• 제목/요약/키워드: Finite elements method

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${H^1}({\Omega})$-NORM ERROR ANALYSIS UNDER NUMERICAL QUADRATURE RULES BY THE P-VERSION OF THE FINITE ELEMENT METHOD

  • Kim, Ik-Sung;Kim, Chang-Geun;Song, Man-Suk
    • 대한수학회논문집
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    • 제9권2호
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    • pp.467-489
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    • 1994
  • Let $\Omega$ be a closed and bounded polygonal domain in R$^2$, or a closed line segment in R$^1$ with boundary $\Gamma$, such that there exists an invertible mapping T : $\Omega$ \longrightarrow $\Omega$ with the following correspondence: x$\in$$\Omega$ ↔ x = T(x) $\in$$\Omega$, (1.1) and (1.2) t $\in$ U$\sub$p/($\Omega$) ↔ t = to T$\^$-1/ $\in$ U$\sub$p/($\Omega$), where $\Omega$ denotes the corresponding reference elements I = [-1,1] and I ${\times}$ I in R$^1$ and R$^2$ respectively, (1.3) U$\sub$p/($\Omega$) = {t : t is a polynomial of degree $\leq$ p in each variable on $\Omega$}, and (1.4) U$\sub$p/($\Omega$) = {t : t = to T $\in$ U$\sub$p/($\Omega$)}.(omitted)

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광학거울 시스템의 지지구조 설계를 위한 라그랑지 방정식과 최적화 기법 적용에 의한 효과분석 (The Effectiveness Analysis Due to the Use of Lagrange Equation and the Optimization Technology for Design of the Support Structure of the Optical Mirror System)

  • 김학인;남병욱;김광태;김병운
    • 한국군사과학기술학회지
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    • 제21권3호
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    • pp.264-278
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    • 2018
  • The support structure of an optical mirror system is the one of the important design elements because the one affects the optical aberrations of the mirror surface. In this paper, Lagrange equation of the moving body of the fast steering mirror system(FSM) has been formulated to use with optimization design. Major goals for optimization are to assign the reasonably flexible stiffness to the structure and to enhance the first natural frequency of the mirror and support system in aid of more affordable control bandwidth for the FSM. Pursuing these purposes with the proposed method, the finite element analysis(FEA), optimization technique and the Zernike polynomial estimation are used for the design effects. It is concluded that the proposed approach for design well guides toward the desired design goals with regards to both structural and optical performances.

카본블랙 첨가 PMC(Polyethylene Matrix Composites)의 문턱스며들기(Percolation Threshold)와 절연파괴 강도 임계지수 (Percolation Threshold and Critical Exponent of Dielectric Breakdown Strength of Polyethylene Matrix Composites added Carbon Black)

  • 신순기
    • 한국재료학회지
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    • 제21권9호
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    • pp.477-481
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    • 2011
  • Composites of insulating polyethylene and carbon black are widely used in switching elements, conductive paint, and other applications due to the large gap of resistance value. This research addresses the critical exponent of dielectric breakdown strength of polymer matrix composites (PMC) made with carbon black and polyethylene below the percolation threshold (Pt) for the first time. Here, Pt means the volume fraction of carbon black of which the resistance of the PMC is transferred from its sharp decrease to gradual decrease in accordance with the increase of carbon-black-filled content. First, the Pt is determined based on the critical exponents of resistivity and relative permittivity. Although huge cohesive bodies of carbon black are formed in case of being less than the Pt, a percolation path connecting the conducting phases is not formed. The dielectric breakdown strength (Dbs) of the PMC below Pt is measured by using an impulse voltage in the range from 10 kV to 40 kV to avoid the effect of joule heating. Although the observed Dbs data seems to be well fitted to a straight line with a slope of 0.9 on a double logarithm of (Pt-$V_{CB}$) and Dbs, the least squares method gives a slope of 0.97 for the PMC. It has been found that finite carbon-black clusters play an important role in dielectric breakdown.

