updating method based on sensitivity analysis was used. In view of traditional sensitivity method without consideration of the influence of the change of design parameters on the sensitivity calculation results, as well as the problem of non-uniform quantification, the method was appropriately improved for the helicopter rotor blade model. Taking the carbon fiber composite helicopter rotor blade model as an example, the natural frequencies of the first six modes of the actual model and the finite element analysis model were obtained through experiments and finite element analysis, respectively, and the main design parameters of the finite element model of the rotor blade were optimized by using the sensitivity method. The average error between the rotor blade finite element model and the actual model was reduced from 8.15% to less than 1%. The error was significantly reduced and the accuracy was significantly improved. The updating results showed that the model updating method based on sensitivity analysis can effectively improve the accuracy of the helicopter propeller structure model.
| [1] |
MOTTERSHEAD J E,FRISWELL M I. Model updating in structural dynamics: a survey[J]. Journal of Sound Vibration,1993,167(2): 347-375. doi: 10.1006/jsvi.1993.1340
|
| [2] |
朱安文,曲广吉,高耀南,等. 结构动力模型修正技术的发展[J]. 力学进展,2002,32(3): 337-348. ZHU Anwen,QU Guangji,GAO Yaonan,et al. A survey of the modifying techniques of structure dynamic models[J]. Advances In Mechanics,2002,32(3): 337-348. (in Chinese doi: 10.3321/j.issn:1000-0992.2002.03.002
ZHU Anwen, QU Guangji, GAO Yaonan, et al. A survey of the modifying techniques of structure dynamic models[J]. Advances In Mechanics, 2002, 32(3): 337-348. (in Chinese) doi: 10.3321/j.issn:1000-0992.2002.03.002
|
| [3] |
GRAVITZ S I. An analytical procedure for orthogonalization of experimentally measured modes[J]. Journal of the Aerospace Sciences,1958,25(11): 721-722. doi: 10.2514/8.7855
|
| [4] |
IMREGUN M,VISSER W J. A review of model updating techniques[J]. Shock and Vibration Digest,1991,23: 141-162.
|
| [5] |
PARK W,KIM H K,JONGCHIL P. Finite element model updating for a cable-stayed bridge using manual tuning and sensitivity-based optimization[J]. Structural Engineering International,2012,22(1): 14-19. doi: 10.2749/101686612X13216060212870
|
| [6] |
MACHADO M R,ADHIKARI S,DOS SANTOS J M C,et al. Estimation of beam material random field properties via sensitivity-based model updating using experimental frequency response functions[J]. Mechanical Systems and Signal Processing,2018,102: 180-197. doi: 10.1016/j.ymssp.2017.08.039
|
| [7] |
陈德成,魏震松,曲广吉,等. 有限元模型修正技术的工程应用[J]. 中国工程科学,2001,3(10): 59-63. CHEN Decheng,WEI Zhensong,QU Guangji,et al. Engineering application of FEM updating technology[J]. Engineering Science,2001,3(10): 59-63. (in Chinese doi: 10.3969/j.issn.1009-1742.2001.10.011
CHEN Decheng, WEI Zhensong, QU Guangji, et al. Engineering application of FEM updating technology[J]. Engineering Science, 2001, 3(10): 59-63. (in Chinese) doi: 10.3969/j.issn.1009-1742.2001.10.011
|
| [8] |
魏锦辉,任伟新. 基于响应面方法的桥梁静动力有限元模型修正[J]. 公路交通科技,2015,32(2): 68-73. WEI Jinhui,REN Weixin. Static and dynamic bridge finite element model updating based on response surface method[J]. Journal of Highway and Transportation Research and Development,2015,32(2): 68-73. (in Chinese doi: 10.3969/j.issn.1002-0268.2015.02.011
WEI Jinhui, REN Weixin. Static and dynamic bridge finite element model updating based on response surface method[J]. Journal of Highway and Transportation Research and Development, 2015, 32(2): 68-73. (in Chinese) doi: 10.3969/j.issn.1002-0268.2015.02.011
|
| [9] |
翁顺,朱宏平. 基于有限元模型修正的土木结构损伤识别方法[J]. 工程力学,2021,38(3): 1-16. WENG Shun,ZHU Hongping. Damage identification of civil structures based on finite element model updating[J]. Engineering Mechanics,2021,38(3): 1-16. (in Chinese doi: 10.6052/j.issn.1000-4750.2020.06.ST02
WENG Shun, ZHU Hongping. Damage identification of civil structures based on finite element model updating[J]. Engineering Mechanics, 2021, 38(3): 1-16. (in Chinese) doi: 10.6052/j.issn.1000-4750.2020.06.ST02
|
| [10] |
MOTTERSHEAD J E,LINK M,FRISWELL M I. The sensitivity method in finite element model updating: a tutorial[J]. Mechanical Systems and Signal Processing,2011,25(7): 2275-2296. doi: 10.1016/j.ymssp.2010.10.012
|
| [11] |
ESFANDIARI A,BAKHTIARI-NEJAD F,RAHAI A,et al. Structural model updating using frequency response function and quasi-linear sensitivity equation[J]. Journal of Sound Vibration,2009,326(3/4/5): 557-573.
