Machine tool and method

A machine tool comprising:

• a workpiece spindle (4) for accommodating a workpiece (6),
• a tool spindle (8) for accommodating a tool (10),
• at least one movable machine axis (A, B, C, X, Y, Z), wherein the machine axis (A, B, C, X, Y, Z) is configured to execute a machine kinematic to machine the workpiece (6) using the tool (10),
• a structure (16, 21) to be damped, and
• a device for vibration damping (1, 3, 5, 7, 9, 11, 13, 15, 17, 19), which is connected to the structure (16, 21) to be damped for vibration damping of the structure (16, 16′) to be damped, wherein the device for vibration damping (1, 3, 5, 7, 9, 11, 13, 15, 17, 19) has a spring system (20) and a mass system (22),
• wherein the spring system (20) has at least one spring element (26), and
• wherein the mass system (22) has at least one mass element (28, 36, 38),
• wherein
• the structure (16, 21) to be damped has a first eigenmode in a first direction (y),
• the structure to be damped has a second eigenmode in a second direction (z) different from the first direction (y),
• the spring system (20) has a first rigidity in a first direction of action (W1), the spring system (20) has a second rigidity in a second direction of action (W2), and the first rigidity is greater or less than the second rigidity.