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Solution of Eigenvalue Problem of Timoshenko Beam on Elastic Foundation by Differential Transform Method and Transfer Matrix Method

Year 2012, Volume: 2 Issue: 1, 49 - 70, 01.06.2012

Abstract

References

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  • Chen C.N., Journal of Engineering Mechanics,(1998), 124, p.1381-1384.
  • Chen Y.H., Huang Y.H., International Journal for Numerical Methods in Engineering (2000), 48, p.1-18.
  • Karami G., Malekzadeh P., Shahpari S.A., Engineering Structures,(2003), ,p.1169-1178.
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  • Hsu M.H., Computuer Methods in Applied Mechanics Engineering, (2005), 194, p.1-17.
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  • Chen C.K., Ho S.H., (1996), Journal of Applied Mathematics and Computation, , p.173-188.
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  • Hsieh S.C., Chen J.H., Lee A.C., Journal of Sound and Vibration, (2006), 209, p.294-333.
  • Yesilce Y., Catal HH., International Journal of Structural Stability and Dynamics (2008), 8(2), p.299-320.
  • Yesilce Y., Structural Engineering and Mechanic, (2010),35(5), p.645-658.
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Solution of Eigenvalue Problem of Timoshenko Beam on Elastic Foundation by Differential Transform Method and Transfer Matrix Method

Year 2012, Volume: 2 Issue: 1, 49 - 70, 01.06.2012

Abstract

Bu çalışmada, iki farklı elastik zemine oturan, iki ucu basit mesnetli, Timoshenko kirişinin serbest titreşimine ait hareket denklemi P- etkileri altında elde edilmiştir. Elastik zemine oturan Timoshenko kirişinin temel frekansları olan özdeğerler ve bu özdeğerlere bağlı frekans faktörleri iki farklı yöntem kullanılarak hesaplanmıştır. Timoshenko kirişinin serbest titreşim denklemleri, sırasıyla diferansiyel dönüşüm yöntemi (DTM) ve taşıma matrisi yöntemi (TMM) kullanılarak çözülmüştür. İki farklı zemin bölgesindeki kirişin uzunluk oranları, zemin yatak katsayısı ve eksenel kuvvet oranları bağlı olarak her iki yöntemle elde edilen frekans faktör değerleri tablolarda sunulmuştur

References

  • Yokoyoma Y., Earthquake Engineering and Structure Dynamics, (1991), 20, p.355-370.
  • Doyl, P.F., Pavlovic M.N., Engineering and Structural Dynamics, (1982), 10, p.663-674.
  • Chen C.N., Journal of Engineering Mechanics,(1998), 124, p.1381-1384.
  • Chen Y.H., Huang Y.H., International Journal for Numerical Methods in Engineering (2000), 48, p.1-18.
  • Karami G., Malekzadeh P., Shahpari S.A., Engineering Structures,(2003), ,p.1169-1178.
  • Catal H.H., Engineering Structures (2002), 24, p.1615-1622.
  • Hsu M.H., Computuer Methods in Applied Mechanics Engineering, (2005), 194, p.1-17.
  • Kim N.I., Lee J.H., Kim M.Y., Advances in Engineering Software (2005), 36, p.518-532.
  • Avramidis I.E., Morfidis K., International Journal of Solid and Structures, (2005),43, p.357-375.
  • Zhou J.K., (1986), Differential transformation and its applications for electrical circuits, Wuhan China, Huazhong University Press.
  • Jang M.J., Chen C.L., Applied Mathematics and Computation, (1997), 88, p.137
  • Malik M., Dang, H.H., Applied Mathematics and Computation (1998),96, p.17
  • Chen C.K., Ho S.H., (1996), Journal of Applied Mathematics and Computation, , p.173-188.
  • Özdemir Ö., Kaya M.O., Journal of Sound on Vibration,(2006), 289, p.413-420.
  • Kaya M.O, Ozgumus O.O., Journal of Sound and Vibration, (2007), 306, p.495
  • Ruotolo R., Surace C., Journal of Sound and Vibration, (2004), 272, p.301-316.
  • Hosking R.J., Husain S.A., Milinazzo F., Journal of sound and Vibration (2004), , p.169-185.
  • Hsieh S.C., Chen J.H., Lee A.C., Journal of Sound and Vibration, (2006), 209, p.294-333.
  • Yesilce Y., Catal HH., International Journal of Structural Stability and Dynamics (2008), 8(2), p.299-320.
  • Yesilce Y., Structural Engineering and Mechanic, (2010),35(5), p.645-658.
  • Demirdag O., Yesilce Y., Advances in Engineering Software (2011), 42(10), p.860-867.
  • Zhou D., Ji T., International Journal of Solid and Structures, (2006), 43, p.5555
There are 22 citations in total.

Details

Primary Language Turkish
Journal Section Review Articles
Authors

S. Çatal This is me

O. Demirdağ This is me

Publication Date June 1, 2012
Submission Date March 1, 2015
Published in Issue Year 2012 Volume: 2 Issue: 1

Cite

APA Çatal, S., & Demirdağ, O. (2012). Solution of Eigenvalue Problem of Timoshenko Beam on Elastic Foundation by Differential Transform Method and Transfer Matrix Method. Ordu Üniversitesi Bilim Ve Teknoloji Dergisi, 2(1), 49-70.