Dynamics of a Four Wheeled Vehicle and the Effects of Suspension Geometry

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Abstract
An analysis of the dynamics of a four wheeled vehicle is made with a view to determining the design requirements that will eliminate sprung mass motions during acceleration, braking and on curves. No restriction is put on the values of the spring rates of the suspension system in this analysis and thus the results are valid for vehicles with very low suspension spring rates. The results of the analysis show that it is possible to eliminate sprung mass motions under these conditions: (1) if the four wheels move in certain prescribed paths with respect to the sprung mass; (2) if the braking and acceleration forces are distributed between the front and rear wheels in a prescribed ratio; (3) if the sprung mass distribution is such that it makes a certain product of inertia of this mass zero.

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