SEISMIC RESPONSE AND DESIGN OF ARCHED STRUCTURES

The aim of this paper is to investigate the dynamic response of arched structures and to revisit their seismic design. Arches are often used in real world applications (e.g. bridges, roofs) to span large areas by resolving vertical forces into compressive stresses and confining tensile stresses. The full understanding of the dynamic response of such structures poses a challenging technical and computational problem, especially when seismic loading is considered. For example, the assumption of axial inextensibility, although leads to a simplified sixth order differential equation overestimates the vibration frequencies, especially those of shallow arches. In our study, arched structures are modeled with a generic approach that includes both axial (tangential) and transverse (normal) deformation, variable mass and stiffness properties, as well as elastic support or restraint. The resulting dynamic governing equations of the arch are formulated in terms of the displacements, and solved using an efficient integral equation method. Several arches are analyzed in order to investigate their dynamic properties and to efficiently assess their capacity using response history analysis.

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