Based on finite element theory, using ANSYS software to establish a rotating slender beam finite element theoretical model. The rotational speed of 100rpm, drilling pressure 200N under the conditions of the study, tube axial pressure, the slenderness ratio of the factors, as well as drilling pressure for 200N under the conditions of the internal tube of the inner cylinder speed transverse displacement changes. The results showed that: With the growth of the slenderness ratio, the farther the node from the intermediate node, the start time, the more lag; weight impact, the next node horizontal displacement changes with the axial force, displacement followed by larger; the inner cylinder with speed increases, the lateral displacement of the inner cylinder is gradually larger.