• 제목/요약/키워드: Coupled finite element method

검색결과 727건 처리시간 0.031초

Finite-element Method for Heat Transfer Problem in Hydrodynamic Lubrication

  • Kwang-June,Bai
    • 대한조선학회지
    • /
    • 제19권4호
    • /
    • pp.19-29
    • /
    • 1982
  • Galerkin's finite element method is applied to a two-dimensional heat convection-diffusion problem arising in the hydrodynamic lubrication of thrust bearings used in naval vessels. A parabolized thermal energy equation for the lubricant, and thermal diffusion equations for both bearing pad and the collar are treated together, with proper juncture conditions on the interface boundaries. it has been known that a numerical instability arises when the classical Galerkin's method, which is equivalent to a centered difference approximation, is applied to a parabolic-type partial differential equation. Probably the simplest remedy for this instability is to use a one-sided finite difference formula for the first derivative term in the finite difference method. However, in the present coupled heat convection-diffusion problem in which the governing equation is parabolized in a subdomain(Lubricant), uniformly stable numerical solutions for a wide range of the Peclet number are obtained in the numerical test based on Galerkin's classical finite element method. In the present numerical convergence errors in several error norms are presented in the first model problem. Additional numerical results for a more realistic bearing lubrication problem are presented for a second numerical model.

  • PDF

반응표면법과 유한요소법을 이용한 단상 스위치드 릴럭턴스 전동기의 최적 설계 (Single Phase Switched Reluctance Motor Optimum Design Using Response Surface Methodology and Finite Element Method)

  • 임승빈;최재학;박재범;손영규;이주
    • 대한전기학회논문지:전기기기및에너지변환시스템부문B
    • /
    • 제55권12호
    • /
    • pp.596-607
    • /
    • 2006
  • This paper presents Single Phase Switched Reluctance Motor (SPSRM) optimum design for vacuum cleaners using Response Surface Methodology (RSM) to determine geometric parameters, and the 2-D Finite Element Method (FEM) has been coupled with the circuit equations of the driving converter. Additionally, an optimum process for SPSRM has been proposed and peformed with geometric and electric parameters thereby influencing the inductance variation and effective torque generation as design variables. SPSRM performances have also been analyzed to determine an optimal design model for maximized efficiency at high power factor. In order to confirm the propriety of the Finite Element Method and motor performance calculation, simulation waveform and experiment waveform for motor voltage and current were compared.

갇힌 유체로 연성된 두 원판의 고유진동 해석 (Natural Vibration Analysis of Two Circular Plates Coupled with Bounded Fluid)

  • 정명조;정경훈
    • 한국소음진동공학회논문집
    • /
    • 제11권9호
    • /
    • pp.439-453
    • /
    • 2001
  • This study deals with the free vibration of two identical circular plates coupled with a bounded fluid. An analytical method based on the finite Fourier-Bessel series expansion and Rayleigh-Ritz method is suggested. In the theory, it is assumed that the ideal fluid in a rigid cylindrical container and the two plates are clamped along the plate edges. The proposed method is verified by the finite element analysis using commercial program with a good accuracy. Two transverse vibration modes, namely in-phase and out-of-phase, are observed alternately in the fluid-coupled system when the number of nodal circles increases for the fixed nodal diameter. The effect of gap between the plates on the fluid-coupled natural frequencies sis also investigated.

  • PDF

보 요소를 이용한 파이프의 구조-음향 연성해석 (Structure-Acoustic Coupling Analysis of a Pipe Using the Beam Element)

  • 서영수;정의봉;정호경
    • 한국소음진동공학회:학술대회논문집
    • /
    • 한국소음진동공학회 2004년도 춘계학술대회논문집
    • /
    • pp.282-287
    • /
    • 2004
  • Noise and vibrations in the pipe systems may be arisen from pumps. compressors, etc. The source mechanism is classified with the mechanical and hydraulic. Mechanical vibrations may be excited by the unbalance in rotating machinery. Hydraulic source may be generated in the turbulent flow. The vibro-acoustic behaviour of flexible, fluid-filled pipe system is a very complex and determined by two parameters: the frequency and the mass ratio of fluid and pipe wall. As the frequency increases, the mode number in the pipe increases. The mass ratio is close to one, the structure and the fluid are strongly coupled. In ease the diameter is very small to the length of pipe, the behaviour of pipe is same as a beam. The finite element formulation when the fluid and the structure are coupled is derived by using beam element. The Numerical results are compared with the package (Sysnoise) which is using the shell element.

  • PDF

개별요소법과 유한차분법 연계 해석을 이용한 EPB TBM 굴진해석 Part I : 모델링 (Numerical Analysis of EPB TBM Driving using Coupled DEM-FDM Part I : Modeling)

  • 최순욱;이효범;최항석;장수호;강태호;이철호
    • 터널과지하공간
    • /
    • 제30권5호
    • /
    • pp.484-495
    • /
    • 2020
  • EPB TBM의 굴진을 수치적으로 해석하기 위해 개별요소법(DEM, discrete element method), 유한요소법(FEM, finite element method), 유한차분법(FDM, finite difference method) 등과 같은 다양한 수치해석 기법이 적용되어 왔다. 본 논문에서는 이중 개별요소법과 유한차분법을 연계하는 방식을 채택하여 EPB TBM 굴진해석 모델링 방법을 제시하였다. 제시한 개별요소법-유한차분법 연계 TBM 굴진해석 모델에서 TBM이 굴착하는 굴착부는 개별요소법을 적용하였으며, 입자 접촉 물성치의 경우 일련의 삼축압축시험을 통해 교정하였다. 굴착부 주변지반은 유한차분법을 연계시켜 정지토압계수를 고려하여 굴착부에 수평지중응력을 구현할 수 있도록 하였다. 또한, 이를 통해 소요 입자 개수를 감소시켜 모델의 해석효율을 증대시켰다. 본 논문에서 제시한 수치해석 모델은 TBM의 굴진율, 커터헤드 및 스크류 컨베이어 회전속도 등을 조절할 수 있으며 TBM 굴진 중 토크, 추력, 챔버압, 배토량을 도출해 낼 수 있다.

