• 제목/요약/키워드: Piecewise Polynomial

검색결과 36건 처리시간 0.02초

곡선부에서 차륜 마모 저감을 위한 차륜답면 형상 설계 (Design of Wheel Profile to Reduce Wear of Railway Wheel)

  • 최하영;이동형;송창용;이종수
    • 한국정밀공학회지
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    • 제29권6호
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    • pp.607-612
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    • 2012
  • The wear problem of wheel flange occurs at sharp curves of rail. This paper proposes a procedure for optimum design of a wheel profile wherein flange wear is reduced by improving an interaction between wheel and rail. Application of optimization method to design problem mainly depends on characteristics of design space. This paper compared local optimization method with global optimization according to sensitivity value of objective function for design variables to find out which optimization method is appropriable to minimize wear of wheel flange. Wheel profile is created by a piecewise cubic Hermite interpolating polynomial and dynamic performances are analyzed by a railway dynamic analysis program, VAMPIRE. From the optimization results, it is verified that the global optimization method such as genetic algorithm is more suitable to wheel profile optimization than the local optimization of SQP (Sequential Quadratic Programming) in case of considering the lack of empirical knowledge for initial design value.

변온유입 성층축열조의 충전과정에 대한 해석적 접근 (Analytical approaches to the charging process of stratified thermal storage tanks with variable inlet temperature)

  • 유호선
    • 설비공학논문집
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    • 제9권1호
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    • pp.43-54
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    • 1997
  • This paper presents an approximate analytical solution to a two-region one-dimensional model for the charging process of stratified thermal storage tanks with variable inlet temperature in the presence of momentum-induced mixing. Based on the superposition principle, an arbitrary-varying inlet temperature is decomposed into inherent discontinuous steps and continuous intervals approximated as a finite number of piecewise linear functions. This approximation allows the temperature of the upper perfectly-mixed layer to be expressed in terms of constant, linear and exponential functions with respect to time. Applying the Laplace transform technique to the model equation for the lower thermocline layer subject to each of three representative interfacial conditions yields compact-form solutions, a linear combination of which constitutes the final temperature profile. A systematic method for deriving solutions to the plug-flow problem having polynomial-type boundary conditions is also established. The effect of adiabatic exit boundary on solution behaviors proves to be negligible under the actual working conditions, which justifies the assumption of semi-infinite domain introduced in the solution procedure. Finally, the approximate solution is validated by comparing it with an exact solution obtained for a specific variation of inlet temperature. Excellent agreements between them suffice to show the necessity and utility of this work.

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비선형회귀분석을 이용한 진공유리 모서리 접합단면 형상예측 (Prediction of the Edge Sealing Shape on the Vacuum Glazing Using the Nonlinear Regression Analysis)

  • 김영신;전의식
    • 한국산학기술학회논문지
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    • 제14권3호
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    • pp.1016-1021
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    • 2013
  • 수소혼합가스토치를 이용하여 유리 모서리 접합 시 접합부의 형상은 수소혼합가스의 유량, 토치의 이송속도, 토치와 유리사이의 거리 등 많은 공정변수들에 의해 영향을 받는다. 모서리 접합형상은 유리패널의 단열 및 기밀, 강도성능에 영향을 미치므로, 공정변수에 따른 접합부 형상예측에 대한 연구가 수행되어야 한다. 따라서 본 논문에서는 공정변수 설정 및 실험분석을 통하여, 공정변수에 따른 단면형상을 예측할 수 있는 회귀식을 도출하였다. 도출된 회귀식에 각 공정변수값을 적용하여 접합형상을 예측하고, 실제 모서리 접합 실험결과와 비교하여 회귀식의 타당성을 검증하였다.

