[1] EUROPEAN UNION AVIATION SAFETY AGENCY. Annual safety review 2024[M]. Germany:European Un-ion Aviation Safety Agency, 2024: 31-40..
[2] SHARMA S, COETZEE E B, LOWENBERG M H, et al. Numerical continuation and bifurcation analysis in air-craft design: an industrial perspective[J]. Philosophical Transactions of the Royal Society a-Mathematical Physi-cal and Engineering Sciences, 2015, 373(2051):16.
[3] FENG G, JIANG B Y, JIANG Y Y. Effect of Multi-Joint Clearance Coupling on Shimmy of Nose Landing Gear[J]. Aerospace, 2023, 10(11).
[4] 印寅. 起落架收放动力学及可靠性研究[D]. 南京航空航天大学, 2017.
YIN Y. Dynamics and Reliability Analysis of Retraction of Landing Gear [D]. Nanjing University of Aeronautics and Astronautics, 2017(in Chinese).
[5] 刘晓媛. 新舟60飞机事故及不安全事件分析[C]//航空安全与装备维修技术学术研讨会, 2014:6.
LIU X Y. Analysis of MA60 aircraft accidents and un-safe incidents [C]//Aviation Safety and Equipment Maintenance Technology Symposium, 2014:6.
[6] DOEDEL E J. AUTO: A program for the automatic bi-furcation analysis of autonomous systems[J]. Congr. Numer, 1981, 30(265-284):25-93.
[7] COETZEE E, KRAUSKOPF B, LOWENBERG M H. The dynamical systems toolbox: Integrating AUTO into MATLAB[C]//16th US National Congress on Theoreti-cal and Applied Mechanics, State College, Pennsylvania, 2010.
[8] COETZEE E. Modelling and nonlinear analysis of air-craft ground manoeuvres[D]. University of Bristol Bris-tol, UK, 2011.
[9] KUZNETSOV Y A, KUZNETSOV I A, KUZNETSOV Y. Elements of applied bifurcation theory[M]. Springer-Verlag, Berlin, Heidelberg.1998.
[10] DANKOWICZ H, SCHILDER F. An extended continu-ation problem for bifurcation analysis in the presence of constraints[C]//Proceedings of the ASME Internation-al Design Engineering Technical Conferences and Com-puters and Information in Engineering Conference -2009. Part A. 7th International Conference on Multibody Sys-tems, Nonlinear Dynamics & Control 2009, 2009:311-321.
[11] AHSAN Z, DANKOWICZ H, LI M W, et al. Methods of continuation and their implementation in the COCO software platform with application to delay differential equations[J]. Nonlinear Dynamics, 2022, 107(4):3181-3243.
[12] SCHILDER F, BUREAU E, SANTOS I F, et al. Exper-imental bifurcation analysis-Continuation for noise-contaminated zero problems[J]. Journal of Sound and Vibration, 2015, 358:251-266.
[13] FORMICA G, ARENA A, LACARBONARA W, et al. Coupling FEM With Parameter Continuation for Analy-sis of Bifurcations of Periodic Responses in Nonlinear Structures[J]. Journal of Computational and Nonline-ar Dynamics, 2013, 8(2).
[14] SIEBER J, KRAUSKOPF B. Control-based continua-tion of periodic orbits with a time-delayed difference scheme[J]. International Journal of Bifurcation and Cha-os, 2007, 17(8):2579-2593.
[15] SIEBER J, KRAUSKOPF B. Control based bifurcation analysis for experiments[J]. Nonlinear Dynamics, 2008, 51(3):365-377.
[16] BARTON D A W. Control-Based Continuation of a Hy-brid Numerical/Physical Substructured System[C]//33rd IMAC Conference and Exposition on Structural Dynam-ics, 2015:203-207.
[17] BARTON D A W, SIEBER J. Systematic experimental exploration of bifurcations with noninvasive control[J]. Physical Review E, 2013, 87(5).
[18] SIEBER J, KRAUSKOPF B, WAGG D, et al. Control-based continuation of unstable periodic orbits[J]. Pro-ceedings of the ASME International Design Engineering Technical Conferences and Computers and Information in Engineering Conference -2009. Part A. 7th Interna-tional Conference on Multibody Systems, Nonlinear Dy-namics & Control 2009, 2009:331-340.
