• 제목/요약/키워드: Nonlinear elastic model

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회복탄성계수 예측모델을 이용한 철도노반의 거동 분석 (An Analysis of Railroad Trackbed Behavior Using Resilient Modulus Prediction Models)

  • 박철수;정재우;오상훈;김은정;목영진
    • 한국철도학회:학술대회논문집
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    • 한국철도학회 2008년도 춘계학술대회 논문집
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    • pp.1712-1723
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    • 2008
  • In the trackbed design using an elastic multi-layer model, the stress-dependent resilient modulus is the key input parameter, which reflects substructure performance under repeated traffic loading. The prediction models of resilient modulus of crushed stone and weathered granite soil were developed from nonlinear dynamic stiffness, which can be combined by in-situ and laboratory seismic measurements. The models accommodate the variation with the deviatoric and/or bulk stresses. To investigate the performance of the prediction models proposed, the elastic response of the test trackbed near PyeongTaek, Korea was evaluated using a 3-D nonlinear elastic computer program (GEOTRACK) and compared with measured elastic vertical displacement caused by the passages of freight and passenger trains. The material types of the test sub-ballasts are crushed stone and weathered granite soil, respectively. The calculated vertical displacements within the sub-ballasts are within the order of 1mm, and agree well with measured values with the reasonable margin. The prediction models are thus concluded to work properly in the preliminary investigation.

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콘크리트 회전형 기둥의 비선형 횡방향 거동 및 단면응력 분포 분석 (Nonlinear Lateral Behavior and Cross-Sectional Stress Distribution of Concrete Rocking Columns)

  • 노화성;황웅익;이후석;이종세
    • 콘크리트학회논문집
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    • 제24권3호
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    • pp.285-292
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    • 2012
  • 일반적으로 콘크리트 구조물은 보와 기둥이 서로 강결되어 있으며, 이러한 경우 강진에 의해 연결부에서 심각한 손상이 발생할 수 있다. 이를 저감시키면서 내진성능을 향상시키기 위한 다양한 연결 형태가 연구되어지고 있다. 그 한 예로 연결부에서의 회전을 허용하는 연결형식이 있으며 보나 기둥, 그리고 전단벽에 응용되고 있다. 이러한 회전형 구조요소들은 횡방향 거동시 비선형 힘-변위 관계를 나타내는데, 그 원인은 연결부의 회전으로 인한 접촉면의 깊이(contact depth)가 줄어듦과 동시에 요소의 각 단면에서의 응력이 비선형적으로 분포되는 탄성힌지 구간이 존재하기 때문이다. 이 연구에서는 축방향 하중(공칭강도의 5%와 10%)과 경계조건(양단구속 형식, 캔틸레버 형식), 세장비(L/d = 5, 7, 10) 등의 변수를 고려한 유한요소해석을 통해 회전형 기둥의 탄성힌지 구간 또는 길이를 분석하였다. 그 결과 이 세가지 변수는 탄성힌지길이 변화에는 직접적인 영향을 주지 않았으며 다만 접촉면의 깊이에 의해 지배됨을 알 수 있었다. 이 탄성힌지길이는 opening state부터 발생하기 시작하여 rocking point까지(pre-rocking 구간) 증가하였으나 그 이후(post-rocking 구간)에서는 일정한 값을 보였다. 탄성힌지길이에 대한 유한요소해석 결과를 이론적 예측식인 반무한모델(half space model)의 결과와 비교하였다.

Beam finite element model of a vibrate wind blade in large elastic deformation

  • Hamdi, Hedi;Farah, Khaled
    • Wind and Structures
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    • 제26권1호
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    • pp.25-34
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    • 2018
  • This paper presents a beam finite element model of a vibrate wind blade in large elastic deformation subjected to the aerodynamic, centrifugal, gyroscopic and gravity loads. The gyroscopic loads applied to the blade are induced by her simultaneous vibration and rotation. The proposed beam finite element model is based on a simplex interpolation method and it is mainly intended to the numerical analysis of wind blades vibration in large elastic deformation. For this purpose, the theory of the sheared beams and the finite element method are combined to develop the algebraic equations system governing the three-dimensional motion of blade vibration. The applicability of the theoretical approach is elucidated through an original case study. Also, the static deformation of the used wind blade is assessed by appropriate software using a solid finite element model in order to show the effectiveness of the obtained results. To simulate the nonlinear dynamic response of wind blade, the predictor-corrector Newmark scheme is applied and the stability of numerical process is approved during a large time of blade functioning. Finally, the influence of the modified geometrical stiffness on the amplitudes and frequencies of the wind blade vibration induced by the sinusoidal excitation of gravity is analyzed.

