适用于复杂流动的热气动弹性降阶建模方法

doi:10.7527/S1000-6893.2022.26807

Abstract

Abstract:

For aerothermoelastic problems dominated by complex flow on hypersonic vehicles， an unsteady aerodynamic Reduced-Order Modeling （ROM） method suitable for time-varying thermal modal shapes was developed， based on which a fluid-thermal-structural coupling framework using spatial and temporal data exchanging strategy was finally constructed. Above framework was applied to predict time-varying flutter boundary of an air intake compression surface installed on hypersonic vehicle forebody in actual aerodynamic heating process. As is shown in the results， modal frequencies and modal shapes varied greatly with time when the compression surface was exposed in extremely uneven heat flow， and proposed ROM method is suitable for such variation of modal shapes， which means repetitive CFD calculation of unsteady aerodynamic force can be saved. By adopting proposed ROM， generalized aerodynamic force can be calculated with high confidence and time consumption is several orders of magnitude lower than traditional methods. Aerothermoelastic analysis of compression surface revealed that flutter dynamic pressure was reduced to 0.64% of the value at initial time after reaching thermal equilibrium， which significantly narrows flight envelop of hypersonic vehicle. The proposed method effectively alleviates the contradiction between efficiency and accuracy of aerothermoelastic analysis， and improves the engineering feasibility of aerothermoelastic analysis.

Key words: hypersonic vehicles, aerothermoelasticity, reduced order model, fluid-thermal-solid coupling, flutter, thermal mode, forebody compression surface

CLC Number:

V211.3

Ziyi WANG, Weiwei ZHANG, Lei LIU, Xiaofeng YANG. Reduced order aerothermoelastic framework suitable for complex flow[J]. ACTA AERONAUTICAET ASTRONAUTICA SINICA, 2023, 44(4): 126807-126807.