[19] RENSON L, SIEBER J, BARTON D A W, et al. Nu-merical continuation in nonlinear experiments using local Gaussian process regression[J]. Nonlinear Dynamics, 2019, 98(4):2811-2826.
[20] LEE K, BARTON D, RENSON L. Reduced-order mod-elling of flutter oscillations using normal forms and sci-entific machine learning[C]//Advances in Nonlinear Dy-namics: Proceedings of the Second International Nonlin-ear Dynamics Conference (NODYCON 2021), Volume 1, 2021:49-63.
[21] 苏二龙, 罗建军. 高超声速飞行器横侧向失稳非线性分岔分析 [J]. 力学学报, 2016, 48(05):1192-1201.
SU E L, LUO J J. Nonlinear bifurcation analysis of lat-eral loss of stability for hypersonic vehicle [J]. Chinese Journal of Theoretical and Applied Mechanics, 2016, 48(05):1192-1201(in Chinese).
[22] 苏二龙, 罗建军, 闵昌万, 等. 高超声速飞行器纵向大攻角非线性失稳分析与控制 [J]. 航空学报, 2016, 37(S1):80-90.
SU E L, LUO J J, MIN C W, et al. Analysis and control of nonlinear loss of stability for longitudinal flight dy-namics of hypersonic vehicle with high angle of attack[J]. Acta Aeronautica et Astronautica Sinica, 2016, 37(S1): S80-S90(in Chinese).
[23] 付军泉, 史志伟, 耿玺, 等. 基于试验分岔分析的翼身融合飞行器纵向稳定性 [J]. 航空学报, 2022, 43(1):124931.
FU J Q, SHI Z W, GENG X, et al. Longitudinal stability of blended-wing-body aircraft based on experimental bi-furcation analysis[J]Acta Aeronautica et Astronautica Sinica, 2022, 43(1): 124931 (in Chinese).
[24] 卢京明. 某型飞机的前轮摆振分析与计算[J]. 飞机工程, 2001 (003): 14-20.
Lu J M. Analysis and calculation of front wheel shimmy of a certain type of aircraft[J]. Aircraft Engineering, 2001 (003): 14-20(in Chinese).
[25] SURA N K, SURYANARAYAN S. Lateral stability of aircraft nose-wheel landing gear with closed-loop shim-my damper[J]. Journal of Aircraft, 2009, 46(2): 505-509.
[26] 刘胜利, 刘小川, 崔荣耀, 等. 机体连接处局部刚度对轻型飞机起落架摆振稳定性的影响研究[J].振动工程学报,2017,30(02):249-254.
LIU S L, LIU X C, CUI R Y, et al. The influence of the fuselage joint local stiffness on landing gear shimmy stabilization of the light aircraft[J]. Journal of Vibration Engineering,2017,30(2):249-254(in Chinese).
[27] ERET P, KENNEDY J, BENNETT G J. Effect of noise reducing components on nose landing gear stability for a mid-size aircraft coupled with vortex shedding and free-play[J]. Journal of Sound and Vibration, 2015, 354: 91-103.
[28] PADMANABHAN M A, DOWELL E H. Landing gear design/maintenance analysis for nonlinear shimmy[J], . Journal of Aircraft, 2015, 52(5):1707-1710.
[29] 冯飞, 常正, 聂宏, 等.飞机柔性对前起落架摆振的影响分析[J].航空学报,2011,32(12):2227-2235.
FENG F, CHANG Z, NIE H,et al. Analysis of in-fluence of aircraft flexibility on nose landing gear shim-my[J]. Acta Aeronautics et Astronautics Sinica, 2011,32(12):2227-2235.
[30] RAHMANI M ,BEHDINAN K .Investigation on the effect of coulomb friction on nose landing gear shim-my[J].Journal of Vibration and Control,2019,25(2):255-272.
[31] RUAN S, ZHANG M, HONG Y, et al. Influence of clearance and structural coupling parameters on shimmy stability of landing gear[J]. The Aeronautical Journal, 2023, 127(1315): 1591-1622.
[32] THOTA P, KRAUSKOPF B, LOWENBERG M. Inter-action of Torsion and Lateral Bending in Aircraft Nose Landing Gear Shimmy [J]. Nonlinear Dynamics, 2008, 57(3): 455-467.
