飞机前轮摆振影响因素分析
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摘要
为了更好地分析飞机前轮摆振的影响因素,量化初始干扰因素值对临界摆振速度下飞机前轮摆振振幅的影响。基于线性假设,建立了飞机前轮摆振的动力学模型。在起落架结构参数固定的情况下,用特征值分析法求解出飞机摆振的临界滑跑速度。应用MATLAB/Simulink建立仿真框图,绘出飞机前轮摆角在临界滑跑速度下的时域曲线。在临界滑跑速度下,分析了各影响因素初始值对于飞机前进方向上稳定摆振振幅的影响,并提出初值影响因子的概念,计算得到各初始干扰因素的初值影响因子。最后,分析了在临界滑跑速度下,初始干扰因素的大小对飞机前轮稳定摆振频率的影响,并得出初始干扰因素的大小对飞机前轮摆振频率并无影响的结论。
In order to conduct an in-depth analysis on the shimmy of the aircraft's nose wheel,the influence of initial interference factors on the amplitude of shimmy of the aircraft's nose wheel at the critical taxiing speed is quantitatively analyzed.Based on the linear hypothesis,the related dynamic model is set up. When the landing gear's structural parameters are fixed,the eigenvalue analysis is conducted to calculate the shimmy's critical taxiing speed. MATLAB/Simulink is adopted to build up the simulation diagram,and the time-domain curve of the shimmy angle at the critical taxiing speed is identified. When the aircraft is moving forward at the critical taxiing speed,the influence of the initial values of different influencing factors on the amplitude of steady shimmy is analyzed. The concept of initial-value influencing factor is presented,and the related values are calculated. Finally,the influence of initial values on the frequency of shimmy of the aircraft's nose wheel at critical taxiing speed is analyzed. It's concluded that these initial interference factors have no effect on the frequency of shimmy of the aircraft's nose wheel.
In order to conduct an in-depth analysis on the shimmy of the aircraft's nose wheel,the influence of initial interference factors on the amplitude of shimmy of the aircraft's nose wheel at the critical taxiing speed is quantitatively analyzed.Based on the linear hypothesis,the related dynamic model is set up. When the landing gear's structural parameters are fixed,the eigenvalue analysis is conducted to calculate the shimmy's critical taxiing speed. MATLAB/Simulink is adopted to build up the simulation diagram,and the time-domain curve of the shimmy angle at the critical taxiing speed is identified. When the aircraft is moving forward at the critical taxiing speed,the influence of the initial values of different influencing factors on the amplitude of steady shimmy is analyzed. The concept of initial-value influencing factor is presented,and the related values are calculated. Finally,the influence of initial values on the frequency of shimmy of the aircraft's nose wheel at critical taxiing speed is analyzed. It's concluded that these initial interference factors have no effect on the frequency of shimmy of the aircraft's nose wheel.
引文
[1]William J Moreland.The story of shimmy[J].Journal of the Aeronautical Sciences,1954,21(12):793-808.
[2]孟祥彬,潘志毅,陈礼,等.起重机带载行驶状态下吊重摆振冲击系数研究[J].机械设计,2014,31(5):62-65.
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[6]Elmas Atabay,Ibrahim Ozkol.Application of a magnetorheological damper modeled using the current-dependent BoucWen model for shimmy suppression in a torsional nose landing gear with and without freeplay[J].Journal of Vibration and Control,2014,20(11):1622-1644.
[7]李莹,王博,祝世兴.起落架磁流变减摆器模糊PID控制算法的研究[J].计算机测量与控制,2016,24(2):80-83.
[8]陈大伟,顾宏斌,吴东苏.基于磁流变阻尼器的起落架摆振半主动控制[J].中国机械工程,2010,21(12):1401-1405.
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[10]罗琳胤,边宝龙.飞机起落架缓冲性能仿真分析[J].机械设计,2012,29(4):56-58,62.
[11]田静,倪卫国,祝世兴.剪切阀式磁流变减震器磁路分析与仿真[J].液压与气动,2015(12):45-48.
