Forced oscillations and resonance of infinite periodic strings

Journal of Sound and Vibration

Volumn 204, Issue 1, 1997, Pages 41-57

  Belotserkovskiy, P M ^a  

^a RUSSIAN UNIVERSITY OF TRANSPORT   (Russian Federation)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0001979841     PISSN: 0022460X     EISSN: None     Source Type: Journal    
DOI: 10.1006/jsvi.1997.0918     Document Type: Article

References (15)

1. LORD RAYLEIGH 1974 Theory of Sound (two volumes). New York: Dover Publications, second edition, 1945 re-issue.
2. I. T. KENNEY 1954 Journal of Applied Mechanics 21, 359-364. Steady-state vibrations of beams on elastic foundation for moving load.
3. P. M. MATTHEWS 1958 Zeitschrift für Angewandte Mathematik und Mechanik 38, 105-115. Vibrations of a beam on elastic foundations.
4. G. B. MURAVSKII 1981 Mechanics of Solids 16, 144-153. Vibration of a Timoshenko beam on an elastic-hereditary foundation.
5. G. B. MURAVSKII 1991 Stroitel'naya Mekhanika i Raschyot Soorunzheniy (Structural Mechanics and Structures Calculation) 1, 83-87. Resonance properties of a Timoshenko beam on an elastic foundation (in Russian).
6. D. J. MEAD 1971 Transactions of the American Society of Mechanical Engineers, Journal of Engineering for Industry Series B 93, 783-792. Vibration response and wave propagation in periodic structure.
7. D. J. MEAD 1986 Journal of Sound and Vibration 104, 9-27. A new method of analyzing wave propagation in periodic structure: applications to periodic Timoshenko beams and stiffened plates.
8. P. M. BELOTSERKOVSKIY 1996 Journal of Sound and Vibration 193, 705-712. On the oscillations of infinite periodic beams subjected to a moving concentrated force.
9. P. M. BELOTSERKOVSKIY 1992 Proceedings of the Moscow Institute for Railway Transport Engineers issue 866, Mathematical Methods and Problems of Transport Systems Functioning (F. I. Karpelevich and A. D. Myshkis, editors), 15-23. A railway vehicle wheel parametric oscillations, connected with sleeper spacing (in Russian).
10. P. M. BELOTSERKOVSKII 1995 Mechanics of Solids 30, 177-185. High-frequency vertical vibrations of a rail under the action of a mobile harmonic force.
11. A. D. MYSHKIS 1972 Linear Differential Equations with Time Lag (in Russian). Moscow: Nauka.
12. V. KOLMANOVSKII and A. MYSHKIS 1992 Applied Theory of Functional-differential Equations. Dordrecht: Kluwer.
13. R. E. BELLMAN and K. L. COOKE 1963 Differential-difference Equations. New York: Academic Press.
14. M. LINK and B. NOWAK 1989 Gleisdynamik und Fahrzeug-Farweg-Wechselwirkung in der Schienenfahrzeugdynamik. Dokumentation eines Seminars an der Technischen Universität Berlin am 7. Juli 1988. Zur Analyse des gekoppelten Systems Fahrdraht und Stromabnehmer bei holen Geschwindigkeiten.
15. 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.