• 제목/요약/키워드: Nonlinear material function

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등가하중을 이용한 원자로 핵연료봉 지지격자 스프링의 비선형 응답 구조 최적설계 (Nonlinear Response Structural Optimization of a Nuclear Fuel Rod Spacer Grid Spring Using the Equivalent Load)

  • 김도원;이현아;송기남;김용일;박경진
    • 대한기계학회:학술대회논문집
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    • 대한기계학회 2007년도 춘계학술대회A
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    • pp.694-699
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    • 2007
  • The spacer grid set is a part of a nuclear fuel assembly. The set has a spring and the spring supports the fuel rods safely. Although material nonlinearity is involved in the deformation of the spring,nonlinearity has not been considered in design of the spring. Recently a nonlinear response structural optimization method has been developed using equivalent loads. It is called nonlinear response optimization equivalent loads (NROEL). In NROEL, the external loads are teansformed to the equivalent loads (EL) for linear static analysis and linear response optimization is carried out based on the EL in a cyclic manner until the convergence criteria are satisfied. EL is the load set which generates the same response no EL. The objective function is defined by minimizing the maximum stress in the spring while is limited and the support force of the spring is larger than a certain value. The results are verified by nonlinear. ABAQUS is used for nonlinear response analysis and GENESIS is employed for linear response optimization.

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Optimal Design of Nonlinear Squeeze Film Damper Using Hybrid Global Optimization Technique

  • Ahn Young-Kong;Kim Yong-Han;Yang Bo-Suk;Ahn Kyoung-Kwan;Morishita Shin
    • Journal of Mechanical Science and Technology
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    • 제20권8호
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    • pp.1125-1138
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    • 2006
  • The optimal design of the squeeze film damper (SFD) for rotor system has been studied in previous researches. However, these researches have not been considering jumping or nonlinear phenomena of a rotor system with SFD. This paper represents an optimization technique for linear and nonlinear response of a simple rotor system with SFDs by using a hybrid GA-SA algorithm which combined enhanced genetic algorithm (GA) with simulated annealing algorithm (SA). The damper design parameters are the radius, length and radial clearance of the damper. The objective function is to minimize the transmitted load between SFD and foundation at the operating and critical speeds of the rotor system with SFD which has linear and nonlinear unbalance responses. The numerical results show that the transmitted load of the SFD is greatly reduced in linear and nonlinear responses for the rotor system.

Fully nonlinear inelastic analysis of rectangular CFST frames with semi-rigid connections

  • Bui, Van-Tuong;Vu, Quang-Viet;Truong, Viet-Hung;Kim, Seung-Eock
    • Steel and Composite Structures
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    • 제38권5호
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    • pp.497-521
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    • 2021
  • In this study, an effective numerical method is introduced for nonlinear inelastic analyses of rectangular concrete-filled steel tubular (CFST) frames for the first time. A steel-concrete composite fiber beam-column element model is developed that considers material, and geometric nonlinearities, and residual stresses. This is achieved by using stability functions combined with integration points along the element length to capture the spread of plasticity over the composite cross-section along the element length. Additionally, a multi-spring element with a zero-length is employed to model the nonlinear semi-rigid beam-to-column connections in CFST frame models. To solve the nonlinear equilibrium equations, the generalized displacement control algorithm is adopted. The accuracy of the proposed method is firstly verified by a large number of experiments of CFST members subjected to various loading conditions. Subsequently, the proposed method is applied to investigate the nonlinear inelastic behavior of rectangular CFST frames with fully rigid, semi-rigid, and hinged connections. The accuracy of the predicted results and the efficiency pertaining to the computation time of the proposed method are demonstrated in comparison with the ABAQUS software. The proposed numerical method may be efficiently utilized in practical designs for advanced analysis of the rectangular CFST structures.

