Energy expressions and free vibration analysis of a rotating double tapered Timoshenko beam featuring bending-torsion coupling

International Journal of Engineering Science

Volumn 45, Issue 2-8, 2007, Pages 562-586

  Ozgumus, Ozge Ozdemir ^a   Kaya, Metin O ^a  

^a ISTANBUL TECHNICAL UNIVERSITY   (Turkey)

Author keywords

Bending torsion coupled beam; Differential transform method; Differential transformation; Nonuniform Timoshenko beam; Rotating Timoshenko beam; Tapered Timoshenko beam

Indexed keywords

DIFFERENTIAL TRANSFORM METHOD (DTM); MODE SHAPES; NONUNIFORM TIMOSHENKO BEAMS; TIMOSHENKO BEAM;

BENDING (DEFORMATION); DIFFERENTIAL EQUATIONS; KINETIC ENERGY; NATURAL FREQUENCIES; POTENTIAL ENERGY; VIBRATION ANALYSIS;

BEAMS AND GIRDERS;

EID: 34447635526     PISSN: 00207225     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.ijengsci.2007.04.005     Document Type: Article

References (39)

1. J.C. Houbolt, C.W. Brooks, National Advisory Committee for Aeronautics Report 1346, 1958.
2. Bishop R.E.D., and Price W.G. J. Sound Vib. 50 (1977) 469-477
3. Subrahmanyam K.B., Kulkarni S.V., and Rao J.S. J. Sound Vib. 75 1 (1981) 17-36
4. Hallauer W.L., and Liu R.Y.L. J. Sound Vib. 85 (1982) 105-113
5. Friberg P.O. Int. J. Numer. Meth. Eng. 19 (1983) 479-493
6. Dokumaci{dotless} E. J. Sound Vib. 119 (1987) 443-449
7. Bishop R.E.D., Cannon S.M., and Miao S. J. Sound Vib. 131 (1989) 457-464
8. Karadag V. J. Sound Vib. 8 (1984) 183-197
9. Karadag V. J. Sound Vib. 92 4 (1984) 471-490
10. Banerjee J.R., and Williams F.W. Comput Struct. 42 (1992) 301-310
11. Banerjee J.R., and Williams F.W. Int. J. Solids Struct. 31 (1994) 749-762
12. Banerjee J.R., Guo S., and Howson W.P. Comput Struct 59 (1996) 612-621
13. Eslimy-Isfahany S.H.R., Banerjee J.R., and Sobey A.J. J. Sound Vib. 195 2 (1996) 267-283
14. Bercin A.N., and Tanaka M. J. Sound Vib. 207 1 (1997) 47-59
15. Hashemi S.M., and Richard M.J. Comput. Struct. 77 (2000) 711-724
16. Sabuncu M., and Evran K. Int. J. Mech. Sci. 48 (2006) 579-590
17. Sabuncu M., and Evran K. Finite Elem. Anal. Des. 41 (2005) 1011-1026
18. Kaya M.O. Aircr. Eng. Aerosp. Tech. 78 3 (2006) 194-203
19. Ozgumus O.O., and Kaya M.O. MECCANICA 2006 41 6 (2006) 661-670
20. Özdemir O., and Kaya M.O. J. Sound Vib. 289 (2006) 413-420
21. Ö. Özdemir, M.O. Kaya, Flexural-torsional coupled vibration analysis of a thin-walled closed section composite Timoshenko beam by using the differential transform method, in: The Seventh International Conference on Vibration Problems (ICOVP-2005), Turkey, 2005, pp. 279-284.
22. Ö. Özdemir, M.O. Kaya, Free vibration analysis of a rotating tapered Timoshenko beam, in: Third Ankara International Aerospace Conference, Turkey, 2005 (on CD).
23. Zhou J.K. Differential Transformation and Its Application for Electrical Circuits (1986), Huazhong University Press, PR China (in Chinese)
24. Chiou J.S., and Tzeng J.R. J. Vib. Acoust. 118 (1996) 83-87
25. Jang M.J., Chen C.L., and Liu Y.C. Appl. Math. Comput. 121 (2001) 261-270
26. Abdel I.H., and Hassan H. Appl. Math. Comput. 127 (2002) 1-22
27. Arikoglu A., and Ozkol I. Appl. Math. Comput. 168 (2005) 1145-1158
28. Arikoglu A., and Ozkol I. Appl. Math. Comput. 181 (2006) 153-162
29. Ozdemir Ozgumus O., and Kaya M.O. Aircr. Eng. Aerosp. Tech. 79 2 (2007) 177-183
30. Ozdemir Ozgumus O., and Kaya M.O. Aircr. Eng. Aerosp. Tech. 79 3 (2007) 231-237
31. Eringen A.C. Mechanics of Continua (1980), Robert E. Krieger Publishing Company, Huntington, New York
32. D.H. Hodges, E.H. Dowell, NASA TN D -7818, 1974.
33. Du H., Lim M.K., and Liew K.M. J. Sound Vib. 175 (1994) 505-523
34. Lee S.Y., and Kuo Y.H. J. Sound Vib. 162 (1993) 243-250
35. Banerjee J.R. J. Sound Vib. 247 1 (2001) 97-115
36. Eslimy-Isfahany S.H.R., and Banerjee J.R. J. Sound Vib. 238 2 (2000) 295-308
37. Bazoune A., and Khulief Y.A. J. Sound Vib. 156 (1992) 141-164
38. Khulief Y.A., and Bazoune A. Comput. Struct. 42 5 (1992) 781-795
39. Downs B. J. Appl. Mech. 44 (1977) 737-742