On a Roll: Roll rates in a Vehicle

Archit Rastogi
6 min readAug 7, 2020

This could be treated as part 2 of the spring rates post.

When the vehicle goes through the corner, it experience the roll motion when the roll center of the vehicle doesn’t coincide with the vehicle center of mass(which usually is the case). Vehicle roll motion affects the wheel loading which in turn affects the available tire lateral/longitudinal forces and hence the performance of the vehicle.

Image Courtesy: https://carsexplained.wordpress.com/2017/02/21/fundamentals-of-car-science-pitch-and-roll/

This body roll during the corner is opposed by a roll stiffness. Roll stiffness can be defined as the roll resisting moment of the body (sprung mass) about the roll axis. It is usually expressed in (torque) N-m/degree of roll.

It can be provided by various components in the vehicle: springs, ARBs , tires and compliances with the primary stiffness coming from springs and Anti-Roll Bars. The vehicle level properties like location of center of mass, roll center location and axle track width also plays a big part. Roll stiffness of the complete vehicle is the sum of the separate roll stiffness rates of all vehicle elements.

Roll Gradient

The stiffness in roll is also conveniently expressed in normalized form for the entire vehicle as degrees of roll per unit lateral acceleration. (deg/g) This is called roll gradient. Some typical roll gradient values are :

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