Precise Finite-Element Model for Pulleys Based on the Hamiltonian Form of Elasticity
Publication: Journal of Engineering Mechanics
Volume 140, Issue 8
Abstract
Conveyor pulleys are typical axisymmetric structures subjected to nonaxisymmetric loading. Taking full advantage of the characteristics of the pulley structure, this paper presents a precise finite-element formulation for pulley stress analysis based on the Hamiltonian form of elasticity. In the model, the solution is expanded into a set of Fourier series; a paired set of state variables are selected from the Fourier coefficients; and the governing equations are reorganized in Hamiltonian form with the use of the paired state variables. The general solutions to the Hamiltonian system can be obtained numerically and formulated into a finite-element model, from which the final stress solution for a pulley can be found. Numerical examples show that this method is much more efficient than the conventional FEM with comparable accuracy.
Get full access to this article
View all available purchase options and get full access to this article.
References
ANSYS 10 [Computer software]. Canonsburg, PA, ANSYS.
Lange, H. (1963). “Investigations on stress in belt conveyor pulleys.” Ph.D. thesis, Technical Univ. Hannover, Hannover, Germany.
Martins, J. A., and Kövesdy, I. (2012). “Overview in the application of FEM in mining and the study of case: Stress analysis in pulleys of stacker-reclaimers: FEM vs. analytical.” Chapter 13, Finite element analysis: Applications in mechanical engineering, F. Ebrahimi, ed., InTech, Rijeka, Croatia, 277–296.
Patel, R. R., Joshi, S. P., and Agrawal, P. M. (2011). “Studies on some aspects of conveyor drive pulley design.” National Conf. on Recent Trends in Engineering & Technology, BVM Engineering College, Anand, Gujarat, India.
Pathan, N. W., Bhope, D. V., and Khamankar, S. D. (2011). “Investigation of stresses in flat belt pulley by FEM and photoelasticity.” Int. J. Eng. Sci. Technol., 3(10), 7444–7451.
Qiu, X. (2006). “Full two-dimensional model for rolling resistance: Hard cylinder on viscoelastic foundation of finite thickness.” J. Eng. Mech., 1241–1251.
Qiu, X. (2009). “Full two-dimensional model for rolling resistance. II: Viscoelastic cylinders on rigid ground.” J. Eng. Mech., 20–30.
Qiu, X., and Sethi, V. (1993). “A new pulley stress analysis method based on modified transfer matrix method.” J. Bulk Solids Handling, 13(4), 713–724.
Ravikumar, M., and Chattopadhyay, A. (1999). “Integral analysis of conveyor pulley using finite element method.” Comp. Struct., 71(3), 303–332.
Sethi, V., and Nordell, L. K. (1993). “Modern pulley design techniques and failure analysis methods.” Proc., SME Annual Meeting & Exhibition, Society for Mining, Metallurgy, and Exploration, Englewood, CO.
Timoshenko, S., and Woinowsky-Krieger, S. (1959). Theory of plates and shells, 2nd Ed., McGraw Hill, New York.
Ventsel, E., and Krauthammer, T. (2001). Thin plates and shells theory, analysis, and applications, Marcel Dekker, New York.
Vinogradov, A. M., and Kupershmidt, B. A. (1981). “The structures of Hamiltonian mechanics.” Integrable systems, Cambridge University Press, London, 173–240.
Zhong, W. (1995). A new systematic methodology for theory of elasticity, Dalian University of Technology Press, Dalian, China.
Zhong, W., Zhu, J., and Zhong, X. (1996). “On a new time integration method for solving time dependent partial differential equations.” Comput. Methods Appl. Mech. Eng., 130(1–2), 163–178.
Information & Authors
Information
Published In
Journal of Engineering Mechanics
Volume 140 • Issue 8 • August 2014
Copyright
© 2014 American Society of Civil Engineers.
History
Received: Feb 14, 2013
Accepted: Oct 30, 2013
Published online: Nov 4, 2013
Discussion open until: Jul 11, 2014
Published in print: Aug 1, 2014
Authors
Metrics & Citations
Metrics
Citations
Download citation
If you have the appropriate software installed, you can download article citation data to the citation manager of your choice. Simply select your manager software from the list below and click Download.