• 제목/요약/키워드: Numerical solution

검색결과 4,061건 처리시간 0.021초

반도체 칩 캡슐화 성형 공정에 있어서 와이어 스윕 및 패들 변형에 관한 연구 (A Study of Wire Sweep, Pre-conditioning and Paddle Shift during Encapsulation of Semiconductor Chips)

  • 한세진;허용정;이성철
    • 한국정밀공학회지
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    • 제18권2호
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    • pp.102-110
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    • 2001
  • In this paper, methods to analyze wire sweep and paddle shift during the semiconductor ship-encapsulation process have been studied. The analysis of wire sweep includes flow-field analysis in a complicated geometry, drag-force calculation for given flow of fluid, and wire-deformation calculation for given loads. The paddle-shift analysis is used to analyze the deformation of the paddle due to the pressure difference in two cavities. the analysis is done using either analytical solutions or numerical simulation. The analytical solution is used for rough but fast calculation of wire sweep. The numerical solution is used for more accurate calculation of wire-sweep. The numerical results of wire sweep show good agreements with the experimental ones.

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내연기관 밸브 트레인 동역학의 수치해석 (Numerical Analysis for Valve Train Dynamics of an Internal Combustion Engine)

  • 이기수;김동우
    • 한국자동차공학회논문집
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    • 제11권2호
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    • pp.31-39
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    • 2003
  • Numerical analysis for valve train dynamics of an internal combustion engine is presented. The components of the valve train are modeled by finite element techniques, and the dynamic contacts between the components are analyzed by the solution strategies of differential algebraic equations. Also an iterative scheme similar to the augmented Lagrange multiplier method is employed to enforce the contact constraints. It is shown that the contact and separation between the components of the valve train can be computed by the finite element techniques, and the numerical examples are presented to demonstrate the efficiency of the solution.

Determination of cable force based on the corrected numerical solution of cable vibration frequency equations

  • Dan, Danhui;Chen, Yanyang;Yan, Xingfei
    • Structural Engineering and Mechanics
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    • 제50권1호
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    • pp.37-52
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    • 2014
  • The accurate determination of cable tension is important to the monitoring of the condition of a cable-stayed bridge. When applying a vibration-based formula to identify the tension of a real cable under sag, stiffness and boundary conditions, the resulting error must not be overlooked. In this work, by resolving the implicit frequency function of a real cable under the above conditions numerically, indirect methods of determining the cable force and a method to calculate the corresponding cable mode frequency are investigated. The error in the tension is studied by numerical simulation, and an empirical error correction formula is presented by fitting the relationship between the cable force error and cable parameters ${\lambda}^2$ and ${\xi}$. A case study on two real cables of the Shanghai Changjiang Bridge shows that employing the method proposed in this paper can increase the accuracy of the determined cable force and reduce the computing time relative to the time required for the finite element model.

Mathematical solution for nonlinear vibration equations using variational approach

  • Bayat, M.;Pakar, I.
    • Smart Structures and Systems
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    • 제15권5호
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    • pp.1311-1327
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    • 2015
  • In this paper, we have applied a new class of approximate analytical methods called Variational Approach (VA) for high nonlinear vibration equations. Three examples have been introduced and discussed. The effects of important parameters on the response of the problems have been considered. Runge-Kutta's algorithm has been used to prepare numerical solutions. The results of variational approach are compared with energy balance method and numerical and exact solutions. It has been established that the method is an easy mathematical tool for solving conservative nonlinear problems. The method doesn't need small perturbation and with only one iteration achieve us to a high accurate solution.

자동미분을 이용한 분리시스템동시최적화기법의 개선 (Improved Concurrent Subspace Optimization Using Automatic Differentiation)

  • 이종수;박창규
    • 한국전산구조공학회:학술대회논문집
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    • 한국전산구조공학회 1999년도 가을 학술발표회 논문집
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    • pp.359-369
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    • 1999
  • The paper describes the study of concurrent subspace optimization(CSSO) for coupled multidisciplinary design optimization (MDO) techniques in mechanical systems. This method is a solution to large scale coupled multidisciplinary system, wherein the original problem is decomposed into a set of smaller, more tractable subproblems. Key elements in CSSO are consisted of global sensitivity equation(GSE), subspace optimization (SSO), optimum sensitivity analysis(OSA), and coordination optimization problem(COP) so as to inquiry valanced design solutions finally, Automatic differentiation has an ability to provide a robust sensitivity solution, and have shown the numerical numerical effectiveness over finite difference schemes wherein the perturbed step size in design variable is required. The present paper will develop the automatic differentiation based concurrent subspace optimization(AD-CSSO) in MDO. An automatic differentiation tool in FORTRAN(ADIFOR) will be employed to evaluate sensitivities. The use of exact function derivatives in GSE, OSA and COP makes Possible to enhance the numerical accuracy during the iterative design process. The paper discusses how much influence on final optimal design compared with traditional all-in-one approach, finite difference based CSSO and AD-CSSO applying coupled design variables.

