“…Researchers [5] studied the impact of rotation speed on the deflection of drill string and the magnitude of reaction in the zone of contact with the well wall. Paper [6] explored the loss of stability of drill string in vertical and horizontal wells and proposed a method for determining the permissible loads. Article [7] applied probabilistic approach when studying the behavior of drill string pipe under the action of operational loads with regard to the interaction with the rock of well wall.…”
Section: Literature Review and Problem Statementmentioning
confidence: 99%
“…That is, research [1,2,[4][5][6][7][8][9][10] is mostly devoted to studying the behavior of drill string, mantled from smooth pipes, under loading.…”
Section: Literature Review and Problem Statementmentioning
confidence: 99%
“…To receive C, let us substitute general solution (7) into boundary conditions (6). We shall obtain a system of linear algebraic equations…”
Section: 2 Reduction To the First Order Differential Systemmentioning
confidence: 99%
“…These parameters are met by non-trivial solutions of system (8), and, therefore, boundary problem (5), (6), which determine forms of the ADP stability loss.…”
Section: 2 Reduction To the First Order Differential Systemmentioning
confidence: 99%
“…It is known from [22] that the solution of boundary problem (9), (10) coincides at n→∞ evenly in the segment [0.1] to the solution of boundary problem (5), (6).…”
Section: 3 Building An Approximating Modelmentioning