A wheeled vehicle to be fitted with common rubber - tire do not adapt to the desert area because of the wheel slip sinkage. It is important for improving the mobility of vehicle in sand to develop a new running gear of vehicles . Based on the mathematical models and mechanical models for interaction effect between wheel and sand. the influence on the interaction effect between running gear of vehicles and sand on traction performance are analyzed by using the theory of granular limit equilibrium. The results show that the interaction modes between wheel and sand is charged and the mobility of vehicle in sand is improrld.