This paper presents some results of a theoretical study of random impact vibrations of the engine-mounting system of heavy-duty trucks. The dynamic model of a vehicle is reduced to five degree-of-freedom system equipped with stoppers to limit the engine-body movement when traveling on rough roads. The impact force is reduced to the linear restoring and damping forces using by statistically equivalent coefficients of stiffness and damping. The responses of the system to road surface undulations are determined from the moment equation. These theoretical results are confirmed by the digital simulation.
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