大型可展开式空间结构热致振动研究回顾与展望

doi:10.12382/bgxb.2024.0636

摘要/Abstract

摘要：

大型可展开式空间结构的热致振动是我国航天器向大型化、高精度、高可靠性发展过程中面临的重要问题之一。从理论与数值分析、试验研究、振动抑制与结构优化方法3个方面梳理了热致振动响应问题的研究进展。针对我国后继大型航天器技术发展趋势和需求,提出了大型可展开式空间结构热致振动响应后续研究发展的建议,为相关研究工作者提供参考。

关键词: 大型可展开式空间结构, 热致振动, 热分析, 振动抑制

Abstract:

The thermally-induced vibration of large deployable space structureis one of thecitical issues in the development of China’s spacecraft with large-scale, high-precision and high-reliability. The research progress on thermally-induced vibration response are summarized in three aspects of the theoretical and numerical analysis, the experimental research, and the vibration suppression and structural optimization methods.The suggestions for the future research on thermally-induced vibration response of large deployable space structure are proposed corresponding to the development trend and demand of large-scale spacecraft technology in China.

Key words: large deployable space structure, thermally-induced vibration, thermal analysis, vibration suppression

中图分类号:

TN98

罗成, 范超, 毕研强, 苏新明, 林贵平. 大型可展开式空间结构热致振动研究回顾与展望[J]. 兵工学报, 2024, 45(S1): 231-241.

LUO Cheng, FAN Chao, BI Yanqiang, SU Xinming, LIN Guiping. Research Progress on Thermally-induced Vibration of Large Deployable Space Structure[J]. Acta Armamentarii, 2024, 45(S1): 231-241.

