• Title/Summary/Keyword: continuum model

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Aeroelastic Analyses of Aircraft Wing by Using Equivalent Continuum BeamalRod Model (등가연속체 Beam-Rod 모델을 이용한 항공기 날개의 공력탄성 해석)

  • Lee, U-Sik;Lee, Hang
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.19 no.3
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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.

Reassessment on numerical results by the continuum model (연속체모델에 의한 수치해석결과에 대한 재평가)

  • Jeong, Jae-Dong;Yu, Ho-Seon;No, Seung-Tak;Lee, Jun-Sik
    • Transactions of the Korean Society of Mechanical Engineers B
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    • v.20 no.12
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    • pp.3926-3937
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    • 1996
  • In recent years there has been increased interest in the continuum model associated with the solidification of binary mixtures. A review of the literature, however, shows that the model verification was not sufficient or only qualitative. Present work is conducted for the reassessment of continuum model on the solidification problems of binary mixtures widely used for model validation. In spite of using the same continuum model, the results do not agree well with those of Incropera and co-workers which are benchmark problems typically used for validation of binary mixture solidification. Inferring from the agreement of present results with the analytic, experimental and other model's numerical results, this discrepancy seems to be caused by numerical errors in applying continuum model developed by Incropera and co-workers, not by the model itself. Careful examination should be preceded before selecting validation problems.

Dynamic Equivalent Continuum Modeling of a Box-Beam Typed Wing (Box-Beam 형상 날개의 동적 등가연속체 모델링에 관한 연구)

  • 이우식;김영수
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.17 no.11
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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.

Nano-continuum multi scale analysis using node deactivation techniques (절점 비활성화 기법을 적용한 나노-연속체 멀티스케일 해석 기법)

  • Rhee Seung-Yun;Cho Maeng-Hyo
    • Proceedings of the Computational Structural Engineering Institute Conference
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    • 2006.04a
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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.

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Multiscale simulation based on kriging based finite element method

  • Sommanawat, Wichain;Kanok-Nukulchai, Worsak
    • Interaction and multiscale mechanics
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    • v.2 no.4
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    • pp.353-374
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    • 2009
  • A new seamless multiscale simulation was developed for coupling the continuum model with its molecular dynamics. Kriging-based Finite Element Method (K-FEM) is employed to model the continuum base of the entire domain, while the molecular dynamics (MD) is confined in a localized domain of interest. In the coupling zone, where the MD domain overlaps the continuum model, the overall Hamiltonian is postulated by contributions from the continuum and the molecular overlays, based on a quartic spline scaling parameter. The displacement compatibility in this coupling zone is then enforced by the Lagrange multiplier technique. A multiple-time-step velocity Verlet algorithm is adopted for its time integration. The validation of the present method is reported through numerical tests of one dimensional atomic lattice. The results reveal that at the continuum/MD interface, the commonly reported spurious waves in the literature are effectively eliminated in this study. In addition, the smoothness of the transition from MD to the continuum can be significantly improved by either increasing the size of the coupling zone or expanding the nodal domain of influence associated with K-FEM.

Equivalent Continuum Model for the Single Wall Carbon Nanotube (Single Wall Carbon Nanotube의 등가 연속체 모델에 대한 연구)

  • 김병구;전흥재
    • Proceedings of the Computational Structural Engineering Institute Conference
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    • 2003.04a
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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.

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Equivalent Continuum Modeling Methods for Flat Corrugated Panels (평판형 주름판넬에 대한 등가 연속체 모델링기법)

  • 이상윤;이우식
    • Journal of the Korean Society for Railway
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    • v.3 no.2
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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.

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A Study on Application Range of Continuum Model to Discontinuous Rock mass with Numerical Analysis (불연속지반의 연속체 모델 적용범위에 대한 수치해석적 연구)

  • 이경우;노상림;윤지선
    • Proceedings of the Korean Geotechical Society Conference
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    • 2002.03a
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    • pp.197-204
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    • 2002
  • In this study, multivariate analysis based on domestic data(958 EA) of road tunnel, and suggest the easy prediction equation of Q-system. We generate applicable Q-value to numerical analysis method with using the equation and investigate the behavior as variable Q-value of rock mass induced excavation with discontinuum numerical analysis method, UDEC. In the result of the experiment, we research the application range of Q-value to apply the continuum model to discontinuous rock mass is below 0.7 and we testify the applicability of continuum model as researched Q-value with continuum numerical analysis method, FLAC.

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A Study of Appraisal in Record Continuum Theory: Derivation of Key Elements through the Comparison with Appraisal in Life Cycle Model (레코드 컨티뉴엄의 기록 평가 논리 분석 - 라이프사이클과의 비교를 통한 핵심 요소 도출 -)

  • Kim, Myoung-hun
    • Journal of Korean Library and Information Science Society
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    • v.53 no.3
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    • pp.25-46
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    • 2022
  • In this study, the appraisal in record continuum theory is analyzed in conjunction with the appraisal in life cycle model. In order to understand the more fundamental implications of appraisal in electronic record environment, it is essential to analyze the appraisal inherent in record continuum theory. Record continuum theory can provide a theoretical basis for appraisal in electronic record environment in that it is a theoretical system in opposition of the appraisal based on life cycle model and dualistic records management system resulting from it. In particular, considering that the appraisal is a purposive act of seeking the meaning of records, the reinterpretation of the concept and meaning of records intended in record continuum theory enables us to derive the different appraisal logics than before. Therefore In this study, based on comparison with the appraisal based on life cycle model and the new record concept presented in record continuum, the appraisal in record continuum theory is analyzed focusing on three aspects.

A Study on Applicability of Equivalent Continuum Flow Model in DFN Media (DFN 매질에 대한 등가연속체 유동모델의 적용 가능성 평가에 관한 연구)

  • Lee, Dahye;Um, Jeong-Gi
    • Tunnel and Underground Space
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    • v.27 no.5
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    • pp.303-311
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    • 2017
  • The correlation analysis between the results obtained from DFN flow model and equivalent continuum flow model were conducted on total of 72 DFN blocks having various fracture geometry and domain size. A strong linear relation seems to exist between the two approaches under condition that normalized relative error for continuum behavior (ER) is less than 0.2, and the results from both methods are found to almost identical. To explore the field applicability of equivalent continuum flow model in DFN media, a total of 48 numerical schemes related to inflow of underground circular openings were implemented under various DFN configurations. The equivalent continuum flow model in DFN media with a constant hydraulic aperture was evaluated as valid. However, as the anisotropy increases due to variation of the hydraulic aperture, the results are likely to be overestimated compare to the DFN flow model.