MATHEMATICS. MATHEMATIC MODELING

Mathematical model for dynamics of lifting and lowering the drill column

A. D. Ferzauli

Establishment of the Russian Academy of Sciences Scientific Research Institute of Applied Mathematics and Automation of KBSC of the Russian Academy of Sciences, 360000, Nalchik, 89-a, Shortanov street

Abstract: In the paper a qualitative analysis of mathematical model for dynamics of lifting and lowering the drill column, which at a certain idealization is reduced to solving a mixed problem for the equation of string vibration, when one of the boundary conditions is a consequence of the d'Alembert principle, and the second boundary condition is replaced by the final condition, is conducted.

Keywords: mathematical model, lifting and lowering the drill column, boundary problem, string vibration, Goursat problem, Darboux problem.

UDC: 517.91

Received: 20.12.2010

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