[33] THOTA P, KRAUSKOPF B, LOWENBERG M H. Bifurcation analysis of aircraft nose landing gear shimmy with a dual-wheel configuration[C]//7th EUROMECH Solid Mechanics Conference, Lisbon, Portugal. 2009.
[34] HOWCROFT C, LOWENBERG M, NEILD S, et al. Effects of freeplay on dynamic stability of an aircraft main landing gear[J], 2013, 50(6):1908-1922.
[35] THOTA P, KRAUSKOPF B, LOWENBERG M. Multi-parameter bifurcation study of shimmy oscillations in a dual-wheel aircraft nose landing gear[J]. Nonlinear dy-namics, 2012, 70: 1675-1688.
[36] 冯广, 丁建宾, 姜义尧, 等. 轮胎刚度特性对大型民机前起落架摆振影响研究[J].航空工程进展,2023,14(02):55-64.
FENG G, DlNG J, JlANG Y, et al. Research on influ-ence of tire stiffness characteristics on shimmy of large-civil aircraft nose landing gear[J]. Advances in Aeronau-tical Science and Engineering,2023,14(02):55-64(in Chinese).
[37] Feng F, Nie H, Zhang M, et al. Effect of torsional damn-ing on aircraft nose landing-gear shimmy[J]. Journal of Aircraft, 2015, 52(2): 561-568.
[38] RAHMANI M, BEHDINAN K. Parametric study of a novel nose landing gear shimmy damper concept[J]. Journal of Sound and Vibration, 2019, 457: 299-313.
[39] WANG Y, XIANYU JIN, YIN Y. Using nonlinear feedback control to improve aircraft nose landing gear shimmy performance[J]. Meccanica, 2022, 57(9): 2395-2411.
[40] RUAN S, ZHANG M, YANG S, et al. Research on the Stability and Bifurcation Characteristics of a Landing Gear Shimming Dynamics System. Aerospace 2024, 11, 104.
[41] RAHMANI M, BEHDINAN K. Studying the effect of freeplay on nose landing gear shimmy using a fully non-linear model[C]//International Design Engineering Tech-nical Conferences and Computers and Information in Engineering Conference. American Society of Mechani-cal Engineers, 2018, 51838: V006T09A027.
[42] HOWCROFT C, LOWENBERG M, NEILD S, et al. Shimmy of an aircraft main landing gear with geometric coupling and mechanical freeplay[J]. Journal of Compu-tational and Nonlinear Dynamics, 2015, 10(5): 051011.
[43] 张严.考虑结构因素的起落架摆振稳定性分析[D].南京航空航天大学,2018.
ZHANG Y. Stability analysis of landing gear shimmy considering the structural factors[D]. Nanjing University of Aeronautics and Astronautics,2018 (in Chinese).
[44] 阮爽,张明,聂宏.结构间隙对起落架地面滑跑摆振特性影响分析[J].振动与冲击,2024,43(02):234-243.
RUAN S, ZHANG M, NIE H. Influence of the struc-tural clearance on the shimmy characteristics of the land-ing gear during ground taxiing[J]. Journal of Vibration and Shock, 2024,43(02):234-243(in Chinese).
[45] GAO X, ZHENG Y, DU X, et al. Effect of clearance position of torque link structure on nose landing gear shimmy[J]. International Journal of Non-Linear Mechan-ics, 2024, 159: 104616.
[46] RAHMANI M, BEHDINAN K. Interaction of torque link freeplay and Coulomb friction nonlinearities in nose landing gear shimmy scenarios[J]. International Journal of Non-Linear Mechanics, 2020, 119: 103338.
[47] RUAN S, ZHANG M, NIE H. Research and Analysis of Coulomb Friction in Landing Gear Shimmy[J]. Jour-nal of Aircraft, 2024: 1-12.
[48] DU X, XU Y, LIU Q, et al. Shimmy dynamics in a dual-wheel nose landing gear with freeplay under stochastic wind disturbances[J]. Nonlinear Dynamics, 2024, 112(4): 2477-2499.
[49] 冯飞. 起落架的摆振分支分析[D].南京航空航天大学,2014.
FENG F. Bifurcation Analysis of Landing Gear shim-my[D]. Nanjing University of Aeronautics and Astro-nautics,2014 (in Chinese).
