단자유도계 구조물의 로그정규분포 지진응답 특성
A Property of Seismic Response with Log-normal Distribution at SDOF Structure
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초록
본 연구에서는 지진하중에 대한 구조물의 동적해석 과정에서 실제적이고 신뢰성 있는 확률·통계적 지진응답 결과를 얻기 위해 로그정규분포 기반 지진응답 도출 방안을 제안하였다. 이를 위해 미국지질조사국(USGS)에서 제시한 로스앤젤레스 지역 지진재해도에 따라 50년 동안의 발생 초과확률이 2%, 5%, 10%인 30개 지진데이터들을 활용하였다. 해석 대상으로서는 기본적인 동적거동 파악을 위해 단자유도계를 선정, 이의 고유진동주기 별 응답을 나타내는 응답스팩트럼을 도식하여 응답 추이를 분석하였다. 최종적으로 도출된 로그정규분포 기반 응답의 경우 기존의 정규분포 기반 응답에 비해 모든 고유주기 영역에서 상대적으로 낮은 응답을 보였다. 제안된 로그정규분포 기반의 지진응답 평가는 성능기반내진설계를 위한 경제적 평가 방식으로서의 대안이 될 수 있을 것으로 기대된다.
Abstract
This study suggests a method for deriving earthquake response based on log-normal distribution in order to obtain realistic and reliable probability and statistical seismic response of structures. The development of three earthquake suites were presented, with a brief description of 2%, 10%, and 50% in 50 years probability of exceedance according the USGS Los Angeles probabilistic seismic hazard maps. In order to analyze the basic dynamic behavior, a Single-Degree-of-Freedom (SDOF) structure was selected and the seismic response spectrum representing the response of each natural period was plotted. Overall, the mean response values presented through the log-normal distribution is lower than the standard normal distribution. Thus, it is considered that the former method can be provided as the effective cost on performance-based seismic design more than the latter one.
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