• 제목/요약/키워드: nonlinear, shear

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비선형 휨 및 전단 힌지 사이의 불평형력 해소를 위한 수렴계산 기법 (An Iterative Scheme for Resolving Unbalanced Forces Between Nonlinear Flexural Bending and Shear Springs in Lumped Plasticity Model)

  • 김유석
    • 한국지진공학회논문집
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    • 제26권6호
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    • pp.227-235
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    • 2022
  • For a member model in nonlinear structural analysis, a lumped plastic model that idealizes its flexural bending, shear, and axial behaviors by springs with the nonlinear hysteretic model is widely adopted because of its simplicity and transparency compared to the other rigorous finite element methods. On the other hand, a challenging task in its numerical solution is to satisfy the equilibrium condition between nonlinear flexural bending and shear springs connected in series. Since the local forces between flexural and shear springs are not balanced when one or both springs experience stiffness changes (e.g., cracking, yielding, and unloading), the additional unbalanced force due to overshooting or undershooting each spring force is also generated. This paper introduces an iterative scheme for numerical solutions satisfying the equilibrium conditions between flexural bending and shear springs. The effect of equilibrium iteration on analysis results is shown by comparing the results obtained from the proposed method to those from the conventional scheme, where the equilibrium condition is not perfectly satisfied.

Nonlinear creep model based on shear creep test of granite

  • Hu, Bin;Wei, Er-Jian;Li, Jing;Zhu, Xin;Tian, Kun-Yun;Cui, Kai
    • Geomechanics and Engineering
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    • 제27권5호
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    • pp.527-535
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    • 2021
  • The creep characteristics of rock is of great significance for the study of long-term stability of engineering, so it is necessary to carry out indoor creep test and creep model of rock. First of all, in different water-bearing state and different positive pressure conditions, the granite is graded loaded to conduct indoor shear creep test. Through the test, the shear creep characteristics of granite are obtained. According to the test results, the stress-strain isochronous curve is obtained, and then the long-term strength of granite under different conditions is determined. Then, the fractional-order calculus software element is introduced, and it is connected in series with the spring element and the nonlinear viscoplastic body considering the creep acceleration start time to form a nonlinear viscoplastic creep model with fewer elements and fewer parameters. Finally, based on the shear creep test data of granite, using the nonlinear curve fitting of Origin software and Levenberg-Marquardt optimization algorithm, the parameter fitting and comparative analysis of the nonlinear creep model are carried out. The results show that the test data and the model curve have a high degree of fitting, which further explains the rationality and applicability of the established nonlinear visco-elastoplastic creep model. The research in this paper can provide certain reference significance and reference value for the study of nonlinear creep model of rock in the future.

Load-Displacement Formulations of Low-rise Unbounded RC Shear Walls with or without Openings

  • Lou, K. Y.;Cheng, F. Y.;Sheu, M. S.;Zhang, X. Z.
    • Computational Structural Engineering : An International Journal
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    • 제1권2호
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    • pp.117-130
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    • 2001
  • Investigations of low-rice unbounded reinforced concrete shear walls with or without openings are performed with comparison of analytical and experimental results. Theoretical analysis is based on nonlinear finite element algorithm, which incorporates concrete failure criterion and nonlinear constitutive relationships. Studios focus on the effects of height-to-length ratio of shear walls, opening ratio, horizontal and vertical reinforcement radios, and diagonal reinforcement. Analytical solutions conform well with experimental results. Equations for cracking, yielding and ultimate loads with corresponding lateral displacements are derived by regression using analytical results and experimental data. Also, failure modes of low-rise unbounded shear walls are theoretically investigated. An explanation of change in failure mode is ascertained by comparing analytical results and ACI code equations. Shear-flexural failure can be obtained with additional flexural reinforcement to increase a wall's capacity. This concept leads to a design method of reducing flexural reinforcement in low-rise bounded solid shear wall's. Avoidance of shear failure as well as less reinforcement congestion leer these walls is expected.

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철근콘크리트 보-기둥 접합부의 비선형 전단거동예측 (Prediction of Nonlinear Shear Behavior of Reinforced Concrete Beam-Column Joints)

  • 조창근;우성우
    • 한국지진공학회논문집
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    • 제13권2호
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    • pp.29-36
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    • 2009
  • 본 연구는 철근콘크리트 내부 보-기둥 접합부의 전단거동 예측에 관한 비선형 모델을 제안한 것이다. 보-기둥 접합부 패널존에서의 전단거동 모델을 위하여 면내전단 예측을 위한 연화트러스모델 이론을 수정한 이론을 적용하였다. 이로부터 접합부에서의 평형조건에 의한 등가 모멘트 및 회전 관계를 이용하여 접합부에서의 전단변형 관계를 접합부의 회전스프링의 특성관계로 변환하여 고려토록 하였다. 소개된 해석모델을 축력 및 전단을 받는 내부 철근콘크리트 보-기둥 접합부의 실험과 비교하였으며, 제시된 모델은 접합부에서의 전단력 뿐만 아니라 전단변형의 예측에도 유효한 것으로 판단되었다.