[50] 蔡佳圻. 飞机起落架摆振动力学分析及其非线性问题研究[D]. 南京: 南京航空航天大学, 2016.
CAI J Q. Dynamic analysis and nonlinear problem re-search of aircraft landing gear shimmy [D]. Nanjing University of Aeronautics and Astronautics,2016 (in Chinese).
[51] CHENG L, CAO H, ZHANG L. Two-parameter bifur-cation analysis of an aircraft nose landing gear model[J]. Nonlinear Dynamics, 2021, 103: 367-381.
[52] 高相国,卢翔,单泽众.考虑支柱轴向位移和纵向弯曲的双轮前起落架摆振特性分析[J/OL].振动工程学报,1-12[2024-08-29].
GAO X G,LU X,SHAN Z Z. Shimmy characteris-tics of dual?wheel nose landing gear considering the axi-al and longitudinal motions of strut[J/OL]. Journal of Vibration Engineering,1-12[2024-08-29] (in Chinese).
[53] 冯飞, 罗波, 张策, 等. 轮间距与双轮共转对飞机起落架摆振的影响分析[J]. 振动与冲击, 2019, 38(6): 212-217.
FENG F, LUO C, ZHANG C, et al. Effect of wheel-distance and corotating wheels on aircraft shimmy[J]. Journal of Vibration and Shock, 2019, 38(6): 212-217 (in Chinese).
[54] 陈大伟. 起落架摆振的非线性分析及控制[D].南京航空航天大学,2012.
CHEN D W. Nonlinear analysis and control of landing gear shimmy[D]. Nanjing University of Aeronautics and Astronautics,2012 (in Chinese).
[55] Jiang Y Y, Feng G, T H H, et al. Effect of Coulomb fric-tion on shimmy of nose landing gear under time-varying load[J]. Tribology International,2023,188.
[56] WANG Y, ZHANG T, YIN Y, et al. Reducing shimmy oscillation of a dual-wheel nose landing gear based on torsional nonlinear energy sink[J]. Nonlinear Dynamics, 2024, 112(6): 4027-4062.
[57] 周家才,赵艳影,肖相志,等.非线性能量汇提高前起落架摆振的稳定性和抑制效果[J/OL].固体力学学报,1-15[2024-08-29].
ZHOU J C, ZHAO Y Y, XIAO X Z, et al. Nose Land-ing Gear Stability Enhancement and Shimmy Suppres-sion with a Nonlinear Energy Sink[J/OL]. Chinese Journal of Solid Mechanics, 1-15[2024-08-29] (in Chi-nese).
[58] 高泽迥. 飞机地面操纵减摆系统及地面运动力学[J], 航空学报杂志社, 北京, 1997.
GAO Z J. Aircraft ground control swing reduction sys-tem and ground motion mechanics[J]. Acta Aeronautica et Astronautica Sinica. 1997 (in chinese).
[59] SONG L, YANG H, YAN X F, Ma C, Huang J. A study of Instability in a Miniature Flying-Wing Aircraft in High-Speed Taxi[J]. Chinese Journal of Aeronautics. 2015;28(03):749-756.
[60] PLAKHTIENKO N P, SHIFRIN B M. Mechanical phenomena in ground run of an aircraft with near-critical slip angles[J]. International Applied Mechanics. 2006;42(6):714-720.
[61] ABE M. A Theoretical Analysis on Vehicle Cornering Behaviors in Acceleration and in Braking[J]. Vehicle System Dynamics. 1986;15(sup1):1-14.
[62] BARNES A G, YAGER T J. Simulation of Aircraft Be-haviour on and Close to the Ground[J], France: Advisory Group For Aerospace Research And Development Neuilly-Sur-Seine, 1985.
[63] ABZUG M J. Directional Stability and Control During Landing Rollout[J]. Journal of Aircraft. 1999;36(3):584-590.
[64] 顾宏斌. 飞机地面运行的动力学模型[J]. 航空学报. 2001;22(2):163-168.
GU H B. YNAMIC MODEL OF AIRCRAFT GROUND HANDLING[J]. Acta Aeronautica et Astro-nautica Sinica. 2001, 22(2):163-168 (in chinese).
[65] 朱丹丹, 贾玉红. 飞机过度/不足转向地面转弯操纵特性分析[J]. 北京航空航天大学学报. 2011;37(12):1594-1598.
