The response of the rod to that signal is monitored by two strain gauges, placed to measure the deflection in the x and y directions. With the help of a data acquisition system which samples the strain gauge signals, we are able to monitor how the position of the rod changes in time. By demodulating the signal, in effect we are studying the slow-flow equations of the system. Linear Frequency Response Diagram. Nonlinear Frequency Response Diagram.
Experiments are in progress to determine the structure of the phase space in the whirling region.
It is interesting to note that this structure seems to be qualitatively similar to the phase space for a spherical pendulum forced at its base and forced fixed-fixed string forced at one end. This similarity is because these systems all share the property of being symmetrical in a round coordinate with the forcing breaking that symmetry. This research has potential applications in the study of the dynamics of helicopter rotor blades, ship cranes and other structural dynamics problems. This site was designed and is maintained by David Chelidze . All rights reserved.