Analysis of Beam Vibrations on Partial Elastic Foundation Using Adomian Decomposition Method
Öz
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.
Anahtar Kelimeler
Kaynakça
- Doyle P. F., Pavlovic M. N., 1982. Vibration of Beams on Partial Elastic Foundations. Earthquake Engineering and Structural Dynamics, 10(5), 663-674.
- Eisenberger M., Yankelevsky D. Z., Adin M. A., 1985. Vibrations of Beams Fully or Partially Supported on Elastic Foundations. Earthquake Engineering and Structural Dynamics, 13(5), 651-660.
- 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.
- Thambiratnam D., Zhuge Y., 1996. Free Vibration Analysis of Beams on Elastic Foundation. Computers & Structures, 60(6), 971-980.
- 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.
Ayrıntılar
Birincil Dil
İngilizce
Konular
Mühendislik
Bölüm
Araştırma Makalesi
Yayımlanma Tarihi
30 Kasım 2019
Gönderilme Tarihi
2 Aralık 2018
Kabul Tarihi
28 Ağustos 2019
Yayımlandığı Sayı
Yıl 2019 Cilt: 2 Sayı: 2
Cited By
Analysis of Beam Vibrations on Partial Elastic Foundation Using Adomian Decomposition Method
Kocaeli Journal of Science and Engineering
https://doi.org/10.34088/kojose.491345Kısmen Elastik Zemin Üzerindeki Kiriş Titreşiminin Yarı Analitik ve Nümerik Yöntemler ile İncelenmesi
Iğdır Üniversitesi Fen Bilimleri Enstitüsü Dergisi
https://doi.org/10.21597/jist.722522