图/表 5

图1 由薄壁圆管结构组成的空间展开天线结构

Fig.1 Deployable space antenna structure composed of thin-walled tubes

图2 热颤振准则

Fig.2 Thermal flutter criterion

图3 热致振动试验系统

Fig.3 Experimental system for thermally-induced vibration

图4 热致振动试验结果

Fig.4 Experimental results of thermally-induced vibration

图5 空间桁架热致振动响应试验

Fig.5 Thermally-induced vibration experiment of space truss structure

参考文献 89

[1]	THORNTON E A. Thermal structures for aerospace applications[M]. Washington, DC, US: AIAA Education Series, 1996.
[2]	BOLEY B A. Thermally induced vibrations of beams[J]. Journal of Aeronautical Sciences, 1956, 23(2): 179-181.
[3]	BOLEY B A. Approximate analyses of thermally induced vibrations of beams and plates[J]. Journal of Applied Mechanics, 1972, 39(1):787-796.
[4]	THORNTON E A, FOSTER R S. Dynamic response of rapidly heated space structures[J]. Computational Nonlinear Mechanics in Aerospace Engineering, AIAA Paper 92-2207-CP, 1992:1185-1203.
[5]	XUE M D, DUAN J, XIANG Z H. Thermally-induced bending-torsion coupling vibration of largescale space structures[J]. Computational Mechanics, 2007, 40(4):707-723.
[6]	FOSTER R S. Thermally induced vibrations of spacecraft booms[D]. Charlottesville, US: University of Virginia, 1998.
[7]	FAN C, BI Y Q, WANG J, et al. Experimental investigation of heat flux characteristics on the thermally induced vibration of a slender thin-walled beam[J]. International Journal of Applied Mechanics, 2020, 12(5): 1-21.
[8]	THOMSON W T, REITER G S. Attitude drift of space vehicles[J]. The Journal of the Astronautical Sciences, 1960, 7(2):29-36.
[9]	PAGHISI, FRANKLIN C A, MAR J. Alouette Ⅰ: the first three Years in orbit[B]. Ottawa, Canada:Defence Research Telecommunications Establishment, 1967.
[10]	ETKIN B, HUGHTES P C. Explanation of the anomalous spin behavior of satellites with long flexible antennae[J]. Journal of Spacecraft and Rockets, 1967, 4(9):1139-1145.
[11]	HUGHES P C, CHERCHAS D B. Influence of solar radiation on the spin behavior of satellites with long flexible antennae[R]. Transactions of the Canadian Aeronautics and Space Institute, 1969, 2(2):53-57.
[12]	JONES J P. Thermoelastic vibrations of a beam[J]. Journal of the Acoustical Society of America, 1966, 39(3): 542-548.
[13]	FRISCH H. Thermal bending plus twist of a thin walled cylinder of open section with application to gravity gradient booms[R]. NASATN D-4069, 1967.
[14]	SEIBERT A G, RICE J S. Coupled thermally induced vibrations of beams[J]. AIAA Journal, 1973, 11(7): 1033-1035.
[15]	JADEJA N D, LOO T C. Heat-induced vibration of a rectangular plate[J]. Journal of Engineering for Industry-Transactions of the ASME, 1974, 96(3):1015-1021.
[16]	MAYERS J, STROUD R C. Dynamic response of rapidly heated plate elements[J]. AIAA Journal, 1971, 9(1):76-83.
[17]	KRAUS H. Thermally induced vibrations of thin nonshallow spherical shells[J]. AIAA Journal, 1966, 4(3): 500-505.
[18]	RAY H, LOVELL E G. Thermal vibrations of thin cylindrical-shells[J]. Journal of Thermal Stresses, 1988, 11(2):77-91.
[19]	ELLIOTT T, RIMROTT F P J. Torsion of slit, overlapped, thin-walled tubes[J]. Journal of Spacecraft and Rockets, 1966, 3(6):873-876.
[20]	FLORIO F A, HOBBS J R B. An analytical representation of temperature distributionsin gravity gradientrods[J]. AIAA Journal, 1968, 6(1): 99-102.
[21]	GRAHAM J D. Radiation heat transfer around the interior of a long cylinder[J]. Journal of Spacecraft and Rockets, 1970, 7(3):372-374.
[22]	MASON J B. Analysis of thermally induced structural vibrations by finite element techniques:NASA TM X-63488[R]. Greenbelt, MD, US: NASA Goddard Space Flight Center, 1968.
[23]	NAMBURU R R, TAMMA K K. Thermally-induced structural dynamic response of flexural configurations influenced by linear/non-linear thermal effects[C]// Proceedings of 32nd Structures, Structural Dynamics, and Materials Conference. Cleveland, OH, US: National Aeronautics and Space Administration, 1991.
[24]	TAMMA K K, NAMBURU R R. Unified transient analysis formulations for interdisciplinary thermal structural problems[C]// Proceedings of the 6th International Conferenceon Numerical Methods in Thermal Problems. Stanford, CA, US: Pineridge Press, 1991.
