• Title/Summary/Keyword: Finite element formulation

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A Dynamic-explicit Finite Element Analysis for Hydro-forming Process (Hydro-forming 공정을 위한 동적-외연적 유한요소해석)

  • Jung, D.W.;Hwang, J.S.
    • Journal of Power System Engineering
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    • v.8 no.3
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    • pp.23-29
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    • 2004
  • In this paper, a finite element formulation using dynamic-explicit time integration scheme is used for numerical analysis of Hydro-forming processes. The lumping scheme is employed for the diagonal mass matrix and dynamic explicit formulation. Hydro-forming process for auto-body panel forming is analyzed by using dynamic-explicit finite element method. Further, the simulated results of the Hydro-forming processes are shown and discussed. Its application is being increased especially in the automotive industrial area for the cost reduction, weight saving, and improvement of strength.

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A Numerical Model of EM field calculation using Absorbing Boundary Conditions (Absorbing Boundary Condition을 이용한 전자파 수치해석)

  • Shin, Pan-Seok
    • Proceedings of the KIEE Conference
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    • 1990.11a
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    • pp.78-81
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    • 1990
  • The Engquist-Majdas second-order Absorbing Boundary Conditions (ABC) has been combined with the finite element formulation replacing the boundary integral equations in the hybrid finite-boundary element method (HEM). The method is applied to electromagnetic field radiation problems, especially to the microwave launcher, in order to verify the finite element formulation with the ABC's. The results with ABC are in good agreement with those of HEM. In order to see the applicability of the ABC, a simplified microwave oven utilizing ABC and an absorbing material are provided. The EM field distribution of the model is visualized. This method could be a useful analysis and design tool for EM field devices.

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Finite Element Analysis for Drying Process of Ceramic Electric Insulator Considering Heat and Moisture Transfer (열 및 습도전달을 고려한 세라믹 애자 건조공정의 유한요소 해석)

  • Geum, Yeong-Tak;Jeong, Jun-Ho;Kim, Jun-Han
    • Transactions of the Korean Society of Mechanical Engineers B
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    • v.25 no.1
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    • pp.36-46
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    • 2001
  • Finite element analyses of the ceramic drying process are performed. The heat and moisture movements in green ceramics caused by temperature gradient, moisture gradient, conduction, convection and evaporation are considered. The finite element formulation for solving the temperature and moisture distributions which not only change the volume but also induce the hygro-thermal stress is carried out. In order to verify the formulation, the drying process of a ceramic electric insulator is simulated. Temperature distribution, moisture distribution, and hygro-thermal stress are compared with those of other researcher. Good agreements are achieved.

Structural Optimization Using Stochastic Finite Element Second-Order Perturbation Method (확률 유한요소 이차섭동법을 사용한 구조물 최적설계)

  • 임오강;이병우
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.19 no.8
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    • pp.1822-1831
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    • 1995
  • A general formulation of the design optimization problem with the random parameters is presented here. The formulation is based on the stochastic finite element second-order perturbation method ; it takes into full account of the stress and displacement constraints together with the rates of change of the random variables. A method of direct differentiation for calculating the sensitivity coefficients in regard to the governing equation and the second-order perturbed equation is derived. A gradient-based nonlinear programming technique is used to solve the problem. The numerical results are specifically noted, where the stiffness parameter and external load are treated as random variables.

Substructure/fluid subdomain coupling method for large vibroacoustic problems

  • El Maani, Rabii;El Hami, Abdelkhalak;Radi, Bouchaib
    • Structural Engineering and Mechanics
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    • v.65 no.4
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    • pp.359-368
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    • 2018
  • Dynamic analysis of complex and large structures may be costly from a numerical point of view. For coupled vibroacoustic finite element models, the importance of reducing the size becomes obvious because the fluid degrees of freedom must be added to the structural ones. In this paper, a component mode synthesis method is proposed for large vibroacoustic interaction problems. This method couples fluid subdomains and dynamical substructuring of Craig and Bampton type. The acoustic formulation is written in terms of the velocity potential, which implies several advantages: coupled algebraic systems remain symmetric, and a potential formulation allows a direct extension of Craig and Bampton's method to acoustics. Those properties make the proposed method easy to implement in an existing finite element code because the local numerical treatment of substructures and fluid subdomains is undifferentiated. Test cases are then presented for axisymmetric geometries. Numerical results tend to prove the validity and the efficiency of the proposed method.

