• Title/Summary/Keyword: 조화함수

Search Result 131, Processing Time 0.045 seconds

Mode Analysis of Silica Waveguides with Semi Circular Cross Section by using the Method of Harmonic Expansion in Finite Area (유한영역에서 조화함수 전개법을 이용한 반달꼴 단면 이산화규소 광도파로의 모우드 분석)

  • 김진승
    • Korean Journal of Optics and Photonics
    • /
    • v.4 no.1
    • /
    • pp.90-100
    • /
    • 1993
  • A computer routine for personal computer(PC/AT class) is developed to analysize the mode characteristics of silica based optical waveguides whose cross sections are of semi circular and other typical shapes. The basic algorithm used in the routine is to convert the wave equation into a matrix equation by expanding the wave function in terms of simple harmonic functions. The matrix elements are a set of overlap integrals of sinusoidal funtions with appropriate weight given by the distribution of refractive index over the waveguide cross section. The eigenvectors and eigenvalues of the matrix is then computed via diagonalization. We explain some practical problems that arises when implementing the algorithm into the routine. By using this routine we analyze the mode characteristics of silica based optical waveguides of semi circular and some other typical cross sections.

  • PDF

A Study on Mathematical Modeling of Forcing Function for the Piping Vibration of Petrochemical Plant Design (플랜트 설계 시 배관진동을 유발하는 가진 함수의 수학적 모델링)

  • 민선규;최명진
    • Proceedings of the Korean Society of Precision Engineering Conference
    • /
    • 1997.10a
    • /
    • pp.591-595
    • /
    • 1997
  • In analysis of piping vibration of petrochemical plant, the forcing functions mainly depend upon the equipment working mechanism and vibration resources in the piping systems. In general, harmonic function is used for the system with rotary equipments. Mechanical driving frequencies, wave functions, and response spectrum are used for reciprocating compressors, surge vibration of long transfer piping, and seismic/wind vibration, respectively. In this study, for the spray injection case inside the pipe, forcing function was modeled, in which two different fluids are distributed uniformly. To confirm the results, the scheme used for the forcing function was applied for real piping system. The vibration mode of the real system was consistent with the 4th mode obtained by simulation using the forcing function formulated in this study.

  • PDF

A Simulation of Forcing Function for the Piping Vibration in Petrochemical Plants (석유화학 플랜트에서 배관 가진 함수의 시뮬레이션에 관한 연구)

  • 민선규;최명진;김경훈
    • Journal of the Korea Society for Simulation
    • /
    • v.10 no.4
    • /
    • pp.1-10
    • /
    • 2001
  • For the simulation of piping vibrations in petrochemical plants, forcing functions mainly depend upon the equipment working mechanism and vibration resources in the piping systems. In general, harmonic function is used to simulate rotary equipment. Mechanical driving frequencies, wave functions, and response spectrum are used to simulate reciprocating compressors, surge vibration of long transfer piping, and seismic/wind vibration, respectively. In this study, the general suggestions for forcing functions were reviewed and proposed the forcing function to simulate the spray injection system inside the pipe in which two different fluids are distributed uniformly. To confirm the results, the scheme was applied for a real piping system. The vibration mode of the real system was consistent with the 4th mode (26.725 Hz) obtained by simulation using the forcing function presented in this study.

  • PDF

Stiffness Prediction of Spatially Reinforced Composites (공간적으로 보강된 복합재료의 강성예측)

  • 유재석;장영순;이상의;김천곤
    • Composites Research
    • /
    • v.17 no.5
    • /
    • pp.25-38
    • /
    • 2004
  • In this study, the stiffness of spatially reinforced composites (SRC) are predicted by using superposition of a rod and matrix stiffnesses in an arbitrary direction. To confirm the predicted values, the material properties of SRC are measured. The predicted values from the volume average of stiffness matrix are consistent with the tested values in a rod direction, but are inconsistent in an off-rod direction while reverse is true fur the volume average of compliance matrix. Therefore, the harmony function from superposition of stiffness and compliance matrix is introduced. The predicted values from the harmony function are consistent with the tested values in both the rod and the off-rod directions.

