Çatlaklı ankastre sandviç kirişlerin serbest titreşim analizi

Öz

Bu çalışmada bir ucu ankastre diğer ucu serbest olan kompozit sandviç kirişlerin serbest titreşimi incelenmiştir. Çatlaklı ve çatlaksız halde sandviç kirişin doğal frekanslarının doğrulanması analitik ve ANSYS yazılım programı ile sağlandıktan sonra daha hızlı çözüm elde etmek adına analizler ANSYS programı ile gerçekleştirilmiştir. Çalışmada U ve V çatlak yapısının doğal frekans değerleri üzerindeki etkisi farklı çatlak konumlarında, farklı çatlak derinliklerinde ve farklı çatlak genişlikleri için incelenmiştir. Çalışmada 3 ve 5 tabakalı sandviç kirişler incelenmiştir. İncelenen bu parametrelerin kirişin doğal frekans değerlerini önemli ölçüde etkilediği gözlemlenmiştir.

Anahtar Kelimeler

• Çatlak
• Serbest titreşim
• Kompozit sandviç kiriş
• ANSYS

Free vibration analysis of cracked cantilever sandwich beams

Abstract

In this study, the free vibration of composite sandwich beams, one end of which is fixed and the other end is free, was investigated. The verification of the natural frequencies of the sandwich beam with and without cracks was provided with analytical and ANSYS software. The analyses were carried out with the ANSYS program in order to obtain a faster solution. In the study, the effect of U and V crack structures on natural frequency values was investigated for different crack locations, crack depths, and different crack widths. In the study, 3-layer and 5-layer sandwich beams were examined. It has been observed that these investigated parameters significantly affect the natural frequency values of the beam.

Keywords

• Crack
• Free vibration
• Composite sandwich beam
• ANSYS

Kaynakça

1. I. Negru, G. R. Gillich, Z. I. Praisach, M. Tufoi and N. Gillich, Natural frequency changes due to damage in composite beams. Journal of Physics Conference Series, 628 (1), 012091, 2015. https://doi.org/ 10.1088/1742-6596/628/1/012091.
2. M. Tam, Z. Yang, S. Zhao and J. Yang, Vibration and buckling characteristics of functionally graded graphene nanoplatelets reinforced composite beams with open edge cracks. Materials, 12 (9), 1412, 2019. https://doi.org/10.3390/ma12091412.
3. Y. Cunedioğlu and S. Shabani, Free vibration analysis of a single edge cracked symmetric functionally graded stepped beams. Advances in Structural Engineering, 23, 16, 1-14, 2020. https://doi.org/ 10.1177/1369433220939214.
4. A. Shahdin, J. Morlier, L. Mezeix, C. Bouvet and Y. Gourinat, Evaluation of the impact resistance of various composite sandwich beams by vibration tests. Shock and Vibration, 18, 789-805, 2011. https://doi.org/10.1155/2011/259295.
5. S. Shabani and Y. Cunedioğlu, Free vibration analysis of cracked functionally graded non-uniform beams. 7, 015707, 2020. https://doi.org/10.1088/2053-1591/ab6ad1.
6. S. Samborski, J. Wieczorkıewıcz and R. Rusinek, A numerical-experimental study on damaged beams dynamics. Eksploatacja i Niezawodnocs- Maintenance and Reliability, 17 (4), 624-631, 2015. https://doi.org/10.17531/ein.2015.4.20.
7. G. R. Gillich, Z. I. Praisach, M. A. Wahab and O. Vasile, Localization of transversal cracks in sandwich beams and evaluation of their severity. Shock and Vibration, 2014 (3-4), 607125, 2014. https://doi.org/10.1155/2014/607125.
8. E. F. Erdurcan and Y. Cunedioğlu, Free vibration analysis of an aluminum beam coated with imperfect and damaged functionally graded material. Archive of Applied Mechanics 91, 1729-1737, 2021. https://doi.org/10.1007/s00419-020-01850-9.

9. M. T. Das and A. Yılmaz, Vibration analysis of a cracked circular curved beams. Journal of the Faculty of Engineering and Architecture of Gazi University, 33 (3), 783-791, 2018. https://doi.org/10.17341/ gazimmfd.416380.
10. N. A. Meshram and V. S. Pawar, Analysis of crack detection of a cantilever beam using finite element analysis. International Journal of Engineering and Technical Research, 4 (4), 713-718, 2015. https://doi.org/10.17577/ijertv4is041005.
11. M. E. Toygar, Z. Kıral, O. Sayman, Y. Arman and M. Özen, Effect of interface crack on lateral buckling behavior and free vibration response of a sandwich composite beam. Journal of Composite Materials, 47 (15), 1843-1851, 2012. https://doi.org/ 10.1177/0021998312451611.
12. M. Turan ve V. Kahya, Fonksiyonel derecelendirilmiş kirişlerin serbest titreşim analizi, Karadeniz Fen Bilimleri Dergisi, 8 (2), 119-130, 2018. https://doi.org/10.31466/kfbd.453833.
13. T. A. Aslan, A. R. Noori ve B. Temel, Birinci mertebe kayma deformasyon teorisine dayalı FD düz eksenli kirişlerin serbest titreşim analizi, Çukurova Üniversitesi Mühendislik Mimarlık Fakültesi Dergisi, 34 (4), 21-28, 2019. https://doi.org/10.21605/ cukurovaummfd.702032.
14. T. A. Aslan, A. R. Noori ve B. Temel, Çift yönlü fonksiyonel derecelenmiş malzemeli Timoshenko kirişlerinin serbest titreşim analizi, Ömer Halisdemir Üniversitesi Mühendislik Bilimleri Dergisi, 8 (3), 30-36, 2019. https://doi.org/10.28948/ngumuh.621183.
15. H. D. Katı ve H. Gökdağ, Multi-step diferansiyel transform metodu ile uç kütle eklentili kirişlerin serbest titreşim analizi, Gazi Üniversitesi Mühendislik Mimarlık Fakültesi Dergisi, 34 (4), 1679-1693, 2019. https://doi.org/10.17341/gazimmfd.571480.
16. O. Sayman, M. E. Toygar, Z. Kıral and B. G. Kıral, Effect of the root crack on natural frequencies of sandwich composite beams, Pamukkale University Journal of Engineering Science, 19 (7), 298-302, 2013. https://doi.org/10.5505/pajes.2013.96168.
17. Ş. D. Akbaş, Post-buckling analysis of a fiber reinforced composite beam with crack, Engineering Fracture Mechanics, 212 (1), 70-80, 2019. https://doi.org/10.1016/j.engfracmech.2019.03.007.
18. S. Shabani and Y. Cunedioglu, Free vibration analysis of functionally graded beams with cracks, Journal of Applied and Computational Mechanics, 6 (4), 908-918, 2020. https://doi.org/10.22055/jacm.2019.30065.1672.
19. C. Boga, Numerical and theoretical analysis of free vibration of a multi-cracked cantilever beam with rectangular cross section, International Journal of Scientific and Technological Research, 5 (3), 2019. https://doi.org/10.7176/jstr/5-3-20.