• 제목/요약/키워드: Finite element method analysis

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A FINITE ELEMENT SOLUTION FOR THE CONSERVATION FORM OF BBM-BURGERS' EQUATION

  • Ning, Yang;Sun, Mingzhe;Piao, Guangri
    • East Asian mathematical journal
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    • 제33권5호
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    • pp.495-509
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    • 2017
  • With the accuracy of the nonlinearity guaranteed, plenty of time and large memory space are needed when we solve the finite element numerical solution of nonlinear partial differential equations. In this paper, we use the Group Element Method (GEM) to deal with the non-linearity of the BBM-Burgers Equation with Conservation form and perform a numerical analysis for two particular initial-boundary value (the Dirichlet boundary conditions and Neumann-Dirichlet boundary conditions) problems with the Finite Element Method (FEM). Some numerical experiments are performed to analyze the error between the exact solution and the FEM solution in MATLAB.

2차원 절삭에서 공구이탈시 발생하는 버에 관한 강소성 유한요소해석 (Rigid-Plastic Finite Element Analysis of Burr Formation at the Exit Stage in Orthogonal Cutting)

  • 고대철;김병민;고성림
    • 한국정밀공학회지
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    • 제15권4호
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    • pp.125-133
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    • 1998
  • The objective of this study is to propose a new approach for modelling of burr formation process during orthogonal cutting when the tool exits the workpiece. This approach is based on the rigid-plastic finite element method combined with the ductile fracture criterion and the element kill method. This approach is applied to orthogonal cutting process to predict the fracture location and the fracture angle as well as the cutting force. To validate this approach, orthogonal cutting tests inside SEM(scanning electron microscope) at very low speed are carried out using A16061-T6 to observe the behavior of the material during the chip and the burr formation. The results of the experiment are compared with those of the finite element simulation.

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EDI방법에 의한 유한요소모델의 J-적분값 산정 (Evaluation of J-integrals by Finite Element Model Based on EDI Method)

  • 신성진;홍종현;우광성
    • 한국전산구조공학회:학술대회논문집
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    • 한국전산구조공학회 1996년도 봄 학술발표회 논문집
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    • pp.62-69
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    • 1996
  • In this study, an equivalent domain integral (EDI) method is presented to estimate the track-till integral parameter, J-value, for two dimensional cracked elastic bodies which may quantify the severity of the crack-tit) stress fields. The conventional J-integral method based on line integral has been converted to equivalent area or domain integrals by using the divergence theorem. It is noted that the EDI method is very attractive because all the quantities necessary for computation of the domain integrals are readily available in a finite element analysis. The details and its implementation are extened to both h-version finite element model with 8-node isoparametric element and p-version finite element model with high order hierarchic element using Legendre type shape fuctions. The variations with respect to the different path of domain integrals from the crack-tip front and the choice of 5-function have been tested by several examples.

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직접격자 사상법을 이용한 S-rail 성형공정의 유한요소 역해석 및 성형효과를 고려한 충돌해석 (Finite Element Inverse Analysis of an S-rail Forming Process with Direct Mesh Mapping Method and Crash Analysis considering Forming Effects)

  • 김승호;허훈
    • 한국소성가공학회:학술대회논문집
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    • 한국소성가공학회 2002년도 춘계학술대회 논문집
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    • pp.125-128
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    • 2002
  • The automotive industry have made an effort to reduce the weight of vehicle structures with increased safety, while initial model of the final product does not contain any prehistoric effects in a design stave. It takes lots of time to calculate forming effects that have great influences on the energy absorption of structures. In this paper, finite element inverse analysis is adopted to calculate forming effects, such as thickness variation and effective plastic strain as well as an initial blank shape with small amount of computation time. Crash analysis can be directly performed after inverse analysis of the forming process without remeshing scheme. The direct mesh mapping method is used to calculate an initial guess from the sliding constraint surface that is extracted from the die and punch set. Analysis results show that energy absorption of structures is increased with consideration of forming effects and finite element inverse analysis is usefully applicable to calculate forming erects of vehicle structures for the crash analysis.

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Three Dimensional Finite Element Analysis for Piezoelectric Transformer

  • Joo, Hyun-Woo;Lee, Chang-Hwan;Jung, Hyun-Kyo
    • KIEE International Transaction on Electrical Machinery and Energy Conversion Systems
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    • 제11B권3호
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    • pp.98-103
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    • 2001
  • This paper presents the numerical analysis of piezoelectric devices using three-dimensional finite element analysis. The characteristic of piezoelectric transducer, such as mechanical displacement and electrical are analyzed and the validity is confirmed by experiments Applying the finite element routine to a piezoelectric transformer, the resonance features electrical impedance. the ratio of step-up voltage and vibration mode of piezoelectric transformer are calculated numerically By using three-dimensional finite element method effects of width variation to resonance features, electrical input impedance and the voltage step-up ratio for a piezoelectric transformer, can be considered in design procedure.

