Modeling and analysis of finite-amplitude waves in soft soils for agricultural purposes in their interaction with working bodies of tillage machines vibration-wave impact

Authors

  • D. G. Voytyuk National University of Life and Environmental Sciences of Ukraine image/svg+xml
  • Yu. O. Gumeniuk National University of Life and Environmental Sciences of Ukraine image/svg+xml
  • Yu. V. Chovnyuk National University of Life and Environmental Sciences of Ukraine image/svg+xml

Abstract

Abstract. The equation for the propagation of the long-wave signals of finitely valued amplitude in the soft agricultural soils during their interaction with working organs of the soil’s treated machines of vibrate-wave ac-tion is obtained. The coefficient of the nonlinearity of the saturation of the pore’s media is calculated. The compara-tive contribution of the nonlinear effects and of the dissi-pative, as well, which are attributed to relative motion of media’s components, is researched. The behavior of the relatively little amplitude of perturbation, which propa-gates as a shock-wave, is discussed at this work. Accord-ing to this approach, the coefficient of nonlinearity for the saturated pore media is calculated. The stationary and no stationary regimes of the perturbation propagation are described just for the situation when the nonlinearity is 

balanced by the relaxation viscosity and appears with the help of the impulse change between the phases. For the wide range of the soil’s characteristic parameters, the ac-count of the nonlinear components in the waves of the no large amplitude is principal. The approach of this work gives one the possibility for the consistent indication of the boundaries for the linear approximation and the rela-tive role of nonlinear and dissipative and dispersion com-ponents at the wave equation.
Key words: modeling, analysis, wave over the am-plitude of the soft soil, agriculture, communication, work-ing bodies tillage machines, vibration and wave action.

References

Николаевский В. Н., Басниев К. С., Горбунов А. Т., Зотов Г. А. Механика насыщенных пористых сред. Москва. Недра. 1970. 335с.

Николаевский В. Н. О процессах неустановив-шейся деформации водонасыщенных грунтов. Arch. Mech. Stosow. 1965. V. 17. No 3. P. 441–452.

Борисов С. Н. О структуре фронта ударной волны в водонасыщенном грунте. ?звестия АН СССР. Механика жидкости и газа. 1967. №3. С. 55–63.

Садовский М. А., Николаев А. В. Новые методы сейсмической разведки. Перспективы развития. Вест-ник АН СССР. 1982. №1. С. 57–64.

Гущин В. В., Шалашов Г. М. О возможности использования нелинейных сейсмических эффектов в задачах вибрационного просвечивания Земли. В кни-ге: ?сследование Земли невзрывными сейсмическими источниками. Москва. Наука. 1981. С. 144–155.

Руденко О. В., Солуян С. С. Теоретические осно-вы нелинейной акустики. Москва. Наука. 1975. 288 с.

References

Nikolaev, V. N., Basniev, K. S., Gorbunov, A. T., Zotov, G. A. (1970). Mechanics of saturated porous media. Moscow. Bowels. 335.

Nikolaev, V. N. (1965). In the unsteady processes of deformation of saturated soils. Arch. Mech. Stosow. V. 17. No 3. 441-452.

Borisov, S. N. (1967). In the structure of shock wave front in water-saturated soil. News of Academy of Sciences of the USSR. Mechanics of liquid and gas. No 3. 55-63.

Sadovsky, M. A., Nikolayev, A. V. (1982). New methods of seismic exploration. Prospects. Bulletin of the USSR Academy of Sciences. No 1. 57-64.

Gushchin, V. V., Shalashov, G. M. (1981). About the possibility of using nonlinear seismic effects in problems of vibration transmission of the Ground. In the book: the study of the Earth's non-explosive seismic sources. Moscow. Science. 144-155.

Rudenko, A. V., Soluyan, S. S. (1975). Theoretical fundamentals of nonlinear acoustics. Moscow. Science. 288.

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2019-01-24

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