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UWE Bristol Engineering showcase 2015

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Jens Rucker<br />

MEng Aerospace <strong>Engineering</strong> (Systems <strong>Engineering</strong>)<br />

Project Supervisor:<br />

Dr. Pritesh Narayan<br />

Assessment of the Me 262’s performance during one engine operation<br />

Introduction<br />

The shown Me 262 is a replica from the<br />

Messerschmitt Foundation in Germany.<br />

In cooperation with them, this project is simulating<br />

the behaviour of the first axial flow engine<br />

powered aircraft of that times. It was faster than<br />

every existing aeroplane but had a lot of problems<br />

regarding the reliability of the engines (Jumo 004).<br />

As a replica it has to be certified as well and this<br />

project supports the process of conforming the<br />

regulations of the one engine operation with the<br />

help of engineering simulations and calculations<br />

based on the theory of the equations of motion of<br />

an aircraft.<br />

Research and concept<br />

The part B was based on the results from part A,<br />

where the dynamic model in MATLAB revealed<br />

some issues with the controllability. Therefore, the<br />

development was pushed into a realtime<br />

simulation model with Simulink. Based on the<br />

equations of motion and new estimated moments<br />

of inertia as essential inputs to the model.<br />

Consequently, the research focused initially on a<br />

method to estimate accurate moments of inertia<br />

(these have been the major uncertainty in part A)<br />

and later on the program Simulink to understand<br />

the software principles and the design steps.<br />

Changes to part A<br />

Initially, new findings concerning the MOI´s have<br />

been implemented to the models of part A.<br />

Additionally, the three models have been<br />

integrated to one comprehensive model with an<br />

extracted m-file for aircraft and condition<br />

parameters. This way it is possible to implement<br />

another model easily.<br />

Simulink Model Development<br />

The development was created step by step, where<br />

initially linear forces along the x-axis such as thrust<br />

and drag have been considered. Later the forces<br />

along the z-axis and the moments have been<br />

added and the equations of motion have been<br />

updated to consider more factors and to improve<br />

consistency.<br />

Throughout the development a variety of<br />

modifications and additional effects have been<br />

implemented. One example is the additional<br />

rolling moment due to the sideforce of the vertical<br />

tail (see next figure) and with specific calculations<br />

it was possible to visualise the movements with a<br />

simplified aircraft by Simulink.<br />

Results<br />

From the developed model it is possible to extract a<br />

variety of results such as angular rates, moments,<br />

forces or speeds and accelerations. The following<br />

figure shows the resulting moments after an engine<br />

failure with the initial oscillation in yaw:<br />

For the assessment of the one engine performance<br />

it is important to have a look at the angular rates as<br />

direct outcome as response to the moments.<br />

Here it can be seen that the Me262 oscillates in yaw<br />

and then changes the yaw angle (blue line) and the<br />

roll angle changes significantly (yellow line).<br />

Verifications have been performed with the<br />

engineering simulator at <strong>UWE</strong> and the software X-<br />

Plane. Overall many results can be reviewed with<br />

uncertainties in mind due to simplifications and<br />

missing effects.<br />

Project summary<br />

This project dealt with the assessment of<br />

performance in the case of an engine failure<br />

of the German WWII aircraft Me262 by<br />

Messerschmitt. This was done with the help<br />

of Simulink realtime simulations based on the<br />

theoretical equations of motion and the<br />

different moments acting during the<br />

asymmetric thrust situation<br />

Project Objectives<br />

The deeper understanding of the flight<br />

mechanics and the performance as well as<br />

the simulations of the aircraft should reveal<br />

dynamic results which enables the evaluation<br />

of the behaviour qualitatively and<br />

quantitavely with specific values such as<br />

minimum control speeds during one engine<br />

operation.<br />

Project Conclusion<br />

The development of the Simulink model<br />

offered some challenges and a significant<br />

amount of time was spent on debugging the<br />

model. After all there are uncertainties due to<br />

missing effects or simplifications. However, it<br />

is possible to assess the tendencies of the<br />

aircraft. The current model shows an initial<br />

oscillation in yaw and over the time it enters<br />

the spiral dive, which is a logic outcome and<br />

all values such as roll and yaw rates can be<br />

evaluated separately and in the big picture.

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