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.