• Title/Summary/Keyword: 선형거동

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Analysis of Nonlinear Behavior in Love Model as External Force with Gaussian Fuzzy Membership Function (가우시안 퍼지 소속 함수를 외력으로 가진 사랑 모델에서의 비선형 거동 해석)

  • Bae, Young-Chul
    • Journal of the Korean Institute of Intelligent Systems
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    • v.27 no.1
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    • pp.29-34
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    • 2017
  • Recently, studying chaotic dynamic have been concerned by many researchers in areas of physics, chemistry, mathematics, engineering and social science. Especially, model of addiction, happiness, family and love become major research subjects in the social science. Among these models, love is one of the four emotions that human being have. There are many definitions for love, however, each definitions of love does not coincide with each other. Recently, one of the most important efforts for research is love and it is represented by derivative equation. Then they try to find nonlinear or chaotic behavior from this derivative equation. This paper propose Gaussian fuzzy membership function in order to make external force that are close to action and awareness of human based on love model of Romeo and Juliet with external force. This paper also confirms the existence of nonlinear characteristics through time series and phase portrait.

Nonlinear Effects of a Soft Soil Layer on the Horizontal Seismic Responses of Buildings (건물의 수평방향 내진거동에 미치는 연약지반의 비선형 영향)

  • 김용석
    • Journal of the Earthquake Engineering Society of Korea
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    • v.5 no.2
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    • pp.23-31
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    • 2001
  • 지반 위에 세워진 구조물의 지진응답해석시 지반-구조물 상호작용 영향은 지반으 선형특성을 고려하여 간주되었는데 최근 연구결과에 의하면 구조물 지진해석에서 연약지반의 비선형 특성이 중요한 요소로서 인식되었다. 하지만 지반-구조물계의 복잡한 비선형 특성 때문에 내진설계 기준에서 비선형 지반특성을 고려하기에는 아직도 어려움이 많다. 이 논문에서는 UBC 지반종류 $S_{D}$ 지반 위에 놓인 중규모의 얕은 온통기초와 묻힌 온통기초위에 세워진 건물에 대한 단자유도계 선형 지진해석을 연약지반의 비선형성을 고려하여 최대가속도가 0.17g 과 0.36g 인 Taft E-W 및 El Centro N-S 지진기록을 사용하여 수행하였다. 비선형 지진해석을 결과를 선형해석 결과와 비교하였을 때, 비선형 응답스펙트럼의 최대가속도가 지반의 비선형성 때문에 상당히 줄어드는 것으로 나타나 지반의 비선형성을 고려한 더효율적인 내진설계의 가능성을 보여준다.

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Nonlinear Hysteretic Behavior of Hybrid Steel Beams with Reinforced Concrete Ends (단부 철근콘크리트 중앙부 철골조로 이루어진 혼합구조부의 비선형 이력거동)

  • 이은진;김욱종;문정호;이리형
    • Journal of the Computational Structural Engineering Institute of Korea
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    • v.15 no.2
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    • pp.379-387
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    • 2002
  • This paper presents an analytical model on nonlinear hysteretic behavior of hybrid steel beam with reinforced concrete ends. The modeling method and appropriate coefficients with IDARC2D were proposed from the comparison with previous test results. Since the polygonal model of IDARC2D nay overestimate, new analytical model with the initial stiffness reduction coefficient was proposed. The hysteretic coefficients for the analysis of the hybrid steel beam with reinforced concrete ends were also presented. The analytical results were compared with previous experiments. The initial stiffness and the strength were predicted with less than 5% error and 10% error, respectively.

Nonlinear Analysis in Love Dynamics with Triangular Membership Function as External Force (삼각 퍼지 소속 함수를 외력으로 가진 사랑 동력학에서의 비선형 해석)

  • Bae, Young-Chul
    • Journal of Digital Contents Society
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    • v.18 no.1
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    • pp.217-224
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    • 2017
  • Recently, we have been continued effort that chaotic theory apply into love model which is an area of social science. To make the chaotic behaviors in the differential equation that represent as Romeo and Juliet, we apply an external force to the differential equation. However, this external force have disadvantage that cannot exactly represent for emotion of human. In this paper, to solve these advantage, we introduce triangular fuzzy membership function to provide the external force that can describe most similar status for action and word of human in the love model of Romeo and Juliet. Also, to confirm the chaotic behaviors in the love model of Romeo and Juliet with proposed fuzzy membership function, we use time series and phase plane.

Finite Element Analysis of Thermoforming Process for Axisymmetric System (축대칭형계 열성형공정의 수치모사연구)

