Finite-difference scheme to calculate road matting deflection under forest forwader

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Abstract

A mathematical model of the interaction of a wheeled drive vehicle with a two-layer support surface consisting of a synthetic road matting and an underlying forest soil is considered. A model of a deformable plate placed on a pliable (Winkler) base is proposed. A finite-difference scheme is proposed, assuming an arbitrary load distribution over the grid nodes, to solve the differential equation of plate deflection (and base precipitation), as well as several options for fixing boundary nodes. A Python program has been developed to implement the proposed model. A computational experiment was conducted using this program. The deviation of the calculated data from the particular case of the exact solution did not exceed 5%. The processing of the calculated data made it possible to obtain an equation convenient for estimating the depth of the track formed by a vehicle.

About the authors

Maksim V. Zorin

Voronezh State Forestry Engineering University named after G.F. Morozov

Email: mr.maks489@ya.ru

Pg.

Russian Federation, 8, Timiryazev St., 394087, Voronezh

Egor G. Khitrov

Peter the Great St. Petersburg Polytechnic University

Email: yegorkhitrov@gmail.com

Dr. Sci. (Tech.), Associate Professor

Russian Federation, 29, Politechnicheskaya St., 195251, St. Petersburg

Olga A. Kunitskaya

Arctic State Agrotechnological University

Author for correspondence.
Email: ola.ola07@mail.ru

Dr. Sci. (Tech.), Professor

Russian Federation, 3, Sergelyakhskoye Highway, 3 km, 677007, Yakutsk, Republic of Sakha (Yakutia)

Pavel S. Eliseev

BMSTU (Mytishchi Branch)

Email: peliseev@bmstu.ru

Assistant

Russian Federation, 1, 1st Institutskaya St., 141005, Mytishchi, Moscow Region

Aleksandr M. Yudilevich

Bratsk State University

Email: kafedra388@mail.ru

Pg.

Russian Federation, 40, Makarenko St., 665709, Bratsk, Irkutsk Region

Vladislav E. Klubnichkin

BMSTU (Mytishchi Branch)

Email: vklubnichkin@mgul.ac.ru

Cand. Sci. (Tech.), Associate Professor

Russian Federation, 1, 1st Institutskaya St., 141005, Mytishchi, Moscow Region

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