A simplified nonlinear analysis procedure to predict earthquake responses of single-story asymmetric buildings is presented and its applicability is discussed. In this procedure, their responses are predicted through a nonlinear static analysis of MDOF model and a nonlinear dynamic analysis of equivalent SDOF model, considering the change in the first mode shape at each nonlinear stage and the effect of the first and second mode contribution. The results show that the responses of torsionally stiff buildings can be satisfactorily predicted by the proposed procedure.

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A hybrid method is developed to simulate near field strong ground motion reasonably in wide period range. As a hybrid method, stochastic Green's function method for short period part and discrete wave-number method for long period part are assumed. It is required that matching period range of the two methods corresponds with the transition range of ground motion between deterministic and stochastic aspects. Because of limitation of structure modeling scale, however, the matching range is usually set to be longer period. The stochastic method proposed in this paper is extended to longer period range than usual one with considering coherent source time function in long period range. Furthermore, frequency dependent radiation pattern and site response of layered media are introduced. Calculated near-filed ground motion by the proposed stochastic method has sufficient accuracy use even for longer period range at a site on basement of flat layered structure.

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