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Rope Dynamics Presentation

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This presentation 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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Author Bio

Phil Andrew joined Express Lift Co. in Northampton, the U.K., in 1978. Over the next 18 years, he held a range of positions with Express Lift. In 1996, he joined the elevator engineering group at the University of Northampton (then Nene College) as a Senior Lecturer, teaching the Lift and Escalator Industry Association Professional Diploma in Engineering (Lift and Escalator Technology). He led the team that developed the inter- nationally recognized Northampton MSc in Lift Engineering, then the Foundation Degree in Lift Engineering. In 2003, he was promoted to Principal Lecturer and Divisional Leader for engineering. From 2000 until his retire- ment in 2004, Andrew served on the National Interest Review Committee for the ASME/ANSI A17 code committee and represented the university on Committee MHE/4 of the British Standards Institution responsible for lift safety standards within the U.K.

Dr. Stefan Kaczmarczyk is currently Professor of Applied Mechanics at the University of Northampton. He has been serving on the Institute of Physics Applied Mechanics Group Committee and initiated and developed a series of international conferences linking the U.K. and overseas- based academic and industrial research groups working in the area of mechanics of slender structures, with particular emphasis on applications in elevator engineering. Dr. Kaczmarczyk joined the elevator engineering group at the University of Northampton as a senior lecturer in 2002. In 2003, he became the course leader for MSc Lift Engineering, then postgraduate field leader for Lift Engineering. Dr. Kaczmarczyk has published over 70 journal and international conference papers in the area of vertical transportation and elevator engineering.

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