Computer simulation techniques are being used by vehicle suspension designers in an effort to obtain the optimum combination of suspension components to provide the maximum cross-country mobility for a vehicle. The ultimate effectiveness of the suspension will be dependent upon the ability of the computer simulation to accurately compute the dynamic responses of the vehicle as it traverses a cross-country terrain profile. The high degree of accuracy can only be obtained by exercising great care in the mathematical modelling procedures. Actual dynamic characteristics of the vehicle and suspension are required, which include their non-linear and discontinuous characteristics which develop as the vehicle traverses a cross-country terrain profile. When extreme care is exercised during the development of the mathematical model, the computer analysis of vehicle response will correlate within a few per cent of actual full-scale test values. This suspension technique will provide the suspension designer with a reliable method of obtaining an optimum design in a short period of time at a low programme cost.