Research Article

EFFECT OF THE FINITE ELEMENT MODELING TECHNIQUES ON THE DYNAMIC ANALYSIS OF BEAMS

Volume: 9 Number: 18 December 31, 2022
EN TR

EFFECT OF THE FINITE ELEMENT MODELING TECHNIQUES ON THE DYNAMIC ANALYSIS OF BEAMS

Abstract

Analysis of the free and forced vibration responses of beams is one of the most critical problems to be examined in the design step of these structural members. The finite-element method which solves boundary value problems can be applied efficiently to vibration problems. In this study, the natural vibration frequency and damped and undamped transient analyses of the pinned-pinned beams are investigated. The well-known finite-element software packages, ANSYS and SAP2000, are used. The 2-D elastic beam which is based on the Euler-Bernoulli Beam theory, 3-D two-node and 3-D three-node beam elements which are based on Timoshenko beam theory, and four-node shell elements are used in ANSYS and the frame member is utilized in SAP2000. The effect of these elements on the dynamic behaviors of the isotropic beam is discussed. The results are given in tabular and graphical form for the free and forced vibration, respectively.

Keywords

Free Vibration , Forced Vibration , Beam , Finite-Element Method , Viscoelastic

References

  1. Kapur KK. Vibrations of a Timoshenko beam, using finite‐element approach. The Journal of the Acoustical Society of America 1966;40:1058–63. https://doi.org/10.1121/1.1910188.
  2. Thomas J, Abbas BAH. Finite element model for dynamic analysis of Timoshenko beam. Journal of Sound and Vibration 1975;41:291–9. https://doi.org/10.1016/S0022-460X(75)80176-3.
  3. Gupta RS, Rao SS. Finite element eigenvalue analysis of tapered and twisted Timoshenko beams. Journal of Sound and Vibration 1978;56:187–200. https://doi.org/10.1016/S0022-460X(78)80014-5.
  4. Dawe DJ. A finite element for the vibration analysis of Timoshenko beams. Journal of Sound and Vibration 1978;60:11–20. https://doi.org/10.1016/0022-460X(78)90397-8.
  5. Chen AT, Yang TY. Static and dynamic formulation of a symmetrically laminated beam finite element for a microcomputer. Journal of Composite Materials. 1985;19(5):459-475. doi:10.1177/002199838501900505
  6. Ahmed KM. Free vibration of curved sandwich beams by the method of finite elements. Journal of Sound and Vibration 1971;18:61–74. https://doi.org/10.1016/0022-460X(71)90631-6.
  7. Yang F, Sedaghati R, Esmailzadeh E. Free in-plane vibration of general curved beams using finite element method. Journal of Sound and Vibration 2008;318:850–67. https://doi.org/10.1016/J.JSV.2008.04.041.
  8. Ramtekkar GS. Free vibration analysis of delaminated beams using mixed finite element model. Journal of Sound and Vibration 2009;328:428–40. https://doi.org/10.1016/J.JSV.2009.08.008.
  9. Ramtekkar GS, Desai YM, Shah AH. Natural vıbrations of laminated composite beams by using mixed finite element modelling. Journal of Sound and Vibration 2002;257:635–51. https://doi.org/10.1006/JSVI.2002.5072.
  10. Alshorbagy AE, Eltaher MA, Mahmoud FF. Free vibration characteristics of a functionally graded beam by finite element method. Applied Mathematical Modelling 2011;35:412–25. https://doi.org/10.1016/J.APM.2010.07.006.
APA
Noorı, A. R., & Yıldırım, S. (2022). EFFECT OF THE FINITE ELEMENT MODELING TECHNIQUES ON THE DYNAMIC ANALYSIS OF BEAMS. Adıyaman Üniversitesi Mühendislik Bilimleri Dergisi, 9(18), 581-590. https://doi.org/10.54365/adyumbd.1173315
AMA
1.Noorı AR, Yıldırım S. EFFECT OF THE FINITE ELEMENT MODELING TECHNIQUES ON THE DYNAMIC ANALYSIS OF BEAMS. Adıyaman Üniversitesi Mühendislik Bilimleri Dergisi. 2022;9(18):581-590. doi:10.54365/adyumbd.1173315
Chicago
Noorı, Ahmad Reshad, and Sefa Yıldırım. 2022. “EFFECT OF THE FINITE ELEMENT MODELING TECHNIQUES ON THE DYNAMIC ANALYSIS OF BEAMS”. Adıyaman Üniversitesi Mühendislik Bilimleri Dergisi 9 (18): 581-90. https://doi.org/10.54365/adyumbd.1173315.
EndNote
Noorı AR, Yıldırım S (December 1, 2022) EFFECT OF THE FINITE ELEMENT MODELING TECHNIQUES ON THE DYNAMIC ANALYSIS OF BEAMS. Adıyaman Üniversitesi Mühendislik Bilimleri Dergisi 9 18 581–590.
IEEE
[1]A. R. Noorı and S. Yıldırım, “EFFECT OF THE FINITE ELEMENT MODELING TECHNIQUES ON THE DYNAMIC ANALYSIS OF BEAMS”, Adıyaman Üniversitesi Mühendislik Bilimleri Dergisi, vol. 9, no. 18, pp. 581–590, Dec. 2022, doi: 10.54365/adyumbd.1173315.
ISNAD
Noorı, Ahmad Reshad - Yıldırım, Sefa. “EFFECT OF THE FINITE ELEMENT MODELING TECHNIQUES ON THE DYNAMIC ANALYSIS OF BEAMS”. Adıyaman Üniversitesi Mühendislik Bilimleri Dergisi 9/18 (December 1, 2022): 581-590. https://doi.org/10.54365/adyumbd.1173315.
JAMA
1.Noorı AR, Yıldırım S. EFFECT OF THE FINITE ELEMENT MODELING TECHNIQUES ON THE DYNAMIC ANALYSIS OF BEAMS. Adıyaman Üniversitesi Mühendislik Bilimleri Dergisi. 2022;9:581–590.
MLA
Noorı, Ahmad Reshad, and Sefa Yıldırım. “EFFECT OF THE FINITE ELEMENT MODELING TECHNIQUES ON THE DYNAMIC ANALYSIS OF BEAMS”. Adıyaman Üniversitesi Mühendislik Bilimleri Dergisi, vol. 9, no. 18, Dec. 2022, pp. 581-90, doi:10.54365/adyumbd.1173315.
Vancouver
1.Ahmad Reshad Noorı, Sefa Yıldırım. EFFECT OF THE FINITE ELEMENT MODELING TECHNIQUES ON THE DYNAMIC ANALYSIS OF BEAMS. Adıyaman Üniversitesi Mühendislik Bilimleri Dergisi. 2022 Dec. 1;9(18):581-90. doi:10.54365/adyumbd.1173315