Figures/Tables 29

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References 33

1	HARSHA P， KEEL L， CASTROGIOVANNI A， et al. X-43A vehicle design and manufacture［C］∥ AIAA/CIRA 13th International Space Planes and Hypersonics Systems and Technologies Conference. Reston： AIAA， 2005.
2	HANK J， MURPHY J， MUTZMAN R. The X-51A scramjet engine flight demonstration program［C］∥ 15th AIAA International Space Planes and Hypersonic Systems and Technologies Conference. Reston： AIAA， 2008.
3	桂业伟. 高超声速飞行器综合热效应问题［J］. 中国科学：物理学力学天文学， 2019， 49（11）： 139-153.
	GUI Y W. Combined thermal phenomena of hypersonic vehicle［J］. Scientia Sinica （Physica， Mechanica ＆ Astronomica）， 2019， 49（11）： 139-153 （in Chinese）.
4	刘磊. 高超声速飞行器热气动弹性特性及相似准则研究［D］. 绵阳：中国空气动力研究与发展中心， 2014.
	LIU L. Study on the characteristics and similarity criteria of aerothermoelasticity for hypersonic vehicle［D］. Mianyang：China Aerodynamics Research and Development center， 2014 （in Chinese）.
5	王梓伊，张伟伟，刘磊. 高超声速飞行器热气动弹性仿真计算方法综述［J］. 气体物理， 2020， 5（6）： 1-15.
	WANG Z Y， ZHANG W W， LIU L. Review of simulation methods of hypersonic aerothermoelastic problems［J］. Physics of Gases， 2020， 5（6）： 1-15 （in Chinese）.
6	桂业伟，刘磊，代光月，等. 高超声速飞行器流-热-固耦合研究现状与软件开发［J］. 航空学报， 2017， 38（7）： 020844.
	GUI Y W， LIU L， DAI G Y， et al. Research status of hypersonic vehicle fluid-thermal-solid coupling and software development［J］. Acta Aeronautica et Astronautica Sinica， 2017， 38（7）： 020844 （in Chinese）.
7	ROGER M. Aerothermoelasticity［J］. Aero/Space Engineering， 1958， 17（10）： 34–43.
8	MCNAMARA J J， FRIEDMANN P P. Aeroelastic and aerothermoelastic analysis in hypersonic flow： Past， present， and future［J］. AIAA Journal， 2011， 49（6）： 1089-1122.
9	ERICSSON L E， ALMROTH B O， BAILIE J A. Hypersonic aerothennoelastic characteristics of a finned missile［J］. Journal of Spacecraft and Rockets， 1979， 16（3）： 187-192.
10	CULLER A， MCNAMARA J. Fluid-thermal-structural modeling and analysis of hypersonic structures under combined loading［C］∥ 52nd AIAA/ASME/ASCE/AHS/ASC Structures， Structural Dynamics and Materials Conference. Reston： AIAA， 2011.
11	MILLER B A， MCNAMARA J J. Efficient fluid-thermal-structural time marching with computational fluid dynamics［J］. AIAA Journal， 2018， 56（9）： 3610-3621.
12	刘磊，代光月，曾磊，等. 气动力/热与结构多场耦合试验模型方案初步设计［J］. 航空学报， 2017， 38（11）： 221165.
	LIU L， DAI G Y， ZENG L， et al. Preliminary test model design of fluid-thermal-structural interaction problems［J］. Acta Aeronautica et Astronautica Sinica， 2017， 38（11）： 221165 （in Chinese）.
13	MILLER B A， MCNAMARA J J. Loosely coupled time-marching of fluid-thermal-structural interactions with time-accurate CFD［C］∥ 56th AIAA/ASCE/AHS/ASC Structures， Structural Dynamics， and Materials Conference. Reston： AIAA， 2015.
14	张伟伟，叶正寅. 操纵面对跨声速机翼气动弹性特性的影响［J］. 航空学报， 2007， 28（2）： 257-262.
	ZHANG W W， YE Z Y. Effect of control surface on aeroelastic characteristics of transonic airfoil［J］. Acta Aeronautica et Astronautica Sinica， 2007， 28（2）： 257-262 （in Chinese）.
15	ZHANG W W， YE Z Y. Reduced-order-model-based flutter analysis at high angle of attack［J］. Journal of Aircraft， 2007， 44（6）： 2086-2089.
16	ZHANG W W， YE Z Y. Control law design for transonic aeroservoelasticity［J］. Aerospace Science and Technology， 2007， 11（2-3）： 136-145.
17	GAO C Q， ZHANG W W， LI X T， et al. Mechanism of frequency lock-in in transonic buffeting flow［J］. Journal of Fluid Mechanics， 2017， 818： 528-561.
18	GAO C Q， ZHANG W W， KOU J Q， et al. Active control of transonic buffet flow［J］. Journal of Fluid Mechanics， 2017， 824： 312-351.
19	KOU J Q， ZHANG W W. Layered reduced-order models for nonlinear aerodynamics and aeroelasticity［J］. Journal of Fluids and Structures， 2017， 68： 174-193.
20	KOU J Q， ZHANG W W. A hybrid reduced-order framework for complex aeroelastic simulations［J］. Aerospace Science and Technology， 2019， 84： 880-894.
21	KOU J Q， ZHANG W W. Reduced-order modeling for nonlinear aeroelasticity with varying Mach numbers［J］. Journal of Aerospace Engineering， 2018， 31（6）： 04018105.1-04018105.17.
22	KOU J Q， ZHANG W W. Multi-kernel neural networks for nonlinear unsteady aerodynamic reduced-order modeling［J］. Aerospace Science and Technology， 2017， 67： 309-326.
23	WINTER M， BREITSAMTER C. Neurofuzzy-model-based unsteady aerodynamic computations across varying freestream conditions［J］. AIAA Journal， 2016， 54（9）： 2705-2720.
24	LI K， KOU J Q， ZHANG W W. Deep neural network for unsteady aerodynamic and aeroelastic modeling across multiple Mach numbers［J］. Nonlinear Dynamics， 2019， 96（3）： 2157-2177.
25	MARQUES S， BADCOCK K， KHODAPARAST H， et al. On how structural model variability influences transonic aeroelastic stability［C］∥ 51st AIAA/ASME/ASCE/AHS/ASC Structures， Structural Dynamics， and Materials Conference. Reston： AIAA， 2010.
26	MARQUES S， BADCOCK K J， KHODAPARAST H H， et al. Transonic aeroelastic stability predictions under the influence of structural variability［J］. Journal of Aircraft， 2010， 47（4）： 1229-1239.
27	ZHANG W W， CHEN K J， YE Z Y. Unsteady aerodynamic reduced-order modeling of an aeroelastic wing using arbitrary mode shapes［J］. Journal of Fluids and Structures， 2015， 58： 254-270.
28	王梓伊，张伟伟. 适用于参数可调结构的非定常气动力降阶建模方法［J］. 航空学报， 2017， 38（6）： 220829.
	WANG Z Y， ZHANG W W. Unsteady aerodynamic reduced-order modeling method for parameter changeable structure［J］. Acta Aeronautica et Astronautica Sinica， 2017， 38（6）： 220829 （in Chinese）.
29	WANG Z Y， ZHANG W W， WU X J， et al. A novel unsteady aerodynamic reduced-order modeling method for transonic aeroelastic optimization［J］. Journal of Fluids and Structures， 2018， 82： 308-328.
30	LI D F， ZHOU Q， CHEN G， et al. Structural dynamic reanalysis method for transonic aeroelastic analysis with global structural modifications［J］. Journal of Fluids and Structures， 2017， 74： 306-320.
31	MICHOPOULOS J G， FARHAT C， FISH J. Modeling and simulation of multiphysics systems［J］. Journal of Computing and Information Science in Engineering， 2005， 5（3）： 198-213.
32	GIMENEZ G， ERRERA M， BAILLIS D， et al. A coupling numerical methodology for weakly transient conjugate heat transfer problems［J］. International Journal of Heat and Mass Transfer， 2016， 97： 975-989.
33	小约翰·D·安德森.高超声速和高温气体动力学［M］. 2版. 杨永，李栋，译.北京：航空工业出版社， 2013.
	ANDERSON J D. Hypersonic and high-temperature gas dynamics［M］. 2nd ed.YANG Y， LI D，translated. Beijing： Aviation Industry Press， 2013 （in Chinese）.

