Axisymmetric forced vibrations of an elastic free circular plate on a tensionless two parameter foundation

Journal of Sound and Vibration

Volumn 301, Issue 3-5, 2007, Pages 495-509

  Celep, Z ^a   Guler K ^a  

^a ISTANBUL TECHNICAL UNIVERSITY   (Turkey)

Author keywords

[No Author keywords available]

Indexed keywords

APPROXIMATION THEORY; ELASTICITY; GALERKIN METHODS; ITERATIVE METHODS; NUMERICAL METHODS; PARAMETER ESTIMATION; ROTATION;

FORCED VIBRATIONS; GOVERNING EQUATIONS; PARAMETER FOUNDATION;

VIBRATIONS (MECHANICAL);

EID: 33846443192     PISSN: 0022460X     EISSN: 10958568     Source Type: Journal    
DOI: 10.1016/j.jsv.2006.09.029     Document Type: Article

References (22)

1. Kerr A.D. Elastic and viscoelastic foundation models. Journal of Applied Mechanics 31 (1964) 491-498
2. Kerr A.D. On the derivations of well-posed boundary value problems in structural mechanics. International Journal of Solids and Structures 12 1 (1976) 1-11
3. Weisman Y. On foundations that react in compression only. Journal of Applied Mechanics 37 (1970) 1019-1030
4. Villaggio P. A free boundary value problem in plate theory. Journal of Applied Mechanics 50 (1983) 297-302
5. Dempsey J.P., Keer L.M., Patel N.B., and Glasser M.L. Contact between plates and unilateral supports. Journal of Applied Mechanics 51 (1984) 324-328
6. Celep Z., Turhan D., and Al-Zaid R.Z. Circular elastic plates on elastic unilateral edge supports. Journal of Applied Mechanics 55 3 (1988) 624-628
7. Celep Z. Circular plate on tensionless Winkler foundation. Journal of Engineering Mechanics 114 10 (1988) 1723-1739
8. Celep Z., Turhan D., and Al-Zaid R.Z. Contact between a circular plate and a tensionless edge support. International Journal of Mechanical Sciences 30 10 (1988) 733-741
9. Hong T., Teng J.G., and Luo Y.F. Axisymmetric shells and plates on tensionless elastic foundations. International Journal of Solids and Structures 36 (1999) 5277-5300
10. Celep Z. Harmonic and seismic responses of a plate-column system on a tensionless Winkler foundation. Journal of Sound and Vibration 155 1 (1992) 47-53
11. Güler K., and Celep Z. Static and dynamic responses of a circular plate on a tensionless elastic foundation. Journal of Sound and Vibration 183 2 (1995) 185-195
12. Celep Z., and Güler K. Static and dynamic responses of a rigid circular plate on a tensionless Winkler foundation. Journal of Sound and Vibration 276 1-2 (2004) 449-458
13. Celep Z., and Gençoǧlu M. Forced vibrations of rigid circular plate on a tensionless Winkler edge support. Journal of Sound and Vibration 263 (2003) 945-953
14. Vallabhan C.V.G., Straughan W.T., and Das Y.C. A refined model for analysis of plates on elastic foundations. Journal of Engineering Mechanics ASCE 117 (1991) 2830-2844
15. Vallabhan C.V.G., and Daloǧlu A.T. Consistent FEM-Vlasov model for plates on layered soil. Journal of Structural Engineering ASCE 127 (1999) 108-113
16. Ayvaz Y., Daloǧlu A.T., and Doǧangün A. Application of a modified Vlasov model to earthquake analysis of plate on elastic foundations. Journal of Sound and Vibration 212 3 (1998) 499-509
17. Daloǧlu A.T., Doǧangün A., and Ayvaz Y. Dynamic analysis of foundation plates using a consistent Vlasov model. Journal of Sound and Vibration 224 5 (1999) 941-951
18. Çelik M., and Saygun A. A method for the analysis on plates on a two-parameter foundation. International Journal of Solids and Structures 36 (1999) 2891-2916
19. Saygun A., and Çelik M. Analysis of circular plates on two-parameter elastic foundation. Structural Engineering and Mechanics 15 2 (2003) 249-267
20. Buczkowski R., and Torbacki W. Finite element modeling of thick plates on two-parameter elastic foundation. International Journal for Numerical and Analytical Method in Geomechanics 25 (2001) 1409-1427
21. Kerr A.D., and Coffin D.W. Beams on a two-dimensional Pasternak base subjected to loads that cause lift-off. International Journal of Solids and Structures 28 4 (1991) 413-422
22. Güler K. Circular elastic plate resting on tensionless Pasternak foundation. Journal of Engineering Mechanics ASCE 130 10 (2004) 1251-1254