• Structural Engineering and Mechanics
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• 제15권2호
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• pp.199-223
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• 2003

The formulation of a non-linear shear deformable shell element is presented for the solution of stability problems of stiffened plates and shells. The formulation of the geometrical stiffness presented here is exactly defined on the midsurface and is efficient for analyzing stability problems of thick plates and shells by incorporating bending moment and transverse shear resultant force. As a result of the explicit integration of the tangent stiffness matrix, this formulation is computationally very efficient in incremental nonlinear analysis. The element is free of both membrane and shear locking behaviour by using the assumed strain method such that the element performs very well in the thin shells. By using six degrees of freedom per node, the present element can model stiffened plate and shell structures. The formulation includes large displacement effects and elasto-plastic material behaviour. The material is assumed to be isotropic and elasto-plastic obeying Von Mises's yield condition and its associated flow rules. The results showed good agreement with references and computational efficiency.

• 대한토목학회논문집
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• 제13권2호
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• pp.41-49
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• 1993

2차원 곡선보요소를 이용하여 대변형효과 및 탄소성거동을 고려한 유한요소법을 제시한다. Total Lagrangian 방법을 적용하며, 보요소는 평면응력요소로부터 유도된다. 또한, 임의의 단면을 갖는 평면뼈대 구조의 탄소성 해석을 수행하기 위하여 layered approach를 사용한다. 비선형 유한요소해석은 하중증분 또는 변위증분법을 적용한다. 본 연구에서 제안한 보요소의 거동과 정확도를 검증하기 위하여, 다른 문헌의 결과와 본 연구의 결과를 비교 분석한 해석예제를 제시한다.

• Structural Engineering and Mechanics
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• 제35권1호
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• pp.67-82
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• 2010

The beam string structure (BSS) has been widely applied in large span roof structures, while no analytical solutions of BSS were derived for it in the existing literature. In the first part of this paper, calculation formulas of displacement and internal forces were obtained by the Ritz-method for the most commonly used arc-shaped BSS under the vertical uniformly distributed load and the prestressing force. Then, the failure mode of BSS was proposed based on the static equilibrium. On condition the structural stability was reliable, BSS under the uniformly distributed load would fail by tensile strength failure of the string, and the beam remained in the elastic or semi-plastic range. On this basis, the limit load of BSS was given in virtue of the elastic solutions. In order to verify the linear elastic and limit state solutions proposed in this paper, three BSS modal were tested and the corresponding elastoplastic large deformation analysis was performed by the ANSYS program. The proposed failure mode of BSS was proved to be correct, and the analytical results for the linear elastic and limit state were in good agreement with the experimental and FEM results.

• 한국전산구조공학회논문집
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• 제30권1호
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• pp.1-6
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• 2017

본 논문에서는 비교적 최근 정립된 co-rotational 이론을 기반으로 한 4절점 평면요소 정식화를 확장하여 9절점 평면 요소에 적합한 CR 정식화를 제시하고자 한다. 그리고 등방성 재료의 소성 해석을 위해, 선형 경과 규칙(bi-linear hardening rule)을 바탕으로 하는 Newton-Raphson return-mapping 알고리즘을 적용하였다. 이때, von Mises 기준을 적용하여 소성 변형 상태를 예측하였다. Lagrange 승수를 도입하여 2차원 접촉에 대한 구속조건을 부여하였다. 개발한 요소는 상용프로그램인 ABAQUS 해석결과와 비교 검증하였다.

• 한국지반공학회논문집
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• 제16권4호
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• pp.183-190
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• 2000

본 연구에서는 피에조콘 시험의 유한요소해석을 점탄소성 bounding surface 구성모델과 large displacement large deformation 개념을 이용하여 수행하였다. 이에 따라 구성모델, 가상일의 방정식 및 관련 유한요소 식 등을 Updated Lagrangian reference frame에서 formulation 하였으며 지반의 거동은 theory of mixtures를 통하여 설명하였다. Theory of mixtures 역시 Updated Lagrangian reference frame에서 formulation하였다. 구성모델 중 점성 부분이 전체 formulation 과정에 중요한 영향을 미친다는 사실이 고찰되었다. 유한요소 해석의 결과는 실내에서 실시한 대형 모델시험의 결과와 비교, 분석하였다. Formulation 과정은 'I' 결과는 'II'에서 설명된다.

• Structural Engineering and Mechanics
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• 제5권5호
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• pp.491-505
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• 1997

This paper deals with the formulation and solution of a wide class of structures, in the presence of both geometric and material nonlinearities, as a particular mathematical programming problem. We first present key ideas for the nonholonomic (path dependent) rate formulation for a suitably discretized structural model before we develop its computationally advantageous stepwise holonomic (path independent) counterpart. A feature of the final mathematical programming problem, known as a nonlinear complementarity problem, is that the governing relations exhibit symmetry as a result of the introduction of so-called nonlinear "residuals". One advantage of this form is that it facilitates application of a particular iterative algorithm, in essence a predictor-corrector method, for the solution process. As an illustrative example, we specifically consider the simplest case of plane trusses and detail in particular the general methodology for establishing the static-kinematic relations in a dual format. Extension to other skeletal structures is conceptually transparent. Some numerical examples are presented to illustrate applicability of the procedure.

