• 제목/요약/키워드: 1st order differential method

검색결과 17건 처리시간 0.025초

박판 맞대기 용접에서 전자기식 센서를 이용한 용접선 자동 추적 시스템에 관한 연구 (A Study on Automatic Seam Tracking System Using Electro-Magnetic Sensor for Sheet Metal Arc Welding of Butt Joints)

  • 유병희;김재웅
    • Journal of Welding and Joining
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    • 제15권1호
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    • pp.81-91
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    • 1997
  • In this study, a magnetic sensor to make use of eddy current was developed to detect the weld seam of butt joint in the sheet metal arc welding. This system consist of the sensor device for detecting the weld line, the servo control device for driving the weld torch movement and the control unit. A signal processing was applied to smooth the output signal of the sensor. The weld joint was determined by using a 1st order differential method. To improve tracking accuracy of the system, moving average method which has an effect of proportional and weighted integral control was applied to a series of the weld joint positions obtained above. The weld line for tracking was generated by using data regeneration algorithm. Based on these results, each servo motor was controlled by pulse generator. From experimental results, it was revealed that this system has excellent detecting ability for weld line and seam tracking ability.

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AN OVERLAPPING SCHWARZ METHOD FOR SINGULARLY PERTURBED THIRD ORDER CONVECTION-DIFFUSION TYPE

  • ROJA, J. CHRISTY;TAMILSELVAN, A.
    • Journal of applied mathematics & informatics
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    • 제36권1_2호
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    • pp.135-154
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    • 2018
  • In this paper, an almost second order overlapping Schwarz method for singularly perturbed third order convection-diffusion type problem is constructed. The method splits the original domain into two overlapping subdomains. A hybrid difference scheme is proposed in which on the boundary layer region we use the combination of classical finite difference scheme and central finite difference scheme on a uniform mesh while on the non-layer region we use the midpoint difference scheme on a uniform mesh. It is shown that the numerical approximations which converge in the maximum norm to the exact solution. We proved that, when appropriate subdomains are used, the method produces convergence of second order. Furthermore, it is shown that, two iterations are sufficient to achieve the expected accuracy. Numerical examples are presented to support the theoretical results. The main advantages of this method used with the proposed scheme are it reduce iteration counts very much and easily identifies in which iteration the Schwarz iterate terminates.

A New Approach on the Scattering of Electromagnetic Radiation for Spherical Raindrop by the Invariant Imbedding Method

  • 이경동;이동훈;김기홍
    • 한국우주과학회:학술대회논문집(한국우주과학회보)
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    • 한국우주과학회 2003년도 한국우주과학회보 제12권2호
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    • pp.35-35
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    • 2003
  • In satellite communication, attenuation, scattering, and depolarization of relatively high frequency waves such as millimeter waves are strongly influenced by rain. In order to study the rain attenuation, we introduce a new theoretical method, which enables us to obtain the reflection and transmission coefficients in arbitrary medium. We adopt this method to examine how the electromagnetic radiation is affected by homogeneous spherical raindrops. It is assumed that the raindrop shape is spherical and linearly locate in one direction. For the radiation of wave in raindrops, we consider the effective permittivity, in which the raindrop is assumed to be spherical. By adopting the invariant imbedding approach, the 1st order differential equations are derived for the reflection and transmission coefficients. We investigate the transmission and reflection of waves for various incident angles when the spherical raindrops are assumed to have random sizes.

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동적효과를 고려한 저류함수모형의 최적 매개변수 결정 (The optimal parameter estimation of storage function model based on the dynamic effect)

  • 김종래;김주철;정동국;김재한
    • 한국수자원학회논문집
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    • 제39권7호
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    • pp.593-603
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    • 2006
  • 강우로부터 유출현상은 고유적으로 비선형성이다. 더욱이 실제적으로 이와 같은 비선형성의 해석은 많은 어려움을 내포하고 있다. 또한, 부정류효과의 동적작용을 고려한 저류개념은 매개변수의 유역특성상 추정하기가 상당히 복잡하기 때문에 피해오고 있는 실정이다. 본 연구에서는 이와 같은 동적효과를 고려한 비선형의 저류함수에 대한 매개변수의 최적치를 얻고자 시도한다. 이를 위한 수치해법은 금강의 보청천유역의 관측치와 계산치의 오차를 최소로 하는 최소자승법에 의거 준선형화, Runge-Kutta 및 pattern-search 법들을 적용한다. 본 연구의 동적효과를 고려한 비선형 개념적모형의 적용성은 비선형성만을 고려한 저류함수모형 및 기존의 Nash 모형과 비교하여 검토하였다. 그 결과 2계모형이 l계모형보다 강우로부터 유출예측치를 보다 더 잘 재현하는 것을 알 수 있었으며, Nash 모형과는 대등함을 보여주었다. 여기서 획득된 매개변수들은 물리적 의미뿐만 아니라 본 모형의 국내 적용성도 제공한다.

