Optimum cross-section design of axially compressed thin-walled composite box sections

Mirali Nuraliyev; Alaettin Özer; Halil Burak Mutu

Makale detayları

Optimum cross-section design of axially compressed thin-walled composite box sections

Yazarlar:

Mirali Nuraliyev | Alaettin Özer | Halil Burak Mutu

Yayıncı:

Yozgat Bozok University

Ana Başlıklar:

Makine Mühendisliği (Diğer)

Dergi:

Bozok Journal of Engineering and Architecture Vol.4 Issue 1, pp.117-136

Belge Tipi:

Makale

Yayın Tarihi:

6/2025

Belge Dili:

Türkçe

Document ID (Org No.):

2001341090

pISSN:

3023-4298

Anahtar kelimeler:

Özet:

 There is no study that performs local buckling control analytically in composite box sections.. Because the elastic buckling coefficients required to determine the critical buckling stresses are unknown. Therefore, only strength control can be performed in the sections in question, or the cross-section dimensions can be determined according to strength. Suppose the subject is a thin-walled composite box section with a very high probability of buckling under an axial compression load. In that case, only the strength is insufficient, and buckling control should be considered. In this study presented to solve this problem, the Equivalent Homogeneous Section method was developed for the first time by considering the critical buckling stresses. Studies were conducted to determine the most suitable optimum dimensions of the composite box section under the supervision of both strength and buckling conditions, and they were carried out on the specially created equivalent homogeneous box section. The assumption that optimum equivalent homogeneous and optimum original composite box sections are obtained by removing the insides of solid homogeneous and solid composite sections of the same dimensions to the maximum extent is accepted. The optimization problem is solved by creating functional relations between the variable parameters of the box sections and the buckling coefficients, minimizing the cross-sectional area and maximizing the removal ratio. When the original composite box cross-sectional area with the determined optimum dimensions is compared with the equivalent homogeneous box cross-sectional area, it is analytically determined that the savings obtained increase depending on the ratio of the elasticity modules of the materials forming the composite box section, and it is also verified with numerical examples.

 There is no study that performs local buckling control analytically in composite box sections.. Because the elastic buckling coefficients required to determine the critical buckling stresses are unknown. Therefore, only strength control can be performed in the sections in question, or the cross-section dimensions can be determined according to strength. Suppose the subject is a thin-walled composite box section with a very high probability of buckling under an axial compression load. In that case, only the strength is insufficient, and buckling control should be considered. In this study presented to solve this problem, the Equivalent Homogeneous Section method was developed for the first time by considering the critical buckling stresses. Studies were conducted to determine the most suitable optimum dimensions of the composite box section under the supervision of both strength and buckling conditions, and they were carried out on the specially created equivalent homogeneous box section. The assumption that optimum equivalent homogeneous and optimum original composite box sections are obtained by removing the insides of solid homogeneous and solid composite sections of the same dimensions to the maximum extent is accepted. The optimization problem is solved by creating functional relations between the variable parameters of the box sections and the buckling coefficients, minimizing the cross-sectional area and maximizing the removal ratio. When the original composite box cross-sectional area with the determined optimum dimensions is compared with the equivalent homogeneous box cross-sectional area, it is analytically determined that the savings obtained increase depending on the ratio of the elasticity modules of the materials forming the composite box section, and it is also verified with numerical examples.

 There is no study that performs local buckling control analytically in composite box sections.. Because the elastic buckling coefficients required to determine the critical buckling stresses are unknown. Therefore, only strength control can be performed in the sections in question, or the cross-section dimensions can be determined according to strength. Suppose the subject is a thin-walled composite box section with a very high probability of buckling under an axial compression load. In that case, only the strength is insufficient, and buckling control should be considered. In this study presented to solve this problem, the Equivalent Homogeneous Section method was developed for the first time by considering the critical buckling stresses. Studies were conducted to determine the most suitable optimum dimensions of the composite box section under the supervision of both strength and buckling conditions, and they were carried out on the specially created equivalent homogeneous box section. The assumption that optimum equivalent homogeneous and optimum original composite box sections are obtained by removing the insides of solid homogeneous and solid composite sections of the same dimensions to the maximum extent is accepted. The optimization problem is solved by creating functional relations between the variable parameters of the box sections and the buckling coefficients, minimizing the cross-sectional area and maximizing the removal ratio. When the original composite box cross-sectional area with the determined optimum dimensions is compared with the equivalent homogeneous box cross-sectional area, it is analytically determined that the savings obtained increase depending on the ratio of the elasticity modules of the materials forming the composite box section, and it is also verified with numerical examples.

