Sheet (2) Vehicle Dynamics (2)
Problem 1. Calculate the maximum self-
aligning torque in three cases of caster
angle (positive 5 degrees, negative 5
degrees, and zero) of the front axle tires
during cornering, the front axle is under
negative camber thrust with 400 N the
slip angle is 5 degrees ,the tire lateral
stiffness is 42 kN/rad, if the pneumatic
trail is 40 mm, and the tire radius is 0.35
m. and write your comment based on the results.
Problem 2. A passenger car weighs 1.5 tons and has a wheelbase of 2.8 m. The
weight distribution on the front axle is 55%. If the cornering stiffness of each of the
front tires is 42 kN/rad and the rear tires are 45 kN/rad. In case the car was exposed
to lateral aerodynamic resistance during maneuvering, as a result the lateral force
acting on the car center of gravity is 2000 N from outside to inside the curved
path, if the turning radius is 30 m.
a.
Determine the steady-state handling behavior without the effect of
aerodynamic resistance.
b.
Determine the steady-state handling behavior with the effect of aerodynamic
resistance.
c.
Determine the steady-state handling characteristics to steering input (yaw
velocity gain, and lateral acceleration gain) if the vehicle speed is 80 km/h in both
previous cases.
Problem 3. A passenger car weighs 1.5 tons and has a wheelbase of 2.8 m. The
weight distribution on the front axle is 55%. If the cornering stiffness of each of the
front tires is 42 kN/rad and the rear tires are 45 kN/rad. In case the car was exposed
to lateral aerodynamic resistance during maneuvering, as a result the lateral force
acting on the car center of gravity is 2000 N from outside to inside the curved path,
if the turning radius is 30 m.
a. -Determine the steady-state handling behavior
without the effect of aerodynamic resistance.
b. -Determine the steady-state handling behavior
with the effect of aerodynamic resistance.
c. -Determine
the
steady-state
handling
characteristics to steering input (yaw velocity
gain, and lateral acceleration gain) if the vehicle
speed is 80 km/h in both previous cases.
Problem 4. Draw the relation between the vehicle
speed and front tire steering angle of a threewheeled vehicle, the wheelbase is 2020 mm, if the
cornering stiffness of the front and rear tires are
equals, if the turning radius is 25 m, If the rear axle
is loaded, and the resulting distance between the
front axle and the center of gravity is half the
wheelbase and the understeer coefficient is (-0.015).