摘要
用摄动法给出了当前轮减摆阻尼器含有速度平方阻尼时前轮摆振的极限环振幅表达式,并讨论了极限环的稳定性。在确定极限环振幅时,利用非线性系统所对应的线性系统在临界稳定时特征矩阵的特点,通过对特征矩阵进行三角分解,得到了消除摄动解中奇异项的条件,利用此条件,很方便地获得了飞机前轮非线性摆振的摄动解,并改正了有关文献中的错误。
The amplitudes of limit cycle solutions of nosegear nonlinear shimmy system with a velocity squared damper are obtained by using the perturbation method.The stability of the limit cycle solutions is discussed.For predicting the amplitudes of limit cycls solutions,the characteristics of the eigenmatrix of critically stable linear system are utilized.Through decomposing the eigenmatrix triangularly,the conditions of eliminating the secular terms are obtained.By using these conditions,the perturbation solutions of nosegear nonlinear shimmy system are obtained straightforwardly.At last,some errors in related literature are corrected.
出处
《振动工程学报》
EI
CSCD
1998年第3期346-350,共5页
Journal of Vibration Engineering
基金
高等学校博士学科点专项科研基金
关键词
摆振
极限环
非线性振动
摄动
飞机
前机轮
振幅
shimmy
limit cycle
nonlinear vibration
perturbation
secular terms