Research Article

Static Analysis Of Viscoelastic Beams Through Finite Element Method

Volume: 21 Number: 2 December 31, 2008
Hakan Erol , H.selim Sengel , M. Tacettin Sarıoğlu
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Journal of Engineering and Architecture Faculty of Eskisehir Osmangazi University Cover Journal of Engineering and Architecture Faculty of Eskisehir Osmangazi University
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Static Analysis Of Viscoelastic Beams Through Finite Element Method

Öz

This study focuses on straight beams by taking viscoelastic behavior of material. Time-dependent behavior of the material is stated with the help of Prony series. A constant poisson ratio has been used. Constitution equations for beam are combined in one function with Hamilton Principle, and Laplace transformation is used to free it from time parameter. Finite element formulation is formed with linear shape functions. While integral operation of equations with a shear effect is executed with reduced integration method, integral operations of others are executed with full integration method. Following these analyses, results are obtained by using  everse Laplace Transformation method developed by Honig and Hirdes.


Anahtar Kelimeler

Viscoelastic Beam,Finite Element,Timoshenko Beam,Laplace Transform

References

  1. [1] W. Flügge, “Viscoelasticity”, 2nd ed., Springer, Berlin, 1975.
  2. [2] A. C. Eringen, “Mecanics of Continua”, Robert E. Krieger Publishing Company, New York, 1980, pp. 592.
  3. [3] J.N. Reddy, “An Introduction To The Finite Element Method”, Second Edition, McGraw Hill International Editions, 1993, pp.3-13.
  4. [4] A.R. Zak, “Structural Analysis Of Realistic Solid Propellant Materials”, Journal of Spacecrafi Rockets, Vol. 5, 1986, pp. 270-275.
  5. [5] B. Uyan, “Çözümlü Problemlerle Diferansiyel Denklemler, Fourier Serileri, Laplace Transformasyonu”, Đstanbul 1980 (In Turkish).
  6. [6] E. Hinton, Owen, D.R.J., “An Introduction To Finite Element Computations”, Pineridge Press Swansea UK., 1979, pp. 140-147.
  7. [7] H. Erol, “Viskoelastik Kirislerin Sonlu Elemanlar Metodu ile Çözümü”, Master Thesis, Eskisehir, 1999 (In Turkish).
  8. [8] H.T. Chen, Chen, T.M., Chen, C.k., “Hybrid Laplace Transform/Finite Element For One- Dimensional Transient Heat Conduction Problems”, Computer Method In Applied Mechanics And Engineering, Vol.63, 1987, pp.83-95.
  9. [9] G. Honig, Hirdes, U., “A Method For The Numerical Inversion Of Laplace Transform”, Journal of Computational And Applied Mathematics, Vol. 10, 1984, pp.113-132.
  10. [10] C.L. Dym, Shames I.H., “Solid Mechanics A Variational Approach”, McGraw-Hill, New York, 1973.

Details

Primary Language

Turkish

Subjects

Civil Engineering

Journal Section

Research Article

Authors

H.selim Sengel This is me

M. Tacettin Sarıoğlu This is me

Publication Date

December 31, 2008

Submission Date

July 2, 2017

Acceptance Date

May 12, 2008

Published in Issue

Year 1970 Volume: 21 Number: 2

IZ

https://izlik.org/JA26UH32TP

Cite

RIS / Bibtex
APA
Erol, H., Sengel, H., & Sarıoğlu, M. T. (2008). Static Analysis Of Viscoelastic Beams Through Finite Element Method. Eskişehir Osmangazi Üniversitesi Mühendislik Ve Mimarlık Fakültesi Dergisi, 21(2), 85-100. https://izlik.org/JA26UH32TP
AMA
1.Erol H, Sengel H, Sarıoğlu MT. Static Analysis Of Viscoelastic Beams Through Finite Element Method. Eskişehir Osmangazi Üniversitesi Mühendislik ve Mimarlık Fakültesi Dergisi. 2008;21(2):85-100. https://izlik.org/JA26UH32TP
Chicago
Erol, Hakan, H.selim Sengel, and M. Tacettin Sarıoğlu. 2008. “Static Analysis Of Viscoelastic Beams Through Finite Element Method”. Eskişehir Osmangazi Üniversitesi Mühendislik Ve Mimarlık Fakültesi Dergisi 21 (2): 85-100. https://izlik.org/JA26UH32TP.
EndNote
Erol H, Sengel H, Sarıoğlu MT (December 1, 2008) Static Analysis Of Viscoelastic Beams Through Finite Element Method. Eskişehir Osmangazi Üniversitesi Mühendislik ve Mimarlık Fakültesi Dergisi 21 2 85–100.
IEEE
[1]H. Erol, H. Sengel, and M. T. Sarıoğlu, “Static Analysis Of Viscoelastic Beams Through Finite Element Method”, Eskişehir Osmangazi Üniversitesi Mühendislik ve Mimarlık Fakültesi Dergisi, vol. 21, no. 2, pp. 85–100, Dec. 2008, [Online]. Available: https://izlik.org/JA26UH32TP
ISNAD
Erol, Hakan - Sengel, H.selim - Sarıoğlu, M. Tacettin. “Static Analysis Of Viscoelastic Beams Through Finite Element Method”. Eskişehir Osmangazi Üniversitesi Mühendislik ve Mimarlık Fakültesi Dergisi 21/2 (December 1, 2008): 85-100. https://izlik.org/JA26UH32TP.
JAMA
1.Erol H, Sengel H, Sarıoğlu MT. Static Analysis Of Viscoelastic Beams Through Finite Element Method. Eskişehir Osmangazi Üniversitesi Mühendislik ve Mimarlık Fakültesi Dergisi. 2008;21:85–100.
MLA
Erol, Hakan, et al. “Static Analysis Of Viscoelastic Beams Through Finite Element Method”. Eskişehir Osmangazi Üniversitesi Mühendislik Ve Mimarlık Fakültesi Dergisi, vol. 21, no. 2, Dec. 2008, pp. 85-100, https://izlik.org/JA26UH32TP.
Vancouver
1.Hakan Erol, H.selim Sengel, M. Tacettin Sarıoğlu. Static Analysis Of Viscoelastic Beams Through Finite Element Method. Eskişehir Osmangazi Üniversitesi Mühendislik ve Mimarlık Fakültesi Dergisi [Internet]. 2008 Dec. 1;21(2):85-100. Available from: https://izlik.org/JA26UH32TP

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