An Approach for Free Vibration Analysis of Framed Buildings with and without Infill Walls

Yıl 2025, Cilt: 8 Sayı: 2, 7 - 18, 31.12.2025

Kanat Burak Bozdoğan , Stelina Driza , Ahmet Eyol

https://doi.org/10.55581/ejeas.1781435

Öz

In the dynamic analysis of buildings, mass can be modeled either discrete or continuous. Although the discrete mass model is generally preferred in practice, the continuous mass calculation model can be used especially in preliminary dimensioning and in checking the results of the discrete mass calculation model. In the analysis of buildings according to the continuous system calculation model, structures are modeled as equivalent beams. The simplest of the equivalent beam models is the shear beam model, which is based on shear behavior. This model is particularly suitable for frames and masonry buildings where shear effects are dominant. In this study, a method based on the shear beam model is proposed for estimating the fundamental periods of bare and infilled frames. In the study, the continuous system calculation model was originally used to determine the periods of infilled frames. Furthermore, unlike similar studies previously conducted in the literature, a correction factor suitable for the shear beam model has been defined in order to adapt the continuous system calculation model to the discrete system calculation model. To evaluate the compatibility of the proposed approach with the finite element method, two case studies were conducted. A total of twelve frame structures, both with and without infill walls, were designed: 6-, 5-, and 4-story frames for Example 1, and 8-, 7-, and 6-story frames for Example 2. These frames were analyzed using both the proposed method and SAP2000, and the resulting periods were compared. The comparison revealed that, for bare frames, the accuracy of the proposed method improves with increasing number of stories. Additionally, it was observed that infilled frames yield better agreement with SAP2000 results compared to their bare counterparts.

Anahtar Kelimeler

Frame , Infill wall , Shear beam , Free Vibration

Dolgu Duvarsız ve Dolgu Duvarlı Çerçeveli Binaların Serbest Titreşim Analizi İçin Bir Yaklaşım

Öz

Binaların dinamik analizinde kütle, ayrık veya sürekli olarak modellenir. Uygulamada genellikle ayrık kütle modeli tercih edilmekle birlikte, sürekli kütle hesap modeli özellikle ön boyutlandırmada ve ayrık kütle hesap modelinin sonuçlarının kontrolünde kullanılabilmektedir. Binaların sürekli sistem hesap modeline göre analizinde yapılar eşdeğer bir kiriş olarak modellenmektedir. Eşdeğer kiriş modellerinden en basiti kayma davranışını esas alan kayma kirişi modelidir. Bu model, özellikle kayma davranışı baskın çerçeveler ve yığma binalar için uygundur. Bu çalışmada boş çerçevelerin ve dolgu duvarlı çerçevelerin periyotlarının belirlenmesi için kayma kiriş modelini esas alan bir yaklaşım önerilmiştir. Çalışmada özgün olarak sürekli sistem hesap modeli dolgu duvarlı çerçevelerin periyotlarının tayini için kullanılmıştır. Ayrıca çalışmada literatürde daha önce yapılmış benzer çalışmalardan farklı olarak sürekli sistem hesap modelini ayrık sistem hesap modeline uygun hale getirmek üzere kayma kiriş modeline uygun bir düzeltme katsayısı tanımlanmıştır. Çalışmanın son bölümünde sunulan yaklaşımın sonlu elemanlar yöntemine uygunluğunu değerlendirmek üzere iki örnek çözülmüştür. Örnek 1’de 6, 5 ve 4 katlı, örnek 2’de ise 8, 7 ve 6 katlı dolgu duvarlı ve dolgu duvarsız toplam 12 adet çerçeve yapısı tasarlanmıştır. Tasarlanan örnekler hem sunulan yaklaşım ile hem de SAP2000 ile çözülerek periyotlar karşılaştırılmıştır. Yapılan karşılaştırma sonucunda dolgu duvarsız çerçeve yapılarında kat sayısı arttıkça önerilen yöntemin SAP2000’den elde edilen sonuçlara yaklaştığı gözlemlenmiştir. Ayrıca sonuçlardan dolgu duvarlı çerçeve yapılarının dolgu duvarsız çerçeve yapılarına kıyasla daha iyi sonuçlar verdiği görülmüştür.

Anahtar Kelimeler

Çerçeve , Dolgu duvarı , Kayma kirişi , Serbest titreşim

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