• 제목/요약/키워드: 고유치 해석

검색결과 441건 처리시간 0.023초

정적해석에 의한 학교 체육관의 내진 성능 평가 (Seismic Performance Evaluation of a School Gymnasium Using Static Anlysis)

  • Morooka, Shigehiro;Tsuda, Seita;Ohsaki, Makoto
    • 한국공간구조학회논문집
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    • 제9권4호
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    • pp.49-59
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    • 2009
  • 학교체육관과 같은 소규모 공간구조물의 지진응답은 본래 지진동에 대한 동적응답을 시각이력해석에 의해 검증해야 하지만 통상은 정적해석에 의해 평가하고 있다. 본 연구에서는 학교 체육관의 내진성능평가를 가능하게 하는 정적해석의 진행수순을 나타내기로 한다. 지진하중은 2개의 성능 레벨 즉, 일본의 건축기준법에 정의되어 있는 레벨 1과 2에 대응하는 등가인 정적하중으로 근사한다. 또한, 재하 패턴으로서 고유모드형을 사용하는 것에 대한 중요성을 논의하고, 정적해석의 간단한 순서에 의해 최대연직방향가속도를 평가할수 있는 것을 나타낸다. 아울러, 레벨 2의 입력에 의한 정적해석은 동적해석으로 얻어진 응답치를 과소평가하지만, 일본의 중층구조에 사용되는 "극한내력계산법"에 근사한 등가선형차 기법에 의해 레벨 2의 입력에 대한 탄소성응답이 가능하다는 것을 나타내고자 한다.

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철도인접지역 건물에 대한 진동전달율의 영향성 평가 (Transmissibility Effect Evaluation of Buildings Near Railroad Areas)

  • 김지현;윤성원
    • 한국공간구조학회논문집
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    • 제11권1호
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    • pp.131-138
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    • 2011
  • 건물설계단계에서 신축예정건물의 열차진동영향평가를 위하여 국내의 4개의 열차진동 가속도응답 계측치와 진동전달율(Transmissibility)값을 이용한 이론치를 비교하여 TR값의 적용성을 제시하였다. 이 TR 방법을 통하여 철도인접지역 위치한 신축 예정지반을 선정하고 지반진동 계측을 실시하였다. 계측한 지반의 가진진동수와 수직가속도응답과 신축 예정건물의 바닥슬래브를 MIDAS로 해석한 고유진동수를 통해 진동전달률을 산정한 후 신축건물의 진통예측을 실시하였다. TR을 적용한 가속도응답 예측치를 열차진동 가속도응답 계측치와 비교한 결과 3.61%~37.1% 오차범위에서 있는 것을 확인하였다. 또한 KTX, 경의선, 시멘트 열차 주행 시 지반의 가진진동수는 7.19~10.61Hz 사이에 선명한 피크를 확인 할 수 있다.

4절점 준적합 쉘 요소를 이용한 점진기능재료(FGM) 판과 쉘의 구조적 안정 및 진동 연구 (A Study of Structural Stability and Dynamics for Functionally Graded Material Plates and Shells using a 4-node Quasi-conforming Shell Element)

  • 한성천;이창수;김기동;박원태
    • 한국방재학회 논문집
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    • 제7권5호
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    • pp.47-60
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    • 2007
  • 본 논문에서는 전단변형률과 회전관성을 고려한 준적합 쉘 요소를 이용한 점진기능재료 판과 쉘의 고유진동수와 좌굴하중을 연구하였다. S 형상 함수를 이용한 세라믹과 금속의체적요소의 변화에 따른 점진기능재료 판과 쉘의 고유치 문제를 연구하였다. 점진기능재료 쉘 요소의 면내 강성, 휨 강성 및 전단 강성의 수식은 등질 요소보다 복잡한 재료의 성질들로 결합되어 있다. 유한요소의 수치적 결과를 검정하기 위해 1차 전단변형 이론에 의한 직사각형 판의 Wavier해를 제시하였다. 적층복합 구조 및 S 형상 점진기능재료 구조의 수치해석해는 Navier의 해로 검증하였으며, S 형상 점진기능재료 구조물의 다양한 예제를 제시하였다. 해석결과는 Navier의 이론해와 아주 잘 일치함을 알 수 있었다.

고유진동수와 모드의 민감도를 계산하기 위한 대수적 방법 (Algebraic Method for Computation of Natural Frequency and Mode Shape Sensitivities)

  • 정길호;김동옥;이종원;이인원
    • 대한기계학회논문집A
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    • 제21권5호
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    • pp.707-718
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    • 1997
  • This paper presents an efficient numerical method for the computation of eigenpair derivatives for a real symmetric eigenvalue problem with distinct and multiple eigenvalues. The method has a very simple algorithm and gives an exact solution. Furthermore, it saves computer sotrage and CPU time. The algorithm preserves not only the symmetricity but also the band width of the matrices, allowing efficient computer storage and solution techniques. Results from the proposed method for calculating the eigenpair derivatives are compared with those from Rudisill and Chu's method and Nelson's method which is known efficient one in the case of distinct natural frequencies. As an example to demonstrate the efficiency of the proposed method in the case of distinct eigenvalues, a cantilever plate is considered. The design parameter of the cantilever plate is its thickness. For the eigenvalue problem with multiple natural frequencies, the adjacent eigenvectors are used in the algebraic equation as side conditions, lying adjacent to the multiplicity of multiple natural frequency distinct eigenvalues, which appear when design parameter varies. A cantilever beam is used to demonstrate the efficiency of the proposed method in the case of multiple natural frequencies. Results form the proposed method for calculating the eigenpair derivatives are compared with those from Dailey's method(an amendation of Ojalvo's work) which finds the exact eigenvector derivatives. The design parameter of the cantilever beam is its height. Data is presented showing the amount of CPU time used to compute the first ten eigenpair derivatives by each method. It is important to note that the numerical stability of the proposed method is proved.

