• 제목/요약/키워드: Finite Value Method

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탄소성 유한요소법을 이용한 금속인장교정기의 공정변수 설계 (Parametric Process Design of the Tension Levelling with an Elasto-plastic Finite Element Method)

  • 박상래;이형욱;허훈
    • 한국소성가공학회:학술대회논문집
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    • 한국소성가공학회 2000년도 추계학술대회 논문집
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    • pp.42-48
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    • 2000
  • This paper is concerned with a simulation-based process design for the tension levelling of metallic strips based on the elasto-plastic finite element analysis with reduced integration and hourglass control. The tension levelling process is performed to elongate the strip plastically in combination of tensile and bending strain by a controlled manner so that all longitudinal fibers in the strip have an approximately equal amount of length and undesirable strip shapes are corrected to the flat shape. The analysis deals with a method for calculating the quantitative level of the curl to investigate the roll arrangements and intermesh suitable to elimination of the curl. The analysis provides the information about the intermesh effect on the amount, the tension effect and distribution of the strain as well as the stress in order to determine the amount of elongation for correction of the irregular shape. The desired elongation is referred to determine the number of work rolls and the value of tension. Especially, the analysis investigates tile effect of the mesh size in the non-steady state finite element analysis on the amount and distribution of the strain.

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싱글 클린칭 공정에서 소재간 마찰이 축방향 분리력에 미치는 영향 (Influence of Friction Between Materials on the Axial Direction Pull Force in Single Clinching)

  • 이득원;;이찬주;전만수
    • 소성∙가공
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    • 제30권2호
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    • pp.83-90
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    • 2021
  • In this paper, a parametric study on the influence of friction between materials on pull force in single clinching is conducted using an axisymmetric elasto-plastic finite element method and law of Coulomb friction. An appropriate finite element analysis model is given, which minimizes the effect of the material model and numerical factors including the number of quadrilateral finite elements and blank radius. It is emphasized that the elasto-plastic material model should be employed because the elastic deformation of the internal region is affected more by the pull force. It has been shown that the pull force increases as friction coefficient increases and that the optimized friction coefficient is around 0.4, which is qualitatively comparable with its theoretical value. When the friction coefficient reaches 0.5 in the example studied, the neck fracture is predicted.

Elastic stiffness of perfobond connections in composite structures

  • Qin, Xi;Yang, Guotao
    • Steel and Composite Structures
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    • 제42권2호
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    • pp.221-241
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    • 2022
  • Perfobond rib connectors are widely used in composite structures to achieve the composite action between the steel and the concrete, and empirical expressions for their strength and secant stiffness have been obtained by numerical simulations or push-out tests. Since perfobond connections are generally in an elastic state in the service process and the structural analysis are always based on the elastic properties of the members, the secant stiffness is not applicable for the normal structural analysis. However, the tangent stiffness of perfobond connections has not been introduced in previous studies. Moreover, the perfobond connections are bearing tension and shear force simultaneously when the composite beams subjected to torque or local loads, but the current studies fail to arrive at the elastic stiffness considering the combined effects. To resolve these discrepancies, this paper investigates the initial elastic stiffness of perfobond connections under combined forces. The calculation method for the elastic stiffness of perfobond connections is analyzed, and the contributions of the perfobond rib, the perforating rebar and the concrete dowel are investigated. A finite element method was verified with a high value of correlation for the test results. Afterwards, parametric studies are carried out using the reliable finite element analysis to explore the trends of several factors. Empirical equations for predicting the initial elastic stiffness of perfobond connections are proposed by the numerical regression of the data extracted by parametric studies. The equations agree well with finite element analysis and test results, which indicates that the proposed empirical equations reflect a high accuracy for predicting the initial elastic stiffness of perfobond connections.

유한요소와 경계요소를 결합한 지하공동의 변위해석 (A Combined Finite Element -Boundary Element Method of Underground Displacements Analysis)

  • 황창규;박성재
    • 한국지반공학회지:지반
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    • 제6권1호
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    • pp.25-34
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    • 1990
  • 지하공동의 해석에 관한 유한요소법과 경계요소법의 해법은 많은 연구가 되어있다. 지하공동과 같은 구조물의 안정성해석시, 대상의 영역이 무한영역중의 극히 작은 일부분일 경우가 많다. 이 경우 무한영역은 비정의영역이므로 유한요소의 이산화가 불가능하며, 영향범위를가정하여 정의령 역으로 변환하면, 유한요소해석중에 강성매트릭스가 커지게되어 컴퓨터의 용량 및 계산시간상의 문제점을 일으키게 된다. 경계요소법을 적용하면, 무한영역을 고려할 수 있으나, 재료의 특성을 고려하기는 어려움이 많다. 본 논문은 특정부분의 변위 및 응력을 상세히 알 수 있으며,재료의 가음을 고려한 프로그램을 이용할 수 있는 유한요소법의 장점과 무한영역을 쉽게 고려할 수 있는 경계요소법의 장점을 갖는 유한요소와 경계요소를 결합한 해석법으로 무한탄성지반중의 지하공동안정해석에 대한 수치해석치와 이론치를 비교하여 효용성을 검토하였다. 그 결과 엄밀해에 가까운 경계요소법보다는 정도가 떨어지나 유한요소법보다는 정도가 개선되었다.

