The influence of the vertical cantledge mass on the vibratory drum vibrations during the material compaction

The road roller vibratory drum is considered as a three-mass vibration system consisting of the eccentric weight mass m1, vibratory drum mass m2, additional mass m3, which is transmitted to the vibratory drum axis through the roller frame. Differential equations of vertical vibrations were formulated, they were solved, analytical expressions were obtained of the amplitude A1 of the vibrator drum vertical vibrations and of the amplitude A2 of the additional mass m3 vibrations, rigidly connected with the road roller frame. The dependences of the vertical vibration amplitudes A1 and A2 on the vibration frequency, mass ratio (m1 + m2) and m3, stiffness factors and viscous friction factors of the soil and rubber-metal shock absorbers have been established. The additional mass m3 is considered as an additional shock absorber that protects the roller frame from vibration. The differential equation of the additional mass m3 vertical vibrations has been obtained, which are excited by the harmonic inertia force. The analytical dependence conclusion for the determination of the dynamic factor Kd as the ratio of the dynamic and static vibration amplitudes of the additional mass m3 of the vibratory drum have been specified. The specified dependence of the driving force transfer factor K determination on mass m3 to the roller frame has been obtained. The diagrams of the dependence of Kd and K factors on the frequency ratio of forced and natural vibrations of the mass m3 are constructed.