• 제목/요약/키워드: Eigenvalue Analysis

검색결과 796건 처리시간 0.023초

Prediction of bridge flutter under a crosswind flow

  • Vu, Tan-Van;Lee, Ho-Yeop;Choi, Byung-Ho;Lee, Hak-Eun
    • Wind and Structures
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    • 제17권3호
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    • pp.275-298
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    • 2013
  • This paper presents a number of approximated analytical formulations for the flutter analysis of long-span bridges using the so-called uncoupled flutter derivatives. The formulae have been developed from the simplified framework of a bimodal coupled flutter problem. As a result, the proposed method represents an extension of Selberg's empirical formula to generic bridge sections, which may be prone to one of the aeroelastic instability such as coupled-mode or single-mode (either dominated by torsion or heaving mode) flutter. Two approximated expressions for the flutter derivatives are required so that only the experimental flutter derivatives of ($H_1^*$, $A_2^*$) are measured to calculate the onset flutter. Based on asymptotic expansions of the flutter derivatives, a further simplified formula was derived to predict the critical wind speed of the cross section, which is prone to the coupled-mode flutter at large reduced wind speeds. The numerical results produced by the proposed formulas have been compared with results obtained by complex eigenvalue analysis and available approximated methods show that they seem to give satisfactory results for a wide range of study cases. Thus, these formulas can be used in the assessment of bridge flutter performance at the preliminary design stage.

A comparative study on the seismic provisions of different codes for RC buildings

  • Bilgin, Huseyin;Hadzima-Nyarko, Marijana;Isik, Ercan;Ozmen, Hayri Baytan;Harirchian, Ehsan
    • Structural Engineering and Mechanics
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    • 제83권2호
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    • pp.195-206
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    • 2022
  • Significant structural damages due to earthquakes reveal the importance of seismic design provisions. This paper presents a comparison between the seismic design provisions of Albania, Croatia, Iran, and Turkey for the design of mid-rise reinforced-concrete (RC) frames. Information on the historical development of the considered provisions are given. The code provisions are compared, illustrating the main differences in the minimum requirements for column and beam detailing and analysis for mid-rise RC frames. 4-story, 5-story, and 6-story buildings are designed according to each design code, and their performance is evaluated comparatively by using a displacement-based adaptive pushover procedure and eigenvalue analysis. It is observed that recent Turkish code has the highest and Albanian code has the lowest level of requirements in terms of member size and reinforcement detailing. The considered models indicate 15%, 20% and 50%, lower period values than the Croatia, Iran and Albania buildings, respectively. Additionally, building models per Croatia, Iran and Albania codes have 30%, 35% and 65% less base shear capacity when compared to Turkish building codes. Building models per Croatia and Iran codes indicate similar properties both in terms of strength and stiffness.

전력계통 안정화장치(PSS)의 성능향상을 위한 입력신호 영향 (The Effect of input signals for improving Power System Stabilizer(PSS) efficiency)

  • 허진;김동준;김태균;신정훈
    • 대한전기학회:학술대회논문집
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    • 대한전기학회 1999년도 추계학술대회 논문집 학회본부 A
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    • pp.144-146
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    • 1999
  • This paper provides an analysis of the effect of input signals, such as acceleration power and generator shaft speed for improving Power System Stabilizer(PSS) efficiency. We consider a single machine and infinite bus system which is modeled by PSCAD/EMTDC. We choose an optimum stabilizer gain with respect to eigenvalue analysis and transient stability analysis to each input signal.

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천연가스 생산기지 내 UPS시스템의 해석모델 개발 (Development of an Analysis Model for UPS System of LNG Receiving Terminal Facilities)

