Çatlaklı dairesel eğri kompozit kirişlerin titreşim analizleri

Taylan Memik Daş, Ayşe Yılmaz
637 91

Öz


Bu çalışmada çatlaklı, çelik ve kompozit olmak üzere iki farklı malzemeden yapılmış olan dairesel eğri kirişlerin düzlem içi titreşimleri ANSYS’de sonlu elemanlar yöntemi kullanılarak hesaplanmıştır. İncelenen kiriş, Rayleigh-Ritz kirişi olarak ele alınıp kiriş üzerinde farklı konum ve derinlikteki çatlakların doğal frekanslarındaki değişim değerlendirilmiştir. Çalışma sırasında kiriş, konsol (Ank-Ser) ve iki ucu sabit (Ank-Ank) mesnetli bağlantı şekilleri ile tutturulmuştur. Farklı konumlarda ki çatlak ve çatlakların değişen derinliklerinde ilk üç moddaki doğal frekans değerlerinin beklendiği gibi değiştiği gözlemlenmiştir.

Anahtar kelimeler


Eğri kompozit kiriş, çatlak, doğal frekans

Tam metin:

PDF


Referanslar


M. Karthikeyan, R. Tiwari, S. Talukdar , “Crack localization and sizing in a beam based on the free and forced response measurements”. Mechanical Systems and Signal Processing, 21 (2007). pp. 1362–1385

Sutar, M.K., "Finite element analysis of a cracked cantilever beam."International Journal of Advanced Engineering Research and Studies, 1.2 (2012): 285-289.

Raveendranath P., Singh G., Pradhan B., “Free vibration of arches using a curved beam element based on a coupled polynomial displacement field”, Computers and Structures, 78, 2000, 583-590.

Oh S.J., Lee B.K., Lee I.W., “Free vibrations of non-circular arches with non-uniform cross-section”, International Journal of Solids and Structures, 37, 2000, 4871-4891.

Chondros T.G., Dimarogonas A.D., and Yao J., “A continuous cracked beam vibration theory”, Journal of Sound and Vibration, 215(1), 1998, 17-34.

Kisa M., Brandon J., Topçu M., “Free vibration analysis of cracked beams by a combination of finite elements and component mode synthesis methods”, Computers and Structures, 67, 1998, 215-223.

Fernández-Sáez J., Rubio L. and Navarro C., “Approximate calculation of the fundamental frequency for bending vibrations of cracked beams”, Journal of Sound and Vibration, 225(2), 1999, 345-352.

Bovsunovsky A.P. and Matveev V.V., “Analytical approach to the determinatıon of dynamic characteristicsof a beam with a closing crack”, Journal of Sound and Vibration, 235(3), 2000, 415-434.

Khiem N.T. and Lien T.V., “A simplified method for natural frequency analysis of a multiple cracked beam”, Journal of Sound and Vibration, 245(4), 2001, 737-751.

Saavedra P.N., Cuitino L.A., “Crack detection and vibration behavior of cracked beams”, Computers and Structures, 79, 2001, 1451-1459.

Zheng D.Y., Kessissoglou N.J., “Free vibration analysis of a cracked beam by finite element method”, Journal of Sound and Vibration, 273, 2004, 457–475.

Krawczuk M., Ostachowicz W.M., “Natural vibrations of a clamped–clamped arch with an open transverse crack”, Journal of Vibration and Acoustics, 119, 1997, 145–151.

Cerria M.N., Rutab G.C., “Detection of localised damage in plane circular arches by frequency data”, Journal of Sound and Vibration, 270, 2004, 39–59.

Nobile L., “Mixed mode crack growth in curved beams with radial edge crack”, Theoretical and Applied Fracture Mechanics, 36, 2001, 61-72.

Gdoutos E.E., Fracture Mechanics, 79-91 ve 53-56. Dordrecht: Kluwer Academic Publishers 1993.

Yang X.F., Swamidas, A.S.J. and Seshadri R., “Crack identification in vibrating beams using the energy method”, Journal of Sound and Vibration, 244(2), 2001, 339-357.

Özyiğit H.A., Tekelioğlu M. and Öz H.R., "Linear forced in-plane and out-of-plane vibrations of frames having a curved member", Mathematical and Computational Applications, Vol. 9, No. 3, 2004 pp. 371-380

Petyt M., Introduction to finite element vibration analysis, Cambridge University Press, U.K., 1990.

Öz H. R. and Daş M. T. “In-Plane Vibrations Of Circular Curved Beams With A Transverse Open Crack”, Mathematical and Computational Applications, Vol. 11, No. 1, 2006 pp. 1-10.

Öz H. R. and Daş M. T. “Çatlak Eğri Kirişlerin Titreşimi”, 12.Ulusal Makine Teorisi Sempozyumu Bil. Kit., 113-120, Kayseri, Türkiye.

Orhan S. “Analysis of free and forced vibration of a cracked cantilever beam”, NDT&E International, 40 (2007). pp. 443–450

Gültop T., Yılmaz C.M ve Alyavuz B. “An Analytical Investigation Of Rigid Plastic Beams Under Impact Loading”, Journal of the Faculty of Engineering and Architecture of Gazi University, Vol 30, No 1, 87-94, 2015.

Toygar E., Kıral Z. Sayman O., Arman Y. ve Özen M. “Effect of interface on lateral buckling behavior and free vibrtion response composite of sandwich composite beam” Journal of Composite Material , SAGE(2012).

Okutan B.B. “Free Vibration Analysis of Curved Sandwich Beams with Face/Core Debond Using Theory and Experiment” Mechanics of Advanced Materials and Structures, 2012 .

Yang, X. F., A. S. J. Swamidas, and R. Seshadri. "Crack identification in vibrating beams using the energy method." Journal of Sound and Vibration, 244.2 (2001): 339-357.




Creative Commons License
This work is licensed under a Creative Commons Attribution 4.0 License.