The article presents the design of shock-and-vibration machine for the formation of lightweight concrete products. The results of theoretical studies of the working process of the shock-and-vibration machine with the definition of motion and stress laws in a layer of a concrete mixture compacted in the kinematic excitation of oscillations are given. In paper the dependences for determining the reduced mass and the equivalent coefficient of inelastic resistance of a concrete mixture with asymmetric kinematic excitation of oscillations during the vibration seal are given. The practical application of the obtained results is offered.Keywords: shock-and-vibration machine, light concrete mix, compaction of the concrete mixture, stress in the layer of concrete mix.