• 제목/요약/키워드: Analysis Domain

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분수맥락에서의 곱셈 추론: Domain Analysis and Taxonomic Analysis를 적용하여 (Multiplicative reasoning in fractional contexts: Employing domain analysis and taxonomic analysis)

  • 이형숙
    • 대한수학교육학회지:학교수학
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    • 제9권3호
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    • pp.427-445
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    • 2007
  • 이 논문은 7학년 학생의 곱셈추론과 관련된 분수추론을 연구한 사례연구이다. 이 논문은 또한 교수실험방법론에 의해 거둬진 질적 자료를 domain analysis와 taxonomic analysis라는 질적 분석법에 따라 분석함으로써 특정 질적 분석법들의 실제 적용사례를 자세히 보여준다. 자료 분석을 통해 세 가지 이슈가 부각되었다: 분수에 대한 시각 (조작으로써 대 결과물로써), 단위 문제, 대분수와 가분수의 관계이다. 그러한 이슈들은 첫째, 각 이슈들이 곱셈추론의 발달에 중요하며, 둘째 그 이슈들 사이의 관계가 분수추론을 통한 곱셈추론의 한 방법을 제시해 준다는 점에서 교육적인 의미를 갖는다.

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DOMAINS OF HYPERHOLOMORPHY AND HYPER STEIN DOMAINS ON CLIFFORD ANALYSIS

  • Park, Hee-Young;Shon, Kwang-Ho
    • 한국수학교육학회지시리즈B:순수및응용수학
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    • 제14권2호
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    • pp.91-98
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    • 2007
  • We give definitions of hyperholomorphic functions of quaternionic functions of two quaternionic variables. We investigate properties of hyperholomorphic functions on quaternion analysis, and obtain equivalence relations for domains of hyperholomorphy and hyper Stein domains in a domain of $C^2{\times}C^2$.

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Frequency Domain Analysis of Laser and Acoustic Pressure Parameters in Photoacoustic Wave Equation for Acoustic Pressure Sensor Designs

  • Tabaru, Timucin Emre;Hayber, Sekip Esat;Saracoglu, Omer Galip
    • Current Optics and Photonics
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    • 제2권3호
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    • pp.250-260
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    • 2018
  • A pressure wave created by the photoacoustic effect is affected by the medium and by laser parameters. The effect of these parameters on the generated pressure wave can be seen by solving the photoacoustic wave equation. These solutions which are examined in the time domain and the frequency domain should be considered by researchers in acoustic sensor design. In particular, frequency domain analysis contains significant information for designing the sensor. The most important part of this information is the determination of the operating frequency of the sensor. In this work, the laser parameters to excite the medium, and the acoustic signal parameters created by the medium are analyzed. For the first time, we have obtained solutions for situations which have no frequency domain solutions in the literature. The main focal point in this work is that the frequency domain solutions of the acoustic wave equation are performed and the effects of the frequency analysis of the related parameters are shown comparatively from the viewpoint of using them in acoustic sensor designs.

Multi-Domain Structural-Acoustic Coupling Analysis Using the Finite Element and Boundary Element Techniques

  • Ju, Hyeon-Don;Lee, Shi-Bok
    • Journal of Mechanical Science and Technology
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    • 제15권5호
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    • pp.555-561
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    • 2001
  • A new approach to analyze the multi-domain acoustic system divided and enclosed by flexible structures is presented in this paper. The boundary element formulation of the Helmholtz integral equation is used for the internal fields and the finite element formulation for the structures surrounding the fields. We developed a numerical analysis program for the structural-acoustic coupling problems of the multi-domain system, in which boundary conditions such as the continuity of normal particle velocity and sound pressure in the structural interfaces between Field 1 and Field 2 are not needed. The validity of the numerical analysis program is verified by comparing the numerical results with the experimental ones. Example problems are included to investigate the characteristics of the coupled multi-domain system.

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Póincare Sphere Analysis of the Pretilt Angle Effect on the Viewing Angle of a Single-Domain FFS Liquid-Crystal Mode

  • Lee, Dong-Jin;Oh, Seong-Woo;Shim, Gyu-Yeop;Choi, Jun-Chan;Lee, Joun-Ho;Kim, Byeong Koo;Kim, Hak-Rin
    • Journal of the Optical Society of Korea
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    • 제20권1호
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    • pp.156-164
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    • 2016
  • We demonstrated the pretilt angle effect on the viewing angle properties of a single-domain fringe-field switching (FFS) liquid crystal (LC) mode. By performing the Póincare sphere analysis, we investigated, in detail, the origin of the viewing angle asymmetry that exists in the single-domain FFS LC mode both in the field-on and field-off states. Using this analysis, we confirmed that the pretilt angle reduces the viewing angle symmetry in the single-domain FFS LC mode. Finally, we examined the effect of a zero pretilt angle on the viewing angle symmetry by evaluating real single-domain FFS LC cells.

