The drilling device is composed of an articulated drill (1) provided with a metal tube (10) including, along its longitudinal axis XX′, and at one of its ends, fixing elements (11) that cooperate with a device (2) for driving it in an oscillatory movement, while the other end includes a profile (12) with a succession of alternately concave and convex loops (13) ensuring the deformation of the profile along a radius of curvature r, and at least one series of teeth (15, 16) with cutting edges (17, 18).