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Dergiler / Kocaeli Journal of Science and Engineering / 2019 / Cilt: 2 - Sayı: 2

Analysis of Beam Vibrations on Partial Elastic Foundation Using Adomian Decomposition Method

Cebrail ÇİNÇİN
Safa Bozkurt COŞKUN
Sayfa
28–33
Yayın Tarihi
2022-10-19
DOI
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⚡ TL;DR(1 Cümlede Hızlı Çıkarım)

In the last chapter, proposed method and obtained results are discussed.

📌 3 Maddede Bu Makale

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Amaç & Hipotez:In this study, the natural frequencies of beams partially supported on elastic foundations are investigated.
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Temel Bulgular & Veri:In the analysis, Euler-Bernoulli beam theory and Winkler foundation model are used.
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Sonuç & Katkı:In the last chapter, proposed method and obtained results are discussed.
🔬Tür:Modelleme & Sayısal Simülasyon
📍Kapsam:Genişletilmiş Akademik Örneklem
⚙️Değişkenler:Adomian Decomposition Method · Euler-Bernoulli Beam · Free Vibration

Abstract

In this study, the natural frequencies of beams partially supported on elastic foundations are investigated. In the analysis, Euler-Bernoulli beam theory and Winkler foundation model are used. Adomian Decomposition Method (ADM) is used for the free vibration analysis for the beams considered. Free vibration modes are determined according to obtained results and first few modes are presented in tables and figures for beams with different support conditions. In the last chapter, proposed method and obtained results are discussed.

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Bu Makaleye Atıf Yap

ÇİNÇİN, C., COŞKUN, S. B. (2022). Analysis of Beam Vibrations on Partial Elastic Foundation Using Adomian Decomposition Method. Kocaeli Journal of Science and Engineering, Cilt: 2 - Sayı: 2, 28–33. https://ajindex.com/articles/574629

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Kaynakça (8)

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  3. Laura P. A. A., Cortinez V. H., 1987. Vibrating Beam Partially Embedded in Winkler-Type Foundation. Journal of Engineering Mechanics, 113(1), 143-147. Kukla S., 1991. Free Vibration of a Beam Supported on a Stepped Elastic Foundation. Journal of Sound and Vibration, 149(2), 259-265.
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  5. Motaghian S. E., Mofida M., Alanjari P., 2011. Exact Solution to Free Vibration of Beams Partially Supported by an Elastic Foundation. Scientia Iranica, 18(4), 861-866. Cazzani A., 2013. On the Dynamics of a Beam Partially Supported by an Elastic Foundation: An Exact Solution Set. International Journal of Structural Stability and Dynamics, doi: 10.1142/S0219455413500454. Coşkun S. B., Mutman U., Çinçin C., 2015. Free Vibration Analysis of A Beam Partially Supported on Elastic Foundation Using Adomian Decomposition Method. 5th International Earthquake Symposium, Kocaeli, Turkey, 10-12 June. Çinçin C., 2018. Analysis of Vibration A Beam Partially Supported on Elastic Foundation Using Adomian Decomposition Method. M. Sc. Thesis, Kocaeli University, Kocaeli. Adomian G., 1994. Solving Frontier Problems of Physics: The Decomposition Method, Kluwer Academic Publishers, Boston. Wazwaz A. M., 1998. A Comparison between Adomian Decomposition Method and Taylor Series Method in the Series Solutions. Applied Mathematics and Computation, 97(1), 37-44.
  6. Mao Q., Pietrzko S., 2010. Free Vibration Analysis of Stepped Beams by Using Adomian Decomposition Method. Applied Mathematics and Computation, 217(7), 3429-3441.
  7. Mao Q., Pietrzko S., 2012. Free Vibration Analysis of a Type of Tapered Beams by Using Adomian Decomposition Method. Applied Mathematics and Computation, 219(6), 3264-3271.
  8. Coşkun S. B., Atay M. T., Öztürk B., 2011. Transverse Vibration Analysis of Euler-Bernoulli Beams Using Analytical Approximate Techniques, Advances in Vibration Analysis Research, ed: Ebrahimi F., Intech Press, pp. 1-22, doi: 10.5772/639. Coşkun S. B., Öztürk B., Mutman U., 2014. Adomian Decomposition Method for Vibration of Nonuniform Euler Beams on Elas