Araştırma Makalesi
BibTex RIS Kaynak Göster
Yıl 2020, , 1321 - 1328, 01.12.2020
https://doi.org/10.16984/saufenbilder.707631

Öz

Kaynakça

  • J.P. Den Hartog, Advanced Strength of Materials, Dover Publications Inc., New York, pp. 286–290, 1952.
  • S.P. Timoshenko D.H. Young and W. Weaver, Vibration Problems in Engineering, John Wiley, New York, 1974.
  • R.D. Blevins, Formulas for Natural Frequency and Mode Shape, New York, 1979.
  • S.K. Jang and C.W. Bert, “Free Vibration of Stepped Beams: Exact and Numerical Solutions”, Journal of Sound and Vibration, vol. 130, pp. 342-346, 1989.
  • Y.C. Lai, B.Y. Ting, W.S. Lee and W.R. Becker, “Dynamic Response of Beams on Elastic Foundations”, J. Struct. Engng. ASCE, vol. 118, pp. 853-858, 1992.
  • J. Wang, “Vibration of Stepped Beams on Elastic Foundations”, Journal of Sound and Vibration, vol. 149, no. 2, pp. 315-322, 1991.
  • S. Kukla, “Free vibration of a beam supported on a stepped elastic foundation”, Journal of Sound and Vibration, vol. 149, no. 2, pp. 259-265, 1991.
  • P.M. Belles, M.J. Maurizi, and D.H. Di Luca, “Vibration of stepped beams on non-uniform elastic foundations”, Journal of Sound and Vibration, vol. 169, no. 1, pp. 127-128, 1994.
  • D. Thambiratnam and Y.Zhuge, “Free vibration analysis of beams on elastic foundation”, Computers and Structures, vol. 60, pp. 971-980, 1996.
  • O.F. Durgun, “Elastik Zemin Uzerindeki Kademeli Kirişin Homotopi Pertürbasyon Yönetimi ile Serbest Titreşim Analizi”, M.Sc.Thesis, in Turkish, 2015.
  • G. Adomian, Solving Frontier Problems of Physics: The Decomposition Method, Springer, Netherlands, 1994.
  • CSI, SAP 2000, Ver. 21.02, integrated software for structural analysis and design. Computers and Structures Inc., Berkeley, CA, USA, 2019.

Semi-Analytical and Finite Element Investigations of the Vibration of a Stepped Beam on an Elastic Foundation

Yıl 2020, , 1321 - 1328, 01.12.2020
https://doi.org/10.16984/saufenbilder.707631

Öz

In this study free vibration behavior of a stepped beam on an elastic foundation is considered. The vibration of uniform beams on an elastic foundation has been previously studied extensively and various solutions are available in the literature. However, the problem considered in current study appears not to have been widely covered in the literature and analytical solutions are strictly limited. To this aim, semi-analytical solutions are obtained first by using Adomian decomposition method, then finite element solutions are computed via structural finite element analysis software (SAP 2000). The free vibration analysis of stepped beam considering the combinations of different support conditions at each end are performed employing semi-analytical and finite element methods. The findings of the analysis are compared and discussed in detail.