 Kompozit kutu kesitlerde yerel burkulma kontrolünü analitik olarak yapan bir çalışma mevcut değildir. Çünkü kritik burkulma gerilmelerinin belirlenebilmesi için gerekli olan elastik burkulma katsayıları bilinmemektedir. Bu nedenle söz konusu kesitlerde sadece mukavemet kontrolü yapılabilir veya en kesit boyutları mukavemet dayanımına göre belirlenebilir. Eğer söz konusu eksenel basınç yükü altındaki burkulma ihtimali çok yüksek olan ince cidarlı bir kompozit kutu kesit ise sadece mukavemet dayanımı yetersiz kalmakta ve burkulma kontrolünün dikkate alınması gerekmektedir. Ortaya çıkan bu problemin çözümü için sunulan bu çalışmada Eşdeğer Homojen Kesit yöntemi, ilk defa kritik burkulma gerilmeleri dikkate alınmakla geliştirilmiştir. Kompozit kutu kesiti oluşturan malzemelerin Elastisite modülleri oranıyla emniyet gerilmeleri oranları arasındaki ilişkiye dayalı geliştirilen analitik yöntem ile eşdeğer homojen kutu kesitte burkulmanın meydana gelmeyeceği durumda, aynı olayın kompozit kutu kesitte de ortaya çıkmayacağı tespit edilmiştir. Optimum eşdeğer homojen ve optimum orijinal kompozit kutu kesitlerin, bunlarla aynı boyutlarda olan dolu homojen ve dolu kompozit kesitlerin içlerinin maksimum oranda çıkartılmasıyla elde edildiği varsayımı kabul edilmiş ve optimizasyon problemi, kutu kesitlerin değişken parametreleri ile burkulma katsayıları arasında fonksiyonel bağıntılar oluşturularak, kesit alanının minimize edilmesi ve çıkarma oranının da maksimize edilmesi şeklinde çözülmüştür. Belirlenmiş optimum boyutlara sahip orijinal kompozit kutu kesit alanı ile eşdeğer homojen kutu kesit alanı karşılaştırıldığında elde edilen tasarrufun kompozit kutu kesiti oluşturan malzemelerin Elastisite modülleri oranına bağlı olarak artmakta olduğu analitik olarak tespit edilmiş ve sayısal örneklerle de doğrulanmıştır.

Makale detayları

Optimum cross-section design of axially compressed thin-walled composite box sections

Yazarlar:

Mirali Nuraliyev | Alaettin Özer | Halil Burak Mutu

Yayıncı:

Yozgat Bozok University

Ana Başlıklar:

Makine Mühendisliği (Diğer)

Dergi:

Bozok Journal of Engineering and Architecture Vol.4 Issue 1, pp.117-136

Belge Tipi:

Makale

Yayın Tarihi:

6/2025

Belge Dili:

Türkçe

Document ID (Org No.):

2001341090

pISSN:

3023-4298

Optimum Design

Composite Box Section

Equivalent Homogeneous Section

Local Buckling

Strength StrengthOptimum Tasarım

Kompozit Kutu Kesit

Eşdeğer Homojen Kesit

Yerel Burkulma

Mukavemet Dayanımı

Sayı

Makale detayları

Yazarlar: Mirali Nuraliyev | Alaettin Özer | Halil Burak Mutu

Yayıncı: Yozgat Bozok University

Ana Başlıklar: Makine Mühendisliği (Diğer)

Dergi: Bozok Journal of Engineering and Architecture Vol.4 Issue 1, pp.117-136

Belge Tipi: Makale

Yayın Tarihi: 6/2025

Belge Dili: Türkçe

Document ID (Org No.): 2001341090

pISSN: 3023-4298

Sayı

Yazarlar:

Mirali Nuraliyev | Alaettin Özer | Halil Burak Mutu

Yayıncı:

Yozgat Bozok University

Ana Başlıklar:

Makine Mühendisliği (Diğer)

Dergi:

Bozok Journal of Engineering and Architecture Vol.4 Issue 1, pp.117-136

Belge Tipi:

Makale

Yayın Tarihi:

6/2025

Belge Dili:

Türkçe

Document ID (Org No.):

2001341090

pISSN:

3023-4298