[12]顾宏斌,丁运亮,姚志,等.飞机机轮摆振的数字仿真[J].航空学报,2001(4):362-365.
[13]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.
[14]Somieski G.Shimmy analysis of a simple aircraft nose landing gear model using different mathematical methods[J].Aerospace Science&Technology,1997,1(8):545-555.
[15]王学军.飞机前轮摆振稳定性分析[D].南京:南京航空航天大学,1991.
[16]Collins R L.Theories on the mechanics of tires and their applications to shimmy analysis[J].Journal of Aircraft,1971,8(4):271-277.
[17]Pacejka H B.Analysis of the shimmy phenomenon[J].Proc Instn Mech Engrs,1965,180(10):251-268.
[18]陈大伟,顾宏斌,刘晖.起落架摆振主动控制分岔研究[J].振动与冲击,2010,29(7):38-42,234.
[19]Howcroft C C,Lowenberg M M,Neild S S,et al.Shimmy of an aircraft main landing gear with geometric coupling and mechanical freeplay[J].Journal of Computational and Nonlinear Dynam,2015,10(5):051011-14.
[20]Fei Feng,Hong Nie,Ming Zhang,et al.Effect of torsional damping on aircraft nose landing-gear shimmy[J].Journal of Aircraft,2015,52(2):561-568.
[2]孟祥彬,潘志毅,陈礼,等.起重机带载行驶状态下吊重摆振冲击系数研究[J].机械设计,2014,31(5):62-65.
[3]诸德培.摆振理论及防摆措施[M].北京:国防工业出版社,1983:25-65.
[4]Gerhard Somieski.Shimmy analysis of a simple aircraft nose landing[J].Aerospace,1997,8(1):545-555.
[5]聂宏,魏晓辉.飞机起落架动力学设计与分析[M].西安:西北工业大学出版社,2012.
[6]Elmas Atabay,Ibrahim Ozkol.Application of a magnetorheological damper modeled using the current-dependent BoucWen model for shimmy suppression in a torsional nose landing gear with and without freeplay[J].Journal of Vibration and Control,2014,20(11):1622-1644.
[7]李莹,王博,祝世兴.起落架磁流变减摆器模糊PID控制算法的研究[J].计算机测量与控制,2016,24(2):80-83.
[8]陈大伟,顾宏斌,吴东苏.基于磁流变阻尼器的起落架摆振半主动控制[J].中国机械工程,2010,21(12):1401-1405.
[9]李忠献,徐龙河.新型磁流变阻尼器及半主动控制设计理论[M].北京:科学出版社,2012.
[10]罗琳胤,边宝龙.飞机起落架缓冲性能仿真分析[J].机械设计,2012,29(4):56-58,62.
[11]田静,倪卫国,祝世兴.剪切阀式磁流变减震器磁路分析与仿真[J].液压与气动,2015(12):45-48.
[12]顾宏斌,丁运亮,姚志,等.飞机机轮摆振的数字仿真[J].航空学报,2001(4):362-365.
[13]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.
[14]Somieski G.Shimmy analysis of a simple aircraft nose landing gear model using different mathematical methods[J].Aerospace Science&Technology,1997,1(8):545-555.
[15]王学军.飞机前轮摆振稳定性分析[D].南京:南京航空航天大学,1991.
[16]Collins R L.Theories on the mechanics of tires and their applications to shimmy analysis[J].Journal of Aircraft,1971,8(4):271-277.
[17]Pacejka H B.Analysis of the shimmy phenomenon[J].Proc Instn Mech Engrs,1965,180(10):251-268.
[18]陈大伟,顾宏斌,刘晖.起落架摆振主动控制分岔研究[J].振动与冲击,2010,29(7):38-42,234.
[19]Howcroft C C,Lowenberg M M,Neild S S,et al.Shimmy of an aircraft main landing gear with geometric coupling and mechanical freeplay[J].Journal of Computational and Nonlinear Dynam,2015,10(5):051011-14.
[20]Fei Feng,Hong Nie,Ming Zhang,et al.Effect of torsional damping on aircraft nose landing-gear shimmy[J].Journal of Aircraft,2015,52(2):561-568.