[25]	RAND O, GIVOLI D. A finite element spectral method with application to the thermo-elastic analysis of space structures[J]. International Journal of Numerical Methods in Engineering, 1990, 30(2):291-306.
[26]	RAND O, GIVOLI D. Thermal analysis of space trusses including three-dimensional effects[J]. International Journal of Numerical Methods for Heat and Fluid Flow, 1992, 2(2):115-125.
[27]	GIVOLI D, RAND O. Harmonic finite element thermoelastic analysis of space frames and trusses[J]. Journal of Thermal Stresses, 1993, 16(3): 233-248.
[28]	THIORNTON E A, KIM Y A. Thermal induced bending vibrations of a flexible rolled-up solar array[J]. Journal of Spacecraft and Rockets, 1993, 30(4):438-448.
[29]	丁勇. 大型空间结构的热-结构有限元分析[D]. 北京: 清华大学, 2002.
	DING Y. Thermal structural finite element analysis of large spatial structures[D]. Beijing: Tsinghua University, 2002. (in Chinese)
[30]	DING Y, XUE M D, KIM J K. Thermo-structural analysis of space structures using Fourier tube elements[J]. Computational Mechanics, 2005, 36 (4): 289-297.
[31]	XUE M D, DING Y. Two kinds of tube elements for transient thermal-structural analysis of large space structures[J]. International Journal for Numerical Methods in Engineering, 2004, 59(10):1335-1353.
[32]	程乐锦. 大型空间结构的热诱发振动有限元分析[D]. 北京: 清华大学, 2003.
	CHENG L J. Finite element analysis of thermal induced vibration in large space structures[D]. Beijing: Tsinghua University, 2003. (in Chinese)
[33]	程乐锦, 薛明德. 大型空间结构热-动力学耦合有限元分析[J]. 清华大学学报, 2004, 44(5):681-684, 688.
	CHENG L J, XUE M D. Coupled thermal-dynamic FEM analysis of large scale space structures[J]. Journal of Tsinghua University, 2004, 44(5):681-684, 688. (in Chinese)
[34]	段进. 大型柔性空间结构的热-动力学耦合有限元分析[D]. 北京: 清华大学, 2007.
	DUAN J. Thermal dynamic coupling finite element analysis of large flexible space structures[D]. Beijing: Tsinghua University, 2007. (in Chinese)
[35]	沈振兴. 基于绝对坐标的大型空间多体结构热致振动研究[D]. 北京: 北京理工大学, 2014.
	SHEN Z X. Thermally induced vibrations of large-scale space multi-body structures based on the absolute coordinate[D]. Beijing: Beijing Institute of Technology, 2014. (in Chinese)
[36]	SHEN Z X, TIAN Q, LIU X N, et al. Thermally induced vibrations of flexible beams using absolute nodal coordinate formulation[J]. Aerospace Science and Technology, 2013, 29(1): 386-393.
[37]	SHEN Z X, HU G K. Thermally induced vibrations of solar panel and their coupling with satellite[J]. International Journal of Applied Mechanics, 2013, 5(3): 1350031.
[38]	SHEN Z X, LI P, LIU C, et al. A finite element beam model including cross-section distortion in the absolute nodal coordinate formulation[J]. Nonlinear Dynamics, 2014, 77(3):1019-1033.
[39]	SHEN Z X, HU G K. Thermally induced dynamics of a spinning spacecraft with an axial flexible boom[J]. Journal of Spacecraft and Rockets, 2015, 52(5):1503-1508.
[40]	LI J, YAN S. Thermally induced vibration of composite solar array with honeycomb panels in low earth orbit[J]. Applied Thermal Engineering, 2014, 71(1):419-432.
[41]	LI J, YAN S, CAI R. Thermal analysis of composite solar array subjected to space heat flux[J]. Aerospace Science & Technology, 2013, 27(1):84-94.
[42]	孔祥宏, 王志瑾. 空间站柔性太阳翼热诱发振动分析[J]. 振动与冲击, 2015, 34(5):220-227.
	KONG X H, WANG Z J. Thermally induced vibration analysis of a space station’s flexible solar wing[J]. Journal of Vibration and Shock, 2015, 34(5):220-227. (in Chinese)
[43]	孔祥宏, 王志瑾. 空间站柔性太阳翼桅杆热诱发振动分析[J]. 上海交通大学学报(自然版), 2014, 48(8): 1103-1108.
	KONG X H, WANG Z J. Thermally induced vibration of the flexible solar wing of the mast of space station[J]. Journal of Shanghai Jiaotong University (Natural Edition), 2014, 48(8): 1103-1108. (in Chinese)
[44]	AZADI E, FAZELZ S A, AZADI M. Thermally induced vibrations of smart solar panel in a low-orbit satellite[J]. Advances in Space Research, 2017, 59: 1502-1513.
[45]	DENNEHY C, ZIMBELMAN D, WELCH R. Sunrise/Sunset thermal shock disturbance analysis and simulation for the TOPEX satellite[R]. AIAA 90-0470, 1990:1-12.
