摘要
针对普通飞机全量运动方程存在的欧拉方程奇异性问题,提出一种基于改进欧拉角公式的建模方法。该方法在质点模型的基础上增加了飞机操纵面对飞机欧拉角的影响,同时配合使用一种变步长解算方法,可以克服欧拉方程奇异性问题,模型计算精度高于其他克服欧拉方程奇异性的飞行仿真模型。通过与使用常规欧拉角公式的飞行仿真模型进行实验对比,证明所提出模型能够满足仿真精度和实时性要求。通过进行飞机翻筋斗运动的仿真,验证了模型能够避免欧拉方程奇异性的性能。
Aiming at the singularity problem of common full flight motion equation, a modeling method based on improved Euler angle formula is proposed. On the basis of the modified small perturbation modeling equation, this method increases the influence of aircraft maneuvering surface on the aircraft Euler angle and a variable step solution algorithm is used. The model can overcome the singularity problem of common Euler equation, and the accuracy of model calculation is higher than other flight simulation models which overcome the singularity of Euler equation. Compared with the flight simulation model using the conventional Euler angle formula, the proposed model can meet the requirements of simulation accuracy and real-time performance. The simulation of the aircraft’s tumbling bucket motion is carried out to verify that the model can avoid the singularity of Euler equation.
作者
贾立山
李昂
Jia Lishan;Li Ang(Air Traffic Control Base of Civil Aviation University of China,Tianjin 300300,China;College of Electronic Information and Automation of Civil Aviation University of China,Tianjin 300300,China;College of Aeronautical Engineering of Civil Aviation University of China,Tianjin 300300,China)
出处
《系统仿真学报》
CAS
CSCD
北大核心
2021年第2期339-345,共7页
Journal of System Simulation
基金
中国民航大学空管基地开放基金(KGJD201701)。
关键词
改进欧拉角公式
飞机质点模型
飞行仿真
变步长算法
模型验证
逼真度
improvement of Euler angle formula
aircraft particle model
flight simulation
variable step algorithm
model verification
fidelity of simulation