차량현가장치용 일래스토메릭 부시으이 비선형점탄성 모델연구 (I) -축 방향 모드- (A Study of A Nonlinear Viscoelastic Model for Elastomeric Bushing in Automotive Suspension System (I) -Axial Mode-)

  • 이성범
    • 한국자동차공학회논문집
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    • 제7권5호
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    • pp.154-161
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    • 1999
  • An elastomeric bushing is a device used in automotive suspension systems to cushion the force transmitted from the wheel to the frame of the vehicle. A bushing is an elastomeric hollow cylinder which is bonded to a solid metal shaft at its inner surface and a metal sleeve at its outer suface. The relation between the force applied to the shaft or sleeve and their relative deformation is nolinear and exhibits features of viscoelasticity. Numerical solutions of the boundary value problem represent the exact bushing response for use in the method for determining the force relaxation function of the bushing. The new nonlinear viscoelastic bushing model, which is called Pipkin-Rogers model, is proposed and it is shown that the predictions of the proposed force-displacement relation are in very good agreement with the exact results. This new bushing model is thus very suitable for use in multi-body dynamics codes. The success of the present study for axial mode response suggests that the same approach be applied to other modes, such as torsional or radial modes.

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샘플 추출방법에 근거한 비선형 진동계의 성능 불확실성 예측 (Performance Uncertainty Estimation of a Nonlinear Vibration System Based on a Sampling Method)

  • 최찬규;유홍희
    • 한국소음진동공학회:학술대회논문집
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    • 한국소음진동공학회 2009년도 추계학술대회 논문집
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    • pp.113-118
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    • 2009
  • A designer regards the vibration system as a linear system. However, in real world, nonlinearity of a vibration system should exist caused by various factors like manufacturing conditions or uncertain material properties. So, properties of a spring and a damper which are consisting the vibration system have statistical distribution. Therefore, a designer needs to analyze the statistical nonlinearity in a vibration system. In this paper, $1^{st}$ Taylor series expansion method and univariate dimension reduction method apply to a performance measure of nonlinear vibration system, and compare each result. And then, merits and demerits of each method are discussed. For apply more actual problem, a performance measure population is estimated based on design variable samples like properties of spring or damper.

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비선형 유한변형률 압밀이론을 이용한 압밀 해석 프로그램 개발 (Development of a Program for Consolidation Analysis Using Nonlinear Finite Strain Consolidation Theory)

  • 이송;이규환;전제성
    • 한국지반공학회:학술대회논문집
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    • 한국지반공학회 1999년도 연약지반처리위원회 학술세미나
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    • pp.36-47
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    • 1999
  • Terzaghi's theory of one-dimensional consolidation is restricted in its applicability to relatively thin layers and small incremental loading. Because it is assumed to infinitesimal strain and linear material function. For this reason, Gibson et al established a rigorous formulation for the one-dimensional nonlinear finite strain consolidation theory. There are some difficulties in the application of finite strain consolidation theory. The developed program consisted of several forms and modules. These forms and modules with graphic-user-interfaced format are used in analysis of consolidation practices. For the purpose of verification of developed program. the results of case study and prediction of developed program are compared. The results of comparison is fairly well with prediction and measured data. And with varying finite strain consolidation parameter, g(e) or λ(e), the sensitivity of predicted values were examined.

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Thermal buckling analysis of functionally graded sandwich cylindrical shells

  • Daikh, Ahmed Amine
    • Advances in aircraft and spacecraft science
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    • 제7권4호
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    • pp.335-351
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    • 2020
  • Thermal buckling of functionally graded sandwich cylindrical shells is presented in this study. Material properties and thermal expansion coefficient of FGM layers are assumed to vary continuously through the thickness according to a sigmoid function and simple power-law distribution in terms of the volume fractions of the constituents. Equilibrium and stability equations of FGM sandwich cylindrical shells with simply supported boundary conditions are derived according to the Donnell theory. The influences of cylindrical shell geometry and the gradient index on the critical buckling temperature of several kinds of FGM sandwich cylindrical shells are investigated. The thermal loads are assumed to be uniform, linear and nonlinear distribution across the thickness direction. An exact simple form of nonlinear temperature rise through its thickness taking into account the thermal conductivity and the inhomogeneity parameter is presented.

