2.810 Car Suspensions James Penn 10/25/2010
Video Contest Second Round
Video Contest Final
Video 2008 Team C vs Speed Bump
Bump
No Suspension
Quarter Car Suspension Model
2 nd Order Frequency Response
Quarter Car Suspension Model
Car and Unsprung Responses
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.
m c =0.5kg, m us =0.02kg, k s =150N/m, v=3m/s
Adding Damping to damp oscillation of sprung mass by order of magnitude in one period logarithmic decrement
m c =0.5kg, m us =0.02kg, k s =150N/m, c s =5.9Ns/m, v=3m/s
Half Car Suspension Model
2008 Team C, v=3.5m/s
2008 Team C, v=4m/s
2008 Team C
2008 Team C Halfcar Model UnitValue mcmc kg1.3 IcIc kg.m 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
Natural Frequencies Want low Want high
2008 Team C Redesign UnitValue mcmc kg1.3 IcIc kg.m 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
Natural Frequencies Want low Want high
2008 Team C Redesign, v=3.5m/s
2002 Team C (Record Holder)
2002 Team C Halfcar Model UnitValue mcmc kg2.25 IcIc kg.m 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
2002 Team C, v=3.5m/s
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 –