• 제목/요약/키워드: Newton-Raphson Method

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원형관에서 상대수심을 고려한 점변류 해석 (Analysis of Gradually Varied Flow Considering Relative Depth in Circular Pipe)

  • 김민환;박정희;송창수
    • 상하수도학회지
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    • 제21권3호
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    • pp.287-294
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    • 2007
  • When we use the circular pipes for wastewater and storm water, we should be known the characteristics of the flow for accurate design. To elevate the design accuracy, we want to know the profile of flow. The roughness coefficient in the Manning equation is constant, but in actuality changed with the relative depth in circular pipe. This study was conducted to calculate the relative normal depth in changing the roughness coefficient (named relative roughness coefficient) with the relative depth in the analysis of gradually varied flow in the circular pipe by Newton-Raphson method. We performed the analysis of gradually varied flow using the relative normal depth and the relative roughness coefficient. We presented the 12 flow profiles with the relative depth and the relative roughness coefficient in circular pipe. The flow classification considering relative depth in circular pipe is available to analyse gradually varied flow profiles.

비선형계량법(非線型計量法)을 이용한 신뢰성(信賴性)의 최적화(最適化) (Reliability Optimization By using a Nonlinear Programming)

  • 이창호
    • 품질경영학회지
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    • 제9권2호
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    • pp.31-36
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    • 1981
  • 점증되고 있는 고신뢰성 제품의 설계에 있어 주어진 선형제약조건 내(內)에서 체계의 신뢰성을 최대화하는 방법을 소개하고 이를 해결하는 비선형계획법을 반복단계로 하여 Computer Programming을 하였다. 단, 본 논문에서 다루는 체계는 병렬중복구조를 갖는 직렬다단계 구조이다. 타당성 검토를 위한 예제를 해결하였으며 Computer Programming은 지면관계로 생략하였다.

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실측형상오차를 이용한 HDD 스핀들용 볼베어링의 NRRO 해석 (NRRO analysis of HDD spindle ball bearings using the measured geometric imperfection)

  • 김영철;최상규;윤기찬
    • 한국소음진동공학회:학술대회논문집
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    • 한국소음진동공학회 2002년도 추계학술대회논문집
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    • pp.369-374
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    • 2002
  • This paper presents theoretical analysis of the NRRO(non-repeatable run-out) for a ball bearing with geometric imperfection. The 3DOF dynamic analysis of a ball bearing using the Newton-Raphson method is performed to calculate the displacement of shaft center. Frequency and magnitude characteristics of radial and axial vibrations are investigated. The ball form errors of the ball, the inner race, and the outer race in a HDD spindle ball bearing are precisely measured. NRRO of a ball bearing is analyzed by using the measured waviness data. It is concluded that dominant components of radial vibrations are ${\Large}f_c\;and\;2{\Larg}f_b{\pm}{\Large}f_c$, and dominant component of axial vibrations is $2{\Large}f_b$. These are generated by the size error and the second waviness of the balls.

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구름요소의 Waviness 를 고려한 볼베어링 해석 이론 (Analytical Theory of Ball Bearing Considering Waviness of Rolling Elements)

  • 정성원;장건희
    • 한국소음진동공학회논문집
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    • 제11권7호
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    • pp.275-286
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    • 2001
  • The research presents an analytical theory to calculate the characteristics of the bal bearing with waviness in its rolling elements considering the centrifugal force and gyroscopic moment of bal. The effects of centrifugal force and gyroscopic moment are introduced to the kinematic constraints and force equilibrium equations. and the waviness of rolling elements is modeled by sinusoidal function to calculate the contact force at each ball. The numerical solutions of governing equation of berating due to waviness are calculated by using the Newton-Raphson method. The accuracy of the research is validated by comparing the contact force. contact angle in case of considering the centrifugal force and gyroscopic moment of bal and the contact force and vibration frequencies in cases of considering waviness with the prior researches respectively. It investigates the stiffness, contact force. displacement and vibration frequencies of the ball bearing considering not only the centrifugal force and gyroscopic moment of ball but also the waviness of the rolling elements.

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유한 베어링 모델링을 이용한 왕복동형 압축기 크랭크축의 동적 거동 및 윤활특성 해석 (Dynamic Behavior and Lubrication Characteristics of a Reciprocating Compressor Crankshaft by n Finite Bearing Model)

  • 김태종
    • Tribology and Lubricants
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    • 제18권6호
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    • pp.402-410
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    • 2002
  • In this study, a hydrodynamic analysis of the reciprocating compressor crankshaft considering a finite bearing modelling of the journal bearings used in small refrigeration compressors is performed. In the problem formulation of the compression mechanism dynamics, all corresponding hydrodynamic forces and moments are considered using the finite bearing analysis in order to determine the crankshaft trajectory at each step. The solution of the Reynolds' equation is determined numerically using a finite difference method and a Newton-Raphson procedure was employed in solving the dynamic equations of the crankshaft. The crankshaft orbits fur the finite bearing model and short bearing theory were used to compare the effect of the hydrodynamic farces of the journal bearings on the dynamic and lubrication characteristics of the crankshaft-journal bearing system. Results show that the finite bearing model for the journal bearings must be considered in calculating for the accurate dynamic characteristics of the reciprocating compressor crankshaft.

