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Derivation of perturbed equations of motion of aircraft

机译:飞机运动方程的推导

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Flight dynamics courses are exciting except for the part where instructors derive long and complicated equations for seemingly endless time. Most students are left bewildered at the dull algebra. A refreshing approach to present the derivation of the equations of motion of aircraft is exemplified in this paper. The method is based on the finding that the students appreciate the algebra better if they are enlightened about the logic behind it. The derivation of the perturbed equations is unfolded through the theory of stability in the first approximation. Although the concept is as old as the equations themselves, it is amazing that it is not explained in this manner in books. The author's teaching experience has shown that this approach has led to substantial amelioration of the course. Students who are learning the course for the first time find the derivation of equations as gripping as the remaining portion when taught in this fashion.
机译:飞行动力学课程很令人兴奋,除了在那一部分中,指导员在看似漫长的时间内得出长而复杂的方程式。大多数学生对晦涩的代数感到困惑。本文举例说明了一种新颖的方法来表示飞机的运动方程。该方法基于这样的发现,即如果学生对代数背后的逻辑有所了解,则会更好地欣赏代数。通过一阶近似的稳定性理论展开了扰动方程的推导。尽管这个概念与方程本身一样古老,但令人惊讶的是,书中没有这样解释。作者的教学经验表明,这种方法大大改善了课程。首次学习该课程的学生在以这种方式进行教学时,发现方程的推导与其余部分一样令人着迷。

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