A fractional derivative railpad model included in a railway track model

Journal of Sound and Vibration

Volumn 212, Issue 5, 1998, Pages 889-903

  Fenander, A ^a  

^a CHALMERS UNIVERSITY OF TECHNOLOGY   (Sweden)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0041782319     PISSN: 0022460X     EISSN: None     Source Type: Journal    
DOI: 10.1006/jsvi.1997.1483     Document Type: Article

References (22)

1. K. KNOTHE and S. L. GRASSIE 1993 Vehicle System Dynamics 22, 209-262. Modelling of railway track and vehicle/track interaction at high frequencies.
2. S. L. GRASSIE 1996 Vehicle System Dynamics Supplement 25, 243-262. Models of railway track and vehicle/track interaction at high frequencies: results of benchmark test.
3. R. A. CLARK, P. A. DEAN, J. A. ELKINS and S. G. NEWTON 1982 Proceedings of the Institution of Mechanical Engineers, Part C: Journal of Mechanical Engineering Science 24, 65-76. An investigation into the dynamic effects of railway vehicles running on corrugated rails.
4. Z. CAI and G. P. RAYMOND 1994 Structural Engineering and Mechanics 2, 95-112. Modelling the dynamic response of railway track to wheel/rail impact loading.
5. J. C. O. NIELSEN and T. J. S. ABRAHAMSSON 1992 International Journal for Numerical Methods in Engineering 33, 1843-1859. Coupling of physical and modal components for analysis of moving non-linear dynamic systems on general beam structures.
6. S. L. GRASSIE, R. W. GREGORY, D. HARRISON and K. L. JOHNSON 1982 Journal of Mechanical Engineering Science 24, 77-90. The dynamic response of railway track to high frequency vertical excitation.
7. S. L. GRASSIE and S. J. Cox 1984 Proceedings of the Institution of Mechanical Engineers, Part D: Transport Engineering 198, 117-124. The dynamic response of railway track with flexible sleepers to high frequency vertical excitation.
8. M. DALENBRING 1995 Report KTH/FKT/FR-95/06-SE, Department of Technical Acoustics, Royal Institute of Technology, Stockholm, Sweden. A study of the effect of track parameter changes on vertical rail vibrations.
9. M. FERMÉR and J. C. O. NIELSEN 1995 Proceedings of the Institution of Mechanical Engineers, Part F: Journal of Rail and Rapid Transit 209, 39-47. Vertical interaction between train and track with soft and stiff railpads - full-scale experiments and theory.
10. Å. FENANDER 1997 Proceedings of the Institution of Mechanical Engineers, Part F: Journal of Rail and Rapid Transit 211, 51-62. Frequency dependent stiffness and damping of railpads.
11. S. H. CRANDALL 1970 Journal of Sound and Vibration 11, 3-18. The role of damping in vibration theory.
12. R. L. BAGLEY and P. J. TORVIK 1983 AIAA Journal 21, 741-748. Fractional calculus - a different approach to the analysis of viscoelastically damped structures.
13. K. B. OLDHAM and J. SPANIER 1974 The Fractional Calculus. New York and London: Academic Press.
14. R. L. BAGLEY and R. A. CALICO 1991 Journal of Guidance, Control & Dynamics 14, 304-311. Fractional order state equations for the control of viscoelastically damped structures.
15. R. L. BAGLEY and P. J. TORVIK 1986 Journal of Rheology 30, 133-155. On the fractional calculus model of viscoelastic behaviour.
16. J. PADOVAN 1987 Computational Mechanics 2, 271-287. Computational algorithms for FE formulations involving fractional operators.
17. M. ENELUND and P. OLSSON 1995 In Proceedings 36th AIAA/ASME/ASCE/AHS/ASC Structures, Structural Dynamics and Materials Conference, part 1, 207-220. Washington, DC: AIAA. Damping described by fading memory models.
18. Å. FENANDER 1996 AIAA Journal 34, 1051-1058. Model synthesis when modelling damping by use of fractonal derivatives.
19. D. J. THOMPSON and W. J. VAN VLIET 1996 TNO-report TPD-HAG-RPT-960066, TNO Institute of Applied Physics, Delft, The Netherlands. Measurements of the high frequency dynamic properties of Swedish rail pads.
20. R. D. COOK, D. S. MALKUS and M. E. PLESHA 1989 Concepts and Applications of Finite Element Analysis. New York: Wiley; third edition.
21. M. ENELUND, Å. FENANDER and P. OLSSON 1997 AIAA Journal 35, 1356-1362. A fractional integral formulation of constitutive equations of viscoelasticity.
22. M. SHINOZUKA 1972 Computers & Structures 2, 855-874. Monte Carlo solution of structural dynamics.