Applicability of Modal Response Spectrum Analysis on Rocking Structures

Abstract eng:
The design of rocking shear walls or frames can be a difficult task for practicing engineers. Because of the high nonlinearity and in the same time the lack of the adequate energy dissipation, the modal response spectrum analysis is not (or not directly) applicable. Furthermore, the development of a numerically stable and reliable model for nonlinear time-history analysis of these types of buildings is demanding and time consuming. Response spectrum analysis of ductile structures is based on the classical results of A. S. Veletsos and N. M. Newmark, who in their 1960 paper developed response spectrum for structures with elastic-perfectly plastic, symmetrical force-deformation curves. The basic idea of the design is that the elastic response spectrum is modified by the behavior factor, which depends on the ductility of the structure. In our paper we wish to develop a general method for the response spectrum analysis of rocking structures. First nonlinear time-history analyses are carried out on single degree of freedom structures with different hysteresis loops: bilinear elastic, flag shaped, full hysteresis, etc. Based on these calculations a recommendation is given for the application of the modal response spectrum analysis of rocking structures, which can serve as a simple and reliable design tool for design engineers.

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