자동차 동력전달용 일체 벨트구동계의 동특성 해석 (Dynamic Analysis of Automotive Belt Drive Systems)

  • 오석일;송재수;김성원
    • 한국자동차공학회논문집
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    • 제4권6호
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    • pp.109-120
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    • 1996
  • Serpentine belt drive system offers the advantages of light weigh, low cost, quientness, and efficiency. Since these belts are typically longer than conventional belts, a tensioner component is added to maintain acceptable belt tension levels and make no slippage between pulleys and belts. This paper addresses the modeling and analysis of the automotive belt drive systems and also addresses the predicton of slippage on rotational modes. Vibration characteristics are determined from the eigenvalue problem governing the free response. Under certain engine operating conditions, the dynamic tension fluctuations may be sufficient to cause the belt to slip on particular accessory pulleys, It is found that this slippage can be reduced by adding the tensioner component from the analysis of belt tension and belt compression.

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Modular 네트워크 모델 구성에 의한 전력계통 SSR 현상의 고유치해석 (Eigen-analysis of SSR in Power Systems with Modular Network Model Equations)

  • 남해곤;김용구;심관식
    • 대한전기학회논문지:전력기술부문A
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    • 제48권10호
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    • pp.1239-1246
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    • 1999
  • This paper presents a new algorithm to construct the modular network model for SSR analysis by simply applying KCL to each node and KVL to all branches connected to the node sequentially. This method has advantages that the model can be derived directly from the system data for transient stability study and turbine/generator shaft model, the resulted model in the form of augmented state matrix is very sparse, and thus efficient SSR study of a large scale system becomes possible. The proposed algorithm is verified with the IEEE First and Second Benchmark models.

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사다리꼴형 주름판의 엄밀강성 및 자유진동 해석 (Analysis on Exact Rigidity and Free Vibration of Trapezoidal Corrugated Plates)

  • 김영완;정강
    • 한국소음진동공학회논문집
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    • 제26권7호
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    • pp.787-794
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    • 2016
  • In this study, the exact rigidity and the free vibration of trapezoidal corrugated plate are analyzed by being based on the Kirchhoff's plate theory and the Ritz method. The previous rigidity of corrugated plate analyzed by considering just a geometric characteristic, a basic assumption and an equivalent idea can cause large errors in practical behaviors. Accordingly, the exact rigidity supplemented by correction factors of the theoretical rigidity is needed. Therefore an analysis on the exact rigidity and the free vibration using the rigidity for the plate is performed in this paper.

비비례감쇠 시스템의 고유치해석에 필요한 누락고유치 검사기법 (Checking Techniques for Missed Eigenvalues of Nonproportionally Damped System)

  • 정형조;조지성;김병완;이인원
    • 한국소음진동공학회:학술대회논문집
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    • 한국소음진동공학회 2004년도 춘계학술대회논문집
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    • pp.948-951
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    • 2004
  • This paper introduces the two recently developed checking techniques far missed eigenvalues of nonproportionally damped system. The first technique is based on the argument principle. On the other hand, the second one is based on Rombouts' algorithm and Gleyse's theorem, which has been known as the effective and well-proven method. In the paper, the main features of the two techniques are explained and their effectiveness is also investigated by considering a numerical example.

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아놀디체비셰프를 이용한 전력계통에서의 부분고유치해석 (The Partial Eigenanalysis Using The Arnoldi-Chebyshev Method in Large Power Systems)

  • 김동명;이병준;권세혁
    • 대한전기학회:학술대회논문집
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    • 대한전기학회 1997년도 하계학술대회 논문집 D
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    • pp.772-774
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    • 1997
  • Small-signal stability analysis of large power systems needs the calculation of eigenvalues. But we use the partial eigenanalysis to calculate rightmost eigenvalues, since system matrix is very large. This paper proposes the Arnoldi-Chebyshev method identifying rightmost eigenvalues. This method constructs an optimal ellipse containing unwanted eigenvalues and use the Chebyshev iteration to get approximate eigenvetors corresponding to wanted eigenvalues, and then applies the modified Arnoldi method to calculate wanted eigenvalues.

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부구조기법을 이용한 병렬 고유치해석 알고리즘 개발 (Development of Parallel Eigenvalue Solution Algorithm with Substructuring Techniques)

  • 김재홍;성창원;박효선
    • 한국전산구조공학회:학술대회논문집
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    • 한국전산구조공학회 1999년도 가을 학술발표회 논문집
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    • pp.411-420
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    • 1999
  • The computational model and a new eigenvalue solution algorithm for large-scale structures is presented in the form of parallel computation. The computational loads and data storages required during the solution process are drastically reduced by evenly distributing computational loads to each processor. As the parallel computational model, multiple personal computers are connected by 10Mbits per second Ethernet card. In this study substructuring techniques and static condensation method are adopted for modeling a large-scale structure. To reduce the size of an eigenvalue problem the interface degrees of freedom and one lateral degree of freedom are selected as the master degrees of freedom in each substructure. The performance of the proposed parallel algorithm is demonstrated by applying the algorithm to dynamic analysis of two-dimensional structures.

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