  • 이재욱
    • The Korean Journal of Rheology
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    • v.8 no.3_4
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    • pp.215-225
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    • 1996
  • 평판형의 열가소성 수지를 유리전이온도 이상으로 가열한 다음 압력을 가함으로써 원하는 형상의 제품을 성형하는 열성형공정은 대상 수지가 큰 변형을 일으킬 뿐만 아니라 비선형적 거동을 보이게 된다. 따라서 수지의 변형거동 예측과 최적성형조건의 설정에 많은 어려움과 시행착오를 거치게 되는 바, 열성형 공정의 최적화를 위한 연구의 일환으로 원형 평판위 수지를 대상으로 수지의 부풀림 거동과 이에 따른 두께 분포를 예측할수 있는유한요 소법의 수치모사 알고리듬을 개발하고자 하였다. Piola-Kirchhoff 응력 텐서와 Green 변형 텐서 및 lagrangian 변형 텐서를 사용하여 평판상의 응력-변형에 대한 비선형의 에너지 수 지식을 수립하고 Newton-Raphson 반복수렴법을 이용하여 근사적으로 해석하였으며 수지의 유변학적 구성방정식으로는 neo-Hookean 모델, Mooney-Rivlin 모델 및 Ogden 모델등의 초탄성 모델을 사용하여 그결과를 비교하였다. 수치모사에는 두께가 매우 얇기 때문에 두께 방향의 응력변화를 무시할수 있는 membrane 가정을 도입한 2차원적 해석과 두께 방향의 응력 변화를 고려하는 3차원적 해석을 모두 수행하고 그 차이를 비교하였으며 3차원적 해석 의 경우에는 penalty법을 이용하여 비 압축성을 만족하였다. 일차적으로 내압을 받는 두꺼 운 원통계에 대한 수치모사 해석을 수행하고 완전해와 비교함으로써 개발된 수치모사 알고 리듬의 열성형 공정에의 적용 타당성을 검증하였으며 이를 이용하여 원형 평판의 자유부풀 림거동을 예측한 결과 Treloar 등의 실험결과와 잘 부합함을 확인하였다. 또 간단한 형상의 금형이 있는 경우와 반지름 방향으로의 온도변화에 따른 수지의 변형거동을 해석함으로써 실제 열성형 공정에서 요구되고 있는 성형품의 두께 분포를 균일하게 하기 위한 방안을 제 시하였다.

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Time-Dependent Behavior of Partially Composite Beams (부분 강합성보의 시간의존적 거동해석)

  • 곽효경;서영재
    • Journal of the Computational Structural Engineering Institute of Korea
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    • v.13 no.4
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    • pp.461-473
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    • 2000
  • This paper deals with a numerical model for the time-dependent analysis of steel and concrete composite beams with partial shear connection. A linear partial interaction theory is adopted in formulation of structural slip behavior, and the effect of concrete creep and shrinkage are considered. The proposed model is effective in simulating the slip behavior, combined with concrete creep and shrinkage, of multi-span continuous composite beams. Finally, correlation studies and several parameter studies are conducted with the objective to establish the validity of the proposed model.

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A Study on the Nonlinear Buckling Behavior of Thin-Walled Sections (박판단면의 비선형 좌굴거동에 관한 해석적연구)

  • Jin, Chang Sun;Kwon, Young Bong
    • Journal of Korean Society of Steel Construction
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    • v.10 no.3 s.36
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    • pp.407-421
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    • 1998
  • The purpose of this paper is to provide and verify an analytical method, based on the spline finite strip method, which can be used to investigate the buckling mode and stress of thin-walled steel sections. Geometric imperfection and initial stress of plates and plate assemblies, which are resulted from various preloadings and may cause prebuckling deformations before buckling, are included in the analysis. Material nonlinearity and residual stress are also considered. It can be applied to sections with simple or non-simple boundary conditions and arbitrary loading. The method has been applied to investigate the buckling behavior of plates and plate assemblies which are subjected to compression with initial imperfections and residual stresses.

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Numerical Method for Nonlinear Analysis of Composite Shells under Constant Lateral Pressure and Incremented In-plane Compression (일정 횡압력과 증분 압축하중을 동시에 받는 복합재 쉘의 비선형 해석을 위한 수치기법 연구)

  • 김진호;권진희
    • Composites Research
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    • v.13 no.1
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    • pp.69-77
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    • 2000
  • This paper presents a modified arc-length method for the nonlinear finite element analysis of a structure which is loaded in incremental and fixed forces, simultaneously. The main idea of the method is to separate the displacement term by the constant force from that by the incremental force. Presented method is applied to the nonlinear analysis of isotropic shell structures separately loaded by lateral pressure or compression, and shows the excellent agreement with previous results. As an illustrative example of the applicability of the present algorithm, a parametric study is performed on the nonlinear buckling analysis of composite cylindrical panels under the combined load of the incremented compression and the constant lateral pressure.

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Analysis of Nonlinear Vibration for Hybrid Composite Plates (혼합적층판에 대한 비선형 진동해석)

  • 이영신;김영완
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.16 no.12
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    • pp.2306-2314
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    • 1992
  • Using the Lagrangian equation, nonlinear vibration analysis of laminated hybrid composite plates is carried out. The effects of stacking sequences, aspect ratios, number of modes, number of layers and various elastic properties on nonlinear vibration are investigated. The presence of bending-extension coupling in antisymmetric plates yields a second power term in addition to a cubic nonlinear term in governing differential equation of motion. In the other symmetric case, this second term vanishes. The fundamental frequency of analytic results are compared with that of ABAQUS FEM analysis. For nonlinear vibration of antisymmetric unimaterial plate, the result of reference is presented for comparison with this result.

Numerical Analysis of Anisotropic Soil Deformation by the Nonlinear Anisotropic Model (흙의 변형 거동 예측을 위한 비선형 이방성 모델의 개발과 적용)

  • 정충기;정영훈;윤충구
    • Journal of the Korean Geotechnical Society
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    • v.18 no.5
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    • pp.237-249
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    • 2002
  • Nonlinearity and anisotropy of soil should be considered for the exact prediction of deformation before the failure state. In this study, a new constitutive model is developed in which the nonlinearity of soil is formulated by Ramberg-Osgood equation and the soil anisotropy is implemented by the cross-anisotropic elasticity. Nonlinear anisotropic model and other models for comparison are used to analyze the simple boundary value problems and the circular footing problem. In the results, the anisotropic ratio of elastic modulus is a key value for the bulk modulus of soil, the coeffcient of earth pressure at rest, and the slope of effective stress paths. Furthermore, it is found that the nonlinearity of soil considering the in-situ stresses has the great influence on the magnitude of settlements.