Vejgeometri - Vestergaards Matematik Sider

© 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. Vejgeometri ................................................................................................................ 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