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Academic article

A Fast Prediction Method for Time-Varying Modal Parameters of Missile and Rocket Based on Finite Element Method

  • YU Lei , 1, 2 ,
  • MA Qinghua 1, 2 ,
  • WANG Zhiyi 1, 2 ,
  • LI Zeyang 1, 2
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  • 1 National Key Laboratory of Land and Air Based Information Perception and Control,Xi’an 710065, Shaanxi, China
  • 2 Xi’an Modern Control Technology Research Institute,Xi’an 710065, Shaanxi, China

Received date: 2024-06-13

  Online published: 2026-01-24

Abstract

The modal parameters of large-scale missile and rocket systems are generally obtained through finite element analysis and ground vibration tests.Due to the inability to simulate the time-varying characteristics of the system under flight conditions,it is usually necessary to conduct finite element modeling or ground vibration tests based on several characteristic conditions,and finally obtain the flight modal frequency through numerical interpolation.The repeated modeling and ground testing process is time-consuming and laborious.This article presents a fast prediction method for time-varying modal parameters of missile and rocket,which is based on the concentrated mass beam model and finite element method.This method introduces time-varying mass matrix,stiffness matrix,and damping matrix to describe the time-varying system,which can quickly provide the time-varying modal frequency parameters of the system.This method has been validated through ground vibration test and flight test,the results show that this method can reliably simulate the time-varying modal parameters of the system,effectively solving the pain points of the tedious simulation of time-varying systems.Moreover,the time-varying dynamic response data obtained based on this method can be used for dynamic inverse problems such as the modal consistency analysis and load identification.

Cite this article

YU Lei , MA Qinghua , WANG Zhiyi , LI Zeyang . A Fast Prediction Method for Time-Varying Modal Parameters of Missile and Rocket Based on Finite Element Method[J]. Journal of Projectiles, Rockets, Missiles and Guidance, 2025 , 45(6) : 971 -977 . DOI: 10.15892/j.cnki.djzdxb.2025.06.001

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[1]
曹树谦, 张文德, 萧龙翔. 振动结构模态分析:理论、实验与应用[M]. 天津: 天津大学出版社, 2000.

CAO S Q, ZHANG W D, XIAO L X. Modal Analysis of Vibration Structures:Theory,Experiments,and Applications[M]. Tianjin:Tianjin University Press, 2000.

[2]
张正平, 邱吉宝, 王建民, 等. 航天器结构虚拟动态试验技术新进展[J]. 振动工程学报, 2008, 21(3):209-222.

ZHANG Z P, QIU J B, WANG J M, et al. New progress in virtual dynamic testing technology for spacecraft structures[J]. Journal of Vibration Engineering, 2008, 21(3):209-222.

[3]
邱吉宝, 张正平. 航天飞行器结构动力学一些研究与进展[C]//第十届全国振动理论及应用学术会议论文集,南京, 2011.

QIU J B,ZHANG Z P. Research and Progress on Structural Dynamics of Spacecraft[C]//Proceedings of the 10th National Conference on Vibration Theory and Application,Nanjing,2011.

[4]
BARLOW M, HUJSAK E, WHITE R. Atlas[C]//3rd Communications Satellite Systems Conference.Los Angeles,CA,U.S.A,1970.

[5]
TUMA M, ASKINS B, Chenevert D. Objectives and Progress on Ground Vibration Testing for the Ares Launch Vehicles[C]//47th AIAA Aerospace Sciences Meeting including The New Horizons Forum and Aerospace Exposition.Orlando,Florida, 2009.

[6]
BUEHRLE R D, TEMPLETON J D, Reaves M C, et al. Ares I-X Launch Vehicle Modal Test Overview[C]//Proceedings of the 10th International Conference on Structural Dynamics.New York, 2011.

[7]
BARTKOWICZ T, JAMES G. Ares I-X in-Flight Modal Identification[C]//52nd AIAA Structures,Structural Dynamics and Materials Conference.Denver,Colorado, 2011.

[8]
DE VIVO A, BRUTTI C, Leofanti J L. Vega in-Flight Modal Identification with the Operational Modal Analysis Technique[J]. Journal of Spacecraft and Rockets, 2014, 51(5):1464-1473.

