Non-linear vibrations of a beam on an elastic foundation

Journal of Sound and Vibration

Volumn 223, Issue 3, 1999, Pages 335-354

  Coskun, I ^a   Engin, H ^b  

^a YILDIZ TECHNICAL UNIVERSITY   (Turkey)

^b ISTANBUL TECHNICAL UNIVERSITY   (Turkey)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 0042708590     PISSN: 0022460X     EISSN: None     Source Type: Journal    
DOI: 10.1006/jsvi.1998.1973     Document Type: Article

References (20)

1. A. D. KERR 1964 Journal of Applied Mechanics 31, 491-498. Elastic and viscoelastic foundation models.
2. K. P. SOLDATOS and A. P. S. SELVADURAI 1985 International Journal of Solids Structures 21, 373-388. Flexure of beams resting on hyperbolic elastic foundations.
3. J. S. SMAIL 1991 International Journal of Solids Structures 27, 1073-1084. Large deflection response of annular plates on Pasternak foundations.
4. K. K. RAJU and G. V. RAO 1993 Journal of Sound and Vibration 16, 369-371. Effect of a non-linear elastic foundation on the mode shapes in stability and vibration problems of uniform columns/beams.
5. Y. S. SHIH and P. T. BLOTTER 1993 Journal of Sound and Vibration 167, 433-459. Nonlinear vibration analysis of arbitrarily laminated thin rectangular plates on elastic foundations.
6. P. C. DUMIR, CH. R. KUMAR and M. L. GANDHI 1985 Journal of Sound and Vibration 103, 273-285. Nonlinear axisymmetric vibration of orthotropic thin circular plates on elastic foundations.
7. Y. WEITSMAN 1970 Journal of Applied Mechanics 37, 1019-1030. On foundations that react in compression only.
8. P. A. VILLIAGGIO 1983 Journal of Applied Mechanics 50, 297-302. Free boundary value problem in plate theory.
9. Z. CELEP 1988 Journal of Engineering Mechanics 114, 1723-1739. Circular plates on a tensionless Winkler foundation.
10. Z. CELEP 1988 Journal of Engineering Mechanics 114, 2083-2092. Rectangular plates resting on a tensionless elastic foundation.
11. Y. WEITSMAN 1971 International Journal of Mechanical Sciences 13, 707-711. Onset of separation between a beam and tensionless elastic foundation under a moving load.
12. N. S. V. K. RAO 1974 Journal of Applied Mechanics 41, 303-305. Onset of separation between a beam and tensionless elastic foundation due to moving loads.
13. J. CHOROS and G. G. ADAMS 1979 Journal of Applied Mechanics 46,175-180. A steadily moving load on an elastic beam resting on a tensionless Winkler foundation.
14. L. LIN and G. G. ADAMS 1987 Journal of Engineering Mechanics 113, 542-553. Beam on tensionless elastic foundation.
15. Z. CELEP, A. MALAIKA and M. ABU-HUSSEIN 1989 Journal of Sound and Vibration 128, 235-246. Forced vibrations of a beam on a tensionless foundation.
16. Z. CELEP and D. TURHAN 1990 Journal of Applied Mechanics 57, 677-681. Axisymmetric vibrations of circular plates on tensionless elastic foundations.
17. K. GÜLER and Z. CELEP 1995 Journal of Applied Mechanics 183, 185-195. Static and dynamic responses of a circular plate on a tensionless elastic foundation.
18. M. EISENBERGER 1994 Journal of Sound and Vibration 176, 577-584. Vibration frequencies for beams on variable one and two parameter elastic foundations.
19. A. BHASKAR and P. C. DUMIR 1988 Journal of Sound and Vibration 125, 1-11. Non-linear vibration of orthotropic thin rectangular plates on elastic foundations.
20. I. COSKUN 1997 Thesis presented to the Technical University of Istanbul, in partial fulfillment of the requirements for the degree of Ph.D. Nonlinear vibrations of beams on elastic foundation (in Turkish).