Sinking Velocity Compact-Analysis of Carrier-Based Aircraft Based on Improved Kriging Model

基于改进Kriging模型的舰载机着舰下沉速度影响性分析研究

¹ School of Aeronautics, Northwestern Polytechnical University, Xi’an 710072, China
² School of Astronautics, Northwestern Polytechnical University, Xi’an 710072, China

Received: 2 May 2018

Abstract

The sinking velocity of carrier-based aircraft is an important input for landing gear design, and has a great influence on the weight of the landing gear and airframe structure. Aiming at exploring the effect of the various related landing parameters on the sinking velocity for carrier-based aircraft at the actual service environment, and based on F/A-18A measured landing data, the correlation degree between 15 landing parameters and sinking velocity is analyzed by partial correlation analysis method in multivariate statistics. The results show that the aircraft instantaneous gliding angle and deck pitch angle are highly correlated with the sinking velocity, the approach velocity and the engaging velocity are moderately correlated with the sinking velocity. The above four parameters are used as the independent variables, an improved Kriging surrogate model for the sinking velocity of F/A-18A aircraft is established, and Genetic algorithm is used to optimize the undetermined coefficients of correlation functions. The complex correlation coefficient of the sinking velocity predicted by the proposed model is 0.981, the average relative error is 1.813% and the maximum relative error is 6.771%. And comparing the empirical formula with the ordinary Kriging model, the precision index is the best. The proposed model provides the best prediction results. The improved Kriging surrogate model and the results obtained in this paper can provide a basis for studying the sinking velocity and controlling landing attitude for similar models carrier-based aircraft.

摘要

着舰下沉速度是舰载机起落架及其连接结构载荷设计的重要输入，直接影响到起落架和机体结构重量。为了探索舰载机使用环境下各参数对下沉速度的影响，基于F/A-18A飞机的实测着舰数据，采用多元统计学中偏相关分析方法分析了15个着舰参数与下沉速度的相关程度，结果表明飞机瞬时下滑角、甲板俯仰角与下沉速度呈高度相关，进场速度、舰上接合速度与下沉速度呈中度相关。以上述4个着舰参数作为自变量，将遗传算法用于相关函数待定系数的优化求解，并建立了F/A-18A飞机下沉速度改进的Kriging插值代理模型。所建模型给出的下沉速度预测结果的复相关系数为0.981、平均相对误差为1.813%及最大相对误差为6.771%，与经验公式及普通Kriging模型对比，精度指标均为最好。所提改进Kriging模型及得到的分析结果可为类似型号舰载机下沉速度研究及着舰姿态控制提供依据。