• 제목/요약/키워드: operator equation

검색결과 377건 처리시간 0.018초

Parametric pitch instability investigation of Deep Draft Semi-submersible platform in irregular waves

  • Mao, Huan;Yang, Hezhen
    • International Journal of Naval Architecture and Ocean Engineering
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    • 제8권1호
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    • pp.13-21
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    • 2016
  • Parametric pitch instability of a Deep Draft Semi-submersible platform (DDS) is investigated in irregular waves. Parametric pitch is a form of parametric instability, which occurs when parameters of a system vary with time and the variation satisfies a certain condition. In previous studies, analyzing of parametric instability is mainly limited to regular waves, whereas the realistic sea conditions are irregular waves. Besides, parametric instability also occurs in irregular waves in some experiments. This study predicts parametric pitch of a Deep Draft Semi-submersible platform in irregular waves. Heave motion of DDS is simulated by wave spectrum and response amplitude operator (RAO). Then Hill equation for DDS pitch motion in irregular waves is derived based on linear-wave theory. By using Bubnov-Galerkin approach to solve Hill equation, the corresponding stability chart is obtained. The differences between regular-waves stability chart and irregular-waves stability chart are compared. Then the sensitivity of wave parameters on DDS parametric pitch in irregular waves is discussed. Based on the discussion, some suggestions for the DDS design are proposed to avoid parametric pitch by choosing appropriate parameters. The results indicate that it's important and necessary to predict DDS parametric pitch in irregular waves during design process.

접촉각 측정 원리를 이용한 새로운 사이즈도 측정기 (제1보) -자동 접촉각 측정 원리의 개발 - (Development of a Novel System for Measuring Sizing Degree Based on Contact Angle(I) - Development of a Novel Principle for Automatic Measurement of Contact Angle -)

  • 이찬용;김철환;최경민;박종열;권오철
    • 펄프종이기술
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    • 제35권3호
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    • pp.43-52
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    • 2003
  • The new principle to measure a sizing degree by a contact angle was developed using an automatic determination of the 3-end point coordinates of the water droplet on a sheet, which could diminish the operator's bias during measurement. A constant amount of water was first placed on a sample sheet by a water dispenser, and then an image of the liquid droplet was captured by a digital camera and then transmitted to a computer. The program measuring for contact angle extracted a liquid contour by Gaussian function combined with a 8-direction chain code. The Euclidean equation was applied to the binary image of the liquid contour in order to measure the diameter of the contour. Finally, the contact angle of the liquid was calculated by using the diameter and the top coordinates. In addition, a surface free energy of the sample sheet and an elapsed time taken up to the complete absorption into the sheet were simultaneously measured with the contact angle.

2차원 영상 정보를 이용한 3차원 위치 측정 알고리즘 개발 (Development of a 3-D Position Measurement Algorithm using 2-D Image Information)

  • 이준호;정성호;김동현
    • 한국기계가공학회지
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    • 제12권5호
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    • pp.141-148
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    • 2013
  • There are several problems in the conventional 2-D image processing and 3-D measurement systems. In the case of the 2-D image processing system, it is not possible to detect elevation data. In a 3-D measurement system, it requires a skillful operator and a lot of time for measuring data. Also, there exist data errors depending on operators. The limitation of detecting elevation data in the 2-D image processing system can be solved by laser diodes. In this study an algorithm that measures the accurate data in a subject face to be detected by combining laser diodes and a commercial CCD camera is developed. In the development process, a planar equation is developed using laser diodes and the equation is used to obtain a normal vector. Based on the results, an algorithm that transforms commercial CCD camera coordinates to 3-D coordinates is proposed. The completed measurement method will be applied to replace a manual measurement system for vehicle bodies and parts by an automated system.

