• 한국정밀공학회지
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• 제17권2호
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• pp.201-210
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• 2000

The large deflection of plate is analyzed by co-rotational formulations using small local displacements and rotating unit vectors on the nodal points. The rotational degrees of the freedom are represent ed by the unit vectors1 In the nodal points, and the equilibrium equations are formulated by using small deflection theories of the plates by assuming that the directions of the unit vectors of the nodal points are known apriori. The translational degrees of freedom are independently solved from the rotational degrees of freedom in the equilibrium equations, and the correct directions of the unit vectors are computed by the iterative scheme by imposing the moment equilibrium constraint. The equilibrium equations and the associated solution procedure are explained, and the verification problems are solved.

• Structural Engineering and Mechanics
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• 제51권6호
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• pp.955-971
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• 2014

Large post-buckling behavior of Timoshenko beams subjected to non-follower axial compression loads are studied in this paper by using the total Lagrangian Timoshenko beam element approximation. Two types of support conditions for the beams are considered. In the case of beams subjected to compression loads, load rise causes compressible forces end therefore buckling and post-buckling phenomena occurs. It is known that post-buckling problems are geometrically nonlinear problems. The considered highly non-linear problem is solved considering full geometric non-linearity by using incremental displacement-based finite element method in conjunction with Newton-Raphson iteration method. There is no restriction on the magnitudes of deflections and rotations in contradistinction to von-Karman strain displacement relations of the beam. The beams considered in numerical examples are made of lower-Carbon Steel. In the study, the relationships between deflections, rotational angles, critical buckling loads, post-buckling configuration, Cauchy stress of the beams and load rising are illustrated in detail in post-buckling case.

• 대한기계학회:학술대회논문집
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• 대한기계학회 2003년도 춘계학술대회
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• pp.705-710
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• 2003

Many papers have studied computer simulations of elastic bodies undergoing large deflections and large deformations. But there have not been many attempts to check the validity of the numerical formulations because the simulation results could not be matched without correct input data such as material properties and damping effects. In this paper, these values are obtained from real experiment with a high-speed camera and a data acquisition system. The simulation results with the absolute nodal coordinate formulation (ANCF) are compared with the results of real experiments. Two examples, a thin cantilever beam and a thin plate, are studied to verify whether the simulation results are well matched to experimental results.

• Journal of Mechanical Science and Technology
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• 제18권5호
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• pp.742-752
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• 2004

Many papers have studied computer simulations of elastic bodies undergoing large deflections and large deformations. But there have not been many attempts to check the validity of the numerical formulations because the simulation results could not be matched without correct input data such as material properties and damping effects. In this paper, these values are obtained from real experiment with a high-speed camera and a data acquisition system. The simulation results with the absolute nodal coordinate formulation (ANCF) are compared with the results of real experiments. Two examples, a thin cantilevers beam and a thin plate, are studied to verify whether the simulation results are well matched to experimental results.

• 한국기계연구소 소보
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• 통권18호
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• pp.131-136
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• 1988

A small-deflected beam can be easily solved by assuming a linear system. But a large-deflected beam can not be solved by superposition of the displacements, because the system is nonlinear. The solutions for the large-deflection problems can not be obtained directly from elementary beam theory for linearized systems since the basic assumptions are no longer valid. Specifically, elementary theory neglects the square of the first derivative in the beam curvature formula and provides no correction for the shortening of the moment-arm cause by transverse deflection. These two effects must be considered to analyze the large deflection. Through the correction of deflected geometry and internal axial force, the proposed new approach is developed from the linearized beam theory. The solutions from the proposed approach are compared with exact solutions.

• 한국터널지하공간학회 논문집
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• 제9권4호
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• pp.331-341
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• 2007

기존터널에 근접 굴착 할 때 발생하는 흙막이벽체의 수평변위를 억제시키기 위해 버팀대에 선행하중을 가했다. 이러한 목적으로 흙막이벽체에 큰 선행하중을 가할 수 있는 새로운 선행하중 시스템을 모형시험에 적용하였다. 대형 시험은 폭 2.0m, 높이 6.0m, 길이 4.0m인 모형 토조에서 수행하였고 시험지반은 모래로 조성하였다. 직경 1.2m인 모형 터널은 시험지반 굴착 전에 설치하고 지반을 조성한 후에 모형터널에 근접해서 흙막이벽체를 설치하고 시험지반을 굴착하면서 모형 터널과 흙막이벽체 및 지반의 거동을 측정하였다. 이때에 선행하중 재하효과를 확인하기 위하여 선행하중을 가하지 않는 시험은 물론 선행하중을 가하여 흙막이벽체의 수평변위를 억제하는 시험을 실시하였고 수치해석을 실시하여 대형 시험결과와 비교하였다. 그 결과 선행하중을 설계축력 이상으로 적용시켜 흙막이벽체의 수평변위를 감소시켰을 때 벽체 배면에 있는 기존 터널의 안정성이 크게 향상되는 것을 확인할 수 있었다.