A Study of Forming Analysis by using Dynamic-explicit Finite Element Method in Can-container Production Process of Multi-Stage Assembly (Multi-Stage 조립품인 캔-용기 생산 공정에서 동적-외연적 유한요소법을 이용한 성형해석에 관한 연구)

  • Jung, Dong-Won;Hwang, Jae-Sin
    • Journal of the Korean Society of Manufacturing Process Engineers
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    • v.3 no.3
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    • pp.58-63
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    • 2004
  • In the present work a finite element formulation using dynamic-explicit time integration scheme is used for numerical analysis of multi-stage stamping processes. The lumping scheme is employed for the diagonal mass matrix and dynamic explicit formulation Multi-Stage stamping is analyzed by using dynamic-explicit finite element method. Further, the simulated results for the panel stamping processes are shown and discussed. Its application is being increased especially in the stamping industrial area for the cost reduction, weight saving, and improvement of strength.

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A Study of Forming Analysis by using Dynamic-Explicit Finite Element Method in Auto-Body Stamping (차체 판넬 스템핑 공정에서 동적-외연적 유한요소법을 이용한 성형해석에 관한 연구)

  • Jung, Dong-Won;Hwang, Jae-Sin
    • Journal of the Korean Society of Manufacturing Process Engineers
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    • v.3 no.4
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    • pp.63-72
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    • 2004
  • In this paper, a finite element formulation using dynamic-explicit time integration scheme is used for numerical analysis of auto-body panel stamping processes. The lumping scheme is employed for the diagonal mass matrix and dynamic explicit formulation. Auto-body panel forming is analyzed by using dynamic-explicit finite element method. Further, the simulated results of the auto-body panel stamping processes are shown and discussed. Its application is being increased especially in the stamping industrial area for the cost reduction, weight saving, and improvement of strength.

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Analysis of Blade Forming using an Elasto-Plastic Finite Element Method with Directional Reduced Integration (선향적저감적분을 이용한 탄소성 유한요소법에 의한 블레이드의 성형 해석)

  • Choi, Tae-Hoon;Huh, Hoon
    • Transactions of Materials Processing
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    • v.4 no.4
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    • pp.365-374
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    • 1995
  • Numerical simulation of blade forming is carried out as stretch forming by an elasto-plastic finite element method. The method adopts a Lagrangian formulation, which incorporates large deformation and rotation, with a penalty method to treat the contact boundary condition. Numerical integration is done with a directional reduced integration scheme to avoid shear locking. The numerical results demonstrates various final shapes of blades which depend on the variation of the stretching force. The strain distributions in deformed blades are also obtained with the variation of the stretching force.

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Formulations of Linear and Nonlinear Finite Element for Dynamic Flexible Beam (유연보의 동역학 해석에 대한 선형 및 비선형 유한요소 정식화)

  • Yun Seong-Ho
    • Journal of the Korean Society for Precision Engineering
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    • v.23 no.2 s.179
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    • pp.113-121
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    • 2006
  • This paper established the dynamic model of a flexible Timoshenko beam capable of geometrical nonlinearities subject to large overall motions by using the finite element method. Equations of motion are derived by using Hamilton principle and are formulated in terms of finite elements using CO elements in which the nonlinear constraint equations are adjoined to the system using Lagrange multipliers. In the final formulation are presented Coriolis and Gyroscopic forces as well as linear and nonlinear stiffnesses effects for the forthcoming numerical computation.

Transient Linear Elastodynamic Analysis by the Finite Element Method (유한요소법을 이용한 과도 선형 동탄성 해석)

  • Hwang, Eun-Ha;Oh, Guen
    • Journal of the Korean Society of Industry Convergence
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    • v.12 no.3
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    • pp.149-155
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    • 2009
  • A new finite element equation is derived by applying quadratic and cubic time integration scheme to the variational formulation in time-integral for the analysis of the transient elastodynamic problems to increase the numerical accuracy and stability. Emphasis is focused on methodology for cubic time integration scheme procedure which are never presented before. In this semidiscrete approximations of the field variables, the time axis is divided equally and quadratic and cubic time variation is assumed in those intervals, and space is approximated by the usual finite element discretization technique. It is found that unconditionally stable numerical results are obtained in case of the cubic time variation. Some numerical examples are given to show the versatility of the presented formulation.

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