ZHU D D, JIA Y H. Analysis of oversteer / understeer characteristics of aircraft ground steering[J]. Journal of Beijing University of Aeronautics and Astronautics, 2011, 37(12):1594-1598 (in chinese).
[66] HOU Y X, GUAN Y L, JIA H G. Research on Motion Characteristics for UAV Ground Maneu-vers[C]//Proceedings of 2015 IEEE International Confer-ence on Mechatronics and Automation, Beijing, China; 2015:22-26.
[67] GU H B, GAO Z J. Landing Gear Shimmy and Direc-tional Stability of Aircraft Undergoing Non-straight Taxi-ing[J]. Chinese Journal of Aeronautics. 2001;2001(02):73-77.
[68] LIANG T T, YIN Q Z, WEI X H. Effects of Landing Gear Layout on the Safe Rollout Envelope of Equipped–Skid Aircraft[J]. Aerospace Science and Technology. 2022.
[69] 邱东海, 马伍元, 段镇. 无人机地面操纵转弯特性分析与计算研究[J]. 飞行力学. 2015; 4(33):310-314.
QIU D H, MA W Y, DUAN Z, et al. Reasearch on UAV ground handled steering characteristics analysis and cal-culation methods[J]. FLIGHT DYNAMICS. 2015, 4(33):310-314(in chinese).
[70] HE X F, AI J L. Taxiing Stability Verification and Air-worthiness Certification for Amphibious Aircraft[J]. Sci-ence China(Information Sciences). 2019;62(01):61-63.
[71] 徐梓尧, 王琪. 含单边非完整约束飞机滑跑的建模与仿真方法[J]. 北京航空航天大学学报. 2015;41(05):835-840.
XU Z Y, WANG Q. Method for modeling and simula-tion of aircraft taxiing with unilateral and non-holonomic constraints[J]. Journal of Beijing University of Aero-nautics and Astronautics, 2015, 41(5):835-840(in Chi-nese).
[72] KHAPANE P.D. Simulation of Asymmetric Landing and Typical Ground Maneuvers for Large Transport Air-craft[J]. Aerospace Science and Technology. 2003;Vol. 7:611-619.
[73] 张震, 贾玉红. 无人机地面滑跑方向稳定性模糊控制研究[J]. 飞机设计. 2016;36(02):18-21.
ZHANG ZHEN ,JIA Y H. Appli-cation of fuzzy control in UAV on-ground directional control system[J]. Air-craft Design, 2016, 36(2):18-21.(in chinese)
[74] ZHANG M, NIE H, WEI X H, et al. Modeling and Simulation of Aircraft Anti-Skid Braking and Steering Using Co-simulation Method[J]. COMPEL - The inter-national journal for computation and mathematics in elec-trical and electronic engineering. 2009;28(6):1471-1488.
[75] ANGELI G, IMAD L A. Turning Maneuver Effect on Near-Surface Airfield Pavement Responses[J]. Transpor-tation Research Record. 2019;2673:8275-283.
[76] COETZEE E , KRAUSKOPF B , LOWENBERG M. Nonlinear Aircraft Ground Dynamics[C]//International Conference on Nonlinear Problems in Aviation and Aer-ospace, 2006:1-8.
[77] HORIUCHI S, OKADA K, NOHTOMI S. Analysis of Accelerating and Braking Stability Using Constrained Bifurcation and Continuation Methods[J]. Vehicle Sys-tem Dynamics. 2008;46(sup1):585-597.
[78] RANKIN J, COETZEE E, KRAUSKOPF B. Bifurca-tion and Stability Analysis of Aircraft Turning on the Ground[J]. Journal of Guidance, Control, and Dynamics. 2009;32(2):500-511.
[79] RANKIN J, KRAUSKOPF B, LOWENBERG M, et al. Operational Parameter Study of Aircraft Dynamics on the Ground[J]. Journal of Computational and Nonlinear Dy-namics. 2010;5(2):021007-1-021007-11.
[80] COETZEE E, KRAUSKOPF B, LOWENBERG M. Continuation Analysis of Aircraft Ground Loads During High-Speed Turns[J]. Journal of Aircraft. 2013;50(1):217-231.
[81] COETZEE E, KRAUSKOPF B, LOWENBERG M. Application of Bifurcation Methods to the Prediction of Low-Speed Aircraft Ground Performance[J]. Journal of Aircraft. 2010;47(4):1248-1255.
