An Analytical Model for Dynamic Response of An Elastic Sdof System Fixed on Top of a Rocking Frame Structure: Development

Abstract eng:
The response of rigid freely rocking SDOF systems has been extensively studied. It has been shown that single large rocking bodies, or single-story frames made of rocking columns capped with a beam of significant weight, are more stable than their smaller, or lighter counterparts under analytical pulse and recorded ground motion excitations. Under such excitations, the lateral forces carried by the rocking body, or the single-story rocking frame, are controlled at the uplift force level and depend on the slenderness of the rocking elements. Furthermore, the excitation energy transmitted to the rocking system is dissipated at every impact, with the frame having no residual displacement at the end of its rocking motion. Such dynamic response characteristics make freely rocking systems very desirable for their superior seismic performance, but very challenging to design. An analytical model developed to facilitate seismic design of structures supported by a single-story rocking podium frame is presented in this paper. This model comprises an elastic single-degree-of-freedom system fixed to a rigid beam that is rocking on rigid columns. As such, the model is an extension of a previously developed model for a rocking podium frame. This model was used to develop rocking uplift and overturning response spectra for the podium frame structural system under analytical pulse support excitations.

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