基于功率谱密度法飞机地面变速滑跑动力学分析

提出了飞机地面变速滑跑的非稳态响应分析的新方法,该方法基于频域的功率谱密度法.建立了飞机地面滑跑的起落架分析模型;引入了概率平均意义上的当量线性化方法,用该方法处理了起落架缓冲器空气弹簧、油液阻尼和库仑摩擦力以及轮胎刚度和阻尼等非线性参数.利用变量代换和傅里叶变换导出了非稳态激励下的跑道不平度的功率谱密度函数.导出并分析了具有代表性的飞机重心过载的频率响应函数.工程算例表明,在达到相同的滑跑速度条件下,飞机加速滑跑引起的飞机重心过载响应比飞机地面匀速滑跑引起的飞机重心过载响应小;并且加速度越大,在达到相同的滑跑速度条件下所产生的飞机重心过载响应越小.

ANALYSIS FOR AIRCRAFT TAXIING AT VARIABLE VELOCITY ON UNEVENNESS RUNWAY BY THE POWER SPECTRAL DENSITY METHOD

In this paper a novel approach for the analysis of non-stationary response of aircraft landing gear taxiing over an unevenness runway at variable velocity is explored, which is based on the power spectral density method. A concerned analytical landing gear model for simulating actual aircraft taxiing is formulated. The equivalent linearization results obtained by probabilistic method are inducted to treat landing gear non-linear parameters such as shock-absorber air-spring force, hydraulic damping and Coulomb friction, tire stiffness and damping. The power spectral density for non-stationary analysis is obtained via variable substitution and then Fourier transform. A representative response quantity, the overload of the aircraft gravity center, is analyzed. The frequency response function of the gravity overload is derived. The case study demonstrates that under the same reached velocity the root-mean-square of the gravity acceleration response from constant acceleration taxiing is smaller than that from constant velocity taxiing and the root-mean-square of the gravity acceleration response from lower acceleration taxiing is greater than that from higher acceleration.