GMAW 공정 중 용접 변수들이 용접 폭에 미치는 영향에 관한 연구 (The Effects of Welding Process Parameters on Weld bead Width in GMAW Processes)

  • 김일수;권욱현;박창언
    • Journal of Welding and Joining
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    • 제14권4호
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    • pp.33-42
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    • 1996
  • In recent years there has been a significant growth in the use of the automated and/or robotic welding system, carried out as a means of improving productivity and quality, reducing product costs and removing the operator from tedious and potentially hazardous environments. One of the major difficulties with the automated and/or robotic welding process is the inherent lack of mathematical models for determination of suitable welding process parameters. Partial-penetration, single-pass bead-on-plate welds were fabricated in 12mm AS 1204 mild steel flats employing five different welding process parameters. The experimental results were used to develop three empirical equations: curvilinear; polynomial; and linear equations. The results were also employed to find the best mathematical equation under weld bend width to assist in the process control algorithms for the Gas Metal Arc Welding(GMAW) process and to correlate welding process parameters with weld bead width of bead-on-plates deposited. With the help of a standard statistical package program. SAS, multipe regression analysis was undertaken for investigating and modeling the GMAW process, and significance test techniques were applied for the interpretation of the experimental data.

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전자파의 과도적 산란 특성에 관한 새로운 수치해석 연구 (On the Study of New Numerical Analysis in the Transient Electromagnetic Wave Scattering)

  • 이강호;이상회;김정기
    • 한국통신학회논문지
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    • 제15권1호
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    • pp.1-8
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    • 1990
  • 본 논문에서는 유전체 원통주의 전자파 과도 응답 산란 특성을 새로운 수치 해석 방법으로 연구하낟. 수치 해석에 사용하는 경계적분 방정식(BIE)의 기본 수식은 가중 잔차법으로 부터 시작된다. 경계 적분 방정식을 확장 경계 조건과 표면 경계 조건을 물체의 표면점 내부와 외부에 적용시켜 두개의 연립방정식을 만든다. 수치해석으로 경계요소법을 사용하고, 이 방법에는 직접법과 간접법 두 가지가 있다. 그래서 연산자를 메트릭스 역변환하는 간접법을 수치해석방법으로 사용한다. 결과값은 다른 연구 결과값과 좋은 일치를 보인다.

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State-Space Analysis on The Stability of Limit Cycle Predicted by Harmonic Balance

  • Lee, Byung-Jin;Yun, Suk-Chang;Kim, Chang-Joo;Park, Jung-Keun;Sung, Sang-Kyung
    • Journal of Electrical Engineering and Technology
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    • 제6권5호
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    • pp.697-705
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    • 2011
  • In this paper, a closed-loop system constructed with a linear plant and nonlinearity in the feedback connection is considered to argue against its planar orbital stability. Through a state space approach, a main result that presents a sufficient stability criterion of the limit cycle predicted by solving the harmonic balance equation is given. Preliminarily, the harmonic balance of the nonlinear feedback loop is assumed to have a solution that determines the characteristics of the limit cycle. Using a state-space approach, the nonlinear loop equation is reformulated into a linear perturbed model through the introduction of a residual operator. By considering a series of transformations, such as a modified eigenstructure decomposition, periodic averaging, change of variables, and coordinate transformation, the stability of the limit cycle can be simply tested via a scalar function and matrix. Finally, the stability criterion is addressed by constructing a composite Lyapunov function of the transformed system.

로그폴라 영상 표현을 위한 매개변수 방정식의 Hough 변환 (Parametric Equation of Hough Transform for Log-Polar Image Representation)

  • 최일;김동수;태성일
    • 대한전자공학회논문지SP
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    • 제39권4호
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    • pp.455-461
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    • 2002
  • 본 논문에서는 로그폴라 (log-polar) 영상 평면에서의 Hough 변환을 위하여, 잘 알려진 unboundedness 문제를 해결하는 새로운 폴라 형태의 로그 직선 (log line) 매개변수 방정식을 제안한다. 직각 좌표상의 영상으로부터 로그폴라 영상을 생성하기 위하여, 황반부와 주변 영역으로 분리되는 Bolduc의 방법을 이용한다. 그리고 Hough 변환의 입력으로 이용되는 로그폴라 에지 영상은 Sobel 연산자로부터 추출되는 황반부 에지 영상과 본 논문에서 제안하는 공간변형 가중치가 고려된 새로운 그래디언트 연산자가 적용되어 추출되는 주변 영역을 결합하여 생성한다. 그런데 LPM (log-polar mapping; LPM)의 고유한 특성인 비선형 표본화로 인하여 시선고착점으로부터 멀리 떨어진 주변 영역에 포함되는 로그 직선들을 구성하는 화소들은 매우 산재되어 분포된다. 이러한 로그 직선들을 효과적으로 검출하기 위하여 Hough 누적 셀의 값이 공간변형 가중치가 고려되어 계산되도록 한다. 본 논문에서 제안하는 방법이 황반부와 주변 영역을 동시에 지나는 직선들뿐만 아니라 시선고착점으로부터 멀리 떨어진 주변 영역에 존재하는 직선들도 검출될 수 있음을 실험을 통하여 확인한다.