Kaynakça

  • J.P. Den Hartog, Advanced Strength of Materials, Dover Publications Inc., New York, pp. 286–290, 1952.
  • S.P. Timoshenko D.H. Young and W. Weaver, Vibration Problems in Engineering, John Wiley, New York, 1974.
  • R.D. Blevins, Formulas for Natural Frequency and Mode Shape, New York, 1979.
  • S.K. Jang and C.W. Bert, “Free Vibration of Stepped Beams: Exact and Numerical Solutions”, Journal of Sound and Vibration, vol. 130, pp. 342-346, 1989.
  • Y.C. Lai, B.Y. Ting, W.S. Lee and W.R. Becker, “Dynamic Response of Beams on Elastic Foundations”, J. Struct. Engng. ASCE, vol. 118, pp. 853-858, 1992.
  • J. Wang, “Vibration of Stepped Beams on Elastic Foundations”, Journal of Sound and Vibration, vol. 149, no. 2, pp. 315-322, 1991.
  • S. Kukla, “Free vibration of a beam supported on a stepped elastic foundation”, Journal of Sound and Vibration, vol. 149, no. 2, pp. 259-265, 1991.
  • P.M. Belles, M.J. Maurizi, and D.H. Di Luca, “Vibration of stepped beams on non-uniform elastic foundations”, Journal of Sound and Vibration, vol. 169, no. 1, pp. 127-128, 1994.
  • D. Thambiratnam and Y.Zhuge, “Free vibration analysis of beams on elastic foundation”, Computers and Structures, vol. 60, pp. 971-980, 1996.
  • O.F. Durgun, “Elastik Zemin Uzerindeki Kademeli Kirişin Homotopi Pertürbasyon Yönetimi ile Serbest Titreşim Analizi”, M.Sc.Thesis, in Turkish, 2015.
  • G. Adomian, Solving Frontier Problems of Physics: The Decomposition Method, Springer, Netherlands, 1994.
  • CSI, SAP 2000, Ver. 21.02, integrated software for structural analysis and design. Computers and Structures Inc., Berkeley, CA, USA, 2019.
Toplam 12 adet kaynakça vardır.

Ayrıntılar

Birincil Dil İngilizce
Konular İnşaat Mühendisliği
Bölüm Araştırma Makalesi
Yazarlar

Hakan Erdoğan 0000-0002-7241-7652

Safa Bozkurt Coşkun 0000-0002-1962-7722

Yayımlanma Tarihi 1 Aralık 2020
Gönderilme Tarihi 23 Mart 2020
Kabul Tarihi 7 Ekim 2020
Yayımlandığı Sayı Yıl 2020

Kaynak Göster

APA Erdoğan, H., & Coşkun, S. B. (2020). Semi-Analytical and Finite Element Investigations of the Vibration of a Stepped Beam on an Elastic Foundation. Sakarya University Journal of Science, 24(6), 1321-1328. https://doi.org/10.16984/saufenbilder.707631
AMA Erdoğan H, Coşkun SB. Semi-Analytical and Finite Element Investigations of the Vibration of a Stepped Beam on an Elastic Foundation. SAUJS. Aralık 2020;24(6):1321-1328. doi:10.16984/saufenbilder.707631
Chicago Erdoğan, Hakan, ve Safa Bozkurt Coşkun. “Semi-Analytical and Finite Element Investigations of the Vibration of a Stepped Beam on an Elastic Foundation”. Sakarya University Journal of Science 24, sy. 6 (Aralık 2020): 1321-28. https://doi.org/10.16984/saufenbilder.707631.
EndNote Erdoğan H, Coşkun SB (01 Aralık 2020) Semi-Analytical and Finite Element Investigations of the Vibration of a Stepped Beam on an Elastic Foundation. Sakarya University Journal of Science 24 6 1321–1328.
IEEE H. Erdoğan ve S. B. Coşkun, “Semi-Analytical and Finite Element Investigations of the Vibration of a Stepped Beam on an Elastic Foundation”, SAUJS, c. 24, sy. 6, ss. 1321–1328, 2020, doi: 10.16984/saufenbilder.707631.
ISNAD Erdoğan, Hakan - Coşkun, Safa Bozkurt. “Semi-Analytical and Finite Element Investigations of the Vibration of a Stepped Beam on an Elastic Foundation”. Sakarya University Journal of Science 24/6 (Aralık 2020), 1321-1328. https://doi.org/10.16984/saufenbilder.707631.
JAMA Erdoğan H, Coşkun SB. Semi-Analytical and Finite Element Investigations of the Vibration of a Stepped Beam on an Elastic Foundation. SAUJS. 2020;24:1321–1328.
MLA Erdoğan, Hakan ve Safa Bozkurt Coşkun. “Semi-Analytical and Finite Element Investigations of the Vibration of a Stepped Beam on an Elastic Foundation”. Sakarya University Journal of Science, c. 24, sy. 6, 2020, ss. 1321-8, doi:10.16984/saufenbilder.707631.
Vancouver Erdoğan H, Coşkun SB. Semi-Analytical and Finite Element Investigations of the Vibration of a Stepped Beam on an Elastic Foundation. SAUJS. 2020;24(6):1321-8.

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