[82] SHARMA S, COETZEE E, LOWENBERG M, et al. Numerical Continuation and Bifurcation Analysis in Air-craft Design: an Industrial Perspective[J]. Philosophical Transactions of the Royal Society Mathematical Physical & Engineering Sciences. 2015.
[83] YIN Q Z, WEI X H, NIE H, et al. Parameter Effects on High-Speed UAV Ground Directional Stability Using Bi-furcation Analysis[J]. Chinese Journal of Aeronautics. 2021(5).
[84] MA Z, ZHU X, ZHOU Z. Taxiing Characteristic Analy-sis and Control for Full-Wing Solar-Powered Unmanned Aerial Vehicle[J]. Journal of Northwestern Polytechnical University. 2019;37(1)::7-12.
[85] KRAWCZYK M, ZAJDEL A. Automatic Taxi Direc-tional Control System for General Aviation Aircraft[J]. Journal of KONES. 2018;25(3):299-306.
[86] 贾伟, 孙哲芃, 吴玉生, 等. 基于L1方法的某型无人机滑跑纠偏控制[J]. 弹箭与制导学报. 2021;41(01):48-52.
JIA W,SUN Z P,WU Y S, et al. Deviation Control of Unmanned Aerial Vehicles Based on L1 Method[J]. Journal of Projectiles,Rockets,Missiles and Guidance, 2021, 41(01):48-52 (in chinese).
[87] SUN D, JIAO Z X, SUN X H,et al. Dynamic allocation algorithm for the gain of UAV nose wheel steering and differential braking based on decomposition con-trol[C]//2016 IEEE/CSAA International Conference on Aircraft Utility Systems (AUS). IEEE, 2016.
[88] KHATRI A, SINHA N. Aircraft Maneuver Design Us-ing Bifurcation Analysis and Nonlinear ControlTech-niques[C]//Aiaa Aerospace Sciences Meeting Including the New Horizons Forum & AerospaceExposition. 2011.
[89] ZHANG M ,LENG M ,WU X. Design and Analysis of All-electric Aircraft Nose Wheel Steering System Based on Intelligent Algorithm[C]//Science and Engineering Research Center.Proceedings of 2017 2nd International Conference on Applied Mechanics and Mechatronics Engineering(AMME 2017). Key Laboratory of Funda-mental Science for National Defense-Advanced Design Technology of Flight Vehicle, Nanjing University of Aeronautics & Astronautics;Aviation Key Laboratory of Science and Technology on Aero Electromechanical Sys-tem Integration, 2017:9.
[90] ZHANG Y, DUAN H. A Directional Control System for UCAV Automatic Takeoff Roll[J]. Aircraft Engineering & Aerospace Technology. 2013;85(1):48-61.
[91] HUANG Z, BEST M, KNOWLES J. Optimal Predictive Steering Control for Autonomous Runway Exits[J]. Ad-vances in Mechanical Engineering. 2020;12(12):558-564.
[92] 杨辉 洪, 余征跃. 刚-柔耦合多体系统动力学建模与数值仿真[J]. 计算力学学报, 2003, (04):402-408.
YANG H, YU Z Y. Dynamics modeling and numerical simulation for a rigid-flexible coupling multibody sys-tem[J]. Chinese Journal of Computational Mechanics, 2003, (04):402-408 (in Chinese).
[93] 印寅, 聂宏, 魏小辉, 等. 多因素影响下的起落架收放系统性能分析[J]. 北京航空航天大学学报, 2015, 41(05):953-960.
YIN Y, NIE H, WEI X H, et al. Retraction system per-formance analysis of landing gear with the influence of multiple factors[J]. Journal of Beijing University of Aer-onautics and Astronautics, 2015, 41(05):953-960 (in Chinese).
[94] EARLES S W E, WU C L S. Motion analysis of a rigid-link mechanism with clearance at a bearing, using La-grangian mechanics and digital computa-tion[C]//Mechanisms 1972 Conference, 1973, 1973:83-89.
[95] HONGXIAN W, HONG N. Performance Analysis on Retractable Landing Gear and Design of Ground Test System [J]. Transactions of Nanjing University of Aero-nautics and Astronautics, 2016, 33(06):670-677.
