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The prediction of nonlinear responses and active stiffness control of moving slender continua subjected to dynamic loadings in a vertical host structure

Kaczmarczyk, S. and Picton, P. (2013) The prediction of nonlinear responses and active stiffness control of moving slender continua subjected to dynamic loadings in a vertical host structure. International Journal of Acoustics and Vibration. 18(1), pp. 39-44. 1027-5851.

Item Type: Article
Abstract: Slender continua such as long ropes, cables and belts are used as tension and payload-carrying members in various engineering applications. They are deployed in terrestrial mine/underground equipment and high-rise building installations through to tethered offshore tension members, tethered space satellite systems and rotating momentum exchange tethers in Earth’s orbit. The slender continua are inherently non-linear and this leads to large non-linear responses with passages through resonances taking place when the time-varying natural frequencies of the system approach the frequency of the inertial load resulting from the dynamic loadings. In this paper the lateral nonlinear dynamic behaviour of long slender continua moving at speed in a tall host structures is analyzed. The mathematical model comprising nonstationary nonlinear ordinary differential equations is used to describe the dynamic behavior of the system equipped with a multi-modal active stiffness controller. The active control is implemented by an axial motion of the support and results in substantial reduction of the response.
Subjects: T Technology > TJ Mechanical engineering and machinery > TJ1350 Hoisting and conveying machinery
Creators: Kaczmarczyk, Stefan and Picton, Philip
Publisher: International Institute of Acoustics and Vibration
Northamptonshire and East Midlands: Transport
Faculties, Divisions and Institutes: Faculties > Faculty of Arts, Science & Technology > Engineering
Date: 1 March 2013
Date Type: Publication
Page Range: pp. 39-44
Journal or Publication Title: International Journal of Acoustics and Vibration
Volume: 18
Number: 1
Language: English
ISSN: 1027-5851
Status: Published / Disseminated
Refereed: Yes
References: REFERENCES 1. R. M. Chi and H. T. Shu, “Longitudinal vibration of a hoist rope coupled with the vertical vibration of an elevator car”, Journal of Sound and Vibration 148, 154-159 (1991). 2. S. Kaczmarczyk, “The Passage Through Resonance in a Catenary-Vertical Cable Hoisting System with Slowly Varying Length”, Journal of Sound and Vibration 208, 243 – 269 (1997). 3. S.W.Ziegler and M.P.Cartmell, “Using Motorised Tethers for Payload Orbital Transfer”, AIAA Journal of Spacecraft and Rockets 38 (6), 904-913 (2001). 4. Y. Terumichi, S. Kaczmarczyk, S. Turner, M. Yoshizawa and W. Ostachowicz, “Modelling, Simulation and Analysis Techniques in the Prediction of Non-stationary Vibration Response of Hoist Ropes in Lift Systems”, Materials Science Forum 440-441, 497-504 (2003). 5. R. Salamaliki-Simpson, S. Kaczmarczyk, P. Picton and S. Turner, “Non-linear modal interactions in a suspension rope system with time-varying length”, Applied Mechanics and Materials 5-6, 217-224 (2006). 6. S. Chen, N. Darivandi and F. Ghrib “The design of an optimal viscous damper for a bridge stay cable using energy-based approach”, Journal of Sound and Vibration 296, 4689-4704 (2010). 7. Q. Zhou, S.R.K. Nielsen, and W.L. Qu “Semi-active control of three-dimensional vibrations of an inclined sag cable with magnetorheological dampers”, Journal of Sound and Vibration 329, 1-22 (2006). 8. C.F. Baicu, C.D. Rahn and B.D. Nibali “Active boundary control of elastic cables: theory and experiment”, Journal of Sound and Vibration 198, 17-26 (1996). 9. R.F. Fung, J.W. Wu and S.L. Wu “Exponential stabilization of an axially moving string by linear boundary feedback”, Automatica 35, 177-181 (1999). 10. J. C. Chen, “Response of Large Space Structures with Stiffness Control”, Journal of Spacecraft and Rockets 21, 463-467 (1984). 11. Y. Fujino, P. Warnitchai and B. M. Pacheco, “Active Stiffness Control of Cable Vibration”, Trans. ASME Journal of Applied Mechanics 60, 948-953 (1993). 12. L. Y. Wang and Y. L Xu, “Active Stiffness Control of Wind-Rain Induced Vibration of Prototype Stay Cable”, International Journal for Numerical Methods in Engineering, 74, 80-100 (2008). 13. Kaczmarczyk, S. and Ostachowicz, W. Transient Vibration Phenomena in Deep Mine Hoisting Cables. Part 1: Mathematical Model, Journal of Sound and Vibration, Vol. 262(2), 219 – 244, (2003). 14. Nayfeh A. H. and Pai, P.F. Linear and Nonlinear Structural Mechanics, John Wiley & Sons, Hoboken, New Jersey, (2004).

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