Tautochronic centrifugal pendulum vibration absorbers

Established analytic predictions that show a satisfactory agreement with numerical as well as experimental investigations for bifilar absorbers are not applicable for the comparison of different tautochronic absorbers. Therefore, the second part of this work shows how to analyze this class of centrifugal vibration absorbers using a Hamiltonian formulation. Successive canonical transformations lead to nonlinear equations in action-angle variables, which are then approximated to first order and analyzed by using the method of averaging. These results provide a basis for the design and analysis of tautochronic bifilar and non-bifilar vibration absorbers.