DOI

[9]
杨叔子, 吴雅, 轩建平. 时间序列分析的工程应用(第二版)[M]. 武汉: 华中科技大学出版社, 2007.

YANG S Z, WU X, XUAN J P. Engineering Applications of Time Series Analysis (Second Edition)[M]. Wuhan: Huazhong University of Science and Technology Press, 2007.

[10]
CATHERINES J, STEEVES E. Lateral Vibration Characteristics of a 1/40-Scale Dynamic Model of Apollo-Saturn 5 Launch Vehicle[R]. Washington,D. C.:National Aeronautics and Space Administration,1968.

[11]
BLAZQUEZ A L G. Ariane-5 Structural Design and Development[J]. Esa Journal-European Space Agency, 1989, 13(1):13-18.

[12]
MORINO Y, KOMATSU K, SANO M, et al. Vibration Test of 1/5 Scale H-Ii Launch Vehicle[M]. New York: American Institute of Aeronautics and Astronautics,1987.

[13]
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(03):515-521.

QIU J B, WANG J M. New Progress in Modal Test Simulation Technology for Launch Vehicles[J]. Acta Astronautica, 2007, 28(03):515-521.

[14]
潘忠文. 运载火箭结构动力学研究[D]. 北京: 北京航空航天大学, 2011.

PAN Z W. Research on Structural Dynamics of Launch Vehicles[D]. Beijing: Beijing University of Aeronautics and Astronautics, 2011.

[15]
王亮, 张妍, 蔡毅鹏. 基于时域缩放ERA方法的工作模态辨识技术[J]. 四川兵工学报, 2017, 38(1):97-101.

WANG L, ZHANG Y, CAI Y P, et al. Study on the Operational Mode Identification Based on ERA with the ZOOM Method[J]. Journal of Sichuan Ordnance Industry, 2017, 38(1):97-101.

[16]
王鹏辉, 黄佳, 常洪振, 刘思宏, 等. 自然激励下的运载火箭时变模态参数获取技术研究[J]. 强度与环境, 2021, 48(3):1-7.

WANG P H, HUANG J, CHANG H Z, et al. Time-Varying Modal Acquisition Technology of Large-Scale Structure under Natural Excitation[J]. Structure & Environment Engineering, 2021, 48(3):1-7.

[17]
谢金松, 薛林, 高庆丰. 改进HHT算法在导弹工作模态辨识中的应用[J]. 现代防御技术, 2022, 50(3):32-39.

DOI

XIE J S, XUE L, GAO Q F. Application of Improved HHT Algorithm in Missile Working Mode Identification[J]. Modern Defense Technology, 2022, 50(3):32-39.

[18]
马志赛, 丁千, 刘百奇, 等. 谷神星一号运载火箭的时变模态参数辨识[J]. 振动工程学报, 2024, 37(5):729-736.

MA Z S, DING Q, LIU B Q, et al. Time-varying modal parameter estimation of the CERES-1 launch vehicle[J]. Journal of Vibration Engineering, 2024, 37(5):729-736.

[19]
丁科, 殷水平. 有限单元法第2版[M]. 北京: 北京大学出版社, 2012.

DING K, YIN S P. Finite Element Method 2nd Edition[M]. Beijing: Peking University Press, 2012.

[20]
邱吉宝, 张正平, 向树红. 结构动力学及其在航天工程中的应用[M]. 合肥: 中国科学技术大学出版社, 2015.

QIU J B, ZHANG Z P, XIANG S H. Structural Dynamics and Its Applications in Aerospace Engineering[M]. Hefei: University of Science and Technology of China Press, 2015.

[21]
余磊, 刘莉, 马志赛, 康杰. 基于多维振动响应GSC-TARMA模型的时变结构模态参数辨识[J]. 机械工程学报, 2019, 55(15):183-192.

DOI

YU LEI, LIU LI, MA Zhi-sai, et al. Modal parameter estimation of time-varying structures using GSC-TARMA models based on vector vibration response measurements[J]. Journal of Mechanical Engineering, 2019, 55(15):183-192.

DOI

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