• Title/Summary/Keyword: 주기 경계조건

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Finite Element Vibration Analysis of Structures with Cyclic Symmetry using Discrete Fourier Transform (이산푸리에 변환을 이용한 순환대칭 구조물의 유한요소 진동 해석)

  • 김창부;김정락
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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    • 1995.10a
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    • pp.221-226
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    • 1995
  • 터빈 익렬, 펌프 익차, 원형 냉각탑, 치차 등과 같이 동일한 형상이 원주 방향으로 반복되어 있는 순환 대칭 구조물의 진동특성을 유한 요소법을 사용하여 해석하는 경우에 전체구조를 모델링하는 대신에 구조물을 동일한 형상의 부분구조로 분할하여 부분구조 한개만을 모델링하고 분할된 경계에서 적절한 경계조건을 부과하여 진동해석을 수행함으로서 컴퓨터 기억용량을 절감시키고 계산시간을 단축할 수 있는 방법이 널리 사용되고 있다. Orris and Petyt[1]는 부분구조의 양쪽 분할 경계면, 즉 연결 경계상에 있는 절점변위의 상관관계를 복소파동전파식을 이용해서 구하여 부분구조의 감소된 복소강성행렬 및 질량행렬을 만들고 실수부와 허수부를 분리하여 유한요소해석을 수행하는 방법을 제안하였다. 유한요소 프로그램 ANSYS[2]에서는 이와 같은 방법을 사용하고 있다. Thomas[3]는 순회 정규모드를 이용하였고, 참고문헌[4]에서는 순회행렬을 이용하였다. 또한 유한요소 프로그램 MSC/NASTRAN[5]에서는 푸리에 급수를 이용하고 유한요소 절점의 위치 및 변위를 원통 좌표계를 표현하여 순환대칭구조물의 유한요소해석을 수행할 수 있도록 되어있다. 본 논문에서는 순환 대칭구조물의 형상의 주기성과 순환성을 고려하여 이산퓨리에 변환을 이용함으로써 순환대칭구조물의 유한요소진동해석을 체계적으로 저용량의 컴퓨터에서 신속하고 정확하게 수행할 수 있는 방법을 제안하고자 한다.

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Moving boundary condition for simulation of inundation (범람 모의를 위한 이동경계조건)

  • Lin, Tae-hoon;Lee, Bong-Hee;Cho, Dae-Hee;Cho, Yong-Sik
    • Journal of Korea Water Resources Association
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    • v.36 no.6
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    • pp.937-947
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    • 2003
  • A shoreline, which has no the water depth, moves continuously as waves rise up and recede. Therefore, a special boundary treatment is required to track properly the movements of the shoreline in numerical modeling of the behavior of tsunamis or tides near a coastal zone. In this study, convective terms in nonlinear shallow-water equations are discretized explicitly by using a second-order upwind scheme to describe a moving shoreline more accurately. An oscillatory flow motion in a circular paraboloidal basin has been employed to validate the performance of the developed numerical model. Computed results of instantaneous free surface displacements are compared with those of analytical solutions and existing numerical solutions. The run-up heights in the vicinity of a circular island have also been calculated and obtained numerical results have been shown against available laboratory measurements. A good agreement has been observed.

Characteristics of Harbor Resonance in Donghae Harbor (Part 2. Numerical Calculation) (동해항(東海港)의 부진동(副振動) 특성(特性)(2. 수치계산(數値計算)))

  • Jeong, Weon Mu;Jung, Kyung Tae;Chae, Jang Won
    • KSCE Journal of Civil and Environmental Engineering Research
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    • v.13 no.3
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    • pp.185-192
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    • 1993
  • A numerical model has been used for the prediction of wave agitations in a harbor which are induced by the intrusion and transformation of incident waves. Based on linear wave theory a mild-slope equation has been used. A partial absorbing boundary condition has been used on solid boundary. Functional has been derived following Chen and Mei(l974)'s technique based on Hybrid Element Method which uses finite discretisation in the inner region and analytical solution of Helmholtz equation in the outer region. Final simultaneous equation has been solved using the Gaussian Elimination Method. Helmholtz natural period and second peak period of seiche in Donghae Harbor coincide very well with the results from numerical calculation. Computed amplification factors show good agreement, especially when the reflection coefficient on solid boundary is 0.99, with those of measurements.

