Rigid couplings are torsionally rigid couplings that do not have any rotary clearance even when subjected to loads, and even when there is a deviation that generates a load, the rigid coupling still transmits the torque rigidly.
Any deviation in the system can lead to premature damage to the shaft, bearings or coupling, which means that it cannot be used at high speeds because it cannot compensate for the relative displacement between the shafts due to the high temperatures generated by the high speed operation. Of course, if the relative displacement can be successfully controlled, rigid couplings can also perform very well in servo applications.