Dynamic Characteristics Prediction of Launch Vehicles Based on the Equivalent Beam Model

PIAO Siyang; ZHU Chunyan; CHU Fuyun; ZHANG Yahui

doi:10.21656/1000-0887.400256

Volume 41 Issue 3

Turn off MathJax

Article Contents

Article Navigation > Applied Mathematics and Mechanics > 2020 > 41(3): 280-291

PIAO Siyang, ZHU Chunyan, CHU Fuyun, ZHANG Yahui. Dynamic Characteristics Prediction of Launch Vehicles Based on the Equivalent Beam Model[J]. Applied Mathematics and Mechanics, 2020, 41(3): 280-291. doi: 10.21656/1000-0887.400256

Citation:

PDF( 1469 KB)

Dynamic Characteristics Prediction of Launch Vehicles Based on the Equivalent Beam Model

doi: 10.21656/1000-0887.400256

¹State Key Laboratory of Structural Analysis for Industrial Equipment, Dalian University of Technology, Dalian, Liaoning 116024, P.R.China;²Aerospace System Engineering Shanghai, Shanghai 201108, P.R.China

Funds: The National Natural Science Foundation of China(11672060)

Received Date: 2019-08-30
Rev Recd Date: 2019-09-18
Publish Date: 2020-03-01

Abstract

Abstract

An efficient and accurate method was proposed for dynamic characteristics prediction of launch vehicles based on the equivalent beam model, with which the influence of liquid propellants can be considered. The equivalent beam model for the launch vehicle was established based on the cross-sectional area equivalence principle, and improved through model updating against the natural frequencies and mode shapes of the fine finite element model. The present method was validated through computation of a certain type of launch vehicles. A highly representative equivalent beam model for the launch vehicle was established. The dynamic characteristics of the launch vehicle were predicted based on the equivalent beam model under the influence of liquid propellants in 2 ways of the lumped mass method and the coupled mass method, and the results were compared.
- launch vehicle,
- equivalent beam model,
- liquid propellant,
- model updating,
- model reduction

FullText(HTML)

References(29)