강한 측력이 작용하는 피스톤 펌프의 왕복동 피스톤 기구 부에서의 윤활모형에 관한 연구 (Lubrication Modeling of Reciprocating Piston in Piston Pump with High Lateral Load)

  • 신정훈;정동수;김경웅
    • Tribology and Lubricants
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    • 제30권2호
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    • pp.116-123
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    • 2014
  • The objective of this study is to model and simulate the nonlinear lubrication performance of the sliding part between the piston and cylinder wall in a hydrostatic swash-plate-type axial piston pump. A numerical algorithm is developed that facilitates simultaneous calculation of the rotating body motion and fluid film pressure to observe the fluid film geometry and power loss. It is assumed that solid asperity contact, so-called mixed lubrication in this study, invariably occurs in the swash-plate-type axial piston pump, which produces a higher lateral moment on the pistons than other types of hydrostatic machines. Two comparative mixed lubrication models, rigid and elastic, are used to determine the reaction force and sliding friction. The rigid model does not allow any elastic deformation in the partial lubrication area. The patch shapes, reactive forces, and virtual local elastic deformation in the partial lubrication area are obtained in the elastic contact model using a simple Hertz contact theory. The calculation results show that a higher reaction force and friction loss are obtained in the rigid model, indicating that solid deformation is a significant factor on the lubrication characteristics of the reciprocating piston part.

The modal characteristics of non-uniform multi-span continuous beam bridges

  • Shi, Lu-Ning;Yan, Wei-Ming;He, Hao-Xiang
    • Structural Engineering and Mechanics
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    • 제52권5호
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    • pp.997-1017
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    • 2014
  • According to the structure characteristics of the non-uniform beam bridge, a practical model for calculating the vibration equation of the non-uniform beam bridge is given and the application scope of the model includes not only the beam bridge structure but also the non-uniform beam with added masses and elastic supports. Based on the Bernoulli-Euler beam theory, extending the application of the modal perturbation method and establishment of a semi-analytical method for solving the vibration equation of the non-uniform beam with added masses and elastic supports based is able to be made. In the modal subspace of the uniform beam with the elastic supports, the variable coefficient differential equation that describes the dynamic behavior of the non-uniform beam is converted to nonlinear algebraic equations. Extending the application of the modal perturbation method is suitable for solving the vibration equation of the simply supported and continuous non-uniform beam with its arbitrary added masses and elastic supports. The examples, that are analyzed, demonstrate the high precision and fast convergence speed of the method. Further study of the timesaving method for the dynamic characteristics of symmetrical beam and the symmetry of mode shape should be developed. Eventually, the effects of elastic supports and added masses on dynamic characteristics of the three-span non-uniform beam bridge are reported.

콘크리트의 탄-소성 이방성-손상 모델 (Elasto-Plastic Anisotropic-Damage Model for Concrete)

  • 이기성;송하원
    • 전산구조공학
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    • 제9권1호
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    • pp.65-76
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    • 1996
  • 콘크리트의 미세공극 혹은 미세균열의 발생과 성장은 콘크리트의 점차적인 물성 저하를 야기한다. 이와같은 손상은 이방성을 가지며 소성과 함께 콘크리트의 비선형거동을 일으키는 주요원인이 된다. 본 논문은 콘크리트의 탄소성 변형 및 손상을 고려하여 콘크리트의 이방성 손상거동을 해석할 수 있는 콘크리트 연속체 손상모델의 개발에 관한 연구이다. 등가 탄성 에너지원리를 이용하여 이방 손상텐서로 표현된 유효탄성텐서를 구하고, 이를 포함하고 있는 열역학 법칙의 자유에너지함수와 소산포텐셜로부터 손상의 전개법칙을 유도한 후, 손상에너지해방률의 함수로 표현한 손상면을 적용하므로써 콘크리트의 이상성손상을 효율적으로 해석 할 수 있는 구성방정식을 유도하였다. 또한 이방성 손상모델에 콘크리트의 소성모델을 도입시켜 탄소성 변형 및 손상을 함께 고려할 수 있는 콘크리트의 연속체 손상모델을 개발하였다. 개발된 손상모델을 유한요소해석 프로그램에 적용하여 1축 및 2축의 여러 조합응력을 받는 콘크리트 모형을 유한요소해석하였으며, 실험결과 또는 타 모델과의 비교로부터 손상모델의 타당성을 검증하였다.