[46]	薛明德, 李伟, 向志海. 中心舱体-附件耦合系统热颤振有限元分析[J]. 清华大学学报(自然科学版), 2008(2):112-117.
	XUE M D, LI W, XIANG Z H. Thermal flutter analysis of a spacecraft with a flexible appendage based on FEM[J]. Journal of Tsinghua University (Natural Science Edition), 2008(2): 112-117. (in Chinese)
[47]	LIU J, PAN K. Rigid-flexible-thermal coupling dynamic formulation for satellite and plate multibody system[J]. Aerospace science and technology, 2016, 52:102-114.
[48]	LIU L, WANG X D, SUN S P, et al. Dynamic characteristics of flexible spacecraft with double solar panels subjected to solar radiation[J]. International Journal of Mechanical Sciences, 2019, 151: 22-32.
[49]	FRISCH H P. Thermally induced vibrations of long thin-walled cylinders of open section[J]. Journal of Spacecraft and Rockets, 1970, 7(8):897-905.
[50]	AUGUSTI G. Instability of struts subject to radiant heat. meccanica[J]. 1968, 3(32):167-176.
[51]	KOVAL L R, MULLER M R, PAROCZAI A J. Solar flutter of a thin-walled open-section boom[R]. Presented at the Symposium on Gravity Gradient Altitude Control sponsored by the Air Force and Aerospace Corporation, Los Angeles, US: 1968.
[52]	YU Y Y. Thermally induced vibration and flutter of a flexible boom[J]. Journal of Spacecraft and Rockets, 1969, 6(8):902-910.
[53]	GRAHAM J D. Solar induced bending vibrations of a flexible member[J]. AIAA Journal, 1970, 8(11):2031-2036.
[54]	RIMROTT F, ABDELSAYED R. Flexural thermal flutter under laboratory conditions[J]. Transactions of the Canadian Society for Mechanical Engineering, 1977, 4(4):189-196.
[55]	张军徽. 空间结构热致响应主动控制的热流驱动方法和热颤振准则[D]. 北京: 清华大学, 2013.
	ZHANG J W. Thermal flow driven method and thermal flutter criterion for active control of thermal response in spatial structures[D]. Beijing: Tsinghua University, 2013. (in Chinese)
[56]	ZHANG J H, XIANG Z H, LIU Y H, et al. Stability of thermally induced vibrationof a beam subjected to solar heating[J]. AIAA Journal, 2014.
[57]	YUAN X D, XIANG Z H. Athermal-flutter criterion for an open thin-walled circular cantilever beam subject to solar heating[J]. Chinese Journal of Aeronautics, 2018, 31(9): 1902-1909.
[58]	BEAM R M. On the phenomenon of thermoelastic Instability (thermal flutter) of booms with open cross section[R], NASA TN D-5222, 1969.
[59]	RIMROTT F. The frequency criterion for thermally induced vibrations in elastic beams[J]. Archive of Applied Mechanics, 1981, 50(4):281-287.
[60]	SUMI S. Thermoelastic behavior and stability of spacecraft booms[R]. Report pf Research Project, Grant-in-Aid for Scientific Research, 1990, 3:1-175. (primarily in Japanese)
[61]	MUROZONO M, HASHIMOTO Y, SUMI S. Thermally-induced vibration and stability of booms with open cross section caused by unidirectional radiant heating[J]. Journal of Japan Society for Aeronautical and Space Sciences. 1985, 33(383):719-727. (in Japanese with English abstract)
[62]	FOSTER R S, THORNTON E A. An experimental investigation of thermally induced vibrations of spacecraft structures[C]// Proceedings of the 35th Structures, Structural Dynamics, and Materials Conference, 1994:584-596.
[63]	SU X M, ZHANG J H, WANG J, et al. Experimental investigation of the thermally induced vibration of a space boom section[J]. Science China Physics Mechanics Astronmy, 2015, 58(4):58-66.
[64]	FAN C, BI Y Q, WANG J, et al. Experimental investigation of heat flux characteristics on the thermally induced vibration of a slender thin-walled beam[J]. International Journal of Applied Mechanics, 2020, 12(5): 1-21.
[65]	范超. 大型空间结构热致动态响应机理及试验方法研究[D]. 北京: 中国空间技术研究院, 2021.
	FAN C. Research on the mechanism and experimental method of thermal induced dynamic response of large space structures[D] Beijing: China Academy of Space Technology, 2021. (in Chinese)
[66]	WANG J, JIN D G, FAN C, et al. Predicting the on-orbit thermally induced vibration through the integrated numerical and experimental approach[J]. Acta Astronautica, 2022, 192: 341-350.
[67]	BEALS G A, CRUM R C, DOUGHERTY H J, et al. Hubble space telescope precision pointing control system[J]. NTRS, 1986.
