• 한국철도학회논문집
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• 제3권2호
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• pp.43-50
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• 2000

The corrugated panels are the prime candidate structure for the floor, roof and wall of Korean high speed train. The equivalent continuum modeling approach panels can be used for the efficient design and evaluation of their structural characteristics. The equivalent continuum models, derived from the true complex corrugated panels, should have the same structural behavior as the original structures have. This paper briefly reviews three representative continuum modeling methods: the static analysis method and two plate-models based on modal analysis methods (MAM). These methods are evaluated through some numerical examples by comparing the natural frequencies and static deflections. It is observed that the plate-model based on Rayleigh-Ritz method seems to provide the best results when used in conjunction with the cantilever-type boundary conditions. The equivalent elastic constants of various corrugated panels, depending on the changes in their configurations, are tabulated for efficient use in structural design.

• 대한기계학회논문집
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• 제19권3호
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• pp.615-622
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• 1995

It may be inefficient to conduct the aeroelastic analysis by using full-scale conventional finite-element analyses or experiments, from the initial design phase, for an aircraft wing which can be considered as the discontinuum complex structure with composite laminated skins. In this paper, therefore more efficient aeroelastic analysis has been conducted for a box-beam typed aircraft wing by using the equivalent continuum beam-rod model which is derived from the concept of energy equivalence. Equivalent structural properties of the continuum beam-rod model are obtained from the direct comparison of the finite-element matrices of continuum beam-rod model with those of box-beam typed aircraft wing. Numerical results by the continuum beam-rod model approach are compared with those by the conventional finite-element analysis approach to show that the continuum beam-rod model proposed herein is quite satisfactory as a simplified model of aircraft wing structure for aeroelastic analyses.

• 대한기계학회논문집
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• 제17권11호
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• pp.2704-2710
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• 1993

A simple and straightforward method is introduced for developing continuum beam-rod model of a box-beam typed aircraft wing with composite layered skin based on "energy equivalence." The equivalent continuum structral properties are obtained from the direct comparison of the reduced stiffness and mass matrices for box-beam typed wing with those for continuum beam-rod model. The stiffness and mass matrices are all represented in terms of the continuum degrees-of freedom defined in this paper. The finite-element method. The advantage of the present continuum method is to give every continuum structural properties including all possible coupling terms which represent the couplings between different deformations. To evaluate the continuum method developed in this paper, free vibration analyses for both continuum beam-rod and box-beam are conducted. Numerical tests show that the present continuum method gives very reliable structural and dynamic properties compared to the results by the conventional finite-element analysis. analysis.

• 대한기계학회논문집
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• 제16권6호
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• pp.1021-1029
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• 1992

본 연구에서는 거대한 평판형 격자구조물에 대한 등가 연속체모델을 유도하기 위한 보다 간편하고 합리적인 방법을 개발하고, 예제해석을 통해 새로이 개발된 방법 의 타당성을 보이는데 있다.

• 터널과지하공간
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• 제27권5호
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• pp.303-311
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• 2017

본 연구는 다양한 기하학적 속성을 갖는 총 72개의 DFN 블록에 대하여 DFN 유동모델과 등가의 수리상수를 사용한 연속체 모델을 각각 적용하여 두 결과 간의 상관성을 분석하였다. DFN을 연속체로 가정한 이론적 블록수리전도도와 DFN 유동모델로 산정한 블록수리전도도 사이의 상대오차(ER)가 0.2 이하인 DFN 조건에서 두 접근법 사이에 강한 선형 관계를 이루며 두 결과가 거의 일치하는 것으로 평가되었다. DFN 매질에 대한 연속체 유동해석의 현장적용 가능성을 검토하기 위하여 다양한 DFN 조건을 갖는 지중 원형공동에서의 지하수 유입에 대한 모의 수치실험이 총 48회 수행되었다. 일정한 수리간극의 DFN 매질에 대한 등가연속체 유동모델은 유효한 것으로 평가되었지만 수리간극 변화로 인하여 이방성이 증대되면 DFN 유동모델에 의한 결과에 비하여 과대평가될 가능성이 높다.

• 한국전산구조공학회:학술대회논문집
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• 한국전산구조공학회 2003년도 봄 학술발표회 논문집
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• pp.227-234
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• 2003

In this study, an equivalent continuum model for single wall carbon nanotube is proposed. The model links interatomic potentials and atom structure of a materials to a constitutive model on the continuum level. The Young's modulus and shear modulus were predicted by the model. The predictions were in good agreement with the prior experimental results available in the literatures. Also, the strain energy of the carbon nanotube was predicted as a function of the radius of the carbon nanotube.

