Hostname: page-component-586b7cd67f-t7fkt Total loading time: 0 Render date: 2024-11-30T21:22:18.406Z Has data issue: false hasContentIssue false

Mathematical Model of Cable Winding/Unwinding System

Published online by Cambridge University Press:  18 August 2017

Lj. B. Kevac*
Affiliation:
School of Electrical EngineeringUniversity of BelgradeBelgrade, Serbia Innovation center of School of Electrical EngineeringUniversity of BelgradeBelgrade, Serbia
M. M. Filipovic
Affiliation:
Innovation center of School of Electrical EngineeringUniversity of BelgradeBelgrade, Serbia
*
*Corresponding author ([email protected], [email protected])
Get access

Abstract

The general form of mathematical model of cable winding/unwinding system is defined for several different constructions. The novelty of this mathematical model is detection and mathematical formulation of influence of new dynamic variables: winding/unwinding radius and cable length on dynamic response of cable winding/unwinding system. The validity of the obtained theoretical contribution has been illustrated through one case study by using a newly developed software package CWUSOFT which was generated in MATLAB. Theoretical and simulation results are confirmed through the experimental analysis of one novel construction of the cable winding/unwinding system.

Type
Research Article
Copyright
Copyright © The Society of Theoretical and Applied Mechanics 2019 

Access options

Get access to the full version of this content by using one of the access options below. (Log in options will check for institutional or personal access. Content may require purchase if you do not have access.)

References

1. Cable Logging Systems, Food and Agriculture Organization of the United Nations, Roma, Italy (1981).Google Scholar
2. Samset, I., Winch and Cable Systems (Forestry Sciences), Springer-Verlag GmbH, Berlin (1985).Google Scholar
3. Abdel-Rahman, E. M., Nayfeh, A. H. and Masoud, Z. N., “Dynamics and Control of Cranes: A Review,” Journal of Vibration and Control, 9, pp. 863908, (2003).Google Scholar
4. Padfield, D. G., “The Motion and Tension of an Unwinding Thread,” Proceedings of the Royal Society, Londond, UK (1956).Google Scholar
5. Fraser, W. B., Ghosh, T. K. and Batra, S. K., “On Unwinding Yarn from a Cylindrical Package,” Proceedings of the Royal Society, Londond, UK (1992).Google Scholar
6. Clark, J. D., Fraser, W. B. and Stump, D. M., “Modelling of Tension in Yarn Package Unwinding,” Journal of Engineering Mathematics, 40, pp. 5975 (2001).Google Scholar
7. Imanishi, E., Nanjo, T. and Kobayashi, T., “Dynamic Simulation of Wire Cable with Contact,” Journal of Mechanical Science and Technology, 23, pp. 10831088 (2009).Google Scholar
8. Szczotka, M., Wojciech, S. and Maczynski, A., “Mathematical Model of a Pipelay Spread,” The Archive of Mechanical Engineerin, 54, pp. 2746 (2007).Google Scholar
9. Lee, J.-W., Kim, K.-W., Kim, H.-R. and Yoo, W.-S., “Prediction of Un-Winding Behaviors and Problems of Cables from Inner-Winding Spool Dispensers,” Nonlinear Dynamics, 67, pp. 17911809 (2012).Google Scholar
10. Filipovic, M., Djuric, A. and Kevac, Lj., “The Significance of Adopted Lagrange Principle of Virtual Work Used for Modeling Aerial Robots,” Applied Mathematical Modelling, 39, pp. 18041822 (2015).Google Scholar
11. Zietzwitz, J. V., Fehlberg, L., Bruckmann, T. and Vallery, H., “Use of Passively Guided Deflection units and Energy-Storing Elements to Increase the Application Range of Wire Robots,” Proceedings of First International Conference on Cable-Driven Parallel Robots, Stuttgart, Germany (2012).Google Scholar
12. Kevac, Lj., Filipovic, M. and Rakic, A., “Dynamics of the Process of the Cable Winding (Unwinding) on the Winch,” Applied Mathematical Modelling, 48, pp. 821843 (2017).Google Scholar
13. Ruiz-Rojas, E. D., Vazquez-Gonzalez, J. L., Alejos-Palomares, R., Escudero-Uribe, A. Z. and Mendoza-Vázquez, J. R., “Mathematical Model of a Linear Electric Actuator with Prosthesis Applications”, Proceedings of 18th International Conference on Electronics, Communications and Computers, 2008. CONIELECOMP 2008, Cholula, Puebla, Mexico (2008).Google Scholar