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Farklı geometrik boşluklu eğri eksenli petek kirişlerin sonlu elemanlar yöntemi ile serbest titreşim analizi

Year 2023, Volume: 13 Issue: 4, 1019 - 1032, 15.10.2023
https://doi.org/10.17714/gumusfenbil.1262258

Abstract

Gövdesinde boşluk bulunan eğri eksenli petek kirişler, daha az çelik malzeme ile daha yüksek mukavemet sağlamaları, dolayısı ile tasarımcıya daha ekonomik bir çözüm yolu sunmaları bakımından tercih edilmektedir. Günümüzde havaalanları, stadyumlar vb. yapı türlerinde sıklıkla rastlayabileceğimiz eğri eksenli petek kirişlerde, farklı geometrik şekillerde boşluk tipleri kullanılabilmektedir. Yapılan çalışmada, gövdesinde farklı geometrik boşluklar bulunan eğri eksenli petek kirişlerin düzlem içi serbest titreşimi üç boyutlu sonlu elemanlar yöntemi kullanılarak incelenmiştir. Gövde boşluk geometrisinin petek kirişlerin serbest titreşim analizi yardımı ile genlik ve frekans değerlerine etkisi detaylı bir şekilde araştırılmıştır. Bu amaçla yapılan modal analizlerde, daire, kare, beşgen ve altıgen olmak üzere 4 farklı türde gövde boşluk tipi dikkate alınmıştır Modellemelerde IPE220, IPE240 ve IPE300 profilleri tercih edilmiş olup 10 düğümlü tetrahedral tipi sonlu eleman modeli kullanılarak analizler gerçekleştirilmiştir. Çalışmada kullanılan malzeme, lineer homojen izotropik bir malzeme olup, çeliğin mekaniksel özellikleri dikkate alınmıştır. Çalışma kapsamında ele alınan profillerin uç mesnetlenme koşulları, ankastre - ankastre, ankastre - sabit ve ankastre - serbest olarak planlanmış ve söz konusu profillerin her biri bu üç sınır koşulu dikkate alınarak serbest titreşim analizine tabi tutulmuştur. Analizlerden elde edilen sonuçlar IPE220, IPE240 ve IPE300 profillerinden oluşan daire, kare, beşgen ve altıgen boşluklu eğri eksenli petek kirişler için detaylı bir şekilde sunulmuştur. Yapılan tahkikler gövde boşluk tipinin, boşluklu eğri eksenli petek kirişlerin serbest titreşim davranışı üzerinde önemli ölçüde etkili olduğunu göstermektedir.

