摘要纸靶法是一种传统的测量弹丸攻角等姿态的测试方法，其具有“简单、直观、经济”等特点，在射击试验中仍然常被用于测量弹丸姿态的数据。在弹丸自由飞行过程中，弹轴围绕着其速度轴做两个不同频率的相对圆运动，该运动模型中包含了诸多气动力系数，称为“两圆运动”。为获得弹丸的气动力矩系数，本课题以六自由度弹道方程为基础，推导了弹丸的攻角运动模型，并通过线性化求解得到了两圆运动数学模型；利用CHAPMAN-KIRK方法的基本原理，在两圆运动数学模型基础上推导出了弹丸气动力矩系数辨识模型，并在Visual Basic开发环境下编制了可视化计算程序；最后，采用某次纸靶试验获得的攻角数据，对所编制气动力矩系数辨识程序进行了算例验证，得出了气动力矩辨识结果，并对计算结果进行了较为详细的分析。84180

毕业论文关键词  攻角  纸靶法  CHAPMAN-KIRK法  两圆运动  参数辨识

毕业设计说明书外文摘要

Title  Identification of the Projectile’s the Fast and Slow   Epicyclic Yaw Modes Model Based on the angle of  attack Data Measured by Yaw Cards           

Abstract Yaw card is a traditional method for projectile attitude measurement, especially for angle of attack。 Owing to the characteristics of "simplicity, intuition and economic ", it is widely used to measure the data of projectile attitude in the firing test。 In the free-flight, the axis of projectile rotates with the velocity vector along two circular relatively with different frequencies。 The motion model which contains many aerodynamic coefficients is described as the "the Fast and Slow Epicyclic Yaw Modes"。 In order to identify the aerodynamic moment coefficients, this paper, based on the six-degree of freedom ballistic equations, derives the moving model of the projectile’s angle of attack, and then yields the mathematical model of the fast and slow epicyclic yaw modes by means of linearization。 With the CHAPMAN-KIRK algorithm, the identification model of the projectile’s aerodynamic moment coefficients can be derived from the fast and slow epicyclic yaw modes model。 Besides, a visual calculation program about the model based on Visual basic development platform is compiled。 An example is given to verify the program utilizing the data obtained from the yaw cards in the firing test, and calculates the numerical results of the aerodynamic moment coefficients。 According to the results, detailed analysis has been carried out after the case。

Keywords  angle of attack  yaw cards  CHAPMAN-KIRK algorithm the fast and slow epicyclic yaw modes  parameter identification

目   次

1 绪论 1

1。1 研究背景 1

1。2 研究现状 1

1。2。1 弹丸姿态测量的研究现状 1

1。2。2 气动参数辨识的研究现状 2

1。3 本课题的研究内容 4

2 弹丸飞行姿态测定——纸靶实验 5

2。1 纸靶法的实验原理 5

2。2 攻角与弹孔长径关系 6

2。3 某155mm弹丸的攻角与弹孔长轴的关系 7

3 弹丸两圆运动模型 9

3。1 坐标系和弹丸的受力 9

3。1。1 坐标系与角度