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Unformatted text preview: 1 The Use of Mathematics in Industry Alan Stevens Spet  Mathematical Modelling & Simulation RollsRoyce Loughborough University LTSN Engineering SwapShop January 29 th 2004 2 Elliptical Tank 3 Elliptical Tank x y a b d A 4 Elliptical Tank 2 b b d A xdy = ∫ 2 2 1 x y a b + = ÷ ÷ cos sin x a y b φ φ = = 5 Elliptical Tank / 2 2 2 cos A ab d π θ φ φ = ∫ sin b d b θ = 2 2 sin 2 A ab θ θ π + = 6 Elliptical Tank 0.2 0.4 0.6 0.8 1 1.2 1.4 1.6 0.5 1 1.5 2 2.5 3 3.5 θ [radians] lhs, rhs θ = 0.59 d/b = 1sin θ = 0.45 7 Active Magnetic Bearings 8 Active Magnetic Bearings 9 Active Magnetic Bearings copper wire epoxy resin 10 Active Magnetic Bearings r+ t r t 11 Active Magnetic Bearings r+ t r t 2 Cu R ln 2 2 P r r r r t T r k k r π + ∆ = + ÷ ÷ ÷ ( 29 2 Eff 2 2 P r t r t T k r t π + + ∆ = ÷ ÷ + 12 Active Magnetic Bearings Eff Cu R 1 1 2 ln k r t k k r = + + ÷ 13 Active Magnetic Bearings 14 Active Magnetic Bearings r t r s 15 Active Magnetic Bearings 2 Area Length Perimeter × = 16 Active Magnetic Bearings r t r s 2 Area Length Perimeter × = t ( 29 ( 29 2 2 4 4 r s r r s r π π + + 17...
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This note was uploaded on 11/11/2011 for the course MATH 112 taught by Professor Jarvis during the Winter '08 term at BYU.
 Winter '08
 JARVIS
 Math

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