Proposal for a bachelor thesis projectolofr/KEX/Steering.pdf · • The most interesting problem...
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Proposal for a bachelor thesis project September 19, 2014 Renault HGV. © David Wright CC-BY-2.0 1 Title Rear-wheel steering: Why is it hard to drive a long vehicle backward into a gateway? 2 Background One of the most challenging tasks for a beginner in car driving is the problem of back- wards manoevring in space-limited parking places. It is so much easier to drive for- wards! Why? 3 General Task Your task consists of constructing a model for the steering of a car, investigating some special cases analytically w r t stability, and finally numerically investigate the general case. 4 Steps • Derive a mathematical model! This will be a (system of) ordinary differential equations. • Stability analysis using a linearized model • Compute trajectories under different steering assumptions! 1
Transcript of Proposal for a bachelor thesis projectolofr/KEX/Steering.pdf · • The most interesting problem...
Proposal for a bachelor thesis project
September 19, 2014
Renault HGV. © David Wright CC-BY-2.0
1 TitleRear-wheel steering: Why is it hard to drive a long vehicle backward into a gateway?
2 BackgroundOne of the most challenging tasks for a beginner in car driving is the problem of back-wards manoevring in space-limited parking places. It is so much easier to drive for-wards! Why?
3 General TaskYour task consists of constructing a model for the steering of a car, investigating somespecial cases analytically w r t stability, and finally numerically investigate the generalcase.
4 Steps• Derive a mathematical model! This will be a (system of) ordinary differential
equations.
• Stability analysis using a linearized model
• Compute trajectories under different steering assumptions!
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• The most interesting problem for a car driver: Given a parking lot, how do I haveto turn the wheel for smooth parking?
5 References• RMM Mattheij, J Molenaar: Ordinary differential equations in theory and prac-
tice. Whiley 1996
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