NONLINEAR SNAP-THROUGH BUCKLING OF HOMOGENEOUS SHALLOW ARCHES WITH PINNED–FIXED
16th INTERNATIONAL CONGRESS ON ENGINEERING, ARCHITECTURE AND DESIGN, İstanbul, Türkiye, 20 - 22 Aralık 2025, cilt.1, ss.1525, (Özet Bildiri)
- Yayın Türü: Bildiri / Özet Bildiri
- Cilt numarası: 1
- Basıldığı Şehir: İstanbul
- Basıldığı Ülke: Türkiye
- Sayfa Sayıları: ss.1525
- Yıldız Teknik Üniversitesi Adresli: Evet
Özet
A shallow arch can exhibit bending or buckling when subjected to a vertical load. Bending is the deformation that develops due to the internal moments produced by external forces acting on a structural member. When a shallow arch reaches the maximum value, i.e. the critical load, any small increase in the applied load may trigger snap-through buckling, which leads to sudden and large deformations. Snap–through buckling in shallow arches mainly depends on geometric parameters such as the rise-to-span ratio and thickness, the elastic modulus of the material, the support conditions, and the magnitude and distribution of the applied load. In the literature, shallow arches with pinned–pinned or fixed–fixed supports are commonly studied, while arches supported by one pinned end and one fixed end appear far less frequently. In this study, we examine a shallow arch with homogeneous material, pinned at one end and fixed at the other, under a uniformly distributed vertical load. Both nonlinear bending behaviour and snap through buckling are investigated. The nonlinear governing equations derived using the von Kármán strain approach and the Bernoulli–Euler beam theory are discretized through the generalized differential quadrature method. This method transforms the nonlinear differential equations into nonlinear algebraic ones. Unlike many earlier studies, the Arc-Length method is employed to follow the equilibrium path more effectively during the solution process. The effects of geometric parameters, particularly the rise-to-span ratio and thickness, on the equilibrium path and the critical load are evaluated. Depending on these values, the structure may display either bending behaviour or snap-through buckling.