EFFECTS OF COINCIDENT RESPONSE OF STRUCTURES SUBJECTED TO HORIZONTAL AND VERTICAL GROUND MOTIONS ON EVALUATION OF PEAK RESPONSE

摘要

A response spectrum rule, which considers the coincidence between horizontal and vertical responses, for dynamic analysis of structures subjected to horizontal and vertical ground motions is developed. The ratio of response coincidence, the vertical response to its absolute maximum at the maximum horizontal response, is introduced to express the intensity and direction of the coincident vertical response. It forms a certain normal distribution and is independent of types of earthquake, soil, structure and linearity/ non-linearity of structural response. The combination of the maximum expected value of the ratio based on the allowable probability of exceedance and the modal responses gives the maximum expected coincident vertical response at the maximum horizontal response. Comparison of the combined response by the proposed method with the conventional methods highlights the conservativeness of conventional methods in evaluating the vertical response 38% and the combined response 7%.