Abstract
This paper investigates the planar rocking response of an array of free-standing columns capped with a freely supported rigid beam in an effort to explain the appreciable seismic stability of ancient free-standing columns which support heavy epistyles together with the even heavier frieze atop. Following a variational formulation the paper concludes to the remarkable result that the dynamic rocking response of an array of free-standing columns capped with a rigid beam is identical to the rocking response of a single free-standing column with the same slenderness; yet with larger size – that is a more stable configuration. Most importantly, the study shows that the heavier the freely supported cap-beam is (epistyles with frieze atop), the more stable is the rocking frame regardless the rise of the center of gravity of the cap-beam; concluding that top-heavy rocking frames are more stable than when they are top-light. This “counter intuitive” finding renders rocking isolation a most attractive alternative for the seismic protection of bridges with tall piers; while its potential implementation shall remove several of the concerns associated with the seismic connections of prefabricated bridges.
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Financial Support for this study has been provided by the action “Aristeia” of the “OPERATIONAL PROGRAMME EDUCATION AND LIFELONG LEARNING” and is co-funded by the European Social Fund (ESF) and National Resources of Greece.
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Makris, N., Vassiliou, M.F. (2015). Seismic Response and Stability of the Rocking Frame. In: Cimellaro, G., Nagarajaiah, S., Kunnath, S. (eds) Computational Methods, Seismic Protection, Hybrid Testing and Resilience in Earthquake Engineering. Geotechnical, Geological and Earthquake Engineering, vol 33. Springer, Cham. https://doi.org/10.1007/978-3-319-06394-2_15
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