
285Haptic Applications for Vehicles
pressure. Therefore, the manifold dynamics are usually modeled as a rst-
order linear system as:
p k m M( )
= − (9.20)
where k = 0.5786, which is determined from specic gas constant, tempera-
ture, and manifold volume under idealized assumptions.
is the mass
ow rate into the cylinder given by [20, 21]
M pn np n p0.366 8.979979 337 0.01
2 2
= − + − +
(9.21)
where n is the angular velocity of the engine. The air-fuel mixture is charged
into the cylinder during the intake stroke, which takes place in the rst π
rotation of the crankshaft in the four-stroke cycle: the intake, compression,
combustion, and ...