선단압력을 고려한 무한폭 틸팅-패드 저어널 베어링의 정특성 및 동특성 해석 (An Analysis of the Static and Dynamic Characteristics of Infinite Width Tilting-Pad Journal Bearings in Consideration of Ram-Prssure)

  • 김종수;김경웅
    • Tribology and Lubricants
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    • 제5권2호
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    • pp.68-76
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    • 1989
  • In this paper, the influence of ram-pressure on the static and dynamic characteristics of infinite width tilting-pad journal bearing is investigated theoretically. The ram-pressure is obtained by assumption of conservation of mechanical energy of the lubricant flow through the leading edge of the pad. The pressure in the lubricating film is numerically calculated using the ram-pressure obtained as the inlet pressure boundary condition of the pad. The static equilibrium state of tilting-pad journal bearing is determined by Newton-Raphson iteration method. A numerical results are presented in graphic form and relationships between the ram-pressure and the static and dynamic characteristics are discussed.

소음계 교정 자동화 시스템 개발 및 성능평가 (Development and Performance of Automated Calibration System of Sound Level Meters)

  • 김용태;조문재;이용봉;서재갑;서상준
    • 한국소음진동공학회:학술대회논문집
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    • 한국소음진동공학회 1998년도 춘계학술대회논문집; 용평리조트 타워콘도, 21-22 May 1998
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    • pp.704-709
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    • 1998
  • An automated calibration system of sound level meters was developed and tested. As a standard sound source, the speaker unit(Forstex FE208) cabineted by 440 * 390 * 490 mm$^{3}$(LHW) volume wood box was adopted. Including this source, the driving part was found out to have a good linearity of sound pressure output vs AC input. We use the Hybrid-Bisect, /Newton-Raphson method modified by the linearity as searching algorithm. Personal computer and program do the control, measurements, and calculations and finally do the accumulation of useful data and results. Several trials of automatic calibration using this developed system give reliable results.

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A Computationally Efficient Finite Element Analysis Algorithm Considering 2-D Magnetic Properties of Electrical Steel Sheet

  • Yao, Yingying;Li, Wei;Yoon, Hee-Sung;Fujiwara, Koji;Koh, Chang-Seop
    • Journal of Electrical Engineering and Technology
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    • 제3권3호
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    • pp.385-390
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    • 2008
  • For taking account of the two-dimensional magnetic properties of a grain-oriented electrical steel sheet, the effective anisotropic tensor reluctivity is examined, and a computationally efficient algorithm is suggested by using the response surface method to model the two-dimensional magnetic properties. It is shown that the reconstructed two-dimensional magnetic properties are fairly effective to stabilize the convergence characteristics of the Newton-Raphson iteration in the nonlinear magnetic field analysis.

3상 제어컨버터의 노치법에 의한 출력과 입출력의 저고조파 제거 (Low-Frequency Harmonic Eliminations on DC/AC Sides of a 3 Phase-Controlled Converter)

  • 홍성태;권순결;이현우;서기영;임근희
    • 대한전기학회논문지
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    • 제43권6호
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    • pp.906-915
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    • 1994
  • Line-Current harmonics resulting from ac to dc power conversion interfere with power system operation and reduce power factor, hence resulting in increasing power source unnecessarily. This study describes a 3 phase phase-controlled converter eliminating low frequency harmonics in the output by inserting notches. Notch points are calculated by Newton-raphson method, The impacts of the choppings on ac and dc sides are analyzed in the steady state. Potential applications of the study are dc motor controls, high power dc power supplies for telecommunications, static var compensators and HVDC.

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동기 페이저 측정치를 이용한 전력계통 매개변수 추정 (Estimation of Power System Parameters using Synchronized Phaser Measurements)

  • 송시철;조기선;신중린
    • 대한전기학회:학술대회논문집
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    • 대한전기학회 2000년도 하계학술대회 논문집 A
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    • pp.80-84
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    • 2000
  • Network parameters in power systems are indispensable for all of power system engineering studies, including the power flow calculation and the state estimation. The network parameters required for the studios, in general, are estimated by using several estimation techniques, since it Is very difficult to measure. To improve the estimation accuracy of the network parameters, this paper adopt the synchronized phasor measurements which are acquired from the Phasor Measurement Unit with built-in GPS receiver. In this paper, the parameter estimation problem is formulated with over-determined nonlinear measurement equations and solved with Newton-Raphson method and pseudo-inverse. The effectiveness of the proposed parameter estimation with the synchronized phasor measurements is verified through some case studies with IEEE sample system. The results are very promising.

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