• 제목/요약/키워드: interval finite element

검색결과 95건 처리시간 0.029초

The construction of multivariable Reissner-Mindlin plate elements based on B-spline wavelet on the interval

  • Zhang, Xingwu;Chen, Xuefeng;He, Zhengjia
    • Structural Engineering and Mechanics
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    • 제38권6호
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    • pp.733-751
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    • 2011
  • In the present study, a new kind of multivariable Reissner-Mindlin plate elements with two kinds of variables based on B-spline wavelet on the interval (BSWI) is constructed to solve the static and vibration problems of a square Reissner-Mindlin plate, a skew Reissner-Mindlin plate, and a Reissner-Mindlin plate on an elastic foundation. Based on generalized variational principle, finite element formulations are derived from generalized potential energy functional. The two-dimensional tensor product BSWI is employed to form the shape functions and construct multivariable BSWI elements. The multivariable wavelet finite element method proposed here can improve the solving accuracy apparently because generalized stress and strain are interpolated separately. In addition, compared with commonly used Daubechies wavelet finite element method, BSWI has explicit expression and a very good approximation property which guarantee the satisfying results. The efficiency of the proposed multivariable Reissner-Mindlin plate elements are verified through some numerical examples in the end.

Analysis of Drawbead Process by Static-Explicit Finite Element Method

  • Jung, Dong-Won
    • Journal of Mechanical Science and Technology
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    • 제16권12호
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    • pp.1687-1692
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    • 2002
  • The problem analyzed here is a sheet metal forming process which requires a drawbead. The drawbead provides the sheet metal enough tension to be deformed plastically along the punch face and consequently, ensures a proper shape of final products by fixing the sheet to the die. Therefore, the optimum design of drawbead is indispensable in obtaining the desired formability. A static-explicit finite element analysis is carried out to provide a perspective tool for designing the drawbead. The finite element formulation is constructed from static equilibrium equation and takes into account the boundary condition that involves a proper contact condition. The deformation behavior of sheet material is formulated by the elastic-plastic constitutive equation. The finite element formulation has been solved based on an existing method that is called the static-explicit method. The main features of the static-explicit method are first that there is no convergence problem. Second, the problem of contact and friction is easily solved by application of very small time interval. During the analysis of drawbead processes, the strain distribution and the drawing force on drawbead can be analyzed. And the effects of bead shape and number of beads on sheet forming processes were investigated. The results of the static explicit analysis of drawbead processes show no convergence problem and comparatively accurate results even though severe high geometric and contact-friction nonlinearity. Moreover, the computational results of a static-explicit finite element analysis can supply very valuable information for designing the drawbead process in which the defects of final sheet product can be removed.

CAE를 이용한 자동차용 휠(wheel)의 피로수명 예측기법 연구 (The Study on the Fatigue Life Prediction on Wheels through CAE)

  • 김만섭;고길주;김정헌;양창근;김관묵
    • 한국자동차공학회논문집
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    • 제12권2호
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    • pp.117-122
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    • 2004
  • The fatigue life in wheels was predicted by simulating the experimental method using Finite-Element analysis. Based on a high frequency fatigue property, calculations of the stresses in wheels were performed by simulating the rotating bending fatigue test. Wheels made of an aluminum alloy(A356.2) were tested using a bending fatigue tester. Results from bending fatigue test showed a linear correlation between bending moment and stress amplitude. Consequently, Finite-Element calculations were performed by a linear analysis. In order to find stress-cycles curves, spoke parts of wheel were tested using a rotary bending fatigue tester. Also, highly accurate Finite-Element analysis requires regression lines and confidence intervals from these results. In conclusion, if the fatigue data related to the material and manufacturing procedure are reliable, the prediction on fatigue lift in wheels can be carried out with high accuracy.

간격 유한요소해석을 이용한 구조물의 위상 최적화 (Topology Optimization of Structures using Interval Finite Element Method)

  • 이동규;신수미;박성수
    • 한국전산구조공학회논문집
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    • 제19권4호
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    • pp.389-398
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    • 2006
  • 구조물의 최적 설계는 유한요소해석과 그것을 상용할 수 있는 컴퓨터 기술의 진보와 함께 발전해 오고 있다. 특히 위상 최적설계는 제한 조건들을 만족하는 구조물의 형상뿐만 아니라 최적 위상을 산출할 수 있다는 점에서 최근들어 많이 사용되고 있다. 일반적으로 유한요소해석은 영계수나 프와송 비와 같은 구조물의 재료특성 계수와 작용 하중 같은 변수들의 확정된 값을 가정하여 사용하나, 실제적으로 이러한 값들은 외부 환경의 영향이나 제조과정의 에러 등으로 인한 불확실성을 가진다. 따라서 정적 또는 동적인 구조응답 해석에서 다른 추이를 보일지도 모르며, 이는 구조물의 최적설계에도 영향을 미칠 수 있다. 본 논문에서는 구조물의 정적응답 해석에 대해 불확실성을 고려하는 간격 유한요소방법을 이용하여 구조물의 위상최적설계를 수행하고 그 해법을 제시하였다. 구조물의 최적설계 결과는 이전에 사용되었던 결과와 비교를 통하여 그 타당성을 입증하였다. 본 해석방법은 기존의 밀도분포법과 유한요소해석에 의한 위상설계와 비교하여 간단한 방법으로 서 선형 탄성 구조 응답의 불확실성을 고려하는 대체적인 구조물의 위상 최적결과를 예측할 수 있다.