A study on the behaviour of coupled shear walls

  • Bhunia, Dipendu;Prakash, Vipul;Pandey, Ashok D.
    • Structural Engineering and Mechanics
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    • 제42권5호
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    • pp.645-675
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    • 2012
  • An effective design technique for symmetrical coupled shear walls is presented. Proposed formulation including assumptions and steps with mathematical formulation has been elaborated to make the design technique. An example has been considered to validate the technique with the DRAIN-3DX (1993) and SAP V 10.0.5 (2000) nonlinear programs. Parametric study has also been considered to find out the limitations along with remedial action of this technique. On the other hand, nonlinear static analysis is considered to determine the response reduction factor of coupled shear walls. Finally, it has been concluded in this paper that the proposed design technique can be considered to design the coupled shear walls under seismic motion.

Effects of Material Nonlinearity on Seismic Responses of Multistoried Buildings with Shear Walls and Bracing Systems

  • Islam, Md. Rajibul;Chakraborty, Sudipta;Kim, Dookie
    • Architectural research
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    • 제24권3호
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    • pp.75-84
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    • 2022
  • Scads of earthquake-resistant systems are being invented around the globe to ensure structural resistance against the lateral forces induced by earthquake loadings considering structural safety, efficiency, and economic aspects. Shear wall and Bracing systems are proved to be two of the most viable solutions for seismic strengthening of structures. In the present study, three numerical models of a G+10 storied building are developed in commercial building analysis software considering shear wall and bracing systems for earthquake resistance. Material nonlinearity is introduced by using plastic hinges. Analyses are performed utilizing two dynamic methods: Response Spectrum analysis and nonlinear Time-history analysis using Kobe and Loma Prieta earthquake data and results are compared to observe the nonlinear behavior of structures. The outcomes exposed that a significant increase in the seismic responses occurs due to the nonlinearity in the building systems. It was also found that building with shear wall exhibits maximum resistance and minimum nonlinearity when subjected to dynamic loadings.

Geometrically nonlinear analysis of plane frames with semi-rigid connections accounting for shear deformations

  • Gorgun, H.;Yilmaz, S.
    • Structural Engineering and Mechanics
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    • 제44권4호
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    • pp.539-569
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    • 2012
  • The behaviour of beam-to-column connections plays an important role in the analysis and design of steel structures. A computer-based method is presented for nonlinear steel frames with semi-rigid connections accounting for shear deformations. The analytical procedure employs transcendental stability functions to model the effect of axial force on the stiffness of members. The member stiffness matrix, and the fixed end forces for various loads were found. The nonlinear analysis method is applied for three planar steel structures. The method is readily implemented on a computer using matrix structural analysis techniques and is applicable for the efficient nonlinear analysis of frameworks.

Nonlocal nonlinear stability of higher-order porous beams via Chebyshev-Ritz method

  • Ahmed, Ridha A.;Mustafa, Nader M.;Faleh, Nadhim M.;Fenjan, Raad M.
    • Structural Engineering and Mechanics
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    • 제76권3호
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    • pp.413-420
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    • 2020
  • Considering inverse cotangential shear strain function, the present paper studies nonlinear stability of nonlocal higher-order refined beams made of metal foams based on Chebyshev-Ritz method. Based on inverse cotangential beam model, it is feasible to incorporate shear deformations needless of shear correction factor. Metal foam is supposed to contain different distributions of pores across the beam thickness. Also, presented Chebyshev-Ritz method can provide a unified solution for considering various boundary conditions based on simply-supported and clamped edges. Nonlinear effects have been included based upon von-karman's assumption and nonlinear elastic foundation. The buckling curves are shown to be affected by pore distribution, geometric imperfection of the beam, nonlocal scale factor, foundation and geometrical factors.

원자로건물의 철근콘크리트 전단벽 비선형 지진응답 평가 (Evaluation of Nonlinear Seismic Response of RC Shear Wall in Nuclear Reactor Containment Building)

  • 김대희;이경구;구지모
    • 한국전산구조공학회논문집
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    • 제34권6호
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    • pp.385-392
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    • 2021
  • 강진 시 원자력발전시설의 비선형 응답이 중요하기 때문에 이 시설의 내진성능에 대한 관심이 증가하였다. 이 연구에서는 원자력 발전소 철근콘크리트 전단벽의 유한요소해석을 위한 재료모델의 적절한 변수를 제시하였다: 최대인장강도, 팽창각, 손상계수. 이를 위해 상용 유한요소 해석프로그램인 ABAQUS를 사용하여 낮은 형상비를 가진 철근콘크리트 전단벽의 비선형 거동과 전단 파괴모드에 대한 이 주요 변수의 효과에 대한 연구를 수행하였다. 연구결과에 기반하여 비선형 시간이력해석을 통해 강진 하의 원자로건물의 비선형 응답을 평가하였다.

철근 콘크리트 벽식 구조물의 비선형 해석모델 (Nonlinear Analysis Model of RC Shear Wall Building)

  • 정일영;이영욱
    • 한국전산구조공학회:학술대회논문집
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    • 한국전산구조공학회 1993년도 봄 학술발표회논문집
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    • pp.141-148
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    • 1993
  • In this paper, TVLEM is selected for the shear wall model which was proposed by Kabeyasawa and the characteristics of spring models composing TVLEM was studied. In axial stiffness spring model, the horizontal displacements when Kabeyasawa model and simple axial stiffness hysteresis model were used, were closely similar. When the large shear-displacement was occured, stiffness degrading model was more adquate to the shear wall modelling than OOHM. Also for the purpose of modelling the horizontally continuous wall, the seperational method for TVLEM was used. The results of nonlinear analysis by this method were closely similar to experimental results .

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