T/K	弹性模量/GPa	热膨胀系数/（10^-6 K^-1）	比热容/（J·kg^-1·K^-1）	热传导系数/（W·m^-1·K^-1）
273	170	14.0	440
293				60.4
373	166	14.4	450
393				55.9
473	158	14.7	475
503				50.9
573	152	15.0	495
643				45
673	142	15.5	505
773	135	15.8	530
873	128	16.1	555
973	115	16.4	575
1 073	108	16.7	615
1 173	94	17	650
1 273	78	17.3	710

变量	ROM-AMS	传统ROM	相对误差/%
q_f /MPa	0.066 9	0.064 5	3.72
H_f /km	28.53	28.76	-0.800
f_f /Hz	123.67	123.16	0.414

变量	ROM-AMS	传统ROM	相对误差/%
q_f /MPa	0.015 2	0.015 0	1.33
H_f /km	38.78	38.89	-0.283
f_f /Hz	82.98	82.88	0.121

流程	耗时/min
流程	传统ROM	ROM-AMS
耗时总计/h	1 547	58
热模态分析	0.2×35	0.2×35
CFD求解获取训练数据	2 652×35	3 468×1
气动力建模	0.02×35	0.03×1
颤振分析	0.2×35	0.2×35

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Reduced order aerothermoelastic framework suitable for complex flow

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