Method for compensating deflection of a tool during machining of a workpiece, and machine tool therefor

A method for compensating deflection of a tool (2) during machining of a workpiece (4) using a machine tool (1), the method comprising:

• balancing, via a control unit (10) of the machine tool (1), the compensation of the deflection differently in straight portions (41) and in curved portions (42, 43) depending on a dimension E of engagement conditions in a contact point (6) between the tool (2) and the workpiece (4), on a basis of one or more of:
• a) a ratio of a tool radius R1 and a radius of curvature R2 of the workpiece (4) according to a formula
• E
• =
• ⁢
• R
• ⁢
• 1
• /
• R
• ⁢
• 2
• and
• b) a ratio of a current engagement length L of the tool (2) in a circumferential direction on the workpiece (4) and an engagement length LG of the tool (2) in the circumferential direction on the workpiece (4) during machining of a straight portion (41) of the workpiece (4) according to a formula E=L/LG.