The spectral distribution of isovector dipole strength is computed using the time-dependent Skyrme-HartreeFock method with subsequent spectral analysis. The calculations are done without any imposed symmetry restriction, allowing any nuclear shape to be dealt with. The scheme is used to study the deformation dependence of giant resonances and its interplay with Landau fragmentation (owing to 1ph states). Results are shown for the chain of Nd isotopes, superdeformed 152 Dy, triaxial 188 Os, and 238 U.