The paper deals with the question of modeling of the drill mandrel with the shock absorber connected to the mandrel using a viscoelastic clutch. A mathematical model of drill mandrel vibration, machine support and inertia (damper) in the form of a differential equation system has been developed.
The model is made in the form of a four-mass system of connected bodies. The solution of the system of differential equations was found using the finite difference method as well as the operator method using Laplace transform. As a result of the simulation, it was found that the use of a vibration damper can significantly reduce the amplitude of the natural vibration of the drill mandrel when pulsed, as well as significantly reduce the amplitude of the forced vibrations when subjected to periodic disturbing forces. The developed mathematical model and algorithms for numerical solution of differential equations allow us to select optimal parameters of the damping element of the well. The data obtained shall be used to create a prototype drill mandrel and to conduct field tests.
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TEXT/PHOTO: Сентяков Кирилл Борисович, к.т.н., заведующий кафедрой "Высшая
математика, физика, химия" Воткинского филиала ИжГТУ имени М.Т. Калашникова,
г. Воткинск. Táto e-mailová adresa je chránená pred spamovacími robotmi. Na jej zobrazenie potrebujete mať nainštalovaný JavaScript.
Смирнов Виталий Алексеевич, к.т.н., доцент кафедры "Технология
машиностроения и приборостроения" Воткинского филиала ИжГТУ имени М.Т.
Калашникова, г. Воткинск. Táto e-mailová adresa je chránená pred spamovacími robotmi. Na jej zobrazenie potrebujete mať nainštalovaný JavaScript.
Петросян Артур Степанович, инженер, Воткинский завод, г. Воткинск