[68]	LUO C, LUO M, WANG Y B, et al. Passive vibration suppression of large space truss structures by viscous damping[J]. International Journal of Space Science and Engineering. 2020, 6(2): 165-178.
[69]	BERMAN A, NAGY E Y. Improvement of a large analytical model using test data[J]. AIAA, 1983, 21: 1168-1173.
[70]	LANG G F, GEROGE F. Demystifying complex modes[J]. Sound and Vibration, 1989, 23(1) : 36-40.
[71]	淡丹辉, 孙利民. 结构动力有限元分析的阻尼建模及评价[J]. 振动与冲击, 2007, 26(2):4.
	DAN D H, SUN L M. Damping model and its evaluation in engineering structure dynamical analysis by finite element method[J]. Journal of Vibration and Shock, 2007, 26(2):4. (in Chinese)
[72]	MANNINGR. Optimum design of intelligent truss structures[C]// Proceedings of the 32nd Structures, Structural Dynamics, and Materials Conference, 1991: 1991-1158.
[73]	CHEN G S, BRUNO R J, SALAMA S. Optimal placement of active/passive members in truss structures using simulated annealing[J]. AIAA, 1991, 29(8).
[74]	CHANDRASHEKHARA K, TENNETI R. Thermally induced vibration suppression of laminated plates with piezoelectric sensors and actuators[J]. Smart Materials & Structures, 1995, 4(4):281-290.
[75]	TZOU H S, YE R, VENKAYYA V B. Active control of mechanical and thermal shock induced vibrations[C]// Proceedings of the Adaptive Structures Forum, 1996:39-45.
[76]	INMAN D J, RIETZ R W, WETHERHOLD R C. Control of thermally induced vibrations using smart structures[C]// Proceedings of the Dynamics and Control of Structures in Space Ⅲ. 1996:3-16.
[77]	TYLIKOWSKI A. Stability and stabilization of thermally induced vibrations of cylindrical shells[J]. Journal of Thermal Stresses, 2001, 24(6):605-628.
[78]	RAJA S, SINHA P K, PRATHAP G, et al. Thermally induced vibration control of composite plates and shells with piezoelectric active damping[J]. Smart Materials & Structures, 2004, 13(4):939-950.
[79]	ASHIDA F, SAKATA S, TAUCHERT T R, et al. Control of thermally induced vibration in a composite beam with damping effect[J]. Journal of Thermal Stresses, 2006, 29(2):139-152.
[80]	KUMAR R, MISHRA B K, JAIN S C. Thermally induced vibration control of cylindrical shell using piezoelectric sensor and actuator[J]. International Journal of Advanced Manufacturing Technology, 2008, 38(5/6):551-562.
[81]	ILSOUNG Y, OHSEOP S, LIBRESCU L. Vibration control of composite spacecraft booms subjected to solar heating[J]. Journal of Thermal Stresses, 2009, 32(1/2):95-111.
[82]	ZHANG J H, XIANG Z H, LIU Y H, Quasi-static shape control of flexible space structures by using heaters[J]. AIAA Journal, 2013, 51(4): 1003-1007.
[83]	ZHANG J H, XIANG Z H, LIU Y H, Control of the thermally-induced vibration of space structures by using heaters[J]. AIAA Journal of Spacecraft and Rockets, 2014, 51(5): 1454-1463.
[84]	FANL J, XIANG Z H, XUE M D, et al. The robust optimization for large scale space structures subjected to thermal loadings[J]. Journal of Thermal Stresses, 2010, 33(3): 202-225.
[85]	范立佳, 向志海, 薛明德, 等. 空间结构热变形的子域摄动随机有限元解法[J]. 清华大学学报(自然科学版), 2010, 50(7):1099-1103.
	FAN L J, XIANG Z H, XUE M D, et al. Perturbation based sub-domain stochastic finite element method for analyzing thermal deformations of space structures[J]. Journal of Tsinghua University (Natural Science Edition), 2010, 50(7):1099-1103. (in Chinese)
[86]	FAN L J, XIANG Z H, XUE M D, et al. Robust optimization of thermal-dynamic coupling systems using a Kriging model[J]. AIAA Journal of Spacecraft and Rockets, 2010, 47(6):1029-1037.
[87]	FANL J, XIANG Z H, XUE M D, et al. A sub-domain method for solving stochastic problems with large uncertainties and repeated eigenvalues[J]. International Journal for Numerical Methods in Biomedical Engineering, 2011, 27: 1264-1279.
[88]	FAN L J, XIANG Z H. Suppressing the thermally-induced vibration of large scale space structures via structural optimization[J]. Journal of Thermal Stresses, 2015, 38(1): 1-21.
[89]	CHAMBERLAIN M K, KIEFERR S H, LAPOINTE M, et al. On-orbit flight testing of the roll-out solar array[J]. Acta Astronautica, 2021(179): 407-414.