• Advances in Computational Design
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• 제4권4호
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• pp.397-413
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• 2019

In this paper, static nonlinear analysis of gable frame is performed using OpenSees software. Both geometric and material nonlinearities are considered in analyses. To consider large displacements, co-rotational coordinate transformation is used in software. The effects of symmetric and asymmetric support conditions including clamped and simple supports are studied. On the other hand, the material nonlinearity is reflected on analyses using Giuffre-Menegotto-Pinto steel material. Note that strain hardening characteristics are also considered in this model. Moreover, I-shaped cross-section is assumed for all members. The results are provided for different geometry properties of gable frame including shallow and deep inclined roof. It should be added that buckling and post-buckling behaviors of gable frame are investigated using related equilibrium paths. A comparison study is also implemented on the responses of buckling loads obtained for different support and geometry conditions. To trace snap-through paths completely, a displacement control method entitled arc-length is utilized. Findings show the capability of proposed model in nonlinear analysis of gable frames.

• Earthquakes and Structures
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• 제1권4호
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• pp.327-344
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• 2010

This paper summarizes results of a comprehensive analytical study aimed at evaluating the influence of strong ground motion duration on residual displacement demands of single-degree-of-freedom (SDOF) and multi-degree-of-freedom (MDOF) systems. For that purpose, two sets of 20 earthquake ground motions representative of short-duration and long-duration records were considered in this investigation. While the influence of strong ground motion duration was evaluated through constant-strength residual displacement ratios, $C_r$, computed from the nonlinear response of elastoplastic SDOF systems, its effect on the amplitude and height-wise distribution of residual drift demands in MDOF systems was studied from the response of three one-bay two-dimensional generic frame models. In this investigation, an inelastic ground motion intensity measure was employed to scale each record, which allowed reducing the record-to-record variability in the estimation of residual drift demands. From the results obtained in this study, it was found that long strong-motion duration records might trigger larger median $C_r$ ratios for SDOF systems having short-to-medium period of vibration than short strong-motion duration records. However, taking into account the large record-to-record variability of $C_r$, it was found that strong motion duration might not be statistically significant for most of the combinations of period of vibration and levels of lateral strength considered in this study. In addition, strong motion duration does not have a significant influence on the amplitude of peak residual drift demands in MDOF systems, but records having long strong-motion duration tend to increase residual drift demands in the upper stories of long-period generic frames.

• International Journal of Reliability and Applications
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• 제17권2호
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• pp.137-147
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• 2016

The engine mount of a car subjected to a pre-load related to the weight of the engine, and acts to insulate the vibration coming from the engine by moving on large or small displacement depending on the driving condition of the car. The vibration insulation of the engine mount is an effect obtained by dissipating the mechanical energy into heat by the viscosity characteristic of the rubber and the microscopic behavior of the additive carbon black. Therefore, dynamic stiffness from the intrinsic properties of rubber filled with carbon black at the design stage is an important design consideration. In this paper, we introduced a hyper-elastic, visco-elastic and elasto-plastic model to predict the dynamic characteristics of rubber, and developed a fitting program to determine the material model parameters using MATLAB. The dynamic characteristics analysis of the rubber insulator of the ACTIVE MOUNT was carried out by using MSC.MARC nonlinear structural analysis software, which provides the dynamic characteristics material model. The analysis results were compared with the dynamic characteristics test results of the rubber insulator, which is one of the active mount components, and the analysis results were confirmed to be valid.

• 한국지반공학회논문집
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• 제39권5호
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• pp.51-63
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• 2023

계절성 동토의 온도 변화에 따른 융해 및 동결작용에 의한 지반의 거동이 말뚝 기초의 변위 및 지지력에 끼치는 영향을 파악하기 위한 수치해석을 수행하였다. 수치해석은 온도 변화에 따른 지반-말뚝 상호작용을 모사하기 위해 유한요소법 기반의 TM 모델링(Thermo-Mechanical coupled Modeling)을 적용하였으며, 동결 지반은 온도 의존적 비선형 물성을 적용하였다. 지반의 구성 모델은 소성 거동을 모사하기 위한 MCR 모델(Mohr Coulomb with Rankine Tensile cut-off Model)과 HDP 모델(Nonlinear Hyperbolic Drucker-Prager Model)을 각각 적용하였으며, 말뚝의 길이 및 너비 조건을 선정해 수치해석 결과를 비교 및 분석하였다. 수치해석 결과는 HDP 구성 모델이 비교적 작은 지반 거동과 지지력을 보였으나, 전체적으로는 말뚝의 길이 및 너비 조건에 따라 지지력 및 말뚝 머리의 변위 결과의 양상과 그 크기는 유사하게 나타났다. 지반의 융해-동결작용으로 인한 말뚝 머리(pile head)의 수직 변위는 길이 조건이 짧을수록 변위의 변화 폭이 크게 나타났다. 수직 변위는 길이 조건에 따라 MCR 구성 모델에서는 최대 0.0387m의 융해 침하와 0.0277m의 동결 융기가 발생했으며, HDP 구성 모델에서는 최대 0.0367m의 융해 침하와 0.0264m의 동결 융기가 발생했다. 또한 두 탄소성 모델에 대한 말뚝의 지지력 결과는 말뚝의 길이 조건보다 너비 조건에서 더 큰 차이를 보였으며, 너비 조건 L에서 최대 약 14.7%, M에서 최대 약 5.4%, S에서 최대 약 5.3%가 발생하였다. 이에 말뚝 머리의 수직 변위와 말뚝의 지지력은 말뚝-지반의 접촉 면적에 영향을 크게 받으며, 지반 내 활성층의 활성도에 따라 차이를 보였다.