• 제목/요약/키워드: structures matrices

검색결과 212건 처리시간 0.027초

엄밀한 동적 요소를 이용한 프레임 구조물의 모델링 및 모드 해석 (Modeling and Its Modal Analysis for Distributed Parameter Frame Structures using Exact Dynamic Elements)

  • 김종욱;홍성욱
    • 소음진동
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    • 제9권5호
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    • pp.966-974
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    • 1999
  • This paper introduces modeling and its modal analysis procedure for exact and closed form solution of in-plane vibrations of general Timoshenko frame structures using exact dynamic element method(EDEM). The derivation procedure of the exact system dynamic matrices for Timoshenko beam frames is described. A new modal analysis procedure is also proposed since the conventional modal analysis schemes are not adequate for the proposed, exact system dynamic matrix. The proposed method provides exact modal parameters as well as all kinds of closed form solutions for general frame structures. Two numerical examples are presented for validating and illustrating the proposed method. The numerical study proves that the proposed method is useful for dynamic analysis of frame structures.

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Stochastic response analysis of visco-elastic slit shear walls

  • Kwan, A.K.H.;Tian, Q.L.;Cheung, Y.K.
    • Structural Engineering and Mechanics
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    • 제6권4호
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    • pp.377-394
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    • 1998
  • Slit shear walls an reinforced concrete shear wall structures with purposely built-in vertical slits. If the slits are inserted with visco-elastic damping materials, the shear walls will become viscoelastic sandwich beams. When adequately designed, this kind of structures can be quite effective in resisting earthquake loads. Herein, a simple analysis method is developed for the evaluation of the stochastic responses of visco-elastic slit shear walls. In the proposed method, the stiffness and mass matrices are derived by using Rayleigh-Ritz method, and the responses of the structures are calculated by means of complex modal analysis. Apart from slit shear walls, this analysis method is also applicable to coupled shear walls and cantilevered sandwich beams. Numerical examples are presented and the results clearly show that the seismic responses of shear wall structures can be substantially reduced by incorporating vertical slits into the walls and inserting visco-elastic damping materials into the slits.

Dynamic analysis of guideway structures by considering ultra high-speed Maglev train-guideway interaction

  • Song, Myung-Kwan;Fujino, Yozo
    • Structural Engineering and Mechanics
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    • 제29권4호
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    • pp.355-380
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    • 2008
  • In this study, the new three-dimensional finite element analysis model of guideway structures considering ultra high-speed magnetic levitation train-bridge interaction, in which the various improved finite elements are used to model structural members, is proposed. The box-type bridge deck of guideway structures is modeled by Nonconforming Flat Shell finite elements with six DOF (degrees of freedom). The sidewalls on a bridge deck are idealized by using beam finite elements and spring connecting elements. The vehicle model devised for an ultra high-speed Maglev train is employed, which is composed of rigid bodies with concentrated mass. The characteristics of levitation and guidance force, which exist between the super-conducting magnet and guideway, are modeled with the equivalent spring model. By Lagrange's equations of motion, the equations of motion of Maglev train are formulated. Finally, by deriving the equations of the force acting on the guideway considering Maglev train-bridge interaction, the complete system matrices of Maglev train-guideway structure system are composed.

Design of Encoder and Decoder for LDPC Codes Using Hybrid H-Matrix

  • Lee, Chan-Ho
    • ETRI Journal
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    • 제27권5호
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    • pp.557-562
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    • 2005
  • Low-density parity-check (LDPC) codes have recently emerged due to their excellent performance. However, the parity check (H) matrices of the previous works are not adequate for hardware implementation of encoders or decoders. This paper proposes a hybrid parity check matrix which is efficient in hardware implementation of both decoders and encoders. The hybrid H-matrices are constructed so that both the semi-random technique and the partly parallel structure can be applied to design encoders and decoders. Using the proposed methods, the implementation of encoders can become practical while keeping the hardware complexity of the partly parallel decoder structures. An encoder and a decoder are designed using Verilog-HDL and are synthesized using a $0.35 {\mu}m$ CMOS standard cell library.

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사장교의 초기형상해석을 위한 탄성포물선요소 (Elastic porabolic element for initial shaping analysis of cable-stayed bridges)

  • 경용수;김호경;김문영
    • 한국전산구조공학회:학술대회논문집
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    • 한국전산구조공학회 2005년도 춘계 학술발표회 논문집
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    • pp.481-488
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    • 2005
  • This study presents a elastic parabolic cable element for initial shaping analysis of cable structures. First, the compatibility condition and the tangent stiffness matrices of the elastic catenary cable element are shortly summarized. Next the force-deformation relations and the tangent stiffness matrices of the elastic parabolic cable elements are derived from the assumption that sag configuration under self-weights is small. To confirm the accuracy of this element, initial shaping analysis of cable-stayed bridges under dead loads is executed. Finally, the accuracy and the validity of the analysis-results are compared and analyzed through numerical examples.