2차원 익렬 익형의 최적역설계 (Optimum Inverse Design of 2-D Cascade Airfoil)

  • 조장근;박원규
    • 대한조선학회논문집
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    • 제39권4호
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    • pp.17-23
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    • 2002
  • 2차원 익렬 익형의 표면에 목적하는 압력계수 분포를 설정하고 그 압력계수의 분포에 해당하는 형상을 설계하기 위해 임의의 초기형상으로부터 목적 형상에 근접해가도록 최적화 기법을 도입하여 역설계를 수행하였다. 목적함수인 표면압력계수를 구하기 위해 비직교 일반좌표계상의 2차원 비압축성 나비어-스톡스 방정식을 사용하였으며 목적함수의 감소를 위해서는 최속강하법과 공액 경사도 방법을 사용하였다. 해의 탐색방향을 위해 1차 정확도의 유한 차분화를 행하였고, 해의 탐색거리를 위해 황금분할법을 사용하였다. 본 연구의 결과, 목적한 형상으로의 수렴성이 뛰어남을 확인할 수 있었다.

이족로봇의 선형모델결정과 제어에 관한 연구 (A Study on the Determination of Linear Model and Linear Control of Biped Robot)

  • 박인규;김진걸
    • 대한전기학회:학술대회논문집
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    • 대한전기학회 2000년도 추계학술대회 논문집 학회본부 D
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    • pp.765-768
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    • 2000
  • Linearization of the biped dynamic equations and design of linear controller for the linearized equations are studied in this paper. The biped robot with inverted pendulum type trunk, used to stabilize the dynamic balancing of the biped robot during dynamic walking period, is modelled with 14 DOF and simulated. Despite of well defined linear control theories so far, the linear control methods was limited to the applications for a walking robot, because they have been inherently strong nonlinear properties, such as a modeling parameter uncertainties, external forces as noise, inertial and Coriolis terms by three dimensional modeling and so on. To linearize the nonlinear equations of motion of biped robot on MIMO and time varying linear equations of motion, 1st order Taylor series is used to formulate the linear equation. And a 2nd order numerical perturbation method Is used to approximate partial differential equations. Using the linearized equations of motion, a linear controller is designed by pole placement method with feed forward compensation. Using the obtained linearized equations and linear controller, the continuous walking simulation is performed.

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해석해를 이용한 질량변화가 있는 위성 부품에 대한 발사시 열해석 (Launch Stage Thermal Analysis on a Mass Varying Satellite Box by Analytical Solutions)

  • 최준민;김희경;현범석
    • 대한기계학회:학술대회논문집
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    • 대한기계학회 2003년도 추계학술대회
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    • pp.163-168
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    • 2003
  • Analytical approach is applied to predict temperature of satellite box under worst hot condition from fairing jettison to separation. The box is tried to solve analytically which is exposed to known environmental heating condition and has internal heating and irradiation to space. For a single thermal mass, governing equation for temperature is simplified to 1st order ordinary differential equation(ODE) by several assumptions. Two cases are considered. The one is for constant mass box and the other is for mass-varying box. Each case has three different analytical solution by sign of constant term in ODE. One analytical solution for constant mass is applied to physical launch stage condition. It is concluded that the present analytical method can be used to quick predict the temperature of a satellite box and check whether a satellite is safe against space environment during launch stage.