다단계 유한요소 역해석을 이용한 세장비가 큰 직사작컵 성형 공정의 해석 (Analysis of Rectangular Cup Drawing Processes with Large Aspect Ratio Using Multi-Stage Finite Element Inverse Analysis)

  • 김승호;김세호;허훈
    • 소성∙가공
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    • 제10권5호
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    • pp.389-395
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    • 2001
  • An inverse finite element approach is employed for more capability to design the optimum blank shape from the desired final shape with small amount of computation time and effort. For multi-stage deep-drawing processes with large aspect ratio, numerical analysis is extremely difficult to carry out due to its complexities and convergence problem. as well as tremendous computation time. In this paper, multi-stage finite element inverse analysis is applied to multi-stage rectangular cup drawing processes to calculate intermediate blank shapes and strain distributions in each stages. Deformation history of the previous stage is considered in the computation. Finite element patches are used to describe arbitrary intermediate sliding constraint surfaces.

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PREFLEX BEAM 제작시의 용접부 역학적 특성에 관한 연구 (A Study on the Analysis for Welding Residual Stress of Preflex Beam)

  • 방한서;주성민;안해영
    • 한국해양공학회지
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    • 제17권6호
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    • pp.65-71
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    • 2003
  • Since the preflex beam is fabricated through welding, the pre-compressive stresses that should occur over the concrete pier are diminished by the welding residual stresses. Therefore welding residual stresses must be relieved during the fabrication. Therefore, the analysis and examination of the accurate welding residual stress distribution characteristics are necessary. In this study, accurate distribution of welding residual stress of the preflex beam is analyzed by the finite element method, using 2 dimensional and 3 dimensional elements. Further, the thermo-mechanical behavior of the preflex beam is also studied. After the finite element analysis, real distribution of welding residual stress is measured using the sectioning method, and then is compared with the simulation results. The distribution of welding residual stress by finite analysis agreed well with the experimental results.

원통형 복합재 격자구조체의 구조안전성 평가 기법 연구 (Study on Evaluation Method of Structural Integrity of Cylindrical Composite Lattice Structures)

  • 임재문;강승구;신광복;이상우
    • Composites Research
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    • 제30권6호
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    • pp.338-342
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    • 2017
  • 본 논문에서는 원통형 복합재 격자구조체의 구조안전성 평가 기법에 대해 연구를 수행하였다. 구조안전성 평가는 유한요소해석을 통해 수행하였다. 구조안전성 평가를 위한 최적의 유한요소를 확인하기 위해 원통형 복합재 격자구조체 유한요소모델은 빔, 쉘 그리고 솔리드 요소를 사용해 생성하였다. 쉘과 솔리드 모델의 유한요소 해석결과는 서로 유사하게 발생되었다. 그러나 빔 모델의 경우, 쉘과 솔리드 모델의 결과와 큰 차이가 발생하였다. 이것은 빔 요소가 원통형 복합재 격자구조체 섬유 비교차부의 기계적 물성저하를 고려하지 못하기 때문이다. 원통형 복합재 격자구조체의 구조안전성 평가를 위한 유한요소해석은 쉘 또는 솔리드 요소를 사용해야 하는 것을 확인하였다.

탄소성문제 적용을 위한 영역분할법 (Domain Decomposition Method for Elasto-Plastic Problem)

  • 배병규;이준성
    • 한국산학기술학회논문지
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    • 제12권8호
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    • pp.3384-3390
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    • 2011
  • 본 논문은 탄소성 구조해석을 위한 병렬유한요소해석에 필요한 영역분할법에 대해 제시하고 있다. 유한요소해석을 위한 알고리즘으로서 CG방법과 결합한 영역분할법을 이용하였다. 적용된 영역분할법은 탄소성문제를 해석하는데 직접적으로 사용되어 지며 효용성 검토를 위해 3차원 탄소성 구조문제에 적용하여 해석해 본 결과 높은 병렬효과를 발휘함을 알 수 있었다.

유한요소법을 이용한 종형 구조물의 동적거동 및 음향거동에 관한 연구 (A Study on Dynamic and Acoustic Behavior of Beel Type Structure Using Finite Element Method)

  • 정석주
    • 소음진동
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    • 제6권4호
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    • pp.447-456
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    • 1996
  • Dynamic characteristics of the bell-type structure including acoustic effects and transient dynamic problems were analyzed numerically. Natural frequencies, mode shapes and transient dynamic analysis used the finite element method with 3-D general shell element. Mode shapes and stress distributions of transient dynamic analysis were expressed by computer graphics. The method using this study was evaluated by comparision of theoretical results at reference papers(14), (15) and the experimental test using Fast Fourier Transform analyzer. Vibrational modes governing acoustic characteristics of the typical bell-type structure depended on the first flexural mode(4-0 mode) and the second flexural mode(6-0 mode). Asymmetric effects by Dangiwas, acoustic holes gave rise to beat frequencies, and the Dangjwa was found to be most effective. When impact load acted on the bell, stress concentration occured at the rim part of bell. It was found that the bell type structure should be designed thickly at the rim part in order to prevent impact load from stress concentration.

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