THEORETICAL SUBSTANTIATION OF THE MASS CENTER MOTION OF A TILLAGE MACHINE WITH A VIBRATION GENERATOR

S. A. Solovyev¹, M. M. Konstantinov², N. K. Komarova², S. N. Drozdov², I. V. Trofimov², H. E. Yegorov^2
1Russian Academy of Sciences, Leninskii prosp., 14, Moskva, 119991, Russian Federation
²Orenburg State Agrarian University, ul. Chelyuskintsev, 18, Orenburg, 460014, Russian Federation

Abstract. The aim of the research was to find out theoretically the influence of external environmental factors on the amplitude of forced oscillations of a vibratory tillage machine during its movement. To achieve this goal, the theorem on the mass center motion and the results of experimental studies were used. It was examined a model of a soil-cultivating tool on an example of cultivator KPS-4 with an installed pendular vibration generator. The solution to the problem of reducing the energy intensity of the soil cultivation process is based on the use of vibratory methods of influencing the soil layer, taking into account the fact that unbalanced forces that affect not only the soil but also the tiller machine can cause the resonance mode of the tool during operation. To substantiate this thesis, the theoretical dependences of determining the oscillation amplitude of the tillage machine center of gravity are proposed, taking into account the directed forced oscillations. The formulas obtained describe the motion of the mass center of the vibrating tiller without resonance, taking into account the progressive motion of the machine-tractor unit. On the basis of theoretical calculations according to the dynamic model of cultivator KPS-4, the frequencies of the self-oscillations along the axes direction k(x) = 84.6 rad/s, k(y) = 101.1 rad/s, and the damping ratios n(x) = 53.03 (N•s)/(m•kg), n(y) =52.92 (N•s)/(m•kg) were determined. The relative damping at omega = k for the proposed tillage machine is lambda(x) = 0.62, lambda(y) = 0.52. In this case, the coefficients of an increase in the oscillations are beta(x) = 0.8, beta(y) = 0.96, which indicates the absence of the resonance regime, due to the energy dissipation, to a great extent, into the soil. In this case, the values of oscillation amplitudes of the center of gravity of the tillage machine along the axes are x = 1.37 x 10E‾3 m, y = 0.959 x 10E-3 m. The coefficient of oscillation growth depends not only on the ratio of the vibrator frequency to the frequency of self-oscillation of the machine but also on the damping coefficient.

Keywords: draught resistance; soil layer; resonance mode; directed forced oscillations; motion of the center of mass.

Author Details: S. A. Solovyev, D. Sc. (Tech.), corresponding member of the RAS, deputy chief academic secretary of Presidium of the RAS(e-mail: Этот адрес электронной почты защищён от спам-ботов. У вас должен быть включен JavaScript для просмотра.); M. M. Konstantinov, D. Sc. (Tech.), prof., (e-mail: Этот адрес электронной почты защищён от спам-ботов. У вас должен быть включен JavaScript для просмотра.); N. K. Komarova, D. Sc. (Agr.), prof.; S. N. Drozdov, Cand. Sc. (Tech.), assoc. prof.; I. V. Trofimov, post graduate student; H. E. Yegorov, master’s student.

For citation: Solovyev S. A., Konstantinov M. M., Komarova N. K., Drozdov S. N., Trofimov I. V., Yegorov H. E. Theoretical Substantiation of the Mass Center Motion of a Tillage Machine with a Vibration Generator. Dostizheniya nauki i tekhniki APK. 2018. Vol. 32. No. 7. Pp. 70–75 (in Russ.). DOI: 10.24411/0235-2451-2018-10717.