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Post-buckling responses of elastoplastic FGM beams on nonlinear elastic foundation

  • Trinh, Thanh-Huong;Nguyen, Dinh-Kien;Gan, Buntara S.;Alexandrov, S.
    • Structural Engineering and Mechanics
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    • 제58권3호
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    • pp.515-532
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    • 2016
  • The elastoplastic response of functionally graded material (FGM) beams resting on a nonlinear elastic foundation to an eccentric axial load is investigated by using the finite element method. The FGM is assumed to be formed from ceramic and metal phases with their volume fraction vary in the thickness direction by a power-law function. A bilinear elastoplastic behavior is assumed for the metallic phase, and the effective elastoplastic properties of the FGM are evaluated by Tamura-Tomota-Ozawa (TTO) model. Based on the classical beam theory, a nonlinear finite beam element taking the shift in the neutral axis position into account is formulated and employed in the investigation. An incremental-iterative procedure in combination with the arc-length control method is employed in computing the equilibrium paths of the beams. The validation of the formulated element is confirmed by comparing the equilibrium paths obtained by using the present element and the one available in the literature. The numerical results show that the elastoplastic post-buckling of the FGM beams is unstable, and the post-buckling strength is higher for the beams associated with a higher ceramic content. Different from homogeneous beams, yielding in the FGM beam occurs in the layer near the ceramic layer before in the layer near metal surface. A parametric study is carried out to highlight the effect of the material distribution, foundation support and eccentric ratio on the elastoplastic response of the beams.

Compressive Creep Behavior of Fruits

  • Kim, M.S.;Park, J.M.
    • 한국농업기계학회:학술대회논문집
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    • 한국농업기계학회 1993년도 Proceedings of International Conference for Agricultural Machinery and Process Engineering
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    • pp.1329-1339
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    • 1993
  • Creep tests were performed to determine the nonlinear viscoelastic properties of apples and pears with the creep experiment apparatus designed in this study. Compressive creep characteristics of fruits were tested at two kinds of storage conditions, four periods of storage and three levels of initial stress. Ten replications were made at each treatment combination. The creep behavior of the fruits could be well described by the nonlinear viscoelastic model as a function of initial stress and time. however, for each level of initial stress applied, the compressive behavior of the samples was satisfactorily represented by Burger's model. For all sample fruits, the longer the samples was stored, the higher the instantaneous elastic strain was observed, and the creep progressed at a high rate. These phenomena were even more remarkable on the fruit stored at the normal temperature storage rather than at the low temperature storage.

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Investigating nonlinear static behavior of hyperelastic plates using three-parameter hyperelastic model

  • Afshari, Behzad Mohasel;Mirjavadi, Seyed Sajad;Barati, Mohammad Reza
    • Advances in concrete construction
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    • 제13권5호
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    • pp.377-384
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    • 2022
  • The present paper deals with nonlinear deflection analysis of hyperelastic plates rested on elastic foundation and subject to a transverse point force. For modeling of hyperelastic material, three-parameter Ishihara model has been employed. The plate formulation is based on classic plate theory accounting for von-Karman geometric nonlinearity. Therefore, both material and geometric nonlinearities have been considered based on Ishihara hyperelastic plate model. The governing equations for the plate have been derived based on Hamilton's rule and then solved via Galerkin's method. Obtained results show that material parameters of hyperelastic material play an important role in defection analysis. Also, the effects of foundation parameter and load location on plate deflections will be discussed.

1:5 축소 10층 벽식 RC 공동주택 모델의 진동대실험 응답에 대한 해석적 모사 (Analytical Simulation of Shake-Table Responses of a 1:5 Scale 10-story Wall-type RC Residential Building Model)

  • 이한선;정다훈;황경란
    • 한국전산구조공학회논문집
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    • 제24권6호
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    • pp.617-627
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    • 2011
  • 본 논문은 기 수행된 1:5축소 10층 RC 공동주택의 지진모의 실험결과에 비추어 근래 개발된 PERFORM-3D를 이용하여 해석적 모사를 시도하였다. 해석과 실험의 상관관계 분석에 의해 다음과 같은 결론을 얻었다. (1) 재현주기 50년 지진에 대해 실험과 해석이 매우 유사한 탄성거동을 보였다. 반면 우리나라의 설계지진과 최대지진에 대해서는 비선형 거동을 보이긴 하지만 실험의 최대응답과 강성 및 강도 저하를 제대로 모사하지 못하였다. 이의 주된 이유는 슬라브 거동을 탄성으로 가정하였기 때문이라고 판단된다. (2) 탄성영역 거동에 대해 해석모델이 전체 거동을 비교적 잘 모사하는 반면, 벽체 상호간에 걸친 힘의 분포에 있어서 실험과 상당한 차이를 보여주었다. (3) 최대지진에서 벽체의 전단변형은 비교적 잘 모사한 반면 휨변형의 경우 10배정도 과장되었다. 이는 일부 해석모델에서 인방보를 무시한 결과로 추정된다.