• 제목/요약/키워드: Matrix analysis

검색결과 5,858건 처리시간 0.035초

Vibration analysis of asymmetric shear wall and thin walled open section structures using transfer matrix method

  • Bozdogan, Kanat Burak;Ozturk, Duygu
    • Structural Engineering and Mechanics
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    • 제33권1호
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    • pp.95-107
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    • 2009
  • A method for vibration analysis of asymmetric shear wall and Thin walled open section structures is presented in this paper. The whole structure is idealized as an equivalent bending-warping torsion beam in this method. The governing differential equations of equivalent bending-warping torsion beam are formulated using continuum approach and posed in the form of simple storey transfer matrix. By using the storey transfer matrices and point transfer matrices which consider the inertial forces, system transfer matrix is obtained. Natural frequencies can be calculated by applying the boundary conditions. The structural properties of building may change in the proposed method. A numerical example has been solved at the end of study by a program written in MATLAB to verify the presented method. The results of this example display the agreement between the proposed method and the other valid method given in literature.

유연한 구조물의 공간전파에 관한 해석적 해법 (Analytic Solution to the Spatial Propagation of the Flexible Structures)

  • 석진영;정은태;김유단
    • 대한기계학회논문집A
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    • 제25권12호
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    • pp.2040-2047
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    • 2001
  • In this paper, a singularity problem of the state transition matrix is investigated in the spatial propagation when the spatial matrix differential equation is constructed via time finite element analysis. A parametric study shows that the degree of singularity of the state transition matrix depends on the degree of flexibility of the structures. As an alternative to avoid the numerical problems due to the singularity, an analytic solution fur spatial propagation of the flexible structures is proposed. In the proposed method, the spatial properties of the structure are analytically expressed by a combination of transcendental functions. The analytic solution serves fast and accurate results by eliminating the possibility of the error accumulation caused by the boundary condition. Several numerical examples are shown to validate the effectiveness of the proposed methods.

Dynamic Incidence Matrix Representation of Timed Petri Nets and Its Applications for Performance Analysis

  • Shon, J.G.;Hwang, C.S.;Baik, D.K.
    • 한국경영과학회지
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    • 제16권2호
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    • pp.128-147
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    • 1991
  • We propose a dynamic incidence matrix (DIM) for reflecting states and time conditions of a timed Petri net (TPN) explicitly. Since a DIM consists of a conventional incidence matrix, two time-related vectors and two state-related vectors, we can get the advantages inherent in the conventional incidence matrix of describing a static structure of a system as well as another advantage of expressing time dependent state transitions. We introduce an algorithm providing the DIM with a state transition mechanism. Because the algorithm is, in fact, an algorithmic model for discrete event simulation of TPN models, we provide a theoretical basis of model transformation of a TPN model into a DEVS(Discrete Event system Specification) model. By executing the algorithm we can carry out performance analysis of computer communication protocols which are represented TPN models.

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Dynamic response analysis for structures with interval parameters

  • Chen, Su Huan;Lian, Hua Dong;Yang, Xiao Wei
    • Structural Engineering and Mechanics
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    • 제13권3호
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    • pp.299-312
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    • 2002
  • In this paper, a new method to solve the dynamic response problem for structures with interval parameters is presented. It is difficult to obtain all possible solutions with sharp bounds even an optimum scheme is adopted when there are many interval structural parameters. With the interval algorithm, the expressions of the interval stiffness matrix, damping matrix and mass matrices are developed. Based on the matrix perturbation theory and interval extension of function, the upper and lower bounds of dynamic response are obtained, while the sharp bounds are guaranteed by the interval operations. A numerical example, dynamic response analysis of a box cantilever beam, is given to illustrate the validity of the present method.

블록펄스 함수의 새로운 적분연산 행렬을 이용한 선형 시변계의 해석 (Analysis of Time-Varying Linear System Using the New Integral Operational Matrix via Block Pulse Functions)

  • 조영호;신승권;박정호;이한석;김재일;안두수
    • 대한전기학회:학술대회논문집
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    • 대한전기학회 1999년도 하계학술대회 논문집 B
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    • pp.755-757
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    • 1999
  • The operational properties of BPF(block-pulse functions) are much applied to the analysis of time-varying linear systems. The integral operational matrix of BPF converts the systems in the form of the differential equation into the algebraic problems. But the errors caused by using the integral operational matrix make it difficult that we exactly analyze time-varying linear systems. So, in this paper, to analyze time-varying linear systems we had used the recursive algorithm derived from the new integral operational matrix. And the usefulness of the proposed method is verified by the example.