  • 국승규;홍성경;김준호;최원목;박영호
    • 한국전산구조공학회논문집
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    • 제29권6호
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    • pp.539-545
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    • 2016
  • 천연가스 생산기지 내의 UPS시스템은 지진 시에도 기능성을 유지해야 하는 주요 설비 중 하나이다. 이 연구에서는 IEEE Std 693-2005 기준을 토대로 대형 진동대를 이용한 UPS시스템의 동특성 탐색시험을 수행하고 기기의 고유진동수와 모드감쇠, 모드형상 등을 도출하였다. 또한, 3축 시간이력시험을 통해 지진 시 기기의 거동 및 부재의 발생응력을 확인하였다. 유한요소모델을 생성하여 고유치해석을 수행하고 이를 동특성 탐색시험의 시험값과 비교, 분석하여 해석모델을 개선하고 자중해석과 응답스펙트럼 해석을 수행하여 조합응력을 3축 시간이력시험의 시험값과 비교하였다. 개선된 유한요소 해석모델의 동특성과 조합응력이 시험 결과와 유사함을 입증하여 개선된 UPS시스템 해석모델의 적합성을 제시하였다.

2차 탄성해석을 이용한 강뼈대구조의 초기결함 좌굴설계 (Stability Design of Steel Frames considering Initial Imperfection based on Second-Order Elastic Analysis)

  • 경용수;이창환;김문영
    • 대한토목학회논문집
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    • 제28권4A호
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    • pp.465-474
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    • 2008
  • 일반적으로, 보-기둥 부재로 구성된 강뼈대구조물의 설계는 개별부재의 유효좌굴길이를 고려하여 설계기준에서 제시한 안정성 평가식을 적용하고 있다. 그러나 이 방법은 구조물에서 상대적으로 작은 압축력이 적용되는 부재에서는 유효좌굴길이가 커지는 문제가 발생하게 된다. 이러한 문제를 극복하고자 본 연구에서는 대상 구조물의 초기결함(initial imperfection)을 고려한 2차 탄성해석법을 제시한다. 이 방법은 탄성좌굴 고유치해석으로 산정된 좌굴모드 및 좌굴고유치, 개별부재의 축력을 이용하여, 가장 작은 무차원 세장비를 가진 부재를 선정하고, 그 부재에 대하여 기하적, 재료적인 효과가 고려된 설계기준의 기준강도곡선으로부터 좌굴모드에 대한 증폭량을 산정한다. 이렇게 결정된 증폭량을 대상 구조물의 좌굴모드에 증폭시켜 2차 탄성해석을 수행하고, 개별부재의 안정성을 평가한다. 본 방법의 타당성을 확인하기 위하여, 8층 및 4층으로 이루어진 평면 강뼈대구조물에 적용시키고, 설계기준에서 제시하는 안정성 평가법과 비교한다.

중층 전통 목조건축 마곡사 대웅보전의 수직하중에 대한 구조성능 평가 (Evaluation of Structural Performance of Multi-tiered Roof Korean Traditional Timber Building Daeungbojeon Hall of Magoksa Temple Under Vertical Load)

  • 김영민
    • 한국전산구조공학회논문집
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    • 제37권1호
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    • pp.17-24
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    • 2024
  • 본 논문은 조선시대의 대표적인 중층 목구조인 공주 마곡사 대웅보전에 대하여 수직하중에 대한 구조성능을 평가하였다. 구조해석 소프트웨어인 midas Gen으로 실물과 근접하게 해석모델을 3차원으로 구축하였다. 정적해석으로 수직하중에 대한 주요 수직 및 수평 부재의 안전성과 사용성을 평가하였다. 모든 부재가 안전성과 사용성 기준을 만족하였으나, 하층 대량은 전이보 역할로 구조적 취약점이 나타나 개선의 필요가 있다. 동적거동특성 평가를 위한 고유치해석시 주요 접합부의 상대회전강성은 5%로 가정하였다. 고유주기는 1.105초로 비슷한 규모의 한옥 범주에 속하고 있으며, 1차 모드는 건물 전후방향의 병진운동으로 나타났다.

