This presentation on CD by Phil Andrew and Dr. Stefan Kaczmarczyk, discusses the purpose of analyzing the dynamic behavior of the roping system and how Hamilton's Principle and classical mechanics may be employed to derive the dynamic equations which describe the oscillatory motions of the ropes. The resulting partial differential equations are presented in order to explain how lateral and longitudinal oscillations in the suspension system are, in point of fact, cross coupled, so that a lateral oscillation of the ropes can initiate longitudinal vibrations, and vice versa.Finally, by means of an example, the presentation shows how transient vibrations may arise at particular locations in the elevator travel, highlights why such rope oscillation and vibration is so difficult to eliminate, and notes some of the solutions to the problem which have been proposed in the past.
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