References

  • Al-Mawashee, H. S., & Al-Kannoon, M. A. A. (2021). Flexural strength of castellated beams with corrugated webs. Journal of Physics: Conference Series, IOP Publishing, 1973(1), 012213.
  • ANSYS, (2022). Inc Release Ansys R2, Canonsburg, PA.
  • Barkiah, I., & Darmawan, A. R. (2021). Comparative analysis of the flexural capacity of conventional steel beams with castellated beams. IOP Conference Series: Earth and Environmental Science, IOP Publishing, 780(1), 012013.
  • Braga, J. J., Linhares, D. A., Cardoso, D. C., & Sotelino, E. D. (2021) Failure mode and strength prediction of laterally braced Litzka-type castellated beams. Journal of Constructional Steel Research, 184, 106796. https://doi.org/10.1016/j.jcsr.2021.106796
  • Doori, S., & Noori, A. R. (2021). Finite Element Approach for the bending analysis of castellated steel beams with various web openings. ALKU Journal of Science, 3(2), 38-49, ISSN: 2667-7814. https://doi.org/10.46740/alku.88318
  • Elaiwi, S., Kim, B., & Li, L. Y. (2017). Bending analysis of continuous castellated beams. The 2017 World Congress on Advances in Structural Engineering and Mechanics (ASEM17), 28, llsan (Seoul), Korea.
  • Jiang, L.Y., Liu, M. X., & Kang, L. Q. (2012). Studies on in-plane stability behavior of arches with web openings. Applied Mechanics and Materials, 193, 1296-1299. https://doi.org/10.4028/www.scientific.net/AMM.193-194.1296
  • Mechanical APDL Element Reference, (2013). Inc 275 Technology Drive, Canonsburg, PA 15317.
  • Mehetre, A. J., & Talikoti, R. S. (2020). Effect of fillet radii on moment carrying capacity of sinusoidal web opening castellated steel beams in comparison with hexagonal web openings. Iranian Journal of Science and Technology, Transactions of Civil Engineering, 44(1), 151-161. https://doi.org/10.1007/s40996-020-00378-w
  • Morkhade, S. G., Lokhande, R. S., Gund, U. D., Divate, A. B., Deosarkar, S. S., & Chavan, M. U. (2020). Structural behaviour of castellated steel beams with reinforced web openings. Asian Journal of Civil Engineering, 21(6), 1067-1078. https://doi.org/10.1007/s42107-020-00262-y
  • Nabil, A., Afefy, H. M., & Kassem, N. M. (2022). Ultimate capacity of reinforced concrete castellated beams subjected to external pre-stressing. Engineering Structures, 250, 113471. https://doi.org/10.1016/j.engstruct.2021.113471
  • Pandey, D., & Rathour, T. S. (2021). Numerical analysis and validation with experimental method of castellated steel beams with hexagonal web opening. International Journal of Research in Engineering, Science and Management, 4(3), 66-69.
  • Pandya, S., & Dhankot, M. (2017). FE analysis of curved castellated girder for variable thermal condition. International Conference on Research and Innovations in Science, Engineering and Technology. Kalpa Publications in Civil Engineering, 1, 192-197.
  • Rajana, K., Tsavdaridis, K. D., & Koltsakis, E. (2020). Elastic and inelastic buckling of steel cellular beams under strong-axis bending. Thin-Walled Structures, 156, 106955. https://doi.org/10.1016/j.tws.2020.106955
  • Singh, S. (2021). Static bending analysis of arbitrary supported steel beams with circular web opening using finite element method. Materials Today: Proceedings, 37, 3700-3705. https://doi.org/10.1016/j.matpr.2020.10.158
  • Subramanian, R., & Jagadeesan, K. (2021). Experimental analysis and study on shear performances of castellated beam chassis under three cases of stiffener. Journal of Engineering Research. https://doi.org/10.36909/jer.11907
  • Weidlich, C. M., Sotelino, E. D., & Cardoso, D. C. (2021). An application of the direct strength method to the design of castellated beams subject to flexure. Engineering Structures, 243, 112646. http://dx.doi.org/10.1016/j.engstruct.2021.112646
  • Zaher, O. F., Yossef, N. M., El-Boghdadi, M. H., & Dabaon, M. A. (2018). Structural behaviour of arched steel beams with cellular openings. Journal of Constructional Steel Research, 148, 756-767. https://doi.org/10.1016/j.jcsr.2018.06.029

Free vibration analysis of curved castellated beams with different geometric web openings by the finite element method

Year 2023, Volume: 13 Issue: 4, 1019 - 1032, 15.10.2023
https://doi.org/10.17714/gumusfenbil.1262258

Abstract

Curved castellated beams with web openings are preferred because they provide higher strength with less steel material, and therefore offer a more economical solution to the designer. Different geometric shapes of the web opening types can be used in the curved castellated beams which can often be seen in airports, stadiums, etc nowadays. This study investigates the in-plane free vibration behavior of curved castellated beams with different geometric web openings using the three-dimensional finite element method. The effect of the web-opening geometrical shapes on the amplitude and natural frequency values of the curved castellated beams is investigated in detail via free vibration analysis. In the modal analysis done for this purpose, 4 different types of web opening types circle, square, pentagon and hexagon are taken into consideration. IPE 220, IPE 240, and IPE300 profiles are preferred in the modeling, and analysis are carried out using a 10-node tetrahedral finite element model. The material used in this study is a linear homogeneous isotropic material, and the mechanical properties of the steel are considered. The end support conditions of the profiles considered within the scope of the study are planned as fixed - fixed, fixed - pinned, and fixed - free supported. Each of the aforementioned profiles is subjected to free vibration analysis considering these three boundary conditions. The results obtained from the analysis are presented in detail for curved castellated beams with circular, square, pentagonal, and hexagonal web openings consisting of IPE 220, IPE 240, and IPE300 profiles. The investigations show that the web opening type has a significant effect on the free vibration behavior of curved castellated beams.