기초구조물로서 얇은 쉘 구조물의 지진응답 (Seismic Response on Thin Shell as Structural Foundation)

  • 이휘민;아지자 압둘 나살;김재열
    • 한국공간구조학회논문집
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    • 제24권2호
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    • pp.31-41
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    • 2024
  • This study aims to investigate the seismic response of a large span thin shell structures and assess their displacement under seismic loads. The study employs finite element analysis to model a thin shell structure subjected to seismic excitation. The analysis includes eigenvalue analysis and time history analysis to evaluate the natural frequencies and displacement response of the structure under seismic loads. The findings show that the seismic response of the large span thin shell structure is highly dependent on the frequency content of the seismic excitation. The eigenvalue analysis reveals that the tenth mode of vibration of the structure corresponds to a large-span mode. The time history analysis further demonstrates, with 5% damping, that the displacement response of the structure at the critical node number 4920 increases with increasing seismic intensity, reaching a maximum displacement of 49.87mm at 3.615 seconds. Nevertheless, the maximum displacement is well below the allowable limit of the thin shell. The results of this study provide insight into the behaviour of complex large span thin shell structures as elevated foundations for buildings under seismic excitation, based on the displacement contours on different modes of eigenvalues. The findings suggest that the displacement response of the structure is significant for this new application of thin shell, and it is recommended to enhance the critical displacement area in the next design phase to align with the findings of this study to resist the seismic impact.

PCA에 의한 도서분류에 관한 연구(II) (A Study on the Classification of Islands by PCA(II))

  • 이강우;남수현
    • 수산경영론집
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    • 제15권1호
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    • pp.58-80
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    • 1984
  • The classification of islands is prerequisite for establishing a development policy to vitalize many-sided function of islands. We try to classify the 440 inhabited islands which exist in Jeon-Nam area and Kyong-Nam area by means of PCA. PCA begins with making correlation matrix of orignal variables. From this matrix we can comprehend the rough relationships between two variables. Next, we look for the eigenvalues which are roots of characteristic equation of correlation matrix. The number of eigenvalues is equal to that of original variables. We choose the largest eigenvalue λ$_1$among them and then look for the eigenvector of correlation matrix corresponding to the largest eigenvalue. Linear combination of eigenvector obtained above and original variables is namely first Principal Component (PC). Using an eigenvalue criterion(λ$\geq$ 1), we choose 3 PCs in Jeon-Nam area and 2 PCs in Kyong-Nam area. But we decide to consider only two PCs in both areas to faciliate a comparative analysis. Now, loss of information is 31.7% in Jeon-Nam area and 26.64% in Kyong-Nam area. PCs extracted by preceding procedure have characteristics as follows. The first PC relates to aggregate size of islands in case of both areas. The second PC relates to income per household, factors of agricultural production and factors of fisheries production in Jeon-Nam area, but in Kyong-Nam area it means distance from island and income per household. A classification of islands can be attained by plotting component scores of each island in graph used two PCs as axes and grouping similiar islands. 6 groups are formed in Jeon-Nam area and 5 groups in Kyong-Nam area. The result of this study in kyong-Nam area accords with prior result of study.

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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.

Free vibration analysis of a non-uniform beam with multiple point masses

  • Wu, Jong-Shyong;Hsieh, Mang
    • Structural Engineering and Mechanics
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    • 제9권5호
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    • pp.449-467
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    • 2000
  • The natural frequencies and the corresponding mode shapes of a non-uniform beam carrying multiple point masses are determined by using the analytical-and-numerical-combined method. To confirm the reliability of the last approach, all the presented results are compared with those obtained from the existing literature or the conventional finite element method and close agreement is achieved. For a "uniform" beam, the natural frequencies and mode shapes of the "clamped-hinged" beam are exactly equal to those of the "hinged-clamped" beam so that one eigenvalue equation is available for two boundary conditions, but this is not true for a "non-uniform" beam. To improve this drawback, a simple transformation function ${\varphi}({\xi})=(e+{\xi}{\alpha})^2$ is presented. Where ${\xi}=x/L$ is the ratio of the axial coordinate x to the beam length L, ${\alpha}$ is a taper constant for the non-uniform beam, e=1.0 for "positive" taper and e=1.0+$|{\alpha}|$ for "negative" taper (where $|{\alpha}|$ is the absolute value of ${\alpha}$). Based on the last function, the eigenvalue equation for a non-uniform beam with "positive" taper (with increasingly varying stiffness) is also available for that with "negative" taper (with decreasingly varying stiffness) so that half of the effort may be saved. For the purpose of comparison, the eigenvalue equations for a positively-tapered beam with five types of boundary conditions are derived. Besides, a general expression for the "normal" mode shapes of the non-uniform beam is also presented.