Transient Torsional Vibrations in Multiple-Inertia Systems

Torque amplification in a steel mill or impact phenomena in a general elastic system can be analyzed by a similarity transformation of the linear equations of motion using their eigen-vector or modal matrix. Response to initial displacement or velocity and to step function forces are developed in a way that forms the principle of a fast accurate computer program. Torque amplification is the result of ill conditioning of the modal matrix and the disturbance but is mostly related to the modal matrix and is, therefore, mostly a function of the rotor system. Steel mills and other multiple inertia systems such as motor generator sets should be analyzed by this method at an early stage of their design.