References

  • Al-Mawashee, H. S., & Al-Kannoon, M. A. A. (2021). Flexural strength of castellated beams with corrugated webs. Journal of Physics: Conference Series, IOP Publishing, 1973(1), 012213.
  • ANSYS, (2022). Inc Release Ansys R2, Canonsburg, PA.
  • Barkiah, I., & Darmawan, A. R. (2021). Comparative analysis of the flexural capacity of conventional steel beams with castellated beams. IOP Conference Series: Earth and Environmental Science, IOP Publishing, 780(1), 012013.
  • Braga, J. J., Linhares, D. A., Cardoso, D. C., & Sotelino, E. D. (2021) Failure mode and strength prediction of laterally braced Litzka-type castellated beams. Journal of Constructional Steel Research, 184, 106796. https://doi.org/10.1016/j.jcsr.2021.106796
  • Doori, S., & Noori, A. R. (2021). Finite Element Approach for the bending analysis of castellated steel beams with various web openings. ALKU Journal of Science, 3(2), 38-49, ISSN: 2667-7814. https://doi.org/10.46740/alku.88318
  • Elaiwi, S., Kim, B., & Li, L. Y. (2017). Bending analysis of continuous castellated beams. The 2017 World Congress on Advances in Structural Engineering and Mechanics (ASEM17), 28, llsan (Seoul), Korea.
  • Jiang, L.Y., Liu, M. X., & Kang, L. Q. (2012). Studies on in-plane stability behavior of arches with web openings. Applied Mechanics and Materials, 193, 1296-1299. https://doi.org/10.4028/www.scientific.net/AMM.193-194.1296
  • Mechanical APDL Element Reference, (2013). Inc 275 Technology Drive, Canonsburg, PA 15317.
  • Mehetre, A. J., & Talikoti, R. S. (2020). Effect of fillet radii on moment carrying capacity of sinusoidal web opening castellated steel beams in comparison with hexagonal web openings. Iranian Journal of Science and Technology, Transactions of Civil Engineering, 44(1), 151-161. https://doi.org/10.1007/s40996-020-00378-w
  • Morkhade, S. G., Lokhande, R. S., Gund, U. D., Divate, A. B., Deosarkar, S. S., & Chavan, M. U. (2020). Structural behaviour of castellated steel beams with reinforced web openings. Asian Journal of Civil Engineering, 21(6), 1067-1078. https://doi.org/10.1007/s42107-020-00262-y
  • Nabil, A., Afefy, H. M., & Kassem, N. M. (2022). Ultimate capacity of reinforced concrete castellated beams subjected to external pre-stressing. Engineering Structures, 250, 113471. https://doi.org/10.1016/j.engstruct.2021.113471
  • Pandey, D., & Rathour, T. S. (2021). Numerical analysis and validation with experimental method of castellated steel beams with hexagonal web opening. International Journal of Research in Engineering, Science and Management, 4(3), 66-69.
  • Pandya, S., & Dhankot, M. (2017). FE analysis of curved castellated girder for variable thermal condition. International Conference on Research and Innovations in Science, Engineering and Technology. Kalpa Publications in Civil Engineering, 1, 192-197.
  • Rajana, K., Tsavdaridis, K. D., & Koltsakis, E. (2020). Elastic and inelastic buckling of steel cellular beams under strong-axis bending. Thin-Walled Structures, 156, 106955. https://doi.org/10.1016/j.tws.2020.106955
  • Singh, S. (2021). Static bending analysis of arbitrary supported steel beams with circular web opening using finite element method. Materials Today: Proceedings, 37, 3700-3705. https://doi.org/10.1016/j.matpr.2020.10.158
  • Subramanian, R., & Jagadeesan, K. (2021). Experimental analysis and study on shear performances of castellated beam chassis under three cases of stiffener. Journal of Engineering Research. https://doi.org/10.36909/jer.11907
  • Weidlich, C. M., Sotelino, E. D., & Cardoso, D. C. (2021). An application of the direct strength method to the design of castellated beams subject to flexure. Engineering Structures, 243, 112646. http://dx.doi.org/10.1016/j.engstruct.2021.112646
  • Zaher, O. F., Yossef, N. M., El-Boghdadi, M. H., & Dabaon, M. A. (2018). Structural behaviour of arched steel beams with cellular openings. Journal of Constructional Steel Research, 148, 756-767. https://doi.org/10.1016/j.jcsr.2018.06.029
There are 18 citations in total.

Details

Primary Language Turkish
Subjects Engineering
Journal Section Articles
Authors

Duygu Ertürkmen 0000-0002-7073-6465

Ahmad Reshad Noorı 0000-0001-6232-6303

Publication Date October 15, 2023
Submission Date March 8, 2023
Acceptance Date September 11, 2023
Published in Issue Year 2023 Volume: 13 Issue: 4

Cite

APA Ertürkmen, D., & Noorı, A. R. (2023). Farklı geometrik boşluklu eğri eksenli petek kirişlerin sonlu elemanlar yöntemi ile serbest titreşim analizi. Gümüşhane Üniversitesi Fen Bilimleri Dergisi, 13(4), 1019-1032. https://doi.org/10.17714/gumusfenbil.1262258