[96] YIN Y, XU K, NIE H, et al. Dynamics Analysis of Spa-tial Landing-Gear Mechanism with Hinge Clearance and Axis Deviation[J], 2020:1-13.
[97] KNOWLES J A C, KRAUSKOPF B, LOWENBERG M H. Numerical Continuation Applied to Landing Gear Mechanism Analysis[J]. Journal of Aircraft, 2011, 48(4):1254-1262.
[98] YIN Y, NEILD S A, JIANG J Z, et al. Optimization of a Main Landing Gear Locking Mechanism Using Bifurca-tion Analysis[J]. Journal of Aircraft, 2017, 54(6):2126-2139.
[99] KNOWLES J A C, KRAUSKOPF B, LOWENBERG M. Numerical continuation analysis of a three-dimensional aircraft main landing gear mechanism[J]. Nonlinear Dynamics, 2013, 71(1-2):331-352.
[100] KNOWLES J A C, LOWENBERG M H, NEILD S A, et al. A bifurcation study to guide the design of a landing gear with a combined uplock/downlock mechanism[J]. Proceedings of the Royal Society a-Mathematical Physi-cal and Engineering Sciences, 2014, 470(2172):22.
[101] KNOWLES J A C. Bifurcation Study of a Dynamic Model of a Landing-Gear Mechanism[J]. Journal of Air-craft, 2016, 53(5):1468-1477.
[102] 杨易鑫, 印寅, 聂宏, 等. 基于分岔理论的起落架撑杆式锁机构设计[J]. 航空学报, 2020, 41(11):367-382.
YANG Y X,YIN Y, NIE H, et al. Strut locking mech-anism design for landing gear based on bifurcation theo-ry[J]. Acta Aeronautica et Astronautica Sinica, 2020, 41(11):367-382 (in Chinese).
[103] KNOWLES J A C, KRAUSKOPF B, COETZEE E B. Unlocking a nose landing gear in different flight condi-tions: folds, cusps and a swallowtail[J]. Nonlinear Dy-namics, 2021, 106(4):2943-2961.
[104] KNOWLES J A C, KRAUSKOPF B, LOWENBERG M H, et al. Numerical Continuation Analysis of a Dual-Sidestay Main Landing Gear Mechanism[J]. Journal of Aircraft, 2014, 51(1):129-143.
[105] XU K, YIN Y, YANG Y, et al. Kinematic Singularity and Bifurcation Analysis of Sidestay Landing Gear Locking Mechanisms[J]. International Journal of Aero-space Engineering, 2021, 2021:1-15.
[106] XU K, YIN Y, YANG Y X, et al. Bifurcation analysis of dual-sidestay landing gear locking performance consider-ing joint clearance[J]. Chinese Journal of Aeronautics, 2022, 35(7):209-226.
[107] ZHANG Z, WU S, ZHU H, et al. Analysis of the Syn-chronized Locking Dynamic Characteristics of a Dual-Sidestay Main Landing Gear Retraction Mechanism[J], 2024, 11(5):356.
[108] YIN Y, YANG Y, XU K, et al. Bifurcation characteristics of emergency extension of a landing gear mechanism considering aerodynamic effect[J]. Journal of Aerospace Engineering, 2021, 34(5):04021046.
[109] 徐奎. 双撑杆起落架收放动力学及锁定分岔特性研究[D].南京航空航天大学, 2021.
XU K. Dynamics and Locking Bifurcation Analysis of Retraction of Dual-Sidestay Landing Gear[D]. Nanjing University of Aeronautics and Astronautics, 2021 (in Chinese).
[110] BUREAU E, SCHILDER F, SANTOS I F, et al. Exper-imental bifurcation analysis of an impact oscillator—tuning a non-invasive control scheme[J], 2013, 332(22):5883-5897.
[111] RENSON L, SHAW A D, BARTON D A W, et al. Ap-plication of control-based continuation to a nonlinear structure with harmonically coupled modes[J]. Mechani-cal Systems and Signal Processing, 2019, 120:449-464.
[112] LI Y, YIN Y, ZHANG Z, et al. Control-Based Continua-tion Methods for Bifurcation Characteristic Study of Landing Gear Strut Locking Mechanism[C]//Advances in Automation, Mechanical and Design Engineering: SAMDE 2023. Mechanisms and Machine Science (161), 2024:177-185.