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Davidenko법에 의한 시간최적 제어문제의 수치해석해 (The Numerical Solution of Time-Optimal Control Problems by Davidenoko's Method)

  • 윤중선
    • 한국정밀공학회지
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    • 제12권5호
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    • pp.57-68
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    • 1995
  • A general procedure for the numerical solution of coupled, nonlinear, differential two-point boundary-value problems, solutions of which are crucial to the controller design, has been developed and demonstrated. A fixed-end-points, free-terminal-time, optimal-control problem, which is derived from Pontryagin's Maximum Principle, is solved by an extension of Davidenko's method, a differential form of Newton's method, for algebraic root finding. By a discretization process like finite differences, the differential equations are converted to a nonlinear algebraic system. Davidenko's method reconverts this into a pseudo-time-dependent set of implicitly coupled ODEs suitable for solution by modern, high-performance solvers. Another important advantage of Davidenko's method related to the time-optimal problem is that the terminal time can be computed by treating this unkown as an additional variable and sup- plying the Hamiltonian at the terminal time as an additional equation. Davidenko's method uas used to produce optimal trajectories of a single-degree-of-freedom problem. This numerical method provides switching times for open-loop control, minimized terminal time and optimal input torque sequences. This numerical technique could easily be adapted to the multi-point boundary-value problems.

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비정렬 유한체적법을 위한 QUICK법의 수정 (Modification of QUICK Scheme for Unstructured Grid Finite Volume Method)

  • 강동진;배상수
    • 대한기계학회논문집B
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    • 제24권9호
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    • pp.1148-1156
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    • 2000
  • The QUICK scheme for convection terms is modified for unstructured finite volume method by using linear reconstruction technique and validated through the computation of two well defined laminar flows. It uses two upstream grid points and one downstream grid point in approximating the convection terms. The most upstream grid point is generated by considering both the direction of flow and local grid line. Its value is calculated from surrounding grid points by using a linear construction method. Numerical error by the modified QUICK scheme is shown to decrease about 2.5 times faster than first order upwind scheme as grid size decreases. Computations are also carried out to see effects of the skewness and irregularity of grid on numerical solution. All numerical solutions show that the modified QUICK scheme is insensitive to both the skewness and irregularity of grid in terms of the accuracy of solution.

PRECONDITIONED SPECTRAL COLLOCATION METHOD ON CURVED ELEMENT DOMAINS USING THE GORDON-HALL TRANSFORMATION

  • Kim, Sang Dong;Hessari, Peyman;Shin, Byeong-Chun
    • 대한수학회보
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    • 제51권2호
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    • pp.595-612
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    • 2014
  • The spectral collocation method for a second order elliptic boundary value problem on a domain ${\Omega}$ with curved boundaries is studied using the Gordon and Hall transformation which enables us to have a transformed elliptic problem and a square domain S = [0, h] ${\times}$ [0, h], h > 0. The preconditioned system of the spectral collocation approximation based on Legendre-Gauss-Lobatto points by the matrix based on piecewise bilinear finite element discretizations is shown to have the high order accuracy of convergence and the efficiency of the finite element preconditioner.

로타리 킬른형 건조로 열유동 해석에 관한 연구 (Study on CFD Analysis of Dying Plant with Rotary Kiln Type for Eco-Industrial Park)

  • 강우정;황준
    • 한국기계가공학회지
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    • 제8권4호
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    • pp.61-68
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    • 2009
  • This paper presents the numerical analysis of process of sludge drying to know the characteristics of design parameters and develop the new process plant. Finite volume method and $k-{\varepsilon}$ turbulence model were used to analogy the sludge drying furnace. It has been attempted to perform the disposal of sewage sludge such as simple reclaiming and dumping in sea and incineration. Currently, these methods are restricted by national or international government regulations. The drying process is adopted as an effective method for sewage sludge treatment. However sewage sludge makes it difficult to treat with a large volume at the real drying process plant because of its own complicated physical, chemical, and thermal properties. The final design value of moisture content with 10% of the dried sludge can be obtained through the simulated outputs in this study.

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유동조건과 내부관 구명형상의 변화에 따른 소음기의 소음저감 특성 (Characteristics of Noise Attenuation with the Variation of Flow Condition and Hole Shape of Perforated Intruding Tues in Muffler)

  • 정진년;김원진;조범례
    • 한국정밀공학회지
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    • 제16권10호
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    • pp.87-93
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    • 1999
  • To propose a useful modelling method for an actual muffler, the noise attenuation effects of muffler was investigated according to the flow condition and the hole shape of tubes. In this work, the finite element method was used to calculate the transmission loss of muffler, The noise attenuation characteristics of four different types of muffler in the hole shape of tubes were compared mutually to find a more simple equivalent model. Analytical results showed that the overall value of transmission loss increases and the peaks of transmission loss curve shift to the low frequency with mean flow for the given muffler, Also the noise attenuation characteristics of the equivalent model having the split holes is almost the same as those of the actual muffler having many circular holes.

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A New Method to Estimate the Induced Electric Field in the Human Child Exposed to a 100 kHz-10 MHz Magnetic Field Using Body Size Parameters

  • Park, Young-Min;Song, Hye-Jin;Byun, Jin-Kyu
    • Journal of Magnetics
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    • 제19권2호
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    • pp.174-180
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    • 2014
  • In this paper, a new and simple method is proposed to quickly estimate the induced electric field in the human child exposed to a 100 kHz-10 MHz magnetic field, for the sake of electromagnetic field (EMF) safety assessment. The quasi-static finite-difference time-domain (FDTD) method is used to calculate the induced electric fields in high resolution 3D human child models with various body size parameters, in order to derive the correction factor for the estimation equation. The calculations are repeated for various frequencies and incident angles of the magnetic field. Based on these calculation results, a new and simple estimation equation for the 99th percentile value of the body electric field is derived that depends on the body size parameters, and the incident magnetic field. The estimation errors were equal to or less than 5.1%, for all cases considered.