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Acoustic Scattering from Circular Cylinder by Periodic Sources (주기적인 음원에 의한 원형 실린더의 음향 산란)

  • Lee, Duck-Joo;Kim, Yong-Seok
    • Transactions of the Korean Society for Noise and Vibration Engineering
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    • v.17 no.1 s.118
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    • pp.41-47
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    • 2007
  • Scattering fields of two dimensional acoustic waves by a circular cylinder are investigated. The present numerical approach for the acoustic scattering problem has difficulties of numerical robustness, long-time stability and suitability of far-field boundary treatments. The time-dependent periodic acoustic source is used to analyze Interference patterns between incident waves and waves reflected by the cylinder. Characteristic boundary algorithms coupled with 4th order Modified-Flux-Approach ENO(essentially non-oscillatory) schemes are employed in generalized coordinates to examine the effect of the wane frequency on the interference patterns. Non-reflecting boundary conditions, which is crustal for accurate computations of aeroacoustic problems, are used not to contaminate scattering fields by reflected waves at the outer boundary. Computed scattering fields show the circumferential acoustic modes generated by interacting between acoustic sources and scattered waves. At a lower frequency, the wave passes almost straight through the cylinder without Interacting with circular cylinder. Simulation results are presented and compared with the analytic solution. Computed RMS-pressure distribution on the cylinder wall is good agreement with exact solution.

Bankfiltration rate change by stream level and rainfall river bankfiltration site (강변여과 취수 지역에서의 하천수위 및 강우량 변화에 대한 하천유입수 비율 변화)

  • 원이정;김형수;구민호
    • Proceedings of the Korean Society of Soil and Groundwater Environment Conference
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    • 2004.04a
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    • pp.337-340
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    • 2004
  • 강변여과 취수방법을 이용한 광역상수도 시설이 고려되었던 경북 고령군 다산면 지역에 대해 하천수위 및 강우량 변화에 대한 하천유입수 비율 변화를 계산하였다. 1년을 주기로 변화하는 하천수위 및 강우량에 대해 동적순환 초기조건(dynamic cyclic initial conditions)을 고려하여, 10년간을 모사하여 마지막 1년에 대한 지하수위 및 하천유입수 비율변화를 살펴보았다. 하천수 유입비율은 함양 인자인 강우량에도 민감한 반응을 보이며, 또한 경계조건이되는 하천수위 변동에도 크게 변화한다. 그러나, 함양이 증가하면 취수정으로의 지하수 유입비율이 커지나 이와함께 하천수위도 증가하므로 이는 곧 하천유입수 비율의 증가를 유도하는 상반된 결과를 가져온다. 강우량이 많은 경우 일정한 지연시간 이후 하천수위가 최대가 되며, 이로 인한 하천유입수 비율이 수일사이에 크게는 30% 이상의 변화를 보인다. 강변여과 취수지역에서 최적의 수질 및 수량 운영을 위해 실제 강우량과 하천수위변화를 이용한 유입수비율변화 예측이 바람직하다.

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UNSTEADY AERODYNAMIC ANALYSIS OF HELICOPTER ROTOR BLADES USING DIAGONAL IMPLICIT HARMONIC BALANCE METHOD (대각 내재적 조화균형법을 이용한 헬리콥터 로터 블레이드의 비정상 공력 해석)

  • Im, D.K.;Choi, S.I.;Park, S.H.;Kwon, J.H.
    • Journal of computational fluids engineering
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    • v.16 no.4
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    • pp.21-27
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    • 2011
  • In this paper, the diagonal implicit harmonic balance method is applied to analyze helicopter rotor blade flow. The periodic boundary condition for Fourier coefficients is also applied in hover and forward flight conditions. It is available enough to simulate the forward flight problem with only one rotor blade using the periodic boundary condition in the frequency domain. In order to demonstrate the present method, Caradonna & Tung's rotor blades were used and the results were compared to the time-accurate method and experimental data.

