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The Seismic Response Evaluation of Shear Buildings by Various Approximate Nonlinear Methods

비선형 약산법들에 의한 전단형 건물의 지진응답평가

  • Published : 2005.10.01

Abstract

In performance-based design methods, it is clear that the evaluation of the nonlinear response is required. Analysis methods available to the design engineer today are nonlinear time history analyses, or monotonic static nonlinear analyses, or equivalent static analyses with simulated inelastic influences. The nonlinear time analysis is the most accurate method in computing the nonlinear response of structures, but it is time-consuming and necessitate more efforts. Some codes proposed the capacity spectrum method based on the nonlinear static analysis to determine earthquake-induced demand. The nonlinear direct spectrum method is proposed and studied to evaluate nonlinear response of structures, without iterative computations, given by the structural linear vibration period and yield strength from pushover analysis. The purpose of this paper is to compare the accuracy and the reliability of approximate nonlinear methods with respect to shear buildings and various earthquakes. The conclusions of this study are summarized as follows: 1) Linear capacity spectrum method may fail to find a convergent answer or make a divergence. Even if a convergent answer is found, it has a large error in some cases and the error varies greatly depending on earthquakes. 2) Although nonlinear capacity spectrum method need much less calculation than capacity spectrum method and find an answer in any case, it may be difficult to obtain an accurate answer and generally large error occurs. 3) The nonlinear direct spectrum method is thought to have good applicability because it produce relatively correct answer than other methods directly from pushover curves and nonlinear response spectrums without additional and iterative calculations.

성능에 기초한 설계법에서는 비선형 응답산정이 필수적이다. 이를 위한 해석법으로는 비선형 시간이력해석, 비선형 정적해석 혹은 비선형의 영향을 고려한 등가정적해석 등이 있다. 비선형 응답을 산정하기 위한 가장 정확한 해석방법은 비선형 시간이력해석법이지만, 많은 시간과 노력을 필요로 한다. 비선형 직접스펙트럼법은 pushover곡선으로부터 구조물의 선형 진동주기와 항복강도를 구한 다음, 반복계산 없이 비선형 응답을 직접 산정하는 약산법이다. 본 연구에서는 비선형 약산법들의 정확성과 신뢰성을 다양한 지진과 전단형 건물의 여러 가지 조건에 대해 검토하고자 한다. 본 연구의 결론은 다음과 같다. 1) 선형 능력스펙트럼법에 의한 약산응답들은 수렴하는 해를 구하지 못하거나 발산하는 경우가 발생하며 수렴하더라도 큰 오차가 발생하는 경우가 있으며, 지진별로 오차의 편차가 크다. 2) 비선형 능력스펙트럼법은 능력스펙트럼법보다 계산량이 크게 줄어들고, 해는 구해지나 요구곡선의 특성으로 정확한 해를 구하기 어려울 수 있으며, 전반적으로 큰 오차가 발생한다. 3) 비선형 직접스펙트럼법은 다른 약산법들에 비해 추가적이고 반복적인 계산과정 없이 pushover곡선과 비선형 응답스펙트럼으로부터 비교적 정확한 값을 직접 구할 수 있으므로 실용적인 방법으로 사료된다.

Keywords

References

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