• 제목/요약/키워드: Secant Stiffness

검색결과 61건 처리시간 0.022초

할선강성을 이용한 직접내진설계 (Direct Earthquake Design Using Secant Stiffness)

  • 박홍근;엄태성
    • 한국지진공학회:학술대회논문집
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    • 한국지진공학회 2003년도 추계 학술발표회논문집
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    • pp.239-246
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    • 2003
  • A new earthquake design method performing iterative calculations using secant stiffness was developed. The proposed design method has the advantages of convenience and stability in numerical analysis because it uses elastic analysis. At the same time, the proposed design method can accurately estimate the strength and ductility demands on the members because it performs the analysis on the inelastic behavior of structure using iterative calculation. In the present study, the procedure of the proposed design method was established, and a computer program incorporating the proposed method was developed. Design examples using the proposed method were presented, and its advantages were presented by the comparisons with existing design methods using elastic or inelastic analysis. The proposed design method, as an integrated method of analysis and design, can address the earthquake design strategy devised by the engineer, such as ductility limit on each member, the design concept of strong column - weak beam, and etc. Through iterative calculations on the structure preliminarily designed only with member sizing, the strength and ductility demands of each member can be directly calculated so as to satisfy the given design strategy As the result economical and safe design can be achieved.

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할선강성을 이용한 직접비탄성내진설계 (Direct Inelastic Earthquake Design Using Secant Stiffness)

  • 박홍근;엄태성
    • 한국지진공학회논문집
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    • 제8권1호
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    • pp.17-27
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    • 2004
  • 본 연구에서는 할선강성을 사용하여 반복계산을 수행하는 새로운 내진설계법을 개발하였다. 개발한 설계법은 탄성해석을 수행하므로 수치해석의 안정성과 용이성을 갖추고 있으며, 동시에 반복계산으로 구조물의 비탄성 거동을 해석할 수 있으므로 각 부재의 강도 및 연성 요구량을 정확히 예측할 수 있다. 본 연구에서는 제안된 설계법의 절차를 정립하였고, 이를 고려한 컴퓨터 해석/설계 프로그램을 개발하였다. 또한, 제안된 설계법을 사용한 설계예제를 제시하였고, 탄성 혹은 비탄성 해석을 이용한 기존 설계법과의 비교를 통하여 그 장점을 검증하였다. 해석과 설계를 통합적으로 수행하는 제안된 설계법은 설계자의 의도에 따라 부재의 강도 및 연성능력, 강기둥-약보 등과 같은 내진설계전략을 효과적으로 구현할 수 있으며, 초기설계단계에서 각 부재의 크기만이 가정된 구조물에 대하여 반복계산을 수행함으로써 주어진 설계전략을 만족하는 비탄성 강도 및 연성 요구량을 직접적으로 계산할 수 있으므로, 경제적이고 안전한 내진설계가 가능하다.

Nonlinear analysis of composite beams with partial shear interaction by means of the direct stiffness method

  • Ranzi, G.;Bradford, M.A.
    • Steel and Composite Structures
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    • 제9권2호
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    • pp.131-158
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    • 2009
  • This paper presents a modelling technique for the nonlinear analysis of composite steel-concrete beams with partial shear interaction. It extends the applicability of two stiffness elements previously derived by the authors using the direct stiffness method, i.e. the 6DOF and the 8DOF elements, to account for material nonlinearities. The freedoms are the vertical displacement, the rotation and the slip at both ends for the 6DOF stiffness element, as well as the axial displacement at the level of the reference axis for the 8DOF stiffness element. The solution iterative scheme is based on the secant method, with the convergence criteria relying on the ratios of the Euclidean norms of both forces and displacements. The advantage of the approach is that the displacement and force fields of the stiffness elements are extremely rich as they correspond to those required by the analytical solution of the elastic partial interaction problem, thereby producing a robust numerical technique. Experimental results available in the literature are used to validate the finite element proposed in the paper. For this purpose, those reported by Chapman and Balakrishnan (1964), Fabbrocino et al. (1998, 1999) and Ansourian (1981) are utilised; these consist of six simply supported beams with a point load applied at mid-span inducing positive bending moment in the beams, three simply supported beams with a point load applied at mid-span inducing negative bending moment in the beams, and six two-span continuous composite beams respectively. Based on these comparisons, a preferred degree of discretisation suitable for the proposed modelling technique expressed as a function of the ratio between the element length and depth is proposed, as is the number of Gauss stations needed. This allows for accurate prediction of the nonlinear response of composite beams.

할선강성을 이용한 직접 비탄성 스트럿-타이 모델 (Direct Inelastic Strut-Tie Model Using Secant Stiffness)

  • 박홍근;김윤곤;엄태성
    • 콘크리트학회논문집
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    • 제17권2호
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    • pp.201-212
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    • 2005
  • 본 연구에서는 할선강성을 사용하여 반복계산을 수행하는 새로운 비탄성 스트럿-타이 모델인 직접 비탄성 스트럿-타이 모델을 개발하였다. 개발된 설계방법은 기본적으로 선형해석을 사용하므로 해석의 용이성과 안정성을 확보할 수 있으며, 동시에 부재의 비탄성 거동을 고려하여 힘의 평형조건과 변위의 적합조건을 동시에 만족시키는 설계를 수행할 수 있다. 본 연구에서는 제안된 해석/설계법의 절차를 정립하였고, 이를 반영한 해석프로그램을 개발하였다. 제안된 방법을 이용한 설계 예를 소개하였으며, 기존의 스트럿-타이 모델과 비교를 통하여 제안된 방법의 유효성을 검증하였다. 본 설계방법은 해석 및 설계의 일괄시스템으로서 과대 인장균열과 스트럿의 취성파괴를 방지하기 위하여 설계자에 의하여 의도된 설계전략을 직접적으로 반영할 수 있다. 본 스트럿-타이 모델은 비선형거동을 해석할 수 있으므로, 부정정 스트럿-타이 모델을 사용할 수 있으며, 스트럿과 타이요소의 국부변형을 제어할 수 있으므로, 다양한 성능수준에 대한 성능기초설계방법으로 사용할 수 있다.

유동성 채움재의 조기 강도 및 강성 특성 평가를 위한 실험적 연구 (Experimental Study on Evaluating Early-age Strength and Stiffness Characteristics of Controlled Low Strength Material)

  • 손동건;정인업;김동주;변용훈
    • 한국지반신소재학회논문집
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    • 제20권4호
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    • pp.133-140
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    • 2021
  • 기존 현장시험법을 이용한 유동성 채움재의 강도 및 강성 특성을 추정하는 연구는 미미한 실정이다. 본 연구에서는 LWD를 이용하여 CLSM에 대한 강성 특성을 평가하였으며, 일축압축강도시험에서 도출되는 일축압축강도와 할선탄성계수에 대한 상관성을 분석하였다. 5종류의 배합비로 조성된 CLSM시료의 유동성 및 경화특성을 평가하기 위해 플로우시험, 응결시간시험을 수행하였다. 조기 강도 및 강성 특성을 평가하기 위하여, 양생 1일 및 7일이 경과된 시료를 이용하여 일축압축강도시험을 수행하였다. CLSM시료의 회복탄성계수를 추정하기 위하여 LWD 시험도 수행되었다. 실험결과, 양생 1일된 시료에서는 초속경 모르타르의 비율이 증가될수록 일축압축강도와 할선탄성계수가 동시에 증가하였으며, 초속경 모르타르의 비율이 가장 큰 시료에서 양생 7일 후 급격한 일축압축강도와 할선탄성계수의 증가를 보여주었다. LWD 시험결과, 양생 1일된 시료에서는 초속경 모르타르의 비율이 증가할수록 회복탄성계수가 증가되었으나, 양생 7일이 경과되면 초속경 모르타르의 비율이 증가할수록 회복탄성계수가 감소되는 경향이 나타났다. 상관성 분석결과, 일축일축압축강도와 할선탄성계수가 증가할수록 회복탄성계수도 증가되는 선형관계를 보여주었다.

Component method를 이용한 철골 보-기둥 죠인트의 강성평가 (Stiffness Evaluation of Steel Beam-to-Column Joints Using Component method)

  • 양철민;조지은;김영문
    • 한국전산구조공학회:학술대회논문집
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    • 한국전산구조공학회 2004년도 봄 학술발표회 논문집
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    • pp.243-250
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    • 2004
  • This paper reports on the evaluation of the initial stiffness of steel joints using component method as well as experimental tests. The so-called component method corresponds precisely to a simplified mechanical model composed of extensional springs and rigid links, whereby the joint is simulated by an appropriate choice of rigid and flexible components. An application to a cantilever beam-to-column steel joint is presented and compared to the experimental results obtained under cyclic loading condition. Comparison between numerical and experimental results allows to conclude that the numerical model is able to simulate, with a good level of accuracy for initial stiffness, the behaviour of beam-to-column joints.

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Main factors determining the shear behavior of interior RC beam-column joints

  • Costa, Ricardo;Providencia, Paulo
    • Structural Engineering and Mechanics
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    • 제76권3호
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    • pp.337-354
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    • 2020
  • Reinforced concrete beam-column (RCBC) joints of laterally loaded unbraced frames are sometimes controlled by their shear behavior. This behavior relies on multiple and interdependent complex mechanisms. There are already several studies on the influence of some parameters on the shear strength of reinforced concrete joints. However, there are no studies methodically tackling all the most relevant parameters and quantifying their influence on the overall joint behavior, not just on its shear strength. Hence, considering the prohibitive cost of a comprehensive parametric experimental investigation, a nonlinear finite element analysis (NLFEA) was undertaken to identify the key factors affecting the shear behavior of such joints and quantify their influence. The paper presents and discusses the models employed in this NLFEA and the procedure used to deduce the joint behavior from the NLFEA results. Three alternative, or complementary, quantities related to shear are considered when comparing results, namely, the maximum shear stress supported by the joint, the secant shear stiffness at maximum shear stress and the secant shear stiffness in service conditions. Depending on which of these is considered, the lower or higher the relevance of each of the six parameters investigated: transverse reinforcement in the joint, intermediate longitudinal bars and diagonal bars in the column, concrete strength, column axial load and confining elements in transverse direction.

Lateral stiffness of corner-supported steel modular frame with splice connection

  • Yi-Fan Lyu;Guo-Qiang Li;Ke Cao;Si-Yuan Zhai;De-Yang Kong;Xuan-Yi Xue;Heng Li
    • Steel and Composite Structures
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    • 제48권3호
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    • pp.321-333
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    • 2023
  • This paper proposes a comprehensive investigation on lateral stiffness of corner-supported steel modular frame using splice connection. A full-scale modular frame with two stacked steel modules under lateral load is tested. Ductile pattern in the transfer of lateral load is found in the final failure mode. Two types of lateral stiffness, including tangent stiffness and secant stiffness, are defined from the load-displacement due to the observed nonlinearity. The difference between these two types of stiffness is found around 20%. The comparisons between the experimental lateral stiffness and the predictions of classical methods are also conducted. The D-value method using hypothesis of independent case is a conservative option for predicting lateral stiffness, which is more recommended than method of contraflexural bending moment. Analyses on two classical short-rod models, including fix-rod model and pin-rod model, are further conducted. Results indicate that fix-rod model is more recommended than pin-rod model to simplify splice connection for simulation on lateral stiffness of modular frame in elastic design stage.

Modelling dowel action of discrete reinforcing bars for finite element analysis of concrete structures

  • Kwan, A.K.H.;Ng, P.L.
    • Computers and Concrete
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    • 제12권1호
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    • pp.19-36
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    • 2013
  • In the finite element analysis of reinforced concrete structures, discrete representation of the steel reinforcing bars is considered advantageous over smeared representation because of the more realistic modelling of their bond-slip behaviour. However, there is up to now limited research on how to simulate the dowel action of discrete reinforcing bars, which is an important component of shear transfer in cracked concrete structures. Herein, a numerical model for the dowel action of discrete reinforcing bars is developed. It features derivation of the dowel stiffness based on the beam-on-elastic-foundation theory and direct assemblage of the dowel stiffness matrix into the stiffness matrices of adjoining concrete elements. The dowel action model is incorporated in a nonlinear finite element program based on secant stiffness formulation and application to deep beams tested by others demonstrates that the incorporation of dowel action can improve the accuracy of the finite element analysis.