• 한국구조물진단유지관리공학회 논문집
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• 제14권2호
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• pp.97-105
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• 2010

시공단계에 따른 강상판교의 변위를 측정하였고, 이 결과와 비교하기 위하여 3차원 구조해석을 수행하였다. 검증된 모델을 사용하여 대블럭 시공법에 의한 시공단계에 따른 3차원 구조해석을 수행하여 다음과 같은 결론을 얻었다. 1. 설계에 사용된 Grid 해석과 3차원 해석에 의한 결과를 비교하면, Grid 해석의 결과는 곡선교의 변위를 모사하는데 한계가 있었으며, 두 가지 해석방법에 의한 변위의 차이는 약 10~20%정도였다. 2. 가설중에 일어날 수 있는 최대 처짐은 완료된 상태의 처짐에 비하여 1.7배까지 크게 발생하였다. 3. 시공단계 해석 결과, 블록시공법에 의하여 시공되는 교량의 거동은 전체 구조물이 일체로 되어 한 번에 거치되는 교량과는 다른 결과가 도출되며, 중간의 가설과정에서는 설계시 고려된 응답보다 더 큰 결과가 도출되고 있으므로, 설계시 시공단계를 고려한 해석을 통하여 합리적인 구조설계가 이루어져야 한다.

• 한국항공우주학회지
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• 제44권1호
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• pp.1-11
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• 2016

큰 가로세로비를 가지는 유연날개의 변형정보는 구조 건전성 평가를 위한 실시간 모니터링에 필요하다. 비행 중인 날개 구조 대변형은 날개 외피의 변형률과 곡률의 관계식을 기반으로 한 비선형 변위 예측 알고리즘을 통해 예측될 수 있다. 그러나 동체에 고정된 날개의 기하학적인 형상으로 인하여 고정단 부근에서의 변형률 분포는 복잡한 양상을 나타내며, 변형률 센서가 부착된 센싱라인의 코드방향 위치에 따라 변위가 다르게 예측될 수 있다. 본 논문에서는 스팬방향 변형률의 보정을 통하여 변형률 센싱라인의 코드방향 위치에 관계없이 예측변위의 정확도를 향상시키는 연구를 수행하였다. 변형률 보정을 위하여 스팬방향 및 코드방향 변형률의 비, 재료의 포아송비, 보와 평판 모델의 변형률 비를 이용하였다. 보정된 변형률을 이용하여 예측한 변위는 해석변위와 잘 일치하였으며, 이를 실험을 통하여 검증하였다.

• 한국복합재료학회:학술대회논문집
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• 한국복합재료학회 2003년도 추계학술발표대회 논문집
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• pp.167-170
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• 2003

In this paper, the electromechanical displacements of curved actuators using laminated composites are calculated by finite element method to design the optimal configuration of curved actuators. To predict the pre-stress in the device due to the mismatch in coefficients of thermal expansion, the carbon-epoxy and glass- epoxy as well as PZT ceramic is also numerically modeled by using hexahedral solid elements. Because the modeling of these thin layers causes the numbers of degree of freedom to increase, large-scale structural analyses are performed in a cluster system in this study. The curved shape and pre-stress in the actuator are obtained by the cured curvature analysis. The displacement under the piezoelectric force by an applied voltage is also calculated to compare the performance of curved actuator. The thickness of composite is chosen as design factor.

• 한국추진공학회:학술대회논문집
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• 한국추진공학회 1995년도 제4회 학술강연회논문집
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• pp.141-153
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• 1995

An incremental Total Lagrangian Formulation is implemented for the finite element analysis of laminated composite pressure vessel with consideration of the material and geometric nonlinearities. For large displacements/large rotations due to geometric nonlinearities, the incremental equations are derived using a quadratic approximation for the increment of the reference vectors in terms of the nodal rotation increments. This approach leads to a complete tangent stiffness matrix. For material nonlinearity, the analysis is performed by using the piecewise linear method, taking account of the nonlinear shear stress-strain relation. The results of numerical tests include the large deflection behavior of the selected composite shell problem. When compared with the previous analysis, tile results are in good agreement with them. As a practical example, filament wound pressure vessel is analyzed with consideration of the geometrically and materially nonlinearity. The numerical results agree fairly well with the existing experimental results.