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공간보간법 적용을 통한 산림 종다양성지수의 공간적 추정 - 제1차 산림의 건강·활력도 조사 자료를 이용하여 - (Spatial Estimation of Forest Species Diversity Index by Applying Spatial Interpolation Method - Based on 1st Forest Health Management data-)

  • 이준희;류지은;최유영;정혜인;전성우;임종환;최형순
    • 한국환경복원기술학회지
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    • 제22권4호
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    • pp.1-14
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    • 2019
  • The 1st Forest Health Management survey was conducted to examine the health of the forests in Korea. However, in order to understand the health of the forests, which account for 63.7% of the total land area in South Korea, it is necessary to comprehensively spatialize the results of the survey beyond the sampling points. In this regard, out of the sample points of the 1st Forest Health Management survey in Gyeongbuk area, 78 spots were selected. For these spots, the species diversity index was selected from the survey sections, and the spatial interpolation method was applied. Inverse distance weighted (IDW), Ordinary Kriging and Ordinary Cokriging were applied as spatial interpolation methods. Ordinary Cokriging was performed by selecting vegetation indices which are highly correlated with species diversity index as a secondary variable. The vegetation indices - Normalized Differential Vegetation Index(NDVI), Leaf Area Index(LAI), Sample Ratio(SR) and Soil Adjusted Vegetation Index(SAVI) - were extracted from Landsat 8 OLI. Verification was performed by the spatial interpolation method with Mean Error(ME) and Root Mean Square Error(RMSE). As a result, Ordinary Cokriging using SR showed the most accurate result with ME value of 0.0000218 and RMSE value of 0.63983. Ordinary Cokriging using SR was proven to be more accurate than Ordinary Kriging, IDW, using one variable. This indicates that the spatial interpolation method using the vegetation indices is more suitable for spatialization of the biodiversity index sample points of 1st Forest Health Management survey.

진공용 공기베어링의 성능해석 (Performance Analysis of a Vacuum-Compatible Air Bearing)

  • 김경호;박천홍;이후상;김승우
    • 한국정밀공학회지
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    • 제23권10호
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    • pp.103-112
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    • 2006
  • This paper describes a theoretical analysis and experimental verification on the performances of a vacuum-compatible air bearing, which is designed with a cascaded exhaust scheme to minimize the air leakage in a vacuum environment. The design of the vacuum-compatible air bearing equipped with the differential exhaust system requires great care because several design parameters, such as the number of exhaust stages, diameter of exhaust tube, pumping speed of a vacuum pump, and bearing clearance greatly influence the air leakage and thus degree of vacuum. In this study, a performance analysis method was proposed to estimate the performances of the air bearing, such as load capacity, stiffness, and air leakage. Results indicate that the load capacity and stiffness of the air bearing was improved as its boundary pressure, which was determined by the $1^{st}$ exhaust method, was lowered, and the dominant factors on the chamber's degree of vacuum were the number of exhaust stages, exhaust tube diameter and bearing clearance. A vacuum chamber and air bearing stage using porous pad were fabricated to verify the theoretical analysis. The results demonstrate that chamber pressure up to an order of $10^{-3}$ Pa was achieved with the air bearing stage operating inside the chamber, and this analysis method was valid by comparing predicted values with experimental data, for the mass flow rates from the porous pad, and pressures at each exhaust port and chamber, respectively.

점성댐퍼를 갖는 엔진 축계의 비선형 비틀림강제진동 (Nonlinear Forced Torsional Vibration for the Engine Shafting System With Viscous Damper)

  • 박용남;송성옥;김의간;전효중
    • Journal of Advanced Marine Engineering and Technology
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    • 제20권4호
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    • pp.50-58
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    • 1996
  • The torsional vibration of the propulsion shafting system equipped with viscous damper is investigated. The equivalent system is modeled by a two mass softening system with Duffing's oscillator and the vibratory motion is described by non-linear differential equations of second order. The damper casing is fixed at the front-end of crankshaft and the damper's inertia ring floats in viscous silicon fluid inside of the camper casing. The excitation frenquency is proportional to the rotational speed of engine. The steady state response of the equivalent system is analyzed by the computer and for this analyzing, the harmonic balance method is adopted as a non-linear vibration analysis technique. Frequency response curves are obtained for 1st order resonance only. Jump phenomena are explained. The discriminant for the solutions of the steady state response is derived. Both theoretical and measured results of the propulsion shafting system are compared with and evaluated. As a result of comparisions with both data, it was confirmed that Duffing's oscillator can be used in the modeling of the propulsion shafting system attached with viscous damper with non-linear stiffness.

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