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2.810 Car Suspensions James Penn 10/25/2010
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Video 2008 2.810 Contest Second Round
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Video 2008 2.810 Contest Final
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Video 2008 Team C vs Speed Bump
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Bump
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No Suspension
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Quarter Car Suspension Model
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2 nd Order Frequency Response
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Quarter Car Suspension Model
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Car and Unsprung Responses
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Quarter Car Suspension Design Unsprung mass should be much less than sprung mass. Suspension should be just stiff enough to keep the unsprung response faster than the input.
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m c =0.5kg, m us =0.02kg, k s =150N/m, v=3m/s
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Adding Damping to damp oscillation of sprung mass by order of magnitude in one period logarithmic decrement
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m c =0.5kg, m us =0.02kg, k s =150N/m, c s =5.9Ns/m, v=3m/s
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Half Car Suspension Model
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2008 Team C, v=3.5m/s
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2008 Team C, v=4m/s
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2008 Team C
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2008 Team C Halfcar Model UnitValue mcmc kg1.3 IcIc kg.m 2 0.01 lflf m0.102 lrlr m0.127 k sf N/m2000 c sf N.s/m4 k sr N/m1600 c sr N.s/m2 m usf kg0.044 m usr kg0.6 k tf N/m6000 c tf N.s/m3.2 k tr N/m20000 c tr N.s/m6.4
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Natural Frequencies Want low Want high
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2008 Team C Redesign UnitValue mcmc kg1.3 IcIc kg.m 2 0.01 lflf m0.102→0.127 lrlr m0.127→0.102 k sf N/m2000→800 c sf N.s/m4 k sr N/m1600→800 c sr N.s/m2 m usf kg0.044 m usr kg0.6→0.1 k tf N/m6000 c tf N.s/m3.2 k tr N/m20000 c tr N.s/m6.4
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Natural Frequencies Want low Want high
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2008 Team C Redesign, v=3.5m/s
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2002 Team C (Record Holder)
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2002 Team C Halfcar Model UnitValue mcmc kg2.25 IcIc kg.m 2 0.02 lflf m.102 lrlr m k sf N/m∞ c sf N.s/mN/A k sr N/m∞ c sr N.s/mN/A m usf kgN/A m usr kgN/A k tf N/m6000 c tf N.s/m8 k tr N/m1200 c tr N.s/m10
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2002 Team C, v=3.5m/s
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Concluding Thoughts Minimize unsprung mass –If rear suspension is pivoting, move motor forward. Avoid placing center of mass far forward. Avoid making suspensions too stiff. –Thin, long sheets (k~(t/L) 3 ) –k parallelogram =2*E*b*(t/L) 3 ω n,c ≈30rad/s, ω n,us ≈100rad/s –
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