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유한요소법(有限要素法)에 의한 박벽(薄壁) 공간(空間)뼈대구조(構造)의 좌굴(坐屈) 해석(解析) (Stability Analysis of Thin-Walled Space Frame by F.E.M.)

  • 김문영;신현목
    • 대한토목학회논문집
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    • 제13권1호
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    • pp.1-12
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    • 1993
  • 가상변수(假想變數)의 원리(原理)를 이용하여 공간박벽(空間薄璧) 및 뼈대구조물(構造物)의 비틂 및 횡좌굴해석(橫挫掘解析)을 수행하기 위한 접선강도(接線剛度)매트릭스들이 유도(誘導)된다. 구속(拘束)된 비틂을 고려하는 경우와 무시하는 경우 각각에 대하여, 탄성(彈性) 및 기하적(幾何的)인 강도(剛度)매트릭스들이 얻어지며 이때 축방향(軸方向) 변위(變位), 횡방향(橫方向) 처짐들, 그리고 비틂회전각에 대하여 적절한 Hermitian 다항식들을 형상함수(形狀函數)로 사용된다. 수치해석예제(數値解析例題)들을 통하여 본 연구(硏究)에서 제시한 이론(理論)의 정당성(正當性)을 입증(立證)한다.

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Seismic fragility curves using pulse-like and spectrally equivalent ground-motion records

  • Surana, Mitesh
    • Earthquakes and Structures
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    • 제19권2호
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    • pp.79-90
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    • 2020
  • 4- and 8-storey reinforced-concrete frame buildings are analyzed under the suites of the near-fault pulse-like, and the corresponding spectrally equivalent far-fault ground-motion records. Seismic fragility curves for the slight, moderate, extensive, and complete damage states are developed, and the damage probability matrices, and the mean loss ratios corresponding to the Design Basis Earthquake and the Maximum Considered Earthquake hazard levels are compared, for the investigated buildings and sets of ground-motion records. It is observed that the spectrally equivalent far-fault ground-motion records result in comparable estimates of the fragility curve parameters, as that of the near-fault pulse-like ground-motion records. As a result, the derived damage probability matrices and mean loss ratios using two suites of ground-motion records differ only marginally (of the order of ~10%) for the investigated levels of seismic hazard, thus, implying the potential for application of the spectrally equivalent ground-motion records, for seismic fragility and risk assessment at the near-fault sites.

Eigenvalue analysis of structures with flexible random connections

  • Matheu, E.E.;Suarez, L.E.
    • Structural Engineering and Mechanics
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    • 제4권3호
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    • pp.277-301
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    • 1996
  • A finite element model of a beam element with flexible connections is used to investigate the effect of the randomness in the stiffness values on the modal properties of the structural system. The linear behavior of the connections is described by a set of random fixity factors. The element mass and stiffness matrices are function of these random parameters. The associated eigenvalue problem leads to eigenvalues and eigenvectors which are also random variables. A second order perturbation technique is used for the solution of this random eigenproblem. Closed form expressions for the 1st and 2nd order derivatives of the element matrices with respect to the fixity factors are presented. The mean and the variance of the eigenvalues and vibration modes are obtained in terms of these derivatives. Two numerical examples are presented and the results are validated with those obtained by a Monte-Carlo simulation. It is found that an almost linear statistical relation exists between the eigenproperties and the stiffness of the connections.

직선 박벽보에 대한 엄밀한 자유진동해석 (Exact Free Vibration Analysis of Straight Thin-walled Straight Beams)

  • 김문영;윤희택;나성훈
    • 한국철도학회:학술대회논문집
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    • 한국철도학회 2000년도 추계학술대회 논문집
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    • pp.358-365
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    • 2000
  • For the general case of loading conditions and boundary conditions, it is very difficult to obtain closed form solutions for buckling loads and natural frequencies of thin-walled structures because its behaviour is very complex due to the coupling effect of bending and torsional behaviour. In consequence, most of previous finite element formulations are introduce approximate displacement fields to use shape functions as Hermitian polynomials, and so on. The Purpose of this study is to presents a consistent derivation of exact dynamic stiffness matrices of thin-walled straight beams, to be used ill tile free vibration analysis, in which almost types of boundary conditions are exist An exact dynamic element stiffness matrix is established from governing equations for a uniform beam element of nonsymmetric thin-walled cross section. This numerical technique is accomplished via