A projection exposure apparatus for semiconductor lithography includes at least one component which is provided with a damping arrangement for dissipating mechanical vibration energy. The damping arrangement includes a ferromagnetic element, through which a magnetic field passes at least partly. The magnetic flux density is inhomogeneous at least regionally. The ferromagnetic element is mounted in such a way that it is movable with a movement component in the direction of the inhomogeneity of the magnetic field.