Unsteady Aerodynamic Analysis of Helicopter Rotor Blades Using Diagonal Implicit Harmonic Balance Method (대각 내재적 조화균형법을 이용한 헬리콥터 로터 블레이드의 비정상 공력 해석)

  • Im, D.K.;Choi, S.I.;Park, S.H.;Kwon, J.H.
    • 한국전산유체공학회:학술대회논문집
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    • 2011.05a
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    • pp.543-549
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    • 2011
  • In this paper, diagonal implicit harmonic balance method is applied to analyze helicopter rotor blade flow. Periodic boundary condition for Fourier coefficients is also applied in hover and forward flight condition. It is available enough to simulate the forward flight problem with only one rotor blade using the periodic boundary condition in frequency domain. In order to demonstrate present method Carodonna & Tung's rotor blades are used and the results are compared to time-accurate method and experimental data.

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Transonic Aeroelastic Analysis of a Airfoil with Friction Damping (마찰 감쇠를 고려한 에어포일의 천음속 공탄석 해석)

  • Yoo, Jae-Han;Lee, In
    • Journal of the Korean Society for Aeronautical & Space Sciences
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    • v.38 no.11
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    • pp.1075-1080
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    • 2010
  • For the aeroelastic analysis of a wing with friction damping, coupled time integration method was used to obtain time responses in the subsonic and transonic regions. To take into account aerodynamic nonlinearity induced by shock wave on the lifting surface, transonic small disturbance equation with in-phase periodic boundary condition was used for unsteady aerodynamic calculation. For 2-DOF airfoil system with displace-dependent friction dampers, the effects of normal load slope and Mach number on flutter boundary were investigated.

A Study on the Dynamic Stability of the Long Vertical Beam Subjected to the Parametric Excitation (파라메터 기진에 의한 긴수직보의 동적안정성에 관한 연구)

  • Y.C. Kim;J.S. Hong
    • Journal of the Society of Naval Architects of Korea
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    • v.28 no.1
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    • pp.69-82
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    • 1991
  • The dynamic stability of the long vertical beam subjected to the periodic axial load is investigated. As a solution method, the Galerkin's method is used to obtain a set of coupled Mathieu type equations. To obtain the stability chart, both the perturbation method and numerical method are used, and the results of the both methods are compared with each other. The stability regions for the various boundary conditions are obtained, Also the effects of the viscous damping, the mean tension and the multi-frequency parametric excitation are studied in detail.

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Analysis of the Electromagnetic Scattering by a Tapered Resistive Strip Grating with Zero Resistivity at the Strip-Edges On a Grounded Dielectric Plane (접지된 유전체층 위에 저항띠 양끝에서 0으로 변하는 저항율을 갖는 저항띠 격자구조에서의 전자파 산란 해석)

  • 정오현;윤의중;양승인
    • The Journal of Korean Institute of Communications and Information Sciences
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    • v.28 no.11A
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    • pp.883-890
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    • 2003
  • In this paper, Electromagnetic scattering problems by a resistive strip grating with tapered resistivity on a grounded dielectric plane according as strip width and spacing, relative permittivity and thickness of dielectric layers, and incident angles of a electric wave are analyzed by applying the FGMM(Fourier-Galerkin Moment Method) Known as a numerical procedure. The scattered electromagnetic fields are expanded in a series of floguet mode functions. The boundary conditions are applied to obtain the unknown field coefficients and the resistive boundary condition is used for the relationship between the tangential electric field and the electric current density on the strip. The tapered resistivity of resistive strips varies zero resistivity at strip edges. Then the induced surface current density on the resistive strip is expanded in a series of Chebyshev polynomials of the second kind. The numerical results of the geometrically in this paper are compared with those for the existing uniform resistivity and perfectly conducting strip. The numerical results of the normalized reflected power for conductive strips case with zero resistivity in this paper show in good agreement with those of existing paper.