Drilling apparatus for releasing rods stuck in surrounding ground comprising: - a motor device configured to generate torque; - a drilling assembly connected to the motor device , comprising a plurality of drilling rods configuring a longitudinal axis (A) of the drilling assembly ; - a drilling bit connected to the plurality of drilling rods ; - a torsional coupling device of the drilling assembly , positioned between the drilling rods at a predetermined position with respect to the bit so as to divide the drilling assembly into an upper and a lower part, configured to selectively disrupt the torque transmission between the upper and lower part of the drilling assembly ; characterized in that the drilling apparatus comprises: - a device for generating forced vibrations due to centrifugal force orthogonal to the longitudinal axis (A) and rotating around the longitudinal axis (A), the centrifugal-force vibration generator device comprising a first body integral with the upper part and a second body integral with the lower part of the drilling assembly , said first and second bodies configuring a dynamically balanced system when the entire drilling assembly rotates; the drilling apparatus being further characterized in that the drilling assembly may pass from a first configuration in which the torsional coupling device transmits torque motion allowing the rotation of the entire drilling assembly and the centrifugal-force vibration generator device does not produce effects being balanced in rotation with respect to the longitudinal axis (A) to a second configuration in which the torsional coupling device does not transmit torque motion allowing the rotation of the upper part of the drilling assembly with respect to the lower part of the drilling assembly and the centrifugal-force vibration generator device is unbalanced during the rotation of the upper part generating a rotating centrifugal-force vibration orthogonal to the longitudinal axis (A), adapted to establish a rotating bending stress regime in the lower part of the drilling assembly in order to release the drilling rods of the lower part of the drilling assembly stuck inside a drilling well . - a motor device configured to generate torque; - a drilling assembly connected to the motor device , comprising a plurality of drilling rods configuring a longitudinal axis (A) of the drilling assembly ; - a drilling bit connected to the plurality of drilling rods ; - a torsional coupling device of the drilling assembly , positioned between the drilling rods at a predetermined position with respect to the bit so as to divide the drilling assembly into an upper and a lower part, configured to selectively disrupt the torque transmission between the upper and lower part of the drilling assembly ; - a device for generating forced vibrations due to centrifugal force orthogonal to the longitudinal axis (A) and rotating around the longitudinal axis (A), the centrifugal-force vibration generator device comprising a first body integral with the upper part and a second body integral with the lower part of the drilling assembly , said first and second bodies configuring a dynamically balanced system when the entire drilling assembly rotates; <EOS>