|
| [12] |
PETERSEN Ø W,ØISETH O. Sensitivity-based finite element model updating of a pontoon bridge[J]. Engineering Structures,2017,150: 573-584. doi: 10.1016/j.engstruct.2017.07.025
|
| [13] |
BARTILSON D T,JANG J,SMYTH A W. Finite element model updating using objective-consistent sensitivity-based parameter clustering and Bayesian regularization[J]. Mechanical Systems and Signal Processing,2019,114: 328-345. doi: 10.1016/j.ymssp.2018.05.024
|
| [14] |
BAYBORDI S,ESFANDIARI A. A novel sensitivity-based finite element model updating and damage detection using time domain response[J]. Journal of Sound and Vibration,2022,537: 117187. doi: 10.1016/j.jsv.2022.117187
|
| [15] |
ZHU Hongping,LI Jiajing,TIAN Wei,et al. An enhanced substructure-based response sensitivity method for finite element model updating of large-scale structures[J]. Mechanical Systems and Signal Processing,2021,154: 107359. doi: 10.1016/j.ymssp.2020.107359
|
| [16] |
ESFANDIARI A,SANAYEI M. More insight on function-weighted frequency response function sensitivity method for analytical model updating[J]. Journal of Sound and Vibration,2021,509: 116143. doi: 10.1016/j.jsv.2021.116143
|
| [17] |
IZADI A,ESFANDIARI A. Structural damage identification by a sensitivity-based finite element model updating method using transmissibility function data[J]. Ships and Offshore Structures,2023,18(10): 1415-1428. doi: 10.1080/17445302.2022.2120296
|
| [18] |
李效法. 基于灵敏度分析的模型修正研究及其实现[D]. 南京: 南京航空航天大学,2007. LI Xiaofa. Some study of model updating based on sensitivity analysis and its realization[D]. Nanjing: Nanjing University of Aeronautics and Astronautics,2007. (in Chinese
LI Xiaofa. Some study of model updating based on sensitivity analysis and its realization[D]. Nanjing: Nanjing University of Aeronautics and Astronautics, 2007. (in Chinese)
|
| [19] |
张淼. 基于模态参数灵敏度的模型修正方法研究[J]. 长春工程学院学报(自然科学版),2019,20(3): 118-125. ZHANG Miao. Research on methods of finite element model updating based on modal parameter sensitivity[J]. Journal of Changchun Institute of Technology (Natural Sciences Edition),2019,20(3): 118-125. (in Chinese
ZHANG Miao. Research on methods of finite element model updating based on modal parameter sensitivity[J]. Journal of Changchun Institute of Technology (Natural Sciences Edition), 2019, 20(3): 118-125. (in Chinese)
|
| [20] |
张开银,许灿,张斌,等. 基于设计参数灵敏度分析的模型修正方法研究[J]. 武汉理工大学学报(交通科学与工程版),2021,45(6): 1128-1132. ZHANG Kaiyin,XU Can,ZHANG Bin,et al. Research on model correction method based on sensitivity analysis of design parameters[J]. Journal of Wuhan University of Technology (Transportation Science & Engineering),2021,45(6): 1128-1132. (in Chinese
ZHANG Kaiyin, XU Can, ZHANG Bin, et al. Research on model correction method based on sensitivity analysis of design parameters[J]. Journal of Wuhan University of Technology (Transportation Science & Engineering), 2021, 45(6): 1128-1132. (in Chinese)
|
| [21] |
NELSON R B. Simplified calculation of eigenvector derivatives[J]. AIAA Journal,1976,14(9): 1201-1205. doi: 10.2514/3.7211
|
| [22] |
胡斌. 基于灵敏度分析的模型修正方法在隔震桥梁的运用[J]. 华南地震,2014,34(增刊1): 53-56. HU Bin. Application of model updating based on sensitivity analysis in isolated bridge[J]. South China Journal of Seismology,2014,34(Suppl.1): 53-56. (in Chinese
HU Bin. Application of model updating based on sensitivity analysis in isolated bridge[J]. South China Journal of Seismology, 2014, 34(Suppl.1): 53-56. (in Chinese)
|