• 제목/요약/키워드: Mode Superposition Method

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상대 가속도를 이용한 기초 가진을 받는 다자유도 기계 시스템의 동적 해석 (Dynamic Analysis for Mechanical Systems with Multi-Degree of Freedom under Base Excitation Using Relative Acceleration)

  • 이태원
    • 한국기계가공학회지
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    • 제19권3호
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    • pp.36-41
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    • 2020
  • Mechanical systems installed in transport devices, such as vehicles, airplanes, and ships, are mostly subject to translational accelerations at the joints during operations. This base acceleration excitation has a large influence on the performance of the system, therefore, its response must be well analyzed. However, the existing methods for dynamic analysis of structures have some limitations in use. This study presents a new numerical method using relative acceleration to solve these limitations. If the governing equation of motion is linear and the mass matrix, the damping matrix, and the stiffness matrix are constant over time in the finite element analysis, the proposed method can be applied to the transient behavior analysis and the harmonic response analysis of the structure. Because it is not necessary to introduce a virtual mass and the rigid body motions are removed from the analysis, it is possible to use not only the direct integration method in the time domain but also the mode superposition method to obtain the dynamic responses. This paper demonstrates with three examples how the present method is suitable for the dynamic analysis of a structure with multi-degree of freedom.

공기챔버 위치에 따른 폰툰형 초대형 구조물 유탄성응답 해석 (Hydroelastic Analysis of Pontoon Type VLFS Considering the Location and Shape of OWC Chamber)

  • 홍사영;경조현;김병완
    • 한국해양공학회지
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    • 제22권1호
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    • pp.22-29
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    • 2008
  • A numerical investigation is made on the effects of the location and shape of the front wall of an OWC(Oscillating Water Column) chamber on the hydroelastic response of a VLFS. Most of the studies on the effects of an OWC chamber on the response of a VLFS have assumed the location of the OWC chamber to be at the front of the VLFS. In the present study, an OWC-chamber is introduced at an arbitrary position in relation to a VLFS to determine the influence of the location and shape of the OWC chamber on the hydroelastic response of the VLFS. A finite element method is adopted as a numerical scheme for the fluid domain. or the finite element method, combined with a mode superposition method, is applied in order to consider the change of mass and stiffness The OWC chamber in a piecewise constant manner. or the facilitated anefficient analysis of The hydroelastic response of the VLFS, as well as the easy modeling of different shape and material properties for the structure. Reduction of hydroelastic response of the VLFS is investigated for various locations and front wall shapes of the owe chamber.

자이로스코픽 효과와 유체 동압 베어링에 의한 비대칭성을 고려한 회전 유연 디스크-스핀들 시스템의 유한요소 강제 진동 해석 (Finite Element Forced Response of a Spinning Flexible HDD Disk-spindle System Considering the Asymmetry Originating from Gyroscopic Effect and Fluid Dynamic Bearings)

  • 박기용;장건희;서찬희
    • 한국소음진동공학회논문집
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    • 제20권10호
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    • pp.915-922
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    • 2010
  • This paper presents an efficient method for determining the forced response of a spinning flexible disk-spindle system supported by fluid dynamic bearings(FDBs) in a computer hard disk drive(HDD). The spinning flexible disk-spindle system is represented by the asymmetric finite element equations of motion originating from the asymmetric dynamic coefficients of the FDBs and the gyroscopic moment of a spinning disk-spindle system. The proposed method utilizes only the right eigenvectors of the eigenvalue problem to transform the large asymmetric finite element equations of motion into a small number of coupled equations, guaranteeing the accuracy of their numerical integration. The results are then back-substituted into the equations of motion to determine the forced response. The effectiveness of the proposed method was verified by comparing it with the responses from the classical methods of mode superposition with the general eigenvalue problems, and mode superposition with modal approximation. The proposed method was shown to be effective in determining the forced response represented by the asymmetric finite element equations of motion of a spinning flexible disk-spindle system supported by FDBs.