The Coupled Electro-Thermal Field Analysis for Predicting Over-Current Protector Behavior

  • Bae, Jae-Nam;Lee, Sung-Gu;Han, Jung-Ho;Chung, Hae-Yang;Lee, Ju
    • 조명전기설비학회논문지
    • /
    • 제22권7호
    • /
    • pp.43-48
    • /
    • 2008
  • The characteristics of heat transfer of the bimetal disc for over-current protection device is specified. Bimetal consists of two metals which have a different thermal expansion coefficient. To analyze the thermal characteristics, temperature distribution when bimetal acts as a switch is calculated. As usual, heat source is applied to the bimetal and electric current is heat source in the over-current protection switch. In this paper, thermal distribution are obtained by solving a coupled electro-thermal field with 3D finite element method.

A WEAKLY COUPLED SYSTEM OF SINGULARLY PERTURBED CONVECTION-DIFFUSION EQUATIONS WITH DISCONTINUOUS SOURCE TERM

  • BABU, A. RAMESH;VALANARASU, T.
    • Journal of applied mathematics & informatics
    • /
    • 제37권5_6호
    • /
    • pp.357-382
    • /
    • 2019
  • In this paper, we consider boundary value problem for a weakly coupled system of two singularly perturbed differential equations of convection diffusion type with discontinuous source term. In general, solution of this type of problems exhibits interior and boundary layers. A numerical method based on streamline diffusiom finite element and Shishkin meshes is presented. We derive an error estimate of order $O(N^{-2}\;{\ln}^2\;N$) in the maximum norm with respect to the perturbation parameters. Numerical experiments are also presented to support our theoritical results.

케이블-수중 예인체 시스템의 3차원 비선형 완전 연성해석 (3D Nonlinear Fully Coupled Simulation of Cable and Tow-fish System)

  • 고광수;이은택;안형택
    • 한국해양공학회지
    • /
    • 제30권6호
    • /
    • pp.458-467
    • /
    • 2016
  • In this paper, a strongly coupled method for investigating the interaction between a cable and tow-fish is presented. The nodal position finite element method was utilized to analyze the nonlinear cable dynamics, and 6DOF equations of motion were employed to describe the 3D rigid body motion of the tow-fish. Combining cable and tow-fish systems into a single formulation allowed the two nonlinear systems to be strongly coupled into a unified nonlinear system. This strongly coupled system was numerically integrated in the time domain using a predictor/multi-corrector Newmark algorithm. To demonstrate the validity, efficacy, and applicability of the current approach, two different scenarios (virtual and sea trial) were simulated, and the simulation results were validated using the physical plausibility and the sea trial test.

Using cable finite elements to analyze parametric vibrations of stay cables in cable-stayed bridges

  • Wu, Qingxiong;Takahashi, Kazuo;Chen, Baochun
    • Structural Engineering and Mechanics
    • /
    • 제23권6호
    • /
    • pp.691-711
    • /
    • 2006
  • This paper uses the finite element method to simultaneously consider the coupled cable-deck vibrations and the parametric vibrations of stay cables in dynamic analysis of a cable-stayed bridge. The stay cables are represented by some cable finite elements, which can consider the parametric vibration of the cables. In addition to modeling stay cables using multiple link cable elements, a procedure for removing the self-weight term of cable element is proposed. A eigenvalue analysis process using dynamic condensation method for sorting out the natural modes of the girder-tower vibrations and the Rayleigh damping considering element damping for damping matrix are also proposed for dynamic analyses of cable-stayed bridges. The possibilities of using cable elements and of using global and local vibrations to evaluate the parametric vibrations of stay cables in a cable-stayed bridge are confirmed, respectively.

열간압연시 미세조직 예측을 위한 유한요소 모델 (A Finite Element Model for Predicting the Microstructural Evolution in Hot Rolling)

  • 조현중;김낙수
    • 한국정밀공학회지
    • /
    • 제14권9호
    • /
    • pp.90-100
    • /
    • 1997
  • A full three-dimensional thermo-coupled rigid-viscoplastic finite element method and the currently developed microstructural evolution system which includes semi-empirical equations suggested by different research groups were used together to form an integrated system of process and micro- structure simulation of hot rolling. The distribution and time histroy of the momechanical variables such as temperature, strain, strain rate, and time during pass and between passes were obtained from the finite element analysis of multipass hot rolling processes. The distribution of metallurgical variables were calculated on the basis of instantaneous thermomechanical data. For the verification of this method the evolution of microstructure in plate rolling and shape rolling was simulated and their results were compared with the data available in the literature. Consequently, this approach makes it possible to describe the realistic evolution of microstructure by avoiding the use of erroneous average value and can be used in CAE of multipass hot rolling.

  • PDF