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Decomposition Analysis of an Automotive Powertrain Design ...

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Appendix B: Parameters in Optimization Model<br />

Table B.1: Summary <strong>of</strong> optimization model parameters.<br />

Variable Description Value Units<br />

τ 0 Baseline 0-60 mph time 11 sec<br />

τ 1 Baseline 5-20 mph time 1.81 sec<br />

S o-4 Dist<strong>an</strong>ce traveled 4 seconds on max. accel 88.4 ft<br />

α s Grade limit 30 %<br />

V c Cruising speed @ grade 65 mph<br />

A Vehicle frontal area 22.7 ft 2<br />

Cd Vehicle body drag coefficient .33<br />

Hcg Height <strong>of</strong> center <strong>of</strong> gravity 20.5 in<br />

M g Weight <strong>of</strong> vehicle 3537 lbf<br />

Ld Dist<strong>an</strong>ce from center <strong>of</strong> gravity to driving axle 40.28 in<br />

Lnd Dist<strong>an</strong>ce from center <strong>of</strong> gravity to non-driving axle 65.72 in<br />

Lw Wheelbase 106 in<br />

Sw Length <strong>of</strong> axle 60.2 in<br />

re Effective tire radius 12.24 in<br />

µo Coefficient <strong>of</strong> adhesion 1.00<br />

Id Rotational inertia <strong>of</strong> driving wheel .62 lbf-ft-sec 2<br />

Ind Rotational inertia <strong>of</strong> non-driving wheel .62 lbf-ft-sec 2<br />

ngears Number <strong>of</strong> gears in gearbox 4<br />

Ifd Rotational inertia <strong>of</strong> differential .0124 lbf-ft-sec 2<br />

It Rotational inertia <strong>of</strong> torque converter turbine .0874 lbf-ft-sec 2<br />

Ii Rotational inertia <strong>of</strong> torque converter impeller .0293 lbf-ft-sec 2<br />

Ie Rotational inertia <strong>of</strong> engine .164 lbf-ft-sec 2<br />

Nidle Engine idle speed 700 rpm<br />

vtype Valvetrain type pushrod<br />

etype Engine type V<br />

Cstiff Valvetrain stiffness factor .970<br />

Cs System discharge coefficient .325<br />

Cm M<strong>an</strong>ifold discharge coefficient .650<br />

Cp Port discharge coefficient .413<br />

nbm Number <strong>of</strong> main bearings 4<br />

ηcat Catalyst NOx effiecincy 0.90

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