Assessment and Correction of the Spectral Quality for the Savart Polarization Interference Imaging Spectrometer

  • Zhongyi Han;Peng Gao;Jingjing Ai;Gongju Liu;Hanlin Xiao
    • Current Optics and Photonics
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    • 제7권5호
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    • pp.518-528
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    • 2023
  • As an effective means of remotely detecting the spectral information of the object, the spectral calibration for the Savart polarization interference imaging spectrometer (SPIIS) is a basis and prerequisite of information quantification, and its experimental calibration scheme is firstly proposed in this paper. In order to evaluate the accuracy of the spectral information acquisition, the linear interpolation, cubic spline interpolation, and piecewise cubic interpolation algorithms are adopted, and the precision of the quadratic polynomial fitting is the highest, whose fitting error is better than 5.8642 nm in the wavelength range of [500 nm, 820 nm]. Besides, the inversed value of the spectral resolution for the monochromatic light is greater than the theoretical value, and the deviation between them becomes larger with the wavelength increasing, which is mainly caused by the structural design of the SPIIS, together with the rationality of the spectral restoration algorithm and the selection of the maximum optical path difference (OPD). This work demonstrates that the SPIIS has achieved high performance assuring the feasibility of its practical use in various fields.

보 이론을 이용한 대퇴골 재생성의 해석 (Book Remodeling Analysis of Femur Using Hybrid Beam Theory)

  • 김승종;정재연;하성규
    • 대한기계학회논문집A
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    • 제24권2호
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    • pp.329-337
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    • 2000
  • An investigation has been performed to develop an analysis tool based on a nonlinear beam theory, which can be used to predict the long-term behavior of an artificial hip joint. The nonlinear behav ior of the femur arise from the coupled dependence of the bone density and the mechanical properties on each other. The beam theory together with its numerical algorithm is developed to take into account the nonlinear bone remodeling process of the femur that is long enough to be assumed as a beam. A piecewise linear curve for the bone remodeling rate is used in the bone remodeling theory and the surface area density of bone is modeled as the third order polynomial function of bone density. At each section of the beam, a constant curvature is assumed and the longitudinal strains are also assumed to vary linearly across the section. The Newton-Rhapson iteration method is used to solve the nonlinear equations for each cross section of the bone and a backward method is used to march along the time. The density and the remodeling signal ar, calculated along with time for the various time steps, and the developed beam theory has been verified by comparing with the results of finite element analysis of a remodeling bone with an artificial hip joint of titanium prosthesis subjected to uni-axial loads and pure bending moment. It is concluded that the developed beam theory can be used to predict the long-term behavior of the femur and thus to design the artificial hip prosthesis.

화이트 채널 추가에 따른 색상이동모델를 이용한 DLP 프로젝터의 색 재현 (Color Reproduction in DLP Projector using Hue Shift Model according to Additional White Channel)

  • 박일수;하호건;하영호
    • 대한전자공학회논문지SP
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    • 제49권4호
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    • pp.40-48
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    • 2012
  • 본 논문은 추가적인 화이트 채널을 사용한 프로젝터와 사용하지 않은 프로젝터간의 매칭 실험을 통하여 색상이동 현상을 모델링하였고, 색상을 수정하는 방법을 제안하였다. 전체 색상 값에 대해 색상이동현상을 정량화하기 위하여, 동일한 밝기와 채도 값을 유지하여 24개의 색상 패치 값을 생성하여 이를 화이트를 추가한 상태와 추가하지 않은 상태에서 투영하였다. 다음으로 각각의 패치에 대해 화이트를 추가 하지 않은 상태와 동일한 색상으로 인지되도록 화이트를 추가한 상태의 색상 값을 변경하였다. 색상 매칭 실험을 통하여 얻은 색상 이동 값을 6개의 구간으로 나누어 4차 방정식을 이용하여 수식화하여 임의의 색상 값에 대한 색상 이동 값을 추정하였고, 색상 값을 수정하는 위하여 사용하였다. 실제로, 입력 RGB 영상은 각각의 픽셀에 대해 CIELAB LCH 색 공간으로 변경하여 각각의 픽셀의 색상 값을 계산하였다. 이 색상 값은 추정된 색상이동량을 이용하여 수정하게 된다. 최종적으로 결과 RGB 영상은 역 과정으로 변환하였다. 제안한 방법을 평가하기 위하여 여러 가지 테스트 영상을 이용하여 매칭 실험을 수행하였고 이를 z-scores를 이용하여 비교하였다.