Analysis of Flexible Aircraft Design Using Reduced Order Modelling

Sanchit Choudhary, Vilas H. Gaidhane, V. Naranje
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Abstract

It is generally known that manual calculations of an aircraft's design characteristics using mathematical modelling can occasionally be impracticable, and this continues to be a challenge for researchers. In the aviation business, several intricate equations are used to simulate the fundamental building blocks of an aeroplane. Euler angles such as body-fixed velocity, pitch, yaw rates, and bank angles need to be included in the modelling equations. However, the skill of the designer is necessary for the formulation and analysis of such complicated equations. In this paper, a functioning aeroplane is created using a reduced-order model. The MATLAB 2022b software platform is used to determine the Euler angle parameters. From various experiments, it has been observed that the step and impulse response for the normal and reduced order transfer functions are closely similar. Moreover, the gain margin and phase margin are also approximately the same for both models.
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基于降阶模型的柔性飞机设计分析
众所周知,使用数学模型手动计算飞机的设计特性有时是不切实际的,这对研究人员来说仍然是一个挑战。在航空工业中,一些复杂的方程式被用来模拟飞机的基本组成部分。欧拉角,如物体固定速度,俯仰,偏航率和倾斜角需要包括在建模方程中。然而,对于这种复杂的方程的表述和分析,设计者的技巧是必要的。本文利用降阶模型建立了一架正常运行的飞机。利用MATLAB 2022b软件平台确定欧拉角参数。从各种实验中可以观察到,正常传递函数和降阶传递函数的阶跃响应和脉冲响应非常相似。此外,两种模型的增益裕度和相位裕度也大致相同。
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