EGM6321 - Principles of Engineering Analysis 1, Fall 2010
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Mtg 1: Tue, 24 Aug 10
- course website, wiki
- high-speed trains
German transrapid (electromagentic attraction)
Japanese MAglev (electrodynamic repulsion)
Grench TGV (wheel on rail)
Vu Quoc and Olsson 1989 CMAME
vehicle/structure interaction, where vehicle is the high speed maglev and the structure is the the flexible guideway
nominal position of wheel (w/o guideway definition)
, horizontal coordinate
axial deformation (displacement) of guideway, where is the time parameter
transverse deformation (displacement) of guideway
, where := means equal by definition (non symmetric)
NOTE: and def are symbols (no direction)
means A is defined by B
means B is defined by A
Axial displacement under moving wheel/magnet
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(1)
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Where
General setting: , where
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(2)
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(3)
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where
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(4)
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Where
and