지반-구조물 연계모델의 등가감쇠값에 관한 연구 (A Study on Equivalent Modal Damping Values of Soil-Structure Coupling Models)

  • 박형기
    • 대한토목학회논문집
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    • 제7권3호
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    • pp.241-248
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    • 1987
  • 지반-구조물 상호작용 효과가 큰 경우의 동적문제를 모드중첩법으로 해결하기 위하여 여러 가지 등가모드감쇠값 결정 방법에 대한 이론적 배경을 검토하였다. 또한 component mode synthesis method에 의하여 감쇠행렬을 구하고 이를 이용한 직접적분법으로 지반-구조물의 연계모델의 응답을 계산하여 각 등가모드감쇠값 결정 방법으로 구한 등가모드감쇠값을 사용한 모드 중첩법의 해석 결과와 비교 분석하였다. 해석모델로는 2종류의 상부구조와 4종류의 지반조건을 고려하고 이를 조합한 경우를 채택하였다. 본 연구 결과로 소멸에너지법으로 얻은 등가모드감쇠값이 직접적 분법의 결과에 가장 근사적인 결과를 주는 것을 알 수 있었다. 고정지반모델인 경우에는 강도가중법을 제외한 다른 방법으로 구한 등가모드감쇠값은 직접적분법의 결과와 거의 일치되는 응답을 주었다.

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Mindlin 판 이론을 적용한 단순지지 단면 접수평판의 음향방사효율 수치해석 (A Numerical Analysis on Acoustic Radiation Efficiency of One Side-Wetted Rectangular Mindlin Plate with Simply Supported Boundaries)

  • 이종호;조대승
    • 대한조선학회논문집
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    • 제55권4호
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    • pp.281-288
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    • 2018
  • Acoustic radiation efficiency is a crucial factor to estimate Underwater Radiated Noise (URN) of ships accurately. This paper describes a numerical method to analyse acoustic radiation efficiency of one side-wetted rectangular Mindlin plate with simply supported boundaries excited by a harmonic point force. Transverse displacements of plate and acoustic radiation pressures are evaluated by the mode superposition method. The acoustic radiation efficiencies analyzed by both Mindlin and thin plate theories show little differences at monopole and corner modes of low frequency regions but relatively large differences at edge and critical modes of high frequency regions. Especially, the critical frequency with the highest acoustic radiation efficiency evaluated by the Mindlin plate theory is higher than that of thin plate theory. In addition, the acoustic loading effect of fluid also increases bending wave-number of plate and its critical frequency. Finally, the acoustic radiation characteristics of plates with different aspect ratios and thicknesses through numerical analyses are investigated and discussed.

Extension of a semi-analytical approach to determine natural frequencies and mode shapes of a multi-span orthotropic bridge deck

  • Rezaiguia, A.;Fisli, Y.;Ellagoune, S.;Laefer, D.F.;Ouelaa, N.
    • Structural Engineering and Mechanics
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    • 제43권1호
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    • pp.71-87
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    • 2012
  • This paper extends a single equation, semi-analytical approach for three-span bridges to multi-span ones for the rapid and precise determination of natural frequencies and natural mode shapes of an orthotropic, multi-span plate. This method can be used to study the dynamic interaction between bridges and vehicles. It is based on the modal superposition method taking into account intermodal coupling to determine natural frequencies and mode shapes of a bridge deck. In this paper, a four- and a five-span orthotropic roadway bridge deck are compared in the first 10 modes with a finite element method analysis using ANSYS software. This simplified implementation matches numerical modeling within 2% in all cases. This paper verifies that applicability of a single formula approach as a simpler alternative to finite element modeling.

주파수 영역에서의 Ritz 모드 중첩법 (Ritz Mode Superposition Method in Frequency Domain)

  • 주관정
    • 한국전산구조공학회:학술대회논문집
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    • 한국전산구조공학회 1989년도 봄 학술발표회 논문집
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    • pp.33-37
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    • 1989
  • According to the Rayleigh-Ritz approximation method, a solution can be represented as a finite series consisting of space-dependent functions, which satisfy all the geometric boundary conditions of the problem and appropriate smoothness requirement in the interior of the domain. In this paper, an efficient formulation for solving structural dynamics systems in frequency domain is presented. A general procedure called Ritz modes (or vectors) generation algorithm is used to generate the admissible functions, i.e. Ritz modes, Then, the use of direct superposition of the Ritz modes is utilized to reduce the size of the problem in spatial dimension via geometric coordinates projection. For the reduced system, the frequency domain approach is applied. Finally, a numerical example is presented to illustrate the effectiveness of the proposed method.