References

[1]	王毅, 朱礼文, 王明宇, 等. 大型运载火箭动力学关键技术及其进展综述[J]. 导弹与航天运载技术, 2000,〖STHZ〗 1: 29-37.(WANG Yi, ZHU Liwen, WANG Mingyu, et al. Summary of some key technologies on dynamics of large launch vehicle[J]. Missiles and Space Vehicles,2000,1: 29-37.(in Chinese))
[2]	邱吉宝, 王建民. 运载火箭模态试验仿真技术研究新进展[J]. 宇航学报, 2007,28(3): 515-521.(QIU Jibao, WANG Jianmin. The recent progresses on research into modal test simulation techniques for launch vehicles[J]. Journal of Astronautics,2007,28(3): 515-521.(in Chinese))
[3]	潘忠文, 曾耀祥, 廉永正, 等. 运载火箭结构动力学模拟技术研究进展[J]. 力学进展, 2012,42(4): 406-415.(PAN Zhongwen, ZENG Yaoxiang, LIAN Yongzheng, et al. Reviews in structural dynamics analogy technique of launch vehicle[J]. Advances in Mechanics,2012,42(4): 406-415.(in Chinese))
[4]	潘忠文, 王旭, 邢誉峰, 等. 基于梁模型的火箭纵横扭一体化建模技术[J]. 宇航学报, 2010,31(5): 1310-1316.(PAN Zhongwen, WANG Xu, XING Yufeng, et al. A beam model based longitudinal-lateral-torsional integrated modeling technique for launch vehicle[J]. Journal of Astronautics,2010,31(5): 1310-1316.(in Chinese))
[5]	邢誉峰, 潘忠文, 杨阳. 蒙皮加筋圆柱壳弯曲频率的三种计算模型[J]. 北京航空航天大学学报, 2012,38(4): 438-443.(XING Yufeng, PAN Zhongwen, YANG Yang. Three solution models of lateral frequencies of stiffening cylindrical shell[J]. Journal of Beijing University of Aeronautics and Astronautics,2012,38(4): 438-443.(in Chinese))
[6]	潘忠文, 邢誉峰, 杨阳. 蒙皮加筋圆柱壳扭转频率的三种计算模型[J]. 北京航空航天大学学报, 2011,37(9): 1156-1159.(PAN Zhongwen, XING Yufeng, YANG Yang. Three analysis models of torsional frequency of stiffening cylindrical shell[J]. Journal of Beijing University of Aeronautics and Astronautics,2011,37(9): 1156-1159.(in Chinese))
[7]	潘忠文, 王小军, 马兴瑞, 等. 基于梁模型的蒙皮加筋结构纵横扭一体化建模研究[J]. 中国科学: 技术科学, 2014,44(5): 517-524.(PAN Zhongwen, WANG Xiaojun, MA Xingrui, et al. Longitudinal-lateral-torsional integrated modeling based on a beam model for skin-stiffened structure[J]. Scientia Sinica: Technologica,2014,44(5): 517-524.(in Chinese))
[8]	CHENG G D, CAI Y W, XU L. Novel implementation of homogenization method to predict effective properties of periodic materials[J]. Acta Mechanica Sinica,2013,29(4): 550-556.
[9]	郑淑飞, 丁桦. 基于变形修正的局部刚体化动力模型简化方法[J]. 力学与实践, 2008,30(6): 31-34.(ZHENG Shufei, DING Hua. A model reduction method for dynamic analysis based on deformation modification and local rigid body mode[J]. Mechanics in Engineering,2008,30(6): 31-34.(in Chinese))
[10]	王文胜, 程耿东, 郝鹏. 基于超梁降阶模型的蒙皮加筋圆柱壳频率分析[J]. 固体火箭技术, 2015,38(3): 401-406.(WANG Wensheng, CHENG Gengdong, HAO Peng. Frequency analysis of stiffened cylindrical shell based on reduced super beam model[J]. Journal of Solid Rocket Technology,2015,38(3): 401-406.(in Chinese))
[11]	李玉韦, 郝鹏, 王博, 等. 基于本征正交分解的网格加筋筒壳模型降阶方法[J]. 固体力学学报, 2019,40(4): 334-341.(LI Yuwei, HAO Peng, WANG Bo, et al. A model-reduction method based on proper orthogonal decomposition for stiffened shells[J]. Acta Mechanica Solida Sinica,2019,40(4): 334-341.(in Chinese))
[12]	WANG B, LI Y W, HAO P, et al. Free vibration analysis of beam-type structures based on novel reduced order model[J]. AIAA Journal,2017,55(9): 3143-3152.
[13]	李玉韦, 王博, 程耿东. 基于新型降阶模型的网格加筋圆柱壳频率分析[J]. 宇航总体技术, 2017,1(1): 41-48.(LI Yuwei, WANG Bo, CHENG Gengdong. Frequency analysis of stiffened cylinder based on novel reduced order model[J]. Astronautical Systems Engineering Technology,2017,1(1): 41-48.(in Chinese))
[14]	王博, 田阔, 郑岩冰, 等. 超大直径网格加筋筒壳快速屈曲分析方法[J]. 航空学报, 2017,38(2): 183-191.(WANG Bo, TIAN Kuo, ZHENG Yanbing, et al. A rapid buckling analysis method for large-scale grid-stiffened cylindrical shells[J]. Acta Aeronautica et Astronautica Sinica,2017,38(2): 183-191.(in Chinese))
[15]	HAO P, WANG B, TIAN K, et al. Fast procedure for non-uniform optimum design of stiffened shells under buckling constraint[J]. Structural and Multidisciplinary Optimization,2017,55(4): 1503-1516.
[16]	WANG B, TIAN K, HAO P, et al. Numerical-based smeared stiffener method for global buckling analysis of grid-stiffened composite cylindrical shells[J]. Composite Structures,2016,152: 807-815.
[17]	潘忠文. 运载火箭动力学建模及振型斜率预示技术[J]. 中国科学: 技术科学, 2009,39(3): 469-473.(PAN Zhongwen. Dynamic modeling and mode slope prediction technology of launch vehicle[J]. Scientia Sinica: Technologica,2009,39(3): 469-473.(in Chinese))
[18]	潘忠文, 邢誉峰, 朱礼文, 等. 运载火箭动力学建模中液体推进剂模拟技术[J]. 中国科学: 技术科学, 2010,40(8): 920-928.(PAN Zhongwen, XING Yufeng, ZHU Liwen, et al. Liquid propellant analogy technique in dynamic modeling of launch vehicle[J]. Scientia Sinica: Technologica,2010,40(8): 920-928.(in Chinese))
[19]	林宏, 罗恒, 潘忠文, 等. 运载火箭动特性有限元模型修正技术研究[J]. 载人航天, 2011,17(6): 30-34.(LIN Hong, LUO Heng, PAN Zhongwen, et al. Research on dynamic FEM model updating technique of launch vehicle[J]. Manned Spaceflight,2011,17(6): 30-34.(in Chinese))
[20]	王建民, 吴艳红, 张忠, 等. 运载火箭全箭动特性三维建模技术[J]. 中国科学: 技术科学, 2014,44(1): 50-61.(WANG Jianmin, WU Yanhong, ZHANG Zhong, et al. Three-dimensional modeling technology for dynamic characteristics of the launch vehicle[J]. Scientia Sinica: Technologica,2014,44(1): 50-61.(in Chinese))
[21]	邓魁英, 王毅. 火箭动特性的缩比模型及建模分析[J]. 导弹与航天运载技术, 2003,3: 6-12.(DENG Kuiying, WANG Yi. Studies on the scaled model and mathematical model for the overall dynamic characteristics of launch vehicle[J]. Missiles and Space Vehicles,2003,3: 6-12.(in Chinese))
[22]	李道奎, 刘林, 万军. 牵制释放过程中火箭液体推进剂的建模研究[J]. 强度与环境, 2008,35(6): 14-18.(LI Daokui, LIU Lin, WAN Jun. Study of the model of rocket’s liquid propellant in the process of hold-down and release[J]. Structure & Environment Engineering,2008,35(6): 14-18.(in Chinese))
[23]	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.
[24]	FRISWELL M I, MOTTERSHEAD J E. Finite Element Model Updating in Structural Dynamics [M]. Dordrecht: Kluwer Academic Publishers, 1995.
[25]	袁爱民. 基于灵敏度分析的有限元模型修正技术若干关键问题研究[D]. 博士学位论文. 南京: 东南大学, 2006.(YUAN Aimin. Studies on several key problems of finite element model updating based on the sensitivity analysis[D]. PhD Thesis. Nanjing: Southeast University, 2006.(in Chinese))
[26]	BARUCH M, BAR ITZHACK I Y. Optimal weighted orthogonalization of measured modes[J]. AIAA Journal,1978,16(4): 346-351.
[27]	KWON K S, LIN R M. Frequency selection method for FRF-based model updating[J]. Journal of Sound and Vibration,2004,278(1): 285-306.
[28]	LEVIN R I, LIEVEN N A J, LOWENBERG M H. Measuring and improving neural network generalization for model updating[J]. Journal of Sound and Vibration,2000,238(3): 401-424.
[29]	HUA H, SOL H, DE WILDE W P. On a statistical optimization method used in finite element model updating[J]. Journal of Sound and Vibration,2000,231(4): 1071-1078.