Today, the dynamics, especially acceleration and jerk, of machine tools are limited in order to reduce excitations of machine structure vibrations to an acceptable level. A novel approach - the Kinematically Coupled Force Compensation (KCFC) - combines the principles of redundant axes and force compensation to further increase machines' dynamics. In this paper, the new principle is introduced and possible control concepts are compared based on an analysis in frequency and time domain. Simulations, using a simple multi-body simulation model implemented in MATLAB/Simulink^®, show, that machine structure vibrations can be reduced significantly by KCFC.