Analysis of the Optimal Degree and Order of Spherical Harmonics for the GNSS Receiver Antenna's PCV Correction (GNSS 수신기 안테나의 PCV 보정 모델 산출을 위한 구면조화함수 최적차수 분석)

  • Kim, Jin Yi;Won, Ji Hye;Park, Kwan Dong;Seo, Seung Woo;Park, Heung Won
    • Journal of Korean Society for Geospatial Information Science
    • /
    • v.22 no.3
    • /
    • pp.113-119
    • /
    • 2014
  • The positioning accuracy of GNSS surveys deteriorates due to various error factor, and many users sometimes ignore Phase Center Variation (PCV) of antennas. IGS provides an ANTEX file which contains PCV correction information to correct for PCVs. But it is not directly applicable because PCV correction information is provided at 5-degree intervals in the azimuth and elevation directions for the case of receiver antennas, and at 1-degree intervals in the nadir angle for the case of satellite antennas. So, we devised new and optimal ways of interpolating PCV in any desired line of sight to the GNSS satellite. We used spherical harmonics fitting methods in terms of the azimuth and elevation angle for interpolation, and found an optimal degree and order. It is shown that the best accuracy was obtained from the 8 by 8 spherical harmonics. If one requires lower burden on computing resources, the order and degree less than 8 could produce resonable accuracy except for 1st and 5th order.

3D Model Retrieval Based on Ray Casting Technique (레이 캐스팅 기법을 기반으로 한 3차원 모델 검색)

  • Lee, Sun-Im;Hwang, Hye-Jung;Moon, Young-Shik
    • Proceedings of the Korean Information Science Society Conference
    • /
    • 2005.07b
    • /
    • pp.844-846
    • /
    • 2005
  • 본 논문에서는 3차원 모델을 검색하기 위한 형태 기반 기술자를 추출하는 알고리즘을 제안한다. 제안하는 알고리즘은 모델의 기하학적인 특성을 고려하여 레이 캐스팅 샘플링과 구면조화함수를 이용하는 방법이다. 레이 캐스팅 기법은 모델의 외형을 고려한 적응적인 방법으로 샘플링 하여 기술자에 포함되는 형태 정보를 증가시켜 기술자의 식별성을 높인다. 또한 구면조화함수 계수 추출에서는 기하학적인 주파수 특성을 고려하여 적응적인 계수를 추출한다. 이 방법은 검색 성능에 영향을 미치지 않고 기술자를 조밀하고 간결하게 만든다. 최종적으로 두 방법을 결합함으로써 검색 엔진에서 이용 가능한 기술자를 생성한다. 실험 결과에서는 제안된 알고리즘의 성능이 기존 방법에 비해 약 $12.5\%$ 향상 된 것을 확인 할 수 있다.

  • PDF

Torsional Elastic Waves Propagating in a Periodically-Nonuniform Circular Rod (주기적으로 불균일한 원형막대에서 전파하는 비틂 탄성파)

  • 김진오
    • The Journal of the Acoustical Society of Korea
    • /
    • v.17 no.5
    • /
    • pp.79-84
    • /
    • 1998
  • 본 논문은 길이방향으로 조화함수 형태로 변화하는 단면적을 가진 원형단면의 탄성 막대에서 전파하는 비틂 탄성파의 전파속도에 대한 이론적 및 실험적 결과를 제시한다. 주 기적인 미소한 반경 변화를 섭동법에 의해 다루어 전파속도의 이론적 근사해를 구하였다. 그결과 전파속도는 반경 변화 폭의 제곱에 비례하는 양 만큼 감소하는 경향이 나타났다. 이 론적 경향을 검증하기 위한 실험은 자왜현상으로 비틂파를 전파시키고 나사면을 가진 탄성 도파관에서 전파속도를 측정하는 방법으로 행하였다.

  • PDF

쇄파발생에 대한 실험적 연구

  • 이동연;주성문;최항순
    • Proceedings of the Korean Society of Coastal and Ocean Engineers Conference
    • /
    • 1995.10a
    • /
    • pp.85-90
    • /
    • 1995
  • 수조에서 조파기로 규칙파와 불규픽파를 발생하는 실험은 오래전부터 수행되었고, 최근에는 이를 수치계산으로 검증하려는 노력이 이루어지고 있다. 본 논문에서는 2차원 수조에서 조파판의 작동을 적절히 조절하여 임의의 지점에 plunger 형 쇄파를 발생시키고, 수치계산으로 이를 확인한 내용을 담았다. 쇄파를 만드는 연구는 Chan(1988)이 조화함수를 합성시키는 기법으로 실험을 수행한 바가 있고, Dommermuth 등(1988)이 이를 수치적으로 검증하였다. (중략)

  • PDF

Flexural Vibration of a Rectangular Plate with Orthotropically and Harmonically Varying Material Properties (재질분포가 직교이방 조화함수로 변하는 사각 평판의 굽힘 진동 해석)

  • 김진오;문병환
    • Journal of KSNVE
    • /
    • v.11 no.2
    • /
    • pp.323-328
    • /
    • 2001
  • The paper describes a theoretical study on the flexural vibration of an elastic rectangular plate with periodically nonuniform material properties. The approximate solution of the natural frequency and mode shape has been obtained using the perturbation technique for sinusoidal modulation of the flexural rigidity and mass density. It has been shown that distributed modes exist in the plate which Is a two-dimensional model of the flat panel speaker.

  • PDF