Vejgeometri - Vestergaards Matematik Sider

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2 © Erik Vestergaard, Haderslev 2007 © Erik Vestergaard – www.matematiksider.dk
© Erik Vestergaard – www.matematiksider.dk 3 Indholdsfortegnelse 1. Indledning..................................................................................................................... 5 2. Plane kurver.................................................................................................................. 5 2.1 Parametriserede kurver........................................................................................... 5 2.2 Parameterskift......................................................................................................... 7 2.3 Naturlig parameterfremstilling ............................................................................... 8 2.4 Tangentdrejning og krumning ................................................................................ 9 2.5 Krumningscirkel ................................................................................................... 13 3. <strong>Vejgeometri</strong> ................................................................................................................ 16 3.1 Overgangskurver .................................................................................................. 16 3.2 Accelerationens komponenter .............................................................................. 22 3.3 Kørselsdynamik.................................................................................................... 23 4. Andre anvendelser af klotoiden.................................................................................. 25 4.1 Klotoider og rutsjebaner ....................................................................................... 25 4.2 g-påvirkninger ...................................................................................................... 26 Appendiks A............................................................................................................... 30 Opgaver .......................................................................................................................... 32 Hjemmesider................................................................................................................... 45 Litteratur ......................................................................................................................... 45
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