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일반 순서 통계량을 이용한 소프트웨어 신뢰확률 중첩모형에 관한 베이지안 접근에 관한 연구 (A Study on Bayesian Approach of Software Stochastic Reliability Superposition Model using General Order Statistics)

  • 이병수;김희철;백수기;정관희;윤주용
    • 한국정보처리학회논문지
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    • 제6권8호
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    • pp.2060-2071
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    • 1999
  • 소프트웨어 시스템이 복잡해지면 고장의 원인이 하나의 강도함수에 의해서만 일어나지 않고 여러 원인이 중첩되어 발생할 수 있다. 이러한 복잡한 시스템에 의한 우도함수의 계산상의 어려움 때문에 반복표본을 이용하는 깁스 샘플링 기법이 고려되었다. 관찰된 고장시점은 중첩모형으로 표현이 가능한 잠재(latent)변수들을 이용하여 깁스 알고리즘을 적용하였다. 단순모형과 중첩모형의 비교를 위해 사후베이즈 요인과 상대오차의 합을 이용하여 모형선택을 시도하였다. 수치적인 예에서 GOS 속성을 가진 Goel-Okumoto 모형과 Weibull 모형을 선택하고 NHPP의 자료는 Lewis와 Shedler[25]에 의해 제시된 Thining 알고리즘을 이용하여 발생된 자료를 이용하고 사전분포는 상대적으로 확산분포(diffuse priors)를 이용한 모수추정과 사후베이즈요인과 상대오차를 이용한 모형선택을 한 결과 단순모형들 보다 중첩모형이 좋은 형으로 간주할 수 있음을 보여 주었다.

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아크 유도 장주기 광섬유 격자의 공진 파장 특성 (Resonant Wavelength Characteristics of Arc-Induced Long-Period Fiber Gratings)

  • 정철;이호준
    • 대한전자공학회논문지SD
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    • 제39권10호
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    • pp.48-56
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    • 2002
  • 일반 광섬유에 아크 방전을 인가하여 코어 및 클래딩의 직경 변화를 발생시켜 장주기 격자를 제작하는 방법이 소개되었다. 본 연구에서는 매우 약한 아크를 반복적으로 발생시켜 광섬유에 매우 약한 변형을 수 차례 주어 광섬유 격자 직경을 정밀하게 조절 할 수있는 방법을 사용한 중첩 장주기 광섬유 격자 제조 방법을 제안하였다. 또한 위상정합 조건을 이용하여 장주기 광섬유 격자의 직경 변화에 따른 공진 파장의 변화를 이론적으로 유도하였으며, 실험을 통해 확인하였다. 또한 실험 결과 아크 유도 광섬유 격자의 주기와 공진 파장과의 관계가 위상 정합 조건과 일치하는 것을 확인하였으며, 온도 변화에 따른 공진 파장의 변화를 측정하고 기계적 강도를 측정하였다.

면진장치를 가지는 구조물의 등가점성감쇠비 산정 (Estimation of Equivalent Viscous Damping of Structure with Base Isolation Devices)

  • 김태호;이동근
    • 한국지진공학회:학술대회논문집
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    • 한국지진공학회 2002년도 춘계 학술발표회 논문집
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    • pp.359-366
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    • 2002
  • Direct Integration method(D.I) and Mode Superposition method(M.S) are used widely in dynamic analysis method for structure with isolation devices. D.I is used firstly because it is consider to nonlinearity of isolation device. M.S is applied in elastic region, but it is difficult to apply M.S because coincidence with othogonality condition in the case of adding the damping of isolation device. In this study, the method for calculation of damping ratio of isolated structure is proposed, and proposed method is verified with analysis for example structure.

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