Estimation of the vibration frequencies of plane frames and beams by back-propagation artificial neural networks

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CİVALEK Ö., ÇATAL H. H., Demirdaǧ O.

Teknik Dergi/Technical Journal of Turkish Chamber of Civil Engineers, cilt.13, sa.DECEMBER, ss.848, 2002 (Scopus, TRDizin)

• Yayın Türü: Makale / Tam Makale
• Cilt numarası: 13 Sayı: DECEMBER
• Basım Tarihi: 2002
• Dergi Adı: Teknik Dergi/Technical Journal of Turkish Chamber of Civil Engineers
• Derginin Tarandığı İndeksler: Scopus, TR DİZİN (ULAKBİM)
• Sayfa Sayıları: ss.848
• Dokuz Eylül Üniversitesi Adresli: Evet

Özet

The first three natural frequencies of frames and beams are obtained using multi-layer neural nerwork based back-propagation learning algorithm. The natural frequencies of beams are calculated for five different boundary conditions as the cantilever beam (C-F), Clamped end-Clamped end (C-C), Free end-Free end (F-F), Clamped end-Pinned end (C-P), and Pinned end-Free end (P-F) via direct solution of governing differential equations of beams and Rayleigh's approximate method. The training of the network has been made using these data for (C-C), (F-F), (P-F), (C-P) and (C-F) support conditions. The trained neural networks, however, had been tested with both ends simply supported conditions (P-P) in flexural vibration of beams and frames which were not included in the training set. The results found by using artificial neural nerwork are sufficiently close to the theoretical and numerical solutions. Artificial neural network solutions are seen to show sufficient sensitive.