• 제목/요약/키워드: finite series

검색결과 1,021건 처리시간 0.031초

확률유한요소법을 이용한 설계변수의 불확실성을 고려한 전기기기의 형상최적설계 (Shape Optimization of Electric Machine Considering Uncertainty of Design Variable by Stochastic Finite Element Method)

  • 허진;홍정표
    • 대한전기학회논문지:전기기기및에너지변환시스템부문B
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    • 제49권4호
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    • pp.219-225
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    • 2000
  • This paper presents the shape optimization considering the uncertainty of design variable to find robust optimal solution that has insensitive performance to its change of design variable. Stochastic finite element method (SFEM) is used to treat input data as stochastic variables. It is method that the potential values are series form for the expectation and small variation. Using correlation function of their variables, the statistics of output obtained form the input data distributed. From this, design considering uncertainty of design variables.

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Ultimate strength of stiffened plates with pitting corrosion

  • Rahbar-Ranji, Ahmad;Niamir, Nabi;Zarookian, Arvin
    • International Journal of Naval Architecture and Ocean Engineering
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    • 제7권3호
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    • pp.509-525
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    • 2015
  • Predicting residual strength of corroded plates is of crucial importance for service life estimation of aged structures. A series of nonlinear finite element method is employed for ultimate strength analysis of stiffened plates with pitting corrosion. Influential parameters, including plate thickness, type and size of stiffeners, pit depth and degree of pitting are varied and more than 208 finite element models are analyzed. It is found that ultimate strength is reduced by increasing pit depth to thickness ratio. Thin and intermediate plates have minimum and maximum reduction of ultimate strength with stronger stiffeners, respectively. In weak stiffener, reduction of ultimate strength in thin and intermediate plates depends on DOP. Reduction of ultimate strength in thick plates depends on thickness of plate and DOP. For intermediate plates, reduction for all stiffeners regardless of shape and size are the same.

Observed Data Oriented Bispectral Estimation of Stationary Non-Gaussian Random Signals - Automatic Determination of Smoothing Bandwidth of Bispectral Windows

  • Sasaki, K.;Shirakata, T.
    • 제어로봇시스템학회:학술대회논문집
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    • 제어로봇시스템학회 2003년도 ICCAS
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    • pp.502-507
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    • 2003
  • Toward the development of practical methods for observed data oriented bispectral estimation, an automatic means for determining the smoothing bandwidth of bispectral windows is proposed, that can also provide an associated optimum bispectral estimate of stationary non-Gaussian signals, systematically only from an observed time series datum of finite length. For the conventional non-parametric bispectral estimation, the MSE (mean squared error) of the normalized estimate is reviewed under a certain mixing condition and sufficient data length, mainly from the viewpoint of the inverse relation between its bias and variance with respect to the smoothing bandwidth. Based on the fundamental relation, a systematic method not only for determining the bandwidth, but also for obtaining the optimum bispectral estimate is presented by newly introducing a MSE evaluation index of the estimate only from an observed time series datum of finite length. The effectiveness and fundamental features of the proposed method are illustrated by the basic results of numerical experiments.

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Al6082의 가공한계를 고려한 냉간단조 공정설계 (Multistage Cold Forging Process Design of Al6082 Considering Forming Limit)

  • 안규희;강종훈;허수진;신태수;조해용
    • 한국기계가공학회지
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    • 제19권9호
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    • pp.93-99
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    • 2020
  • Recently, as the weight reduction of vehicles has been actively progressed, parts developed using aluminum 60XX series from existing steel materials are increasing. In this paper, the bushing used for the front frame rail, which is one of the parts for fixing engines and other parts in automobiles, was changed to an aluminum material of the Al60XX series, and it was intended to be produced by applying of cold forging method. The bushing is a part that secures the engine frame, and in order to produce it by cold forging, the molding limit is predicted through process design, and a multi-stage process is designed through finite element analysis. In addition, in order to verify the feasibility of the designed forging process, the limits of the multi-step process were verified based on the Cockcroft Latham theory, and the crack and overlap of the actual forging work were predicted and improved.

유한요소 구조 인자의 2차 민감도에 의한 동적 구조 최적화 (Structural Dynamics Optimization by Second Order Sensitivity with respect to Finite Element Parameter)

  • 김용연
    • 한국공작기계학회논문집
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    • 제15권3호
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    • pp.8-16
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    • 2006
  • This paper discusses design sensitivity analysis and its application to a structural dynamics modification. Eigenvalue derivatives are determined with respect to the element parameters, which include intrinsic property parameters such as Young's modulus, density of the material, diameter of a beam element, thickness of a plate element, and shape parameters. Derivatives of stiffness and mass matrices are directly calculated by derivatives of element matrices. The first and the second order derivatives of the eigenvalues are then mathematically derived from a dynamic equation of motion of FEM model. The calculation of the second order eigenvalue derivative requires the sensitivity of its corresponding eigenvector, which are developed by Nelson's direct approach. The modified eigenvalue of the structure is then evaluated by the Taylor series expansion with the first and the second derivatives of eigenvalue. Numerical examples for simple beam and plate are presented. First, eigenvalues of the structural system are numerically calculated. Second, the sensitivities of eigenvalues are then evaluated with respect to the element intrinsic parameters. The most effective parameter is determined by comparing sensitivities. Finally, we predict the modified eigenvalue by Taylor series expansion with the derivatives of eigenvalue for single parameter or multi parameters. The examples illustrate the effectiveness of the eigenvalue sensitivity analysis for the optimization of the structures.

전자레인지용 고압다이오드의 방열특성 (Heat Dissipation Analysis of High Voltage Diode Package for Microwave oven)

  • 김상철;김남균;방욱;서길수;문성주;오방원
    • 한국전기전자재료학회:학술대회논문집
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    • 한국전기전자재료학회 2001년도 추계학술대회 논문집 Vol.14 No.1
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    • pp.205-208
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    • 2001
  • Steady state and transient thermal analysis has been done by a finite element method in a diode of 12kV blocking voltage for microwave oven. The diode was fabricated by soldering ten pieces of 1200V diodes in series, capping a dummy wafer at the far end of diode series, and finally copper wire bonded for building anode and cathode terminal. In order to achieve high voltage and reliability, the edge of each diode was beveled and passivated by resin and epoxy with a thickness of $25{\mu}m$ and $3700{\mu}m$, respectively. The chip size, thickness and material properties were very important factor for high voltage diode package. And also, thermal stress value was highest in the edge of diode and solder. So, design of edge in silicon was very important to thermal stress.

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Damage assessment based on static and dynamic responses applied to foundation beams

  • Orbanich, Claudio J.;Ortega, Nestor F.;Robles, Sandra I.;Rosales, Marta B.
    • Structural Engineering and Mechanics
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    • 제72권5호
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    • pp.585-595
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    • 2019
  • Foundations are a vital part of structures. Over time, the foundations can deteriorate due to unforeseen overloads and/or settlements, resulting in the appearance of cracks in the concrete. These cracks produce changes in the static and dynamic behavior of the affected foundation, which alter its load carrying capacity. In this work, non-destructive techniques of relative simplicity of application are presented for the detection, location, and quantification of damage, using numerical models, solved with the finite element method and Power Series. For this, two types of parameters are used: static (displacement and elastic curvature) and dynamics (natural frequencies). In the static analysis, the damage detection is done by means of a finite elements model representing a beam supported on an elastic foundation with a discrete crack that varies in length and location. With regard to dynamic analysis, the governing equations of the model are presented and a method based on Power Series is used to obtain the solution for a data set, which could be the Winkler coefficient, the location of the crack or the frequency. In order to validate the proposed methodologies, these techniques are applied to data obtained from laboratory tests.

유한수심에서의 조파저항계산에 관하여 (A Computational Method of Wave Resistance of Ships in Water of Finite Depth)

  • 이승준
    • 대한조선학회논문집
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    • 제29권2호
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    • pp.66-72
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    • 1992
  • 유한수심에 대한 Michell적분의 계산을 위해 선각함수를 종방향 및 수직방향에 대해 Legendre다항식으로 전개하여 조파저항계수를 형상계수와 유체동력학적계수의 곱에 대한 4중급수로 구할 수 있는 식을 얻었다. 여기서 형상계수는 선각의 기하학적 형상만의 함수이고, 유체동력학적계수는 수심에 근거한 Fn와 수심과 홀수의 배의 길이에 대한 비들만의 함수이다. Wigley의 포물선형 선각과 Series 60의 $C_B$ 0.6에 대한 계산을 수행하고 그 결과를 기존의 실험결과(무한수심) 및 다른 이론결과(유한수심)와 비교하였다.

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FINITE ELEMENT METHOD - AN EFFECTIVE TOOL FOR ANALYSIS OF SHELL

  • Park, Chang-Koon;Lee, Tae-Yeol
    • 한국전산구조공학회:학술대회논문집
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    • 한국전산구조공학회 2003년도 가을 학술발표회 논문집
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    • pp.3-17
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    • 2003
  • This paper deals with the problems and their possible solutions in the development of finite element for analysis of shell. Based on these solution schemes, a series of flat shell elements are established which show no signs of membrane locking and other defects even though the coarse meshes are used. In the element formulation, non-conforming displacement modes are extensively used for improvement of element behaviors. A number of numerical tests are performed to prove the validity of the solutions to the problems involved in establishing a series of high performance flat shell elements. The test results reveal among others that the high accuracy and fast convergence characteristics of the elements are obtainable by the use of various non-conforming modes and that the ‘Direct Modification Method’ is a very useful tool for non-conforming elements to pass the patch tests. Furthermore, hierarchical and higher order non-conforming modes are proved to be very efficient not only to make an element insensitive to the mesh distortion but also to remove the membrane locking. Some numerical examples are solved to demonstrate the validity and applicability of the presented elements to practical engineering shell problems.

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유한차분법에 의한 임의 선체주위의 조파 Simulation (A Numerical Simulation of Ship Waves by Finite Difference Method)

  • 조규종;이강훈;이영길
    • 대한조선학회논문집
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    • 제28권2호
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    • pp.77-94
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    • 1991
  • 일정속도로 항주하는 배에 치하여 생성되는 파를 유한차분법을 이용하여 수치적으로 시뮬레이션 하였다. 지배방정식으로는 3차원 운동량방정식(Euler Eq.)과 연속방정식을 사용하였으며, 직교 좌표 계상에서의 수치계산은 FTCS(forward time/central space)로 차분화하고 시간전진 방법(time marching scheme)으로 수행하였다. 좌표계로 staggered variable mesh system을 채용하여 기존의 계산조직을 개선하므로써, 유체 유동의 변화가 심한 선체주위에 계산 정도를 높이기 위하여 cell을 집중시켰다. 개선된 전산프로그램을 이용하여 Wigley, Series 60($C_{b}$=0.6), 그리고 MS416B 산적화물선 선형등을 대상으로 수치계산을 수행하였으며, 그 결과들을 실험값과 비교하였다.

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