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협착이 발생된 분기관내 비뉴턴유체의 유동특성 연구 (Flow Characteristics of Non-Newtonian Fluids in the Stenosed Branch Tubes)

  • 서상호;유상신;노형운
    • 설비공학논문집
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    • 제8권3호
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    • pp.307-316
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    • 1996
  • The objective of present study is to obtain information on the stenosis effects in the branch tubes for industrial piping system and atherogenesis processing in human arteries. Numerical solutions for flows of Newtonian and non-Newtonian fluids in the branch tubes are obtained by the finite volume method. Centerline velocity and pressure along the bifurcated tubes for water, blood and aqueous Separan AP-273 solution are computed and the numerical results of blood and the Separan solution are compared with those of water. Flow phenomena in the stenosed branch tubes are discussed extensively and predicted effectively. The effects of stenosis on the pressure loss coefficients are determined.

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다층 반무한 기본해를 이용한 경계요소해석 (Boundary Element Method for Multilayered Media Using Numerical Fundamental Solutions)

  • 김문겸;오금호;김민규;박준상
    • 한국전산구조공학회:학술대회논문집
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    • 한국전산구조공학회 1996년도 봄 학술발표회 논문집
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    • pp.79-86
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    • 1996
  • A boundary element method which utilizes the fundamental solution in the half plane is developed to analyze the multi-layered elastic media. The objective of this study is to derive numerically the fundamental solutions and to apply those to the exterior multi-layered domain problems. To obtain numerical fundamental solutions of multi-layered structural system, the same number of solutions as that of layers in Fourier transform domain are employed. The numerical integration technique is used in order to inverse the Fourier transform solution to real domain. To verify the proposed boundary element method, two examples are treated: (1) a circular hole near the surface of a half plane; and (2) a circular cavity within one layer of four layered half plane.

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A calculation method for finite depth free-surface green function

  • Liu, Yingyi;Iwashita, Hidetsugu;Hu, Changhong
    • International Journal of Naval Architecture and Ocean Engineering
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    • 제7권2호
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    • pp.375-389
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    • 2015
  • An improved boundary element method is presented for numerical analysis of hydrodynamic behavior of marine structures. A new algorithm for numerical solution of the finite depth free-surface Green function in three dimensions is developed based on multiple series representations. The whole range of the key parameter R/h is divided into four regions, within which different representation is used to achieve fast convergence. The well-known epsilon algorithm is also adopted to accelerate the convergence. The critical convergence criteria for each representation are investigated and provided. The proposed method is validated by several well-documented benchmark problems.

A numerical solution for a finite internally cracked plate using hybrid crack element method

  • Chen, Y.Z.
    • Structural Engineering and Mechanics
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    • 제40권6호
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    • pp.813-827
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    • 2011
  • This paper provides a numerical solution for a finite internally cracked plate using hybrid crack element method (HCE). In the formulation, an inclined crack is placed in any place of a rectangular element and the complex variable method is used. The complex potentials are expressed in a series form, and several undetermined coefficients are involved. The complex potentials for the cracked rectangle are first suggested in this paper. Based on a variational principle, the element stiffness matrix can be evaluated. The next steps are same as in the usual finite element method. Several numerical examples with computed stress intensity factor and T-stress are presented.

고속 전철 급전기의 접촉 분리를 고려한 동역학적 해석 (Dynamic Analysis of the Pantograph of a High-speed Electrical Train Considering Contact and Separation)

  • 이기수
    • 한국소음진동공학회논문집
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    • 제16권6호
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    • pp.634-642
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    • 2006
  • For the analysis of dynamic contact between a catenary and a pantograph of high-speed electrical train, the numerical solution of the equations of motion of the vehicle pantograph and the catenary system subjected to the contact condition is obtained. The whole equations of motion of the catenary and the pantograph are simultaneously time integrated with the strict application of the contact condition. For the stability of the numerical solution, with the cubic spline interpolation of the catenary displacement, the velocity and acceleration constraints as well as the displacement constraint are imposed on the contact point. Especially it is shown that the Coriolis and centripetal accelerations are critical for the accuracy and stability of the computation.