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Çatlaklı dairesel eğri kompozit kirişlerin titreşim analizleri

Year 2018, Volume: 33 Issue: 3, 783 - 792, 14.08.2018
https://doi.org/10.17341/gazimmfd.416380

Abstract

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.

References

  • 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.
Year 2018, Volume: 33 Issue: 3, 783 - 792, 14.08.2018
https://doi.org/10.17341/gazimmfd.416380

Abstract

References

  • 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.
There are 25 citations in total.

Details

Journal Section Makaleler
Authors

Taylan Memik Daş

Ayşe Yılmaz This is me

Publication Date August 14, 2018
Submission Date December 14, 2016
Published in Issue Year 2018 Volume: 33 Issue: 3

Cite

APA Daş, T. M., & Yılmaz, A. (2018). Çatlaklı dairesel eğri kompozit kirişlerin titreşim analizleri. Gazi Üniversitesi Mühendislik Mimarlık Fakültesi Dergisi, 33(3), 783-792. https://doi.org/10.17341/gazimmfd.416380
AMA Daş TM, Yılmaz A. Çatlaklı dairesel eğri kompozit kirişlerin titreşim analizleri. GUMMFD. August 2018;33(3):783-792. doi:10.17341/gazimmfd.416380
Chicago Daş, Taylan Memik, and Ayşe Yılmaz. “Çatlaklı Dairesel eğri Kompozit kirişlerin titreşim Analizleri”. Gazi Üniversitesi Mühendislik Mimarlık Fakültesi Dergisi 33, no. 3 (August 2018): 783-92. https://doi.org/10.17341/gazimmfd.416380.
EndNote Daş TM, Yılmaz A (August 1, 2018) Çatlaklı dairesel eğri kompozit kirişlerin titreşim analizleri. Gazi Üniversitesi Mühendislik Mimarlık Fakültesi Dergisi 33 3 783–792.
IEEE T. M. Daş and A. Yılmaz, “Çatlaklı dairesel eğri kompozit kirişlerin titreşim analizleri”, GUMMFD, vol. 33, no. 3, pp. 783–792, 2018, doi: 10.17341/gazimmfd.416380.
ISNAD Daş, Taylan Memik - Yılmaz, Ayşe. “Çatlaklı Dairesel eğri Kompozit kirişlerin titreşim Analizleri”. Gazi Üniversitesi Mühendislik Mimarlık Fakültesi Dergisi 33/3 (August 2018), 783-792. https://doi.org/10.17341/gazimmfd.416380.
JAMA Daş TM, Yılmaz A. Çatlaklı dairesel eğri kompozit kirişlerin titreşim analizleri. GUMMFD. 2018;33:783–792.
MLA Daş, Taylan Memik and Ayşe Yılmaz. “Çatlaklı Dairesel eğri Kompozit kirişlerin titreşim Analizleri”. Gazi Üniversitesi Mühendislik Mimarlık Fakültesi Dergisi, vol. 33, no. 3, 2018, pp. 783-92, doi:10.17341/gazimmfd.416380.
Vancouver Daş TM, Yılmaz A. Çatlaklı dairesel eğri kompozit kirişlerin titreşim analizleri. GUMMFD. 2018;33(3):783-92.