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Journals / Gazi University Journal of Science / 2018 / Cilt: 31 - Sayı: 4

Forced Vibration Analysis of Warping Considered Curved Composite Beams Resting on Viscoelastic Foundation

Akif KUTLU
Nihal ERATLI
Ümit N. ARIBAŞ
Mehmet H. OMURTAG
Merve ERMİŞ
Pages
1093–1105
Publication Date
2022-10-19
DOI
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AI Summary & Key Takeaways

AI Insight
⚡ TL;DR(Too Long; Didn't Read)

After the verification of the algorithms, asbenchmark examples, curved composite beams on rocking considered viscoelastic Pasternakfoundation are solved.

📌 3 Key Takeaways

🎯
Objective & Hypothesis:The forced vibration analysis of warping considered curved composite Timoshenko beamsresting on viscoelastic foundation is investigated via the mixed finite element method.
📊
Key Findings & Data:Two nodded curvedelement has 12 degrees of freedom.
💡
Conclusion & Impact:After the verification of the algorithms, asbenchmark examples, curved composite beams on rocking considered viscoelastic Pasternakfoundation are solved.
🔬Design:Research Article
📍Scope:Comprehensive Sample
⚙️Variables:Domain Parameters

Abstract

The forced vibration analysis of warping considered curved composite Timoshenko beamsresting on viscoelastic foundation is investigated via the mixed finite element method. Rockingis considered both for Winkler and Pasternak viscoelastic foundations. Two nodded curvedelement has 12 degrees of freedom. Problems are solved in frequency domain via Laplacetransform and modified Durbin’s algorithm is used for back transformation to time domain.Warping considered average torsional rigidities of the composite cross-sections are calculatednumerically by ANSYS and verified by the literature. After the verification of the algorithms, asbenchmark examples, curved composite beams on rocking considered viscoelastic Pasternakfoundation are solved.

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Cite This Article

KUTLU, A., ERATLI, N., ARIBAŞ, Ü. N., OMURTAG, M. H., ERMİŞ, M. (2022). Forced Vibration Analysis of Warping Considered Curved Composite Beams Resting on Viscoelastic Foundation. Gazi University Journal of Science, Cilt: 31 - Sayı: 4, 1093–1105. https://ajindex.com/articles/521412

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References (16)

  1. Herrmann, L.R., “Elastic torsional analysis of irregular shapes”, Journal of the Engineering Mechanics Division, 91: 11-19, (1965).
  2. Krahula, J.L., Lauterbach, G.F., “A finite element solution for Saint-Venant torsion”, AIAA Journal, 7: 2200-2203, (1969).
  3. Lamancusa, J.S., Saravanos, D.A., “The torsional analysis of bars with hollow square cross-sections”, Finite Element in Analysis and Design, 6: 71-79, (1989).
  4. Li, Z., Ko, J.M., Ni, Y.Q., “Torsional rigidity of reinforced concrete bars with arbitrary sectional shape”, Finite Elements in Analysis and Design, 35: 349-361, (2000).
  5. Darılmaz, K., Orakdogen, E., Girgin, K., Küçükarslan, S., “Torsional rigidity of arbitrarily shaped composite sections by hybrid finite element approach”, Steel and Composite Structures, 7: 241-251, (2007).
  6. Eratlı, N., Yılmaz, M., Darılmaz, K., Omurtag, M.H., “Dynamic analysis of helicoidal bars with noncircular cross-sections via mixed FEM”, Structural Engineering and Mechanics, 57: 221-238, (2016).
  7. Zienkiewicz, O.C., Cheung, Y.K., “Finite elements in the solution of field problems”, The Engineer, 220: 507-510, (1965).
  8. Moan, T., “Finite element stress field solution of the problem of Saint-Venant torsion”, International Journal for Numerical Methods in Engineering, 5: 455-458, (1973).
  9. Valliappan, S., Pulmano, V.A., “Torsion of nonhomogeneous anisotropic bars”, Journal of the Structural Division, 100: 286-295, (1974).
  10. Yamada, Y., Nakagiri, S., Takatsuka, K., “Elastic-plastic analysis of Saint-Venant torsion problem by a hybrid stress model”, International Journal for Numerical Methods in Engineering, 5(2): 193- 207, (1972).
  11. Noor, A.K., Andersen, C.M., “Mixed isoparametric elements for Saint-Venant torsion”, Computer Methods Applied Mechanics and Engineering, 6: 195-218, (1975).
  12. Xiao, Q., Karihaloo, B., Li, Z., Williams, F., “An improved hybrid-stress element approach to torsion of shafts”, Computers & Structures, 71: 535-563, (1999).
  13. Nouri, T., Gay, D., “Shear stresses in orthotropic composite beams”, International Journal of Engineering Science, 32: 1647-1667, (1994).
  14. Sapountzakis, E.J., “Nonuniform torsion of multi-material composite bars by the boundary element method”, Computers & Structures, 79: 2805-2816, (2001).
  15. Sapountzakis, E.J., Mokos, V.G., “Warping shear stresses in nonuniform torsion of composite bars by BEM”, Computer Methods in Applied Mechanics and Engineering, 192: 4337-4353, (2003).
  16. Sapountzakis, E.J., Mokos, V.G., “Nonuniform torsion of bars variable cross section”