Nonlinear dynamics of three-dimensional belt drives using the finite-element method

Nonlinear Dynamics

Volumn 48, Issue 4, 2007, Pages 449-466

  Dufva, Kari ^a   Kerkkänen, Kimmo ^a   Maqueda, Luis G ^b   Shabana, Ahmed A ^b  

^a LAPPEENRANTA UNIVERSITY OF TECHNOLOGY   (Finland)

^b 1120 Science and Engineering Offices   (United States)

Author keywords

Absolute nodal coordinate formulation; Belt drives; Frictional contact; Large displacements; Lower order cable elements; Thin plate elements

Indexed keywords

COMPUTER SIMULATION; CONVERGENCE OF NUMERICAL METHODS; DYNAMICS; ELASTICITY; FINITE ELEMENT METHOD; MATHEMATICAL MODELS;

ABSOLUTE NODAL COORDINATE FORMULATION; FRICTIONAL CONTACT; LARGE DISPLACEMENTS; LOWER ORDER CABLE ELEMENTS; THIN-PLATE ELEMENTS;

BELT DRIVES;

EID: 33947173327     PISSN: 0924090X     EISSN: None     Source Type: Journal    
DOI: 10.1007/s11071-006-9098-9     Document Type: Article

References (24)

1. Fawcett, J.N.: Chain and bell drives - a review. Shock Vib. Dig. 13, 5-12 (1981)
2. Johnson, K.L.: Contacts Mechanics. Cambridge University Press, New York (1985)
3. Bechtel, S.E., Vohra, S., Jacob, K.I., Carlson, C.D.: The stretching and supping of belts and fibers on pulleys. J. Appl. Mech. 67, 197-206 (2000)
4. Leamy, M.J., Wasfy, T.M.: Transient and steady-state dynamic finite element modeling of belt-drives. J. Dyn. Syst. Meas. Control 124, 575-581 (2002)
5. Leamy, M.J., Barber, J.R., Perkins, N.C.: Distortion of a harmonic elastic wave reflected from a dry friction support. J. Appl. Mech. 65, 851-857 (1998)
6. Leamy, M.J., Barber, J.R., Perkins, N.C.: Dynamics of belt/pulley frictional contact. In: Proceedings of IUTAM Symposium on Unilateral Multibody Contacts, pp. 277-286. Kluwer, Munich (1998)
7. Leamy, M.J.: The influence of dry friction in the dynamic response of accessory belt drive systems. Doctoral Dissertation. University of Michigan (1998)
8. Leamy, M.J., Wasfy, T.M.: Analysis of belt-drive mechanics using a creep-rate-dependent friction law. J. Appl. Mech. 69, 763-771 (2002)
9. Wasfy, T.M.: A torsional spring-like beam element for the dynamic analysis of flexible multibody systems. Int. J. Numer. Methods Eng. 39, 1079-1096 (1996)
10. Wasfy, T.M. Leamy, M.J.: Effect of bending stiffness on the dynamic and stead-state responses of belt-drives. In: Proceedings of the ASME 2000 Design Engineering Technical Conferences. Montreal, Canada. (2002)
11. Shabana, A.A.: Dynamics of Multibody Systems, 3rd edn. Wiley, New York (2005)
12. Shabana, A.A.: Computer implementation of the absolute nodal coordinate formulation for flexible multibody dynamics. Nonlinear Dyn. 16, 293-306 (1998)
13. Omar, M.A., Shabana, A.A.: A two-dimensional shear deformation beam for large rotation and deformation. J. Sound Vib. 243, 565-576 (2001)
14. Kerkkänen, K.S., García-Vallejo, D., Mikkola, A.M.: Modeling of belt-drives using a large deformation finite element formulation. Nonlinear Dyn. (in press)
15. Dufva, K., Sopanen, J., Mikkola, A.: A two-dimensional shear deformable beam element based on the absolute nodal coordinate formulation. J. Sound Vib. 280, 719-738 (2005)
16. Gerstmayr, J., Shabana, A.A.: Analysis of thin beams and cables using the absolute nodal coordinate formulation. Technical report MBS05-3-UIC (2005)
17. Carlson, C.D.: Ph.D. dissertation. "Part I: Asymptotic Analysis of Capillary Instability of Free Jets: Part II: The Behavior of Flexible Belts Under Tension", The Ohio State University, Columbus, OH (1996)
18. Dufva, K., Shabana, A.A.: Use of the absolute nodal coordinate formulation in the analysis of thin plate structures. Technical report MBS05-1-UIC (2005)
19. Mikkola, A.M., Shabana, A.A.: A non-incremental finite element procedure for the analysis of large deformation of plates and shells in mechanical system applications. Multi-body Syst. Dyn. 9(3), 283-309 (2003)
20. Chia, C.Y: Nonlinear Analysis of Plates. McGraw-Hill, New York (1980)
21. Dmitrochenko, O.N., Pogorelov, D.Y.: Generalization of plate finite elements for absolute nodal coordinate formulation. Multibody Syst. Dyn. 10, 17-43 (2003)
22. Von Dombrowski, S.: Analysis of large flexible body deformation in multibody systems using absolute coordinates. Multibody Syst. Dyn. 8, 409-432 (2002)
23. Gerstmayr, J., Shabana, A.A.: Analysis of thin beams and cables using the absolute nodal coordinate formulation. Nonlinear Dyn. 45, 109-130 (2006)
24. Spencer, A.J.M.: Continuum Mechanics. Longman, London (1980)