일방향 파동방정식을 이용한 복잡한 구조의 키리히호프 중합전 심도구조보정 (Kirchhoff Prestack Depth Migration for the Complex Structure Using One-Way Wave Equation)

  • 고승원;양승진
    • 지구물리와물리탐사
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    • 제5권1호
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    • pp.18-22
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    • 2002
  • 단일 도달주시로서 최대에너지 도달주시는 카르히호프 구조보정을 위한 가장 적합한 연산자로 알려져 있다. 단순구조모델의 경우에 초동주시나 최대에너지 도달주시는 모두 정확한 카르히호프 구조보정 연산자로 사용될 수 있다. 그러나 구조가 복잡하고 속도대비가 큰 모델에 대해서 초동주시를 이용한 구조보정은 정확한 심도단면도를 얻을 수 없다. 즉 카르히호프 구조보정에서 요구되는 주시는 최대에너지 도달주시이지만 이 주시는 초동주시에 비해 상당히 많은 계산시간을 요한다. 본 논문에서는 일방향 파동방정식을 이용하여 최대에너지 도달주시에 근사한 주시를 계산하는 방법을 제안한다. 일방향 파동 방정식을 이용해 초동주시를 계산할 때 사용되는 WAS(Wrap Around Suppression, 두루마리현상억제)계수를 수평방향의 격자간격과 깊이에 대한 함수로 정의하고 음원 파형의 지연시간을 고려하여 최대 에너지 도달 시간에 근사한 주시를 구하였다. 이 주시의 타당성을 검증하고자 계산된 주시를 단순구조 및 복잡한 구조의 구조보정에 적용하고 그 심도단면도를 초동주시를 이용해 구한 심도단면도와 비교하였다.

실험계획법을 이용한 성형한계곡선 최적화 연구 (Forming Limit Curve Optimization using Design of Experiments)

  • 임희택;이병주;임영목;김병기;김정한
    • 한국소성가공학회:학술대회논문집
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    • 한국소성가공학회 2008년도 추계학술대회 논문집
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    • pp.386-389
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    • 2008
  • Forming limit diagram is created by graphical illustration indicating major and minor strain. In order to provide the criterion for forming safety, FLC(forming limit curve) need to be fitted to the diagram. However, the standard method for the strain measurement and FLC plotting are not fixed yet, which results in inconvenience in digitalized analysis. In this study, new construction method for FLC was suggested in order to minimize operator dependency. For this purpose, major and minor strain were measured automatically and analyzed. Then, a second order equation is adopted to fit the FLC. Optimized by response surface method was performed to ensure particular characteristics of the FLC.

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SOLUTIONS TO M-POINT BOUNDARY VALUE PROBLEMS OF THIRD ORDER ORDINARY DIFFERENTIAL EQUATIONS AT RESONANCE

  • XUE CHUNYAN;DU ZENGJI;GE WEIGAO
    • Journal of applied mathematics & informatics
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    • 제17권1_2_3호
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    • pp.229-244
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    • 2005
  • In this paper, we study the third order ordinary differential equation : $$x'(t)=f(t,x(t),x'(t),x'(t)),t{\in}(0,1)$$ subject to the boundary value conditions: $$x'(0)=x'(\xi),x'(1)=^{m-3}{\Sigma}_{i=1}{{\beta}x'({\eta}i),x'(1)=0}$$. Here ${\beta}_{i}{\in}R,\;^{m-3}{\Sigma}_{i=1}\;{\beta}_{i}\;=\;1,\;0<{\eta}_1<{\eta}_2<{\cdots}<{\eta}_{m-3}<1,\;0<\xi<1$. This is the case dimKer L = 2. When the ${\beta}_i$ have different signs, we prove some existence results for the m-point boundary value problem at resonance by use of the coincidence degree theory of Mawhin [12, 13]. Since all the existence results obtained in previous papers are for the case dimKerL = 1, our work is new.