• Title/Summary/Keyword: Continuum numerical analysis

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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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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.

Investigation of Subsurface Deformations for the Shallow Tunnel In A Granular Mass Using Two-Dimensional Laboratory Model Test and Numerical Analysis (2차원 실내모형실험과 수치해석을 이용한 사질토 지반의 얕은 터널에 대한 지중변형에 대한 규명)

  • Lee, Yong-Joo
    • Proceedings of the Korean Geotechical Society Conference
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    • 2006.03a
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    • pp.219-228
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    • 2006
  • In urban areas, tunnelling induced ground deformations, particularly ground settlements should be considered in order to minimize the damage of adjacent structures. Therefore, an appropriate monitoring system for the tunnel construction should be setup at the planning or design stage. A number of studies on ground settlements due to tunnelling in soft ground have been carried out so far. However, most studies have focused on clay soil rather than sand soil. In particular, a few studies on behaviour of subsurface deformations in granular material have been reported. In this study, two-dimensional laboratory model test with aluminium rods regarded as continuum granular material and close range photogrammetric technique, and numerical analysis were carried out in order to identify the behaviour of subsurface deformations due to shallow tunnelling. Direction and magnitude of displacement vectors from the model test was identical to the numerical analysis. In particular, the vector direction was appeared to be toward a point below the tunnel invert level. A narrow 'chimney or tulip like' pattern of vertical displacement was confirmed by both the model test and numerical analysis. This is consistent with the field data. In addition to the qualitative comparison, the quantitative comparison of subsurface settlements according to 2D volume loss showed good agreement between the model test and numerical analysis. Therefore, close range photogrammetric technique applied in the model test may be used to validate the result from the continuum numerical analysis.

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Seismic analysis of steel structure with brace configuration using topology optimization

  • Qiao, Shengfang;Han, Xiaolei;Zhou, Kemin;Ji, Jing
    • Steel and Composite Structures
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    • v.21 no.3
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    • pp.501-515
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    • 2016
  • Seismic analysis for steel frame structure with brace configuration using topology optimization based on truss-like material model is studied. The initial design domain for topology optimization is determined according to original steel frame structure and filled with truss-like members. Hence the initial truss-like continuum is established. The densities and orientation of truss-like members at any point are taken as design variables in finite element analysis. The topology optimization problem of least-weight truss-like continuum with stress constraints is solved. The orientations and densities of members in truss-like continuum are optimized and updated by fully-stressed criterion in every iteration. The optimized truss-like continuum is founded after finite element analysis is finished. The optimal bracing system is established based on optimized truss-like continuum without numerical instability. Seismic performance for steel frame structures is derived using dynamic time-history analysis. A numerical example shows the advantage for frame structures with brace configuration using topology optimization in seismic performance.

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.

Design of initial support required for excavation of underground cavern and shaft from numerical analysis

  • Oh, Joung;Moon, Taehyun;Canbulat, Ismet;Moon, Joon-Shik
    • Geomechanics and Engineering
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    • v.17 no.6
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    • pp.573-581
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    • 2019
  • Excavation of underground cavern and shaft was proposed for the construction of a ventilation facility in an urban area. A shaft connects the street-level air plenum to an underground cavern, which extends down approximately 46 m below the street surface. At the project site, the rock mass was relatively strong and well-defined joint sets were present. A kinematic block stability analysis was first performed to estimate the required reinforcement system. Then a 3-D discontinuum numerical analysis was conducted to evaluate the capacity of the initial support and the overall stability of the required excavation, followed by a 3-D continuum numerical analysis to complement the calculated result. This paper illustrates the application of detailed numerical analyses to the design of the required initial support system for the stability of underground hard rock mining at a relatively shallow depth.

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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Comparison of Shallow Model Tunnel Test Using Image Processing and Numerical Analysis (이미지 프로세싱을 이용한 얕은 터널 모형실험과 수치해석의 비교)

  • Lee, Yong-Joo
    • Journal of the Korean Geotechnical Society
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    • v.22 no.7
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    • pp.5-12
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    • 2006
  • In this study, 2D shallow tunnel model test using close range photogrammetric technique was conducted with aluminium rods simulating continuum granular material. Numerical analysis was also carried out in order to identify the behaviour of subsurface deformations caused by shallow tunnelling. Direction and magnitude of displacement vectors from the model test were identical to the result of numerical analysis based on the model data. In particular, it is shown that the vector direction was toward a point below the tunnel invert level. A narrow "chimney or tulip like" pattern of vertical displacement was confirmed by both the model test and numerical analysis. This behaviour is consistent with the field data. In addition to the qualitative comparison, the quantitative result of subsurface settlements according to 2D volume loss showed good agreement between the model test and numerical analysis. Therefore, close range photogrammetric technique applied in the model test may be used to validate the result from the continuum numerical analysis.

Continuum Modeling and dynamic Analysis of Platelike Truss Structures (평판형 트러스구조물의 연속체 모델링 및 동적해석)

  • 이우식;김종윤
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.16 no.6
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    • pp.1021-1029
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    • 1992
  • A rational and straightforward method is introduced for developing continuum models of large platelike periodic lattice structures based on energy equivalence. The procedure for developing continuum plate models involves the use of existing well-defined finite element matrices for the easy calculation of strain and kinetic energies of a repeating cell, from which the reduced stiffness and mass matrices are obtained in terms of continuum degrees- of-freedom defined in this paper. The equivalent continuum plate properties are obtained from the direct comparison of the reduced matrices for continuum plate with those for lattice plate. The advantages of the present continuum method are that it may be applied to arbitrary lattice configurations and may give most diverse equivalent continuum plate properties including all kinds of coupling, while other methods may give only limited structural properties. To evaluate the continuum method developed in this paper, free vibration analyses for both of continuum and lattice plates are conducted. Numerical results show that the present continuum method gives very reliable structural and dynamic properties compared to other well-recognized methods.

A Study on Rolling Contact Fatigue of Rail by Damage Mechanics (손상역학에 의한 레일의 구름접촉피로 연구)

  • Kang, Sung-Soo
    • Journal of Advanced Marine Engineering and Technology
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    • v.32 no.6
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    • pp.931-937
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    • 2008
  • The rail/wheel rolling contact affects the microstructure in the surface layer of rail. Recently. continuum damage mechanics allows us to describe the microprocesses involved during the straining of materials and structures at the macroscale. Elastic and plastic strains. the corresponding hardening effects are generally accepted to be represented by global continuum variables. The purpose of continuum damage mechanics is to introduce the possibility of describing the coupling effects between damage processes and the stress-strain behavior of materials. In this study. the continuum damage mechanics caused by elastic deformation was briefly introduced and applied to the fatigue damage of the rails under the condition of cyclic loading. The material parameter for damage analysis was first determined so that it could reproduce the life span under the compressive loading in the vicinity of fatigue limit. Some numerical studies have been conducted to show the validity of the present computational mechanics analysis.