User:EGM6321.F10.TEAM1.WILKS/Mtg1

=EGM6321 - Principles of Engineering Analysis 1, Fall 2009=

Mtg 1: Tue, 25 Aug 09

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1-1 defined as (Meeting Number) - (Slide Number) German Transrapid Emsland 500 km/h, youtube, Uploaded by TransrapidSupporter on Feb 14, 2007 Vu-Quoc & Olson (1989) CMAME The magnet (i.e vehicle) and structure (i.e. guideway) interaction is shown below. Where: $$ y^1(t)= \ $$ nominal motion $$ u^1(s,t)= \ $$ axial displacement of guideway $$ u^2(s,t)= \ $$ transversal displacement of guideway

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$$ f(y^1(t),t) \ $$ Total time derivative of f is given as: Where $$ \dot y^1(t)=\frac{d}{dt}y^1(t) \ $$ $$ \frac{d}{dt}f=f_{,s}(y^1,t) \dot y^1+f_{,t}(y^1,t) $$ Where $$ \dot y^'= \dot y^2 $$ Coriolis forces - Dynamics

Material time derivative - Continuum Mechanics

Reynolds transport theorem - Continuum Mechanics is an example of a nonlinear ordinary differential equation (ODE)