접합부의 비선형 거동을 고려한 공간 강뼈대 구조물의 고등해석과 최적설계 (Advanced analysis and optimal design of space steel frames accounting for nonlinear behavior of connections)

  • 최세휴
    • 한국강구조학회 논문집
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    • 제16권5호통권72호
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    • pp.683-694
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    • 2004
  • 본 논문에서는 접합부의 비선형을 고려한 공간 강뼈대 구조물의 고등해석과 최적설계를 수행하였다. 고등해석은 접합부의 비선형, 기하학적 비선형 및 재료적 비선형을 고려한다. 접합부의 비선형은 Kishi와 Chen이 제안한 3가지 매개변수를 가지는 파워모델을 사용하여 고려하였다. 기하학적 비선형은 안정함수를 사용하여 고려하였으며, 재료적 비선형은 CRC 접선 탄성계수와 포물선 함수를 사용함으로서 고려하였다. 최적화 기법으로는 Choi와 Kim이 제안한 직접탐색법을 사용하였다. 직접탐색법은 LRFD의 상관방정식으로 계산된 값중에서 최대값을 가지는 부재의 크기를 단계별로 증가시키는 방법이다. 목적함수는 구조물의 중량을 사용하였으며, 제약조건식은 구조시스템의 하중-저항능력, 처짐, 층간 수평변위 및 연성요구 조건을 고려하였다. 제안된 방법에 의한 설계결과를 LRFD방법과 비교하였다.

접합부의 비선형 거동을 고려한 강뼈대 구조물의 고등해석과 최적설계 (Advanced analysis and optimal design of steel frames accounting for nonlinear behavior of connections)

  • 최세휴;박문호;송재호;임청권
    • 한국강구조학회 논문집
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    • 제15권6호통권67호
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    • pp.661-672
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    • 2003
  • 본 논문에서는 접합부의 비선형을 고려한 강뼈대 구조물의 고등해석과 최적설계를 수행하였다. 고등해석은 접합부의 비선형, 기하학적 비선형 및 재료적 비선형을 고려한다. 접합부의 비선형은 Kishi와 Chen이 제안한 3가지 매개변수를 가지는 파워모델을 사용하여 고려하였다. 기하학적 비선형은 안정함수를 사용하여 고려하였으며, 재료적 비선형은 CRC 접선 탄성계수와 포물선 함수를 사용함으로서 고려하였다. 최적화 기법으로는 Choi와 Kim이 제안한 직접탐색법을 사용하였다. 직접탐색법은 LRFD의 상관방정식으로 계산된 값중에서 최대값을 가지는 부재의 크기를 단계별로 증가시키는 방법이다. 목적함수는 구조물의 중량을 사용하였으며, 제약조건식은 구조시스템의 하중-저항능력, 처짐, 층간 수평변위 및 연성요구 조건을 고려하였다. 제안된 방법에 의한 설계결과를 LRFD방법과 비교하였다.

스페이스 트러스 구조에 대한 최적화 구조 해석 프로그램의 개발 (Development of Optimum Structural Analysis Program for Space Truss Structures)

  • 손수덕;김명선;김승덕;강문명
    • 한국강구조학회 논문집
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    • 제10권3호통권36호
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    • pp.487-495
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    • 1998
  • 스페이스 프레임 구조물은 내부 기둥이 없는 대공간을 덮을 수 있다는 장점 때문에 현재의 많은 구조가와 설계자들에게 큰 관심을 받고 있다. 본 연구에서 다루는 강성구조 이산화시스템인 스페이스 트러스는 기하학적 비선형항이 포함된 대변형 이론을 이용한 유한요소법을 응력해석 방법으로 사용하며, 비선형최적화에 적합한 GINO(General Interactive Nonlinear Optimizer) 프로그램을 이용하여 구조물에 대한 전체체적을 목적함수로 하고 부재의 축력강도, 세장비, 처짐 및 국부좌굴 등으로 제약조건식을 유도하여 최적 설계를 하고자 한다.

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