고속 주축에서 클램핑력 및 회전수 변화에 따른 주축 인터페이스 접촉률 변화에 관한 연구 (A Study on the Contact Interval in the Main Spindle Interface of High Speed Spindle according to Variation of Clamping Force and Rotational Speed)

  • 황영국;조영덕;이춘만;정원지
    • 한국정밀공학회:학술대회논문집
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    • 한국정밀공학회 2005년도 춘계학술대회 논문집
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    • pp.1749-1752
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    • 2005
  • High speed machining has become the main issue of metal cutting. Due to increase of the rotational speed of the spindle, problems, such as the run-out errors, reduced stiffness, must be overcome to improve the machining accuracy. In order to solve the problems, it is important to determine the appropriate clamping unit and tooling system. This paper presents an investigation into an evaluation of contact interval which is the interface between spindle taper hole and tool holder shank of the spindle. Finite element analysis is performed by using a commercial code ANSYS according to variation of clamping forces and rotational speeds. This paper proposed fit tolerance in order to evaluate the effects of clamping force and rotational speed on the contact interval in the spindle interface. From the finite element results, it has been shown that the rotational speed rather than clamping force mostly influence on the variation of the contact interval.

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고속 주축에서 클램핑력 및 회전수 변화에 따른 주축 인터페이스 접촉률 변화에 관한 연구 (1) (A Study on the Contact Interval in the Main Spindle Interface of High Speed Spindle according to Variation of Clamping Force and Rotational Speed (1))

  • 황영국;정원지;이춘만
    • 한국정밀공학회지
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    • 제23권3호
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    • pp.147-155
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    • 2006
  • High speed machining has become the main issue of metal rutting. Due to increase of the rotational speed of the spindle, problems, such as the run-out errors, reduced stiffness, must be overcome to improve the machining accuracy. In order to solve the problems, it is important to determine the appropriate clamping unit and tooling system. This paper presents an investigation into an evolution of contact interval which is the interface between spindle taper hole and tool holder shank of the spindle. Finite element analysis is performed by using a commercial code ANSYS according to variation of clamping forces and rotational speeds. This paper proposed fit tolerance in order to evaluate the effects of clamping force and rotational speed on the contact interval in the spindle interface. From the finite element results, it has been shown that the rotational speed rather than clamping force mostly influence on the variation of the contact interval.

Optimal Inner Case Design for Refrigerator by Utilizing Artificial Neural Networks and Genetic Algorithm

  • Zhai, Jianguang;Cho, Jong-Rae;Roh, Min-Shik
    • Journal of Advanced Marine Engineering and Technology
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    • 제34권7호
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    • pp.971-980
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    • 2010
  • In this paper, an artificial neural network (ANN) was employed to build a predicting model for refrigerator structure. The predicting model includes three input variables of the plaque depth (D), width (W) and interval distance(S) on the inner wall. Finite element method was utilized to obtain the data, which would be necessary for the ANN training process. Finally, a genetic algorithm (GA) was applied to find the optimal parameters that leaded to the minimum inner case deformation under operating condition. The optimal combination found is the depth(D) of 2.63mm, the width(W) of 19.24mm and the interval distance(S) of 49.38mm which leaded to the smallest deformation of 1.88mm for the given refrigerator model.

Study of ground vibration induced by high-speed trains moving on multi-span bridges

  • Ju, S.H.
    • Structural Engineering and Mechanics
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    • 제59권2호
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    • pp.277-290
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    • 2016
  • This paper investigates the ground vibration induced by high-speed trains moving on multi-span continuous bridges. The dynamic impact factor of multi-span continuous bridges under trainloads was first determined in the parametric study, which shows that the dynamic impact factor will be large when the first bridge vertical natural frequency is equal to the trainload dominant frequencies, nV/D, where n is a positive integer, V is the train speed, and D is the train carriage interval. In addition, more continuous spans will produce smaller dynamic impact factors at this resonance condition. Based on the results of three-dimensional finite element analyses using the soil-structure interaction for realistic high-speed railway bridges, we suggest that the bridge span be set at 1.4 to 1.5 times the carriage interval for simply supported bridges. If not, the use of four or more-than-four-span continuous bridges is suggested to reduce the train-induced vibration. This study also indicates that the vibration in the train is major generated from the rail irregularities and that from the bridge deformation is not dominant.

Lattices of Interval-Valued Fuzzy Subgroups

  • Lee, Jeong Gon;Hur, Kul;Lim, Pyung Ki
    • International Journal of Fuzzy Logic and Intelligent Systems
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    • 제14권2호
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    • pp.154-161
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    • 2014
  • We discuss some interesting sublattices of interval-valued fuzzy subgroups. In our main result, we consider the set of all interval-valued fuzzy normal subgroups with finite range that attain the same value at the identity element of the group. We then prove that this set forms a modular sublattice of the lattice of interval-valued fuzzy subgroups. In fact, this is an interval-valued fuzzy version of a well-known result from classical lattice theory. Finally, we employ a lattice diagram to exhibit the interrelationship among these sublattices.

정적-외연적 강소성 유한요소법의 개발 및 Osakada방법에서 변형율 증분에 따른 영향분석 (Development of Static-explicit rigid-plastic finite Element Method and Investigate the offset of strain increment in Osakada method)

  • 정동원;이승훈
    • 한국정밀공학회지
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    • 제21권2호
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    • pp.116-121
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    • 2004
  • In rigid-plastic finite element method, there is a heavy computation time and convergence problem. In this study, static-explicit rigid-plastic finite element method will be introduced. This method is the way that restrict the convergence interval. It is expected that various results from the numerical analysis will give very useful information for the design of tools in sheet metal forming process.