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균열 진전에 대한 미세 입자의 영향 (The effects of microparticles on the crack propagation)

  • 정보영;박성도;윤영기;윤희석
    • 한국정밀공학회:학술대회논문집
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    • 한국정밀공학회 2003년도 춘계학술대회 논문집
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    • pp.1495-1498
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    • 2003
  • Recently, self-healing methods of a cracked matrix, especially polymeric composite materials, became the center of engineering researchers. In this paper, we summarized the self-healing concept for polymeric composite materials and investigated the effect of microparticle on the crack growth behavior in colorless and transparent matrix by experimental observation to describe the crack propagation around the microparticle inside epoxy matrix composite. Compression splitting test for the specimen involving microparticle was conducted. In addition, FE analysis was pursued to present the stress contour around microparticle in the matrix. Through the experiments and FE analysis, we found that the size. relative position, bonding condition and relative stiffness of microparticle are important parameters to decide the direction of crack propagation, which is related to the rupture of microparticle for self-healing

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유한요소-전달행렬의 혼합물을 이용한 3차원 구조물의 진동해석 (Vibration Analysis of 3-Dimensional Structure by using Mixed Method of Finite Element-Transfer Matrix)

  • 이동명
    • 한국공작기계학회논문집
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    • 제10권1호
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    • pp.16-22
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    • 2001
  • In this study for reduction degree of freedom of dynamic model, a mixed method to combined finite element method and transfer matrix method is presented. This offers the advantages of an automatic reduction in the size of the eigenvalues problem and of a straightforward means of dynamic substructuring. The analytical procedure in this method for dynamic analysis of 3-dimensional cantilevered box beam are described. the result of numerical example is shown to demonstate the efficiency and accuracy of this method. The result form this example agree well those obtained by ANSYS, By using this technique, the number of nodes required in the regular finite element method is reduced and therefore a smaller com-puter can be used.

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THERMAL EFFECTS ON THE STRAIN ENERGY RELEASE RATE FOR EDGE DELAMINATION IN CRACKED LAMINATED COMPOSITES

  • Soutis, C.;Kashtalyan, M.
    • 한국추진공학회:학술대회논문집
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    • 한국추진공학회 2001년도 제16회 학술발표회 논문초록집
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    • pp.1-6
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    • 2001
  • In this paper, edge delaminations in cracked composite plates are analytically investigated. A theoretical model based upon a sub-laminate approach is used to determine the strain energy release rate, $G^{ed}$, in [$\pm$$\theta_m$/$90_n$]$_s$ carbon/epoxy laminates loaded in tension. The analysis provides closed-form expressions for the reduced stiffness due to edge delamination and matrix cracking and the total energy release rate. The parameters controlling the laminate behaviour are identified. It is shown that the available energy for edge delamination is increased notably due to transverse ply cracking. Also thermal stresses increase substantially the strain energy release rate and this effect is magnified by the presence of matrix cracking. Prediction for the edge delamination onset strain is presented and compared with experimental data. The analysis could be applied to ceramic matrix composite laminates where similar mechanisms develop, but further experimental evidence is required.

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Dynamic analysis of trusses including the effect of local modes

  • Levy, Eldad;Eisenberger, Moshe
    • Structural Engineering and Mechanics
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    • 제7권1호
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    • pp.81-94
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    • 1999
  • The dynamic analysis of trusses using the finite element method tends to overlook the effect of local member dynamic behavior on the overall response of the complete structure. This is due to the fact that the lateral inertias of the members are omitted from the global inertia terms in the structure mass matrix. In this paper a condensed dynamic stiffness matrix is formulated and used to calculate the exact dynamic properties of trusses without the need to increase the model size. In the examples the limitations of current solutions are presented together with the exact results obtained from the proposed method.

웨이블릿을 이용한 파수영역 전자파 산란 해석법 연구 (A Study of Spectral Domain Electromagnetic Scattering Analysis Applying Wavelet Transform)

  • 빈영부;주세훈;이정흠;김형동
    • 한국전자파학회논문지
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    • 제11권3호
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    • pp.337-344
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    • 2000
  • 파수영역에서 모멘트법의 엄피던스 행렬의 특정을 관찰하고 이를 웨이블릿 변환을 이용하여 효율적으로 표현 하는 방법을 연구하였다. 영상 선호처리 분야에서 자주 사용되는 이차원 쿼드트리(2-D Quadtree)방법(행렬의 $\phi$ 부분에만 웨이블릿 변환을 적용하는 방법)을 적용하여 모멘트 행렬을 성기게 만들었다. 웨이블릿이 적용된 모멘트 행렬을 CG( Conjugate-Gradient)법을 이용하여 모멘트 법의 계산량과 메모리를 줄였다. 수치적 결과는 정사 각형 실린더의 경우 임피던스 행렬의 0이 아닌 값이 O($N^{1.6}$)으로 증가하는 것을 관찰하였다.

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