Analysis of the vibration of an elastic beam supported on elastic soil using the differential transform method

Archive of Applied Mechanics

Volumn 79, Issue 2, 2009, Pages 135-146

  Balkaya, Müge ^a   Kaya, Metin O ^a   Saǧlamer, Ahmet ^a  

^a ISTANBUL TECHNICAL UNIVERSITY   (Turkey)

Author keywords

Beam; Differential transform method; DTM; Elastic soil; Pipeline; Vibration

Indexed keywords

BEAMS AND GIRDERS; FLOW MEASUREMENT; LINEARIZATION; PIPELINES; SOILS; STRUCTURES (BUILT OBJECTS); SYSTEMS ENGINEERING; TEMPERATURE CONTROL;

BEAM; DIFFERENTIAL TRANSFORM METHOD; DTM; ELASTIC SOIL; VIBRATION;

MATHEMATICAL TRANSFORMATIONS;

EID: 58149523136     PISSN: 09391533     EISSN: 14320681     Source Type: Journal    
DOI: 10.1007/s00419-008-0214-9     Document Type: Article

References (20)

1. I.E. Avramidis K. Morfidis 2006 Bending of beams on three-parameter elastic foundation Int. J. Solids Struct. 43 357 375
2. M.A. De Rosa 1995 Free vibration of Timoshenko beams on two-parameter elastic foundation Comput. Struct. 57 1 151 156
3. H. Matsunaga 1999 Vibration and bucklig of deep beam-columns on two-parameter elasti foundations J. Sound Vib. 228 2 359 376
4. M. El-Mously 1999 Fundamental frequencies of Timoshenko beams mounted on Pasternak foundation J. Sound Vib. 228 2 452 457
5. C.N. Chen 2000 Vibration of prismatic beam on an elastic foundation by the differential quadrature element method Comput. Struct. 77 1 9
6. C.N. Chen 2002 DQEM vibration analyses of non-prismatic shear deformable beams resting on elastic foundations J. Sound Vib. 255 5 989 999
7. İ. Coşkun 2003 The response of a finite beam on a tensionless Pasternak foundation subjected to a harmonic load Eur. J. Mech. A Solids 22 151 161
8. W.Q. Chen C.F. Lü Z.G. Bian 2004 A mixed method for bending and free vibration of beams resting on a Pasternak elastic foundation Appl. Math. Model. 28 877 890
9. P. Maheshwari S. Chandra P.K. Basudhar 2004 Response of beams on a tensionless extensible geosynthetic-reinforced earth bed subjected to moving loads Comput. Geotech. 31 537 548
10. N.M. Auciello M.A. De Rosa 2004 Two approaches to the dynamic analysis of foundation beams subjected to subtangential forces Comput. Struct. 82 519 524
11. Z. Elfelsoufi L. Azrar 2005 Buckling, flutter and vibration analyses of beams by integral equation formulations Comput. Struct. 83 2632 2649
12. P. Ruta 2006 The application of Chebyshev polynomials to the solution of the nonprismatic Timoshenko beam vibration problem J. Sound Vib. 296 243 263
13. Zhou J.K. (1986). Differential Transformation and its Application for Electrical Circuits. Wuhan, Huazhong University Press, China
14. C.K. Chen S.H. Ho 1999 Solving partial differential equations by two-dimensional differential transform method Appl. Math. Comput. 106 171 179
15. F. Ayaz 2003 On the two-dimensional differential transform method Appl. Math. Comput. 143 361 374
16. F. Ayaz 2004 Solutions of the system of differential equations by differential transform method Appl. Math. Comput. 147 547 567
17. A. ArIkoǧlu İ. Özkol 2005 Solution of boundary value problems for integro-differential equations by using differential transform method Appl. Math. Comput. 168 1145 1158
18. Ö. Özdemir M.O. Kaya 2006 Flapwise bending vibration analysis of a rotating tapered cantilever Bernoulli-Euler beam by differential transform method J. Sound Vib. 289 413 420
19. M.O. Kaya 2006 Free vibration analysis of rotating timoshenko beam by differential transform method Aircr. Eng. Aerosp Technol. 78 3 194 203
20. Ö. Özdemir M.O. Kaya 2006 Flapwise bending vibration analysis of double tapered rotating Euler-Bernoulli beam by using the differential transform method Meccanica 41 6 661 670 10.1007/s11012-006-9012-z