무한요소를 이용한 반무한영역의 추계론적 유한요소해석 (Stochastic FE analysis of semi-infinite domain using infinite elements)

  • 최창근;노혁천
    • 한국전산구조공학회:학술대회논문집
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    • 한국전산구조공학회 1998년도 가을 학술발표회 논문집
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    • pp.11-18
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    • 1998
  • In this paper the stochastic analysis of semi-infinite domain is presented using the weighted integral method, which is expanded to include the infinite finite elements. The semi-infinite domain can be thought as to have more uncertainties than the ordinary finite domain in material constants, which shows the needs of and the importance of the stochastic finite element analysis. The Bettess's infinite element is adopted with the theoretical decomposition of the strain matrix to calculate the deviatoric stiffness of the semi-infinite domains. The calculated value of mean and the covariance of the displacement are revealed to be larger than those given by the finite domain assumptions giving the rational results which should be considered in the design of structures on semi-infinite domains.

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지반-구조물의 상호작용 해석을 위한 해석적 2차원 무한요소 (Development of Analytical Two Dimensional Infinite Elements for Soil-Structure Interaction Analysis)

  • 윤정방;김두기
    • 한국전산구조공학회:학술대회논문집
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    • 한국전산구조공학회 1997년도 봄 학술발표회 논문집
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    • pp.19-26
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    • 1997
  • In this paper, two dimensional analytical infinite elements which can include multiple wave components to model a underlying half-space are developed. Since these elements are expressed clearly and simply using Legendre polynomials of frequencies in frequency domain, these are very economical and efficient in computing the responses of strip foundations in frequency domain and are easily transformed for SSI analysis in time domain. To prove the behavior of the proposed two dimensional analytical infinite elements, vertical, horizontal, and rocking compliances of a rigid strip foundation in layered soils are analyzed and compared with those of Tzong ' Penzie $n^{(17)}$ and with those which calculated by numerical infinite elemen $t^{(1)}$ in frequency domain, and good agreements are noticed between them. As an application for a further study, a new scheme for SSI analysis in time domain are proposed and verified by comparing the displacement responses of the soil with a underlying rock due to a rectangular impulse loading with those of a soil modeled extended FE meshes.soil modeled extended FE meshes.

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무작위 진동에 노출된 항공기 탑재 장비의 주파수영역 피로수명 평가 (Fatigue Life Evaluation in Frequency Domain of aircraft Equipment Exposed to Random Vibration)

  • 정현수;김기승;김준수;이성우
    • 한국항공우주학회지
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    • 제45권8호
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    • pp.627-638
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    • 2017
  • 항공기에 탑재된 레이더 장비는 무작위진동 환경에 장기간 노출되어, 설계 시 피로수명 예측이 중요한 요소로 고려된다. 피로수명을 예측하는 방법 중 주파수영역 피로해석 방법이 지속적으로 제안되고 있다. 본 논문은 많이 사용되는 4가지의 주파수영역 피로해석 방법을 선정하여, 시편 피로시험 결과와 비교하였다. Strain gage를 이용한 시편 피로시험을 통해 시간영역 피로해석과 주파수영역 피로해석 방법을 비교한 결과, Dirlik과 Benasciutti-Tovo방법이 주파수영역 피로해석법 중 시간영역 피로해석법과 잘 일치하였다. 시편 피로시험 결과를 토대로 Dirlik과 Benasciutti-Tovo방법과 유한요소모델을 이용하여 항공기 탑재 장비의 피로해석을 수행하였으며, 요구수명이 만족함을 확인하였다.

ECG신호의 잡음 제거를 위한 디지탈 필터의 시간 영역 해석 (Time Domain Analysis of Digital Filters for Noise Cancelling in ECG Signals)

  • 남현도;안동준;이철희
    • 대한의용생체공학회:의공학회지
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    • 제14권2호
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    • pp.137-145
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    • 1993
  • Time domain analysis as well as frequency domain analysis of signal conditioning filters is very useful for practical applications. Time domain analysis of digital filters for noise cancelling in ECG signals is presented. Several band pass and band reject filters are designed for the analysis. Computer simulations are performed to compare the distortions of the Butterworth type filters and linear phase optimal FIR filters which are widely used for ECG signal processing. Band reject filters are applied to power line interference cancelling in ECG signals.

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주파수 영역 민감도 방법을 이용한 집중 질량 구조물의 응답 해석 (Analysis of Response of Lumped Mass System Using Sensitivity Method in Frequency Domain)

  • 백문열;기창두
    • 한국정밀공학회지
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    • 제14권10호
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    • pp.164-169
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    • 1997
  • The aim of this paper is to present some results of sensitivity analysis in frequency domain. The sensitivity fonctions in frequency domain is not depend on the external excitation but depend on the frequency of the system's resonance. The sensitivity functions are determined as function of partial derivatives of system transfer functions taken with respect to system design parameters. The logarithmic sensitivity function is the dimensionless sensitivity funciton available, making it useful to compare the influence of various parameters on system variables. Two degree of fredom system is used to illustrate the procedure for sensitivity analysis proposed in this paper.

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