• 한국전산구조공학회:학술대회논문집
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• 한국전산구조공학회 2006년도 정기 학술대회 논문집
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• pp.395-402
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• 2006

In analyzing the nano-scale phenomena or behaviors of nano devices or materials, it is often desirable to deal with more atoms than can be treated only with a full atomistic simulation. However, even now, it is advisable to apply the atomistic simulation to the narrow region where the deformation field changes rapidly but to apply the conventional continuum model to the region far from that region. This equivalent continuum model can be formulated by applying the Cauchy-Born rule to the exact atomistic potential as in the quasicontinuum method. To couple the atomistic model with the equivalent continuum model, continuum displacements are conformed to the molecular displacements at the discrete positions of the atoms within the bridging domain. To satisfy the coupling constraints, we apply the Lagrange multiplier method. The continuum model in the bridging model should be applied on the region where the deformation field changes gradually. Then we can make the nodal spacing in the continuum model be much larger than the atomic spacing. In the first step, we generate the atomic-resolution mesh with the nodal spacing equal to the atomic spacing, and then we eliminate the nodal degrees of freedom adaptively using the node deactivation techniques. We eliminate more DOFs as the regions are more far from the atomistic region. Computing time and computational resources can be greatly reduced by the present node deactivation technique in multi scale analysis.

• 터널과지하공간
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• 제29권5호
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• pp.318-331
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• 2019

본 연구에서는 3차원 불연속균열망을 이용하여 불연속 암반을 모사하여 스미어드 균열 모델을 적용한 불연속 암반의 등가연속체 해석기법에 대해 연구를 실시했다. 연속체 해석 코드인 FLAC3D를 이용하여 모델링을 수행하였고, 해당 적용 모델의 신뢰성을 검증하기 위해 불연속체 해석에 널리 사용되는 3DEC 코드를 통해 모델의 메쉬 사이즈, 불연속면의 밀도 및 불연속면의 간극에 대한 민감도 분석을 함께 실시하여 제안 모델의 신뢰성을 검증할 수 있었다. 본 논문에서 제안된 등가연속체 해석기법을 이용한 불연속 암반의 수리해석에 대한 연구결과는 교통 터널, 석유비축기지, 방사성폐기물 처분장 등의 지하 구조물 설계 및 건설 분야에 기초자료로 활용될 것이라고 판단된다.

• 한국농공학회논문집
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• 제51권3호
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• pp.45-52
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• 2009

Generally, structures are analyzed as continuum. However, sometimes it is more efficient to analyze structure as a discrete model rather than as a continuum model in case of the structure has complex shape or loading condition. This study, therefore, suggests an improved analysis discrete model, named Equivalent Truss Model (further as "ETM"), which can obtain similar results with analyzing continuums analysis. ETM adopts a lattice truss to compose the members of the model, and analyses the structures. As a consequence, the ETM produced the identical outcome with the continuums analysis in section force of different structures and loading conditions. Similar results have been shown in internal stress analysis as well. Make use of that ETM is discrete, fractural path of beam was analyzed by ETM and the result was reasonable.

• 한국지반공학회:학술대회논문집
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• 한국지반공학회 2005년도 춘계 학술발표회 논문집
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• pp.515-520
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• 2005

The behavior of jointed rock mass is much different from that of intact rock due to the presence of joints. Similarly, the characteristics of elastic wave propagation in jointed rock are considerably different from those of intact rock. The propagation of elastic waves in jointed rock is greatly dependent on the state of stress. The roughness, filling materials, and spacing of joints also affect wave propagation in jointed rock. If the wavelength of elastic waves is much larger than the spacing between joints, wave propagation in jointed rock mass can be considered as wave propagation in equivalent continuum. A rock resonant column testing apparatus is made to measure elastic waves propagating through jointed rock in the state of equivalent continuum. Three types of wave, i.e, torsional, longitudinal and flexural waves are monitored during rock resonant column tests. Various roughness and filling materials are applied to joints, and rock columns with various spacings are used to understand how these factors affect wave propagation under a small strain condition. The experimental results suggest that the characteristics of wave propagation in jointed rock mass are governed by the state of stress and influenced by roughness, filling materials and joint spacings.