Optimum Design of Stator and Rotor Shape for Cogging Torque Reduction in Interior Permanent Magnet Synchronous Motors

  • Yu, Ju-Seong;Cho, Han-Wook;Choi, Jang-Young;Jang, Seok-Myeong;Lee, Sung-Ho
    • Journal of Power Electronics
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    • 제13권4호
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    • pp.546-551
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    • 2013
  • This paper deals with the optimum design of the stator and rotor shape of the interior permanent magnet synchronous motors (IPMSM) that are used in applications for automobiles. IPMSMs have the following advantages: high power, high torque, high efficiency, etc. However, cogging torque which causes noise and vibrations is generated at the same time. The optimum design of shape of a IPMSM was carried out with the aim of reducing cogging torque. Six variables which affect to the performance of a IPMSM are chosen. The main effect variables were determined and applied to the response surface methodology (RSM). When compared to the initial model using the finite elements method (FEM), the optimum model highly reduces the cogging torque and improves the total harmonics distortion (THD) of the back-electro motive force (EMF). A prototype of the designed model was manufactured and experimented on to verify the feasibility of the IPMSM.

도포된 오일의 변화에 따른 Epoxy/EPDM 계면의 교류 절연 파괴 특성에 관한 연구 (A Study on the AC Interfacial Breakdown Properities of the Interface between Epoxy/EPDM with the variation of spreaded oil)

  • 배덕권;이수길;정일형;이준웅
    • 대한전기학회:학술대회논문집
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    • 대한전기학회 1999년도 추계학술대회 논문집 학회본부 C
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    • pp.897-899
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    • 1999
  • In this paper, the interfacial dielectric breakdown phenomenon of interface between Epoxy/EPDM (ethylene propylene diene terpolymer) was discussed, which affects stability of insulation system of power delivery devices. Specimen structure was designed by using MAGSOFT's FLUX2D based on the finite elements method. Design concepts is to reduce the effect of charge transport from electrode in the process of breakdown and to have the tangential electrical potential with the Epoxy/EPDM interface. AC interfacial breakdown phenomenon of was investigated by variation of interfacial conditions oil and temperature which are supposed to have influence on the interfacial breakdown strength. Interfacial breakdown strength was improved by spreading oil over interfacial surface. The decreasing ratio of the AC interfacial breakdown strength in non-oiled specimens was increased by the temperature rising and its of oiled specimens was not affected by temperature.

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쉘형 구조물의 최적곡면 탐색에 관한 연구 (A Study on Optimum Shape Finding of Shell-Typed Structures)

  • 김승덕;이신우
    • 한국공간구조학회논문집
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    • 제8권2호
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    • pp.105-113
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    • 2008
  • 쉘형 구조물은 외력에 대해 효과적으로 저항할 수 있어, 두께를 얇게하면서 대공간 구조물을 만들 수 있는 장점이 있다. 이러한 장점은 구조형태에 크게 의존한다. 그러므로 많은 설계자들은 최적 형태를 설계에 반영하고자 하지만, 이는 간단치 않다. 지금까지 보다 최적의 형태를 얻기 위한 많은 기법들이 발표되어 왔고, 이들은 각각 장단점을 나타낸다. 본 논문에서는 최적의 곡면을 얻기 위해 기하학적 비선형을 고려한 유한요소법을 이용한 비교적 간단한 방법을 제안한다. 이러한 방법을 이용하여 다양한 쉘형 곡면에 적용하여 최적곡면을 얻고, 이를 비교한다.

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CNC 자동선반 스핀들시스템의 동적 거동 해석 (Analysis of the Dynamic Behavior of a CNC Automatic Lathe Spindle System)

  • 김태종;구자함;이시복;김문생
    • 한국소음진동공학회논문집
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    • 제19권3호
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    • pp.261-267
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    • 2009
  • The spindle with a built-in motor can be used to simplify the structure of machine tool system, while the rotor has unbalance mass inevitably. Therefore, it is important to recognize the effect of unbalance mass. This paper presents analysis of dynamic behavior of a high speed spindle with a built-in motor. The spindle is supported by the angular contact ball bearings and the rotor is fixed at the middle of spindle. The spindle used in CNC automatic lathe has been investigated using combined methodologies of finite elements and transfer matrices. The Houbolt method is used for the integration of the system equations and the dynamic behavior of spindle is obtained considering unbalance mass of rotor. Results show that increasing rotational speed of spindle magnifies the whirl responses of spindle seriously. Also the whirl responses of spindle are affected by the other factors such as unbalance mass and bearing stiffness.

위상-치수 최적화에 의한 마이크로 구동기 판 스프링의 설계 (Plate Spring Design of a Micro Actuator Using Topology-parameter Optimization)

  • 이종진;이호철;유정훈
    • 한국소음진동공학회논문집
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    • 제17권12호
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    • pp.1246-1253
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    • 2007
  • The recent issue of optical pickup actuators is to apply optical storage devices to mobile devices such as a cellular phone and PDA. It requires actuators to become smaller than conventional types. As the size becomes smaller, the magnetic force is reduced and the assembly of optical pickup actuators becomes more difficult. In addition, its dynamic characteristics are changed. In this paper, methods to improve magnetic forces and dynamic characteristics are suggested and the optimal result of the plate spring design is obtained. A diamond shape magnet and the fine pattern coil (FPC) are used to improve magnetic forces and damping elements are attached to decrease the peak magnitude of the mode instead of using structural damping, mostly for the purpose of improving the accuracy of the finite element simulation. To get more stable dynamic characteristics than conventional ones, a plate spring is applied to the optical pickup actuator and it is optimized with topology and parameter optimization to obtain the concept and the detail design, respectively.

6도체 무볼트형 스페이서 댐퍼의 중량변화에 따른 진동현상 (Vibration Phenomenon with Weight Change of 6 Bundle Boltless Spacer Damper)

  • 김영달
    • 한국소음진동공학회논문집
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    • 제13권9호
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    • pp.671-678
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    • 2003
  • Spacer dampers maintain the constant gaps between each conductor in a bundle conductor-transmission line, and are installed at proper intervals to keep a line from all sorts of damages derived from the vibration energy caused by mechanical or electrical external factors. It is most important to embody a technology which considers difficulties of maintenance and repair, and has optimum elements in order to prevent accidents such as destruction by fire or the snapping of a wire by the effect of vibration phenomenon coming from transmission line. In the present thesis, therefore, the analysis of vibratory characteristics of spacer damper is set up by analytical methods such as the analysis of conductor motion's governing equation, the equation of spacer damper's motion, spacer damper-fastened wire's motion in a span, and the numerical analysis of finite difference method. Furthermore, the installation distance between spacer dampers was scrutinized by simulations of various vibration phenomena which change at any time as actual conditions do, and hereafter we will be able to analyze all kinds of vibration phenomena coming from a boltless spacer damper with 6 bundle conductor for 765 k V transmission line based on new analytical methods.

발전소용 공랭식 응축기(ACC)의 작동조건 변화에 따른 성능특성에 대한 수치적 연구 (A Numerical Study on the Performance Characteristics of a Power Plant Air-Cooled Condenser (ACC) Affected by Changes in Operating Conditions)

  • 박경민;주기홍;박창용
    • 한국생산제조학회지
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    • 제26권2호
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    • pp.243-250
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    • 2017
  • A numerical study was conducted to calculate the cooling capacity variation of a power plant ACC (air-cooled condenser) caused by changes in operating conditions. A numerical model was developed using the ${\varepsilon}-NTU$ and finite volume method, containing 100 elements for a single low fin tube. The model was validated through a comparison of cooling capacity between the simulated values and manufacturer's data. Even though simple assumptions and previously presented heat transfer correlations were applied to the model, the prediction error was 1.9%. The simulated variables of the operating conditions were air velocity, air temperature, and mass flux. The analysis on the variation of thermal resistance along the tube showed that the water side thermal resistance was higher than the air side thermal resistance at the downstream end of the tube, indicating that the ACC capacity could be increased by applying technology to enhance in-tube flow condensation heat transfer.