Stability of a two-mass oscillator moving on a beam supported by a visco-elastic half-space

International Journal of Solids and Structures

Volumn 42, Issue 3-4, 2005, Pages 1187-1207

  Metrikine, A V ^a   Verichev, S N ^a   Blaauwendraad, J ^a  

^a DELFT UNIVERSITY OF TECHNOLOGY   (Netherlands)

Author keywords

[No Author keywords available]

Indexed keywords

DAMPING; DYNAMICS; FOURIER TRANSFORMS; LAPLACE TRANSFORMS; MATHEMATICAL MODELS; OSCILLATORS (ELECTRONIC); PARAMETER ESTIMATION; RAILROAD TRANSPORTATION; STABILITY; STIFFNESS; VISCOELASTICITY;

D-DECOMPOSITION METHOD; DYNAMIC STIFFNESS; ONE-DIMENSIONAL MODELS;

BEAMS AND GIRDERS;

EID: 11244284923     PISSN: 00207683     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ijsolstr.2004.03.006     Document Type: Article

References (33)

1. Achenbach J.D. Wave propagation in elastic solids. 1973;North-Holland Pub. Co., Amsterdam
2. Andersen L., Nielsen S.R.K., Iwankiewicz R. Vehicle moving along an infinite beam with random surface irregularities on a Kelvin foundation. ASME Journal of Applied Mechanics. 69(1):2002;69-75
3. Andersen L., Nielsen S.R.K. Boundary element analysis of the steady-state response of an elastic half-space to a moving force on its surface. Engineering Analysis with Boundary Elements. 27(1):2003;23-38
4. Andersen L., Nielsen S.R.K. Vibrations of a track caused by variation of the foundation stiffness. Probabilistic Engineering Mechanics. 18(2):2003;171-184
5. Bogacz R., Nowakowski S., Popp K. On the stability of a Timoshenko beam on an elastic foundation under a moving spring-mass system. Acta Mechanica. 61:1986;117-127
6. Clouteau D., Degrande G., Lombaert G. Numerical modelling of traffic induced vibrations. Meccanika. 36(4):2001;401-420
7. Denisov G.G., Kugusheva E.K., Novikov V.V. On the problem of the stability of one-dimensional unbounded elastic systems. Journal of Applied Mathematics and Mechanics. 49:1985;533-537
8. Dieterman H.A., Metrikine A.V. The equivalent stiffness of a half-space interacting with a beam. Critical velocities of a moving load along the beam. European Journal of Mechanics A/Solids. 15:1996;67-90
9. Dieterman H.A., Metrikine A.V. Steady-state displacements of a beam on an elastic half-space due to a uniformly moving constant load. European Journal of Mechanics A/Solids. 16:1997;295-306
10. Filippov A.P. Steady-state vibrations of an infinite beam on an elastic half-space under moving load. Izvestija AN SSSR OTN Mehanica and Mashinostroenie. 6:1961;97-105. (in Russian)
11. Ginzburg V.L. Applications of Electrodynamics in Theoretical Physics and Astrophysics. 1990;Gordon and Breach, New York
12. Grundmann H., Lenz S. Nonlinear interaction between a moving SDOF system and a Timoshenko beam/halfspace support. Archive of Applied Mechanics. 72(11-12):2003;830-842
13. Grundmann H., Lieb M., Trommer E. The response of a layered half-space to traffic loads moving along its surface. Archive of Applied Mechanics. 69:1999;55-67
14. Kaynia A.M., Madhus C., Zackrisson P. Ground vibration from high-speed trains: prediction and countermeasure. Journal of Geotechnical Geoenvironmental Engineering. 126(6):2000;531-537
15. Kononov A.V., de Borst R. Instability analysis of vibrations of a uniformly moving mass in one and two-dimensional elastic systems. European Journal of Mechanics A/Solids. 21:2002;151-165
16. Krylov V.V. Generation of ground vibrations by superfast trains. Applied Acoustics. 44:1995;149-164
17. Labra J.J. An axially stressed railroad track on an elastic continuum subjected to a moving load. Acta Mechanica. 22:1975;113-129
18. Metrikine A.V. Unstable lateral oscillations of an object moving uniformly along elastic guide as a result of anomalous Doppler effect. Acoustical Physics. 40:1994;85-89
19. Metrikine A.V., Dieterman H.A. Instability of vibrations of a mass moving uniformly along an axially compressed beam on a viscoelastic foundation. Journal of Sound and Vibration. 201:1997;567-576
20. Metrikine A.V., Dieterman H.A. Resonance interaction of vertical-longitudinal and lateral waves in a beam on a half-space. Journal of Applied Mechanics - Transactions of ASME. 64:1997;951-956
21. Metrikine A.V., Popp K. Instability of vibrations of an oscillator moving along a beam on an elastic half-space. European Journal of Mechanics A/Solids. 18:1999;679-701
22. Metrikine A.V., Verichev S.N. Instability of vibration of a moving two-mass oscillator on a flexibly supported Timoshenko beam. Archive of Applied Mechanics. 71:2001;613-624
23. Metrikine A.V., Vesnitsky A.I. Instability of vibrations of a mass moving uniformly over periodically and randomly-inhomogeneous elastic systems. ZAMM. 76(S4):1996;441-444
24. Metrikine A.V., Vostroukhov A.V., Vrouwenvelder A.C.W.M. Drag experienced by a high-speed train due to excitation of ground vibrations. International Journal of Solid and Structures. 38:2001;8851-8868
25. Neimark Y.I. Dynamic Systems and Controllable Processes. 1978;Nauka, Moscow. (in Russian)
26. Popp K., Kruse H., Kaiser I. Vehicle-track dynamics in the mid-frequency range. Vehicle System Dynamics. 31:1999;423-464
27. Sheng X., Jones C.J.C., Petyt M. Ground vibration generated by a load moving along a railway track. Journal of Sound and Vibration. 228(1):1999;129-156
28. Verichev S.N., Metrikine A.V. Dynamic rigidity of a beam in a moving contact. Journal of Applied Mechanics and Technical Physics. 41:2000;1111-1117
29. Verichev S.N., Metrikine A.V. Instability of a bogie moving on a flexibly supported Timoshenko beam. Journal of Sound and Vibration. 253:2002;653-668
30. Verichev S.N., Metrikine A.V. Instability of vibrations of a mass that moves uniformly along a beam on a periodically inhomogeneous foundation. Journal of Sound and Vibration. 260:2003;901-925
31. Vostroukhov A.V., Metrikine A.V. Periodically supported beam on a visco-elastic layer as a model for dynamic analysis of a high-speed railway track. International Journal of Solids and Structures. 40(21):2003;5723-5752
32. Zheng D.Y., Au F.T.K., Cheung Y.K. Vibration of vehicle on compressed rail on viscoelastic foundation. ASCE Journal of Engineering Mechanics. 126:2000;1141-1147
33. Zheng D.Y., Fan S.C. Instability of vibration of a moving-train-and-rail coupling system. Journal of Sound and Vibration. 255:2002;243-259