• 제목/요약/키워드: nonlinear spring elements

검색결과 64건 처리시간 0.018초

Winkler spring behavior in FE analyses of dowel action in statically loaded RC cracks

  • Figueira, Diogo;Sousa, Carlos;Neves, Afonso Serra
    • Computers and Concrete
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    • 제21권5호
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    • pp.593-605
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    • 2018
  • A nonlinear finite element modeling approach is developed to assess the behavior of a dowel bar embedded on a single concrete block substrate, subjected to monotonic loading. In this approach, a discrete representation of the steel reinforcing bar is considered, using beam finite elements with nonlinear material behavior. The bar is connected to the concrete embedment through nonlinear Winkler spring elements. This modeling approach can only be used if a new constitutive model is developed for the spring elements, to simulate the deformability and strength of the concrete substrate. To define this constitutive model, an extensive literature review was conducted, as well as 3 experimental tests, in order to select the experimental data which can be used in the calibration of the model. Based on this data, an empirical model was established to predict the global dowel response, for a wide range of bar diameters and concrete strengths. This empirical model provided the information needed for calibration of the nonlinear Winkler spring model, valid for dowel displacements up to 4 mm. This new constitutive model is composed by 5 stages, in order to reproduce the concrete substrate response.

프리캐스트 콘크리트 판구조의 비선형 해석 (Nonlinear Analysis of Precast Concrete Wall Structures)

  • 서수연;이원호;이리형
    • 한국전산구조공학회논문집
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    • 제13권2호
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    • pp.189-196
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    • 2000
  • 본 연구에서는 반복하중을 받는 프리캐스 콘크리트 판구조의 비선형 거동을 예측할 수 있는 해석방법을 제시하고자 한다. 프리캐스트 콘크리트 판은 탄성유한요소로 이상화하고, 벽판이 교차하는 접합부는 비선형 스프링요소로 모델링한다. 특히, 접합부에서 발생하는 전단, 압축과 인장거동을 묘사할 수 있도록 압축-인장 요소와 전단요소를 개발하고 각 스프링 요소의 강도와 강성은 기존연구자들에 의해 제시된 연구결과를 이용하여 구축한다. 구축된 모델을 비선형 해석프로그램인 DRAIN-2DX에 적용시켜 프리캐스트 콘크리트 판구조의 비선형 이력특성을 예측한다. 제안된 방법의 적합성을 평가하기 위하여 기존에 실험된 실험체를 대상으로 비선형 해석을 실시하고 그 결과를 비교하였으며, 그 결과 강도, 강성, 에너지 소산성능 및 횡변위 등에 대하여 실험결과와 해석결과가 좋은 대응을 보이는 것으로 나타났다. 이로부터 제안된 방법을 이용하여 대형콘크리트 판구조체의 비선형 이력특성을 적절히 예측할 수 있는 것으로 보여진다.

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비선형 회전 스프링 요소를 갖는 공간 프레임의 구조의 비선형 해석에 관한 연구 (A study on the nonlinear analysis of spatial frame structures with nonlinear rotational spring elements)

  • 이병채;박문식
    • 오토저널
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    • 제12권2호
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    • pp.29-42
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    • 1990
  • Three dimensional frame structures with such nonlinearities as large displacements, medium rotations, plastic hinges and local defects are efficiently analyzed by introducing the nonlinear rotational spring. Formulations are based on the incremental updated Lagrangian descriptions and the virtual work principle, Axial displacement and twisted angle in beam elements are interpolated linearly, while bending displacements are approximated by the Hermite polynomials. The modified are length method is used as a solution method. The moment-angle of rotation relationship obtained analytically or experimentally can be easily incorporated into the solution procedure. Several examples tested show that the present method can be used efficiently in analyzing nonlinear frame structures with plastic hinges or local defect.

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파이버 및 전단 스프링요소를 이용한 비보강 조적벽체의 비선형 해석모델 (Nonlinear Analytical Model of Unreinforced Masonry Wall using Fiber and Shear Spring Elements)

  • 홍정모;신동현;김형준
    • 한국전산구조공학회논문집
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    • 제31권6호
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    • pp.283-291
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    • 2018
  • 본 연구는 지진에 저항하는 부재인 비보강 조적벽체로 구성된 건물의 내진성능평가에 활용되는 비선형 정적해석을 위한 비보강 조적벽체의 해석모델을 수립하고자 하였다. 본 연구의 해석모델은 비보강 조적벽체의 휨거동을 모사하기 위한 파이버 요소와 비보강 조적벽체의 전단에 대한 응답을 예측하기 위한 전단스프링 요소로 구성된다. 본 논문은 먼저 제안하고 있는 모델의 형상에 대해서 설명하고, 기존에 행해진 조적조 프리즘의 실험결과로부터 얻은 응력-변형률 곡선을 근거로 파이버와 전단스프링 요소의 물성치에 대한 결정 방법을 설명한다. 제시하고 있는 모델은 비선형 정적 해석결과와 다른 연구자들에 의해 수행된 실험결과를 비교하여 타당성을 검증한다. 해당 모델은 최대강도, 초기강성, 그리고 이들로부터 얻어지는 비보강 조적벽체의 하중-변위 곡선을 적절하게 모사하고 있다. 또한, 해석모델이 비보강 조적벽체의 파괴모드를 예측할 수 있는 것으로 나타난다.

Numerical simulation of bridge piers with spread footings under earthquake excitation

  • Chiou, Jiunn-Shyang;Jheng, Yi-Wun;Hung, Hsiao-Hui
    • Earthquakes and Structures
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    • 제16권6호
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    • pp.691-704
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    • 2019
  • This study simulates the responses of large-scale bridge piers under pseudo-dynamic tests to investigate the performance of four types of numerical models that consider the nonlinear behavior of the pier and the rocking behavior of the footing. In the models, beam-column elements with plastic hinges are used for the pier, two types of foundation models (rotational spring and distributed spring models) are adopted for the footing behavior, and two types of viscous damping models (Rayleigh and dashpot models) are applied for energy dissipation. Results show that the nonlinear pier model combined with the distributed spring-dashpot foundation model can reasonably capture the behavior of the piers in the tests. Although the commonly used rotational spring foundation model adopts a nonlinear moment-rotation property that reflects the effect of footing uplift, it cannot suitably simulate the hysteretic moment-rotation response of the footing in the dynamic analysis once the footing uplifts. In addition, the piers are susceptible to cracking damage under strong seismic loading and the induced plastic response can provide contribution to earthquake energy dissipation.

Exact solutions of vibration and postbuckling response of curved beam rested on nonlinear viscoelastic foundations

  • Nazira Mohamed;Salwa A. Mohamed;Mohamed A. Eltaher
    • Advances in aircraft and spacecraft science
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    • 제11권1호
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    • pp.55-81
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    • 2024
  • This paper presents the exact solutions and closed forms for of nonlinear stability and vibration behaviors of straight and curved beams with nonlinear viscoelastic boundary conditions, for the first time. The mathematical formulations of the beam are expressed based on Euler-Bernoulli beam theory with the von Karman nonlinearity to include the mid-plane stretching. The classical boundary conditions are replaced by nonlinear viscoelastic boundary conditions on both sides, that are presented by three elements (i.e., linear spring, nonlinear spring, and nonlinear damper). The nonlinear integro-differential equation of buckling problem subjected to nonlinear nonhomogeneous boundary conditions is derived and exactly solved to compute nonlinear static response and critical buckling load. The vibration problem is converted to nonlinear eigenvalue problem and solved analytically to calculate the natural frequencies and to predict the corresponding mode shapes. Parametric studies are carried out to depict the effects of nonlinear boundary conditions and amplitude of initial curvature on nonlinear static response and vibration behaviors of curved beam. Numerical results show that the nonlinear boundary conditions have significant effects on the critical buckling load, nonlinear buckling response and natural frequencies of the curved beam. The proposed model can be exploited in analysis of macrosystem (airfoil, flappers and wings) and microsystem (MEMS, nanosensor and nanoactuators).

섬유(Fiber)요소와 비선형 전단스프링을 적용한 고축력을 받는 철근콘크리트 전단벽의 비선형거동 분석 (Pushover Analysis of Reinforced Concrete Shear Wall Subjected to High Axial Load Using Fiber Slices and Inelastic Shear Spring)

  • 전대한
    • 한국지진공학회논문집
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    • 제19권5호
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    • pp.239-246
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    • 2015
  • Reinforced concrete shear walls are effective for resisting lateral loads imposed by wind or earthquakes. Observed damages of the shear wall in recent earthquakes in Chile(2010) and New Zealand(2011) exceeded expectations. Various analytical models have been proposed in order to incorporate such response features in predicting the inelastic response of RC shear walls. However, the model has not been implemented into widely available computer programs, and has not been sufficiently calibrated with and validated against extensive experimental data at both local and global response levels. In this study, reinforced concrete shear walls were modeled with fiber slices, where cross section and reinforcement details of shear walls can be arranged freely. Nonlinear analysis was performed by adding nonlinear shear spring elements that can represent shear deformation. This analysis result will be compared with the existing experiment results. To investigate the nonlinear behavior of reinforced concrete shear walls, reinforced concrete single shear walls with rectangular wall cross section were selected. The analysis results showed that the yield strength of the shear wall was approximately the same value as the experimental results. However, the yielding displacement of the shear wall was still higher in the experiment than the analysis. The analytical model used in this study is available for the analysis of shear wall subjected to high axial forces.

Simplified nonlinear simulation for composite segmental lining of rectangular shield tunnels

  • Zhao, Huiling;Liu, Xian;Yuan, Yong
    • Structural Engineering and Mechanics
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    • 제81권4호
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    • pp.513-522
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    • 2022
  • Steel-concrete composite segments replacing the conventional reinforced concrete segments can provide the rectangular shield tunnel superiorities on bearing capacity, ductility and economy. A simplified model with high-efficiency on computation is proposed for investigating the nonlinear response of the rectangular tunnel lining composed of composite segments. The simulation model is developed by an assembly of nonlinear fiber beam elements and spring elements to express the transfer mechanism of forces through components of composite segments, and radial joints. The simulation is conducted with the considerations of material nonlinearity and geometric nonlinearity associated with the whole loading process. The validity of the model is evaluated through comparison of the proposed nonlinear simulation with results obtained from the full-scale test of the segmental tunnel lining. Furthermore, a parameter study is conducted by means of the simplified model. The results show that the stiffness of the radial joint at haunch of the ling and the thickness of inner steel plate of segments have remarkable influence on the behaviour of the lining.

전단스프링과 섬유요소를 이용한 철근콘크리트 전단벽의 비선형 해석모델에 관한 연구 (Nonlinear Modeling of RC Shear Walls Using Fiber and Shear Spring Elements)

  • 이광호;유태상;김태완;정성훈
    • 콘크리트학회논문집
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    • 제24권5호
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    • pp.559-566
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    • 2012
  • 철근콘크리트 전단벽을 모델링하기 위해서 섬유요소와 전단스프링을 사용한 모델을 개발하였다. 섬유요소는 전단벽의 휨변형을 나타내며, 전단스프링은 전단변형을 나타낸다. 섬유요소는 단면치수와 비선형 재료성질을 입력하여 모델링되며, 전단스프링은 섬유요소모델과 VecTor2프로그램의 해석 결과로부터 그 변수들을 선정한다. 전단스프링은 전단변형에 의한 강도 강성 감소, 핀칭효과, 그리고 슬립현상을 모사할 수 있는 OpenSees의 Pinching4 모델을 사용하였다. 전단스프링의 변수선정과정은 복잡하고 시간이 오래 걸린다. 따라서 섬유요소모델의 사용성을 검토하기 위해 전단벽의 형상비(H/L), 보의 높이변화, 그리고 보와 전단벽의 강성비 휨강도비를 변수로 하여 전단벽 건물에 동적해석을 수행하였다. 전단벽의 형상비는 섬유요소모델을 사용한 모델과 섬유요소와 전단스프링을 함께 사용한 모델의 층간변위비 오차와 일정한 관계를 가진다. 하지만 보의 높이변화와 강성비 휨강도비 변화에 두 모델의 오차는 일정한 관계를 보이지 않는다.

스프링구동 캠에서 마찰과 스프링운동이 동적응답에 미치는 영향 (Influence of Spring Dynamics and Friction on Dynamic Responses in a Spring-Driven Cam)

  • 안길영;김수현
    • 대한기계학회논문집A
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    • 제27권2호
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    • pp.247-254
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    • 2003
  • The paper presents the influence of spring dynamics and friction on dynamic responses in a spring-driven cam system. The characteristics of the friction on the camshaft are analyzed using the nonlinear pendulum experiment while the parameters of the friction model are estimated using the optimization technique. The analysis reveals that the friction of the camshaft depends on stick-slip, Stribeck effect and viscous damping. Spring elements are found to have much influence on the dynamic characteristics. Hence, they are modeled as four-degree-of-freedom lumped masses with equivalent springs. The appropriateness of the derived friction model and spring model is verified by its application to a vacuum circuit breaker mechanism of the cam-follower type.