Side View Instant Center
The point in the side elevation around which the wheel center rotates as it moves vertically. The instant center has two components, fore and aft and vertical. The fore and aft measurement is positive rearward of the wheel center. The vertical measurement is positive above the tire patch.
Computed by:
SVCICR
Input Variables Used:
Compliance matrix
Method:
SVC computes the instant center from the DX, DY, DZ, and DTHETA of the wheel center due to vertical forces applied on both sides:
left side right side
DX = C( 1,3 ) + C( 1,9 ) = C( 7,3 ) + C( 7,9 )
DZ = C( 3,3 ) + C( 3,9 ) = C( 9,3 ) + C( 9,9 )
DTHETA = C( 5,3 ) + C( 5,9 ) = C( 11,3 ) + C( 11,9 )
The radius of the circle described is:
R = SQRT( DX2 + DZ2 ) / DTHETA
The angle of the line connecting the wheel center to the instant center is:
ANG = arctan( -DX / DZ )
The instant center position is then:
fore and aft = R cos( ANG )
vertical = R sin( ANG ) + Rolling Radius
Instant Center Side View (Fore and Aft, Vertical)
Note: | The figure above describes the vertical instant center with respect to wheel center, but the calculation includes the rolling radius so that the vertical instant center is determined with respect to tire patch. |