Araştırma Makalesi
BibTex RIS Kaynak Göster

KAYMA EV GENIŞ MESNET ETKISINDEKI ÇUBUKLARIN GELIŞTIRILMIŞ RIJITLIK MATRISLERI IÇIN ANALITIK VE DENEYSEL BIR YAKLAŞIM

Yıl 2019, Cilt: 6 Sayı: 10, 32 - 46, 14.06.2019

Yaşar Ayaz Ahmet Budak

Öz

Bu
çalışmada, aynı anda hem kayma ve hem geniş mesnet etkisindeki çerçeveler
analitik, nümerik ve deneysel olarak incelenmiştir. Analitik çözüm için matris
deplasman yöntemi, sayısal çözüm için sonlu elemanlar yöntemi kullanılmıştır.
Hem kayma etkisi hem de geniş mesnet etkisini içeren rijitlik matrisi için açık
denklemler ortaya konmuştur. Bunun için bir model çerçeve deneysel olarak test
edildi ve maksimum çökme değeri elde edildi. Aynı çerçeve sonlu elemanlar
yöntemi ile modellenerek ve ayrıca önerilen yöntem ile de çözüldü. Üç yöntemin
sonuçları karşılaştırıldı. Önerilen yöntem başarıyla doğrulandı. Hem kayma hem
de geniş destek etkilerini içeren önerilen yöntem sonuçlarının, deneysel
sonuçlara ve sonlu elemanlar yöntemi sonuçlarına daha yakın olduğu görülmüştür.

Anahtar Kelimeler

kayma etkisi geniş destek etkisi rijit uç bölge rijitlik matrisi

Kaynakça

  • [1]. Dym, C.L., Structural Modeling and Analysis. Cambridge University Press (1997)
  • [2]. Megson, T.H.G., Structural and Stress Analysis. Butterworth-Heineman (2000)
  • [2]. Liew, J.Y. R., Shanmugam, N.E. Theory and Analysis of Structures. In: Chen W . F ., Liew J . Y . R., editors. The Civil Engineering Handbook, Second Edition, CRC Press (2003)
  • [4]. Hibeler, R. C., Structural Analysis. Prentice Hall (2005)
  • [5]. Kassimali, A., Structural Analysis. Thomson (2005)
  • [6]. Bhatt, P. and Marshall, W.T., Structures, A Revision of Structures by P. Bhatt and H.M. Nelson. Longman (1999)
  • [7]. Tezcan, S., Çubuk Sistemlerin Elektronik Hesap Makineleri ile Çözümü. ITU Library (1970)
  • [8]. Manolis Papadrakakis, Evangelos J. Sapountzakis, "Modified Stiffness Matrix Method Matrix Methods for Advanced Structural Analysis", 2018, Pages 281-298
  • [9]. E. Marotta, P. Salvini, "Analytical Stiffness Matrix for Curved Metal Wires", Procedia Structural Integrity, Volume 8, 2018, Pages 43-55
  • [10]. J.R. Banerjee, A. Ananthapuvirajah "An exact dynamic stiffness matrix for a beam incorporating Rayleigh–Love and Timoshenko theories", International Journal of Mechanical Sciences, Volume 150, January 2019, Pages 337-34
  • [11]. H. Wimmer, K. Nachbagauer "Exact transfer- and stiffness matrix for the composite beam-column with Refined Zigzag kinematics" Composite Structures, Volume 189, 1 April 2018, Pages 700-706
  • [12]. Chugh, A. K., 1977, Stiffness matrix for a beam element including transverse shear and axial force effects. Int. J. Numer. Meth. Eng. 11(11): 1681-1697 (1977)
  • [13]. Beer, F.P., Johnston, E. R. , Mechanics of Materials. McGraw Hill (1992)
  • [14]. ANSYS Release 12.0 Documentation.

AN ANALYTICAL AND EXPERIMENTAL APPROACH FOR IMPROVED STIFFNESS MATRIX OF BARS WITH SHEAR AND WIDE SUPPORT EFFECTS

Yıl 2019, Cilt: 6 Sayı: 10, 32 - 46, 14.06.2019

Yaşar Ayaz Ahmet Budak

Öz

In
this study, frames including both the shear and the wide support effect was
examined analytically, numerically and experimentally. Stiffness method was
used for analytical solution and finite element method was used for numerical
solution. Explicit expressions for the stiffness matrix that includes both the
shear effect and the wide support effect are presented. A model frame was
tested experimentally, and a maximum deflection result was obtained. The same
frame was modeled and solved with the finite element method and with the
proposed method. The results of three methods were compared. The proposed
method was verified successfully. The proposed method, which includes both the
shear and wide support effects, produced results that were shown to be closer
to the experimental results and the results than were the results of the other
models that were investigated. 

Anahtar Kelimeler

shear effect wide support effect rigid end zone stiffness matrix

Kaynakça

  • [1]. Dym, C.L., Structural Modeling and Analysis. Cambridge University Press (1997)
  • [2]. Megson, T.H.G., Structural and Stress Analysis. Butterworth-Heineman (2000)
  • [2]. Liew, J.Y. R., Shanmugam, N.E. Theory and Analysis of Structures. In: Chen W . F ., Liew J . Y . R., editors. The Civil Engineering Handbook, Second Edition, CRC Press (2003)
  • [4]. Hibeler, R. C., Structural Analysis. Prentice Hall (2005)
  • [5]. Kassimali, A., Structural Analysis. Thomson (2005)
  • [6]. Bhatt, P. and Marshall, W.T., Structures, A Revision of Structures by P. Bhatt and H.M. Nelson. Longman (1999)
  • [7]. Tezcan, S., Çubuk Sistemlerin Elektronik Hesap Makineleri ile Çözümü. ITU Library (1970)
  • [8]. Manolis Papadrakakis, Evangelos J. Sapountzakis, "Modified Stiffness Matrix Method Matrix Methods for Advanced Structural Analysis", 2018, Pages 281-298
  • [9]. E. Marotta, P. Salvini, "Analytical Stiffness Matrix for Curved Metal Wires", Procedia Structural Integrity, Volume 8, 2018, Pages 43-55
  • [10]. J.R. Banerjee, A. Ananthapuvirajah "An exact dynamic stiffness matrix for a beam incorporating Rayleigh–Love and Timoshenko theories", International Journal of Mechanical Sciences, Volume 150, January 2019, Pages 337-34
  • [11]. H. Wimmer, K. Nachbagauer "Exact transfer- and stiffness matrix for the composite beam-column with Refined Zigzag kinematics" Composite Structures, Volume 189, 1 April 2018, Pages 700-706
  • [12]. Chugh, A. K., 1977, Stiffness matrix for a beam element including transverse shear and axial force effects. Int. J. Numer. Meth. Eng. 11(11): 1681-1697 (1977)
  • [13]. Beer, F.P., Johnston, E. R. , Mechanics of Materials. McGraw Hill (1992)
  • [14]. ANSYS Release 12.0 Documentation.
Toplam 14 adet kaynakça vardır.

Ayrıntılar

Birincil Dil İngilizce
Bölüm Makaleler
Yazarlar

Yaşar Ayaz

Ahmet Budak Bu kişi benim

Yayımlanma Tarihi 14 Haziran 2019
Gönderilme Tarihi 22 Nisan 2019
Yayımlandığı Sayı Yıl 2019 Cilt: 6 Sayı: 10

Kaynak Göster

APA Ayaz, Y., & Budak, A. (2019). AN ANALYTICAL AND EXPERIMENTAL APPROACH FOR IMPROVED STIFFNESS MATRIX OF BARS WITH SHEAR AND WIDE SUPPORT EFFECTS. Adıyaman Üniversitesi Mühendislik Bilimleri Dergisi, 6(10), 32-46.
AMA Ayaz Y, Budak A. AN ANALYTICAL AND EXPERIMENTAL APPROACH FOR IMPROVED STIFFNESS MATRIX OF BARS WITH SHEAR AND WIDE SUPPORT EFFECTS. Adıyaman Üniversitesi Mühendislik Bilimleri Dergisi. Haziran 2019;6(10):32-46.
Chicago Ayaz, Yaşar, ve Ahmet Budak. “AN ANALYTICAL AND EXPERIMENTAL APPROACH FOR IMPROVED STIFFNESS MATRIX OF BARS WITH SHEAR AND WIDE SUPPORT EFFECTS”. Adıyaman Üniversitesi Mühendislik Bilimleri Dergisi 6, sy. 10 (Haziran 2019): 32-46.
EndNote Ayaz Y, Budak A (01 Haziran 2019) AN ANALYTICAL AND EXPERIMENTAL APPROACH FOR IMPROVED STIFFNESS MATRIX OF BARS WITH SHEAR AND WIDE SUPPORT EFFECTS. Adıyaman Üniversitesi Mühendislik Bilimleri Dergisi 6 10 32–46.
IEEE Y. Ayaz ve A. Budak, “AN ANALYTICAL AND EXPERIMENTAL APPROACH FOR IMPROVED STIFFNESS MATRIX OF BARS WITH SHEAR AND WIDE SUPPORT EFFECTS”, Adıyaman Üniversitesi Mühendislik Bilimleri Dergisi, c. 6, sy. 10, ss. 32–46, 2019.
ISNAD Ayaz, Yaşar - Budak, Ahmet. “AN ANALYTICAL AND EXPERIMENTAL APPROACH FOR IMPROVED STIFFNESS MATRIX OF BARS WITH SHEAR AND WIDE SUPPORT EFFECTS”. Adıyaman Üniversitesi Mühendislik Bilimleri Dergisi 6/10 (Haziran 2019), 32-46.
JAMA Ayaz Y, Budak A. AN ANALYTICAL AND EXPERIMENTAL APPROACH FOR IMPROVED STIFFNESS MATRIX OF BARS WITH SHEAR AND WIDE SUPPORT EFFECTS. Adıyaman Üniversitesi Mühendislik Bilimleri Dergisi. 2019;6:32–46.
MLA Ayaz, Yaşar ve Ahmet Budak. “AN ANALYTICAL AND EXPERIMENTAL APPROACH FOR IMPROVED STIFFNESS MATRIX OF BARS WITH SHEAR AND WIDE SUPPORT EFFECTS”. Adıyaman Üniversitesi Mühendislik Bilimleri Dergisi, c. 6, sy. 10, 2019, ss. 32-46.
Vancouver Ayaz Y, Budak A. AN ANALYTICAL AND EXPERIMENTAL APPROACH FOR IMPROVED STIFFNESS MATRIX OF BARS WITH SHEAR AND WIDE SUPPORT EFFECTS. Adıyaman Üniversitesi Mühendislik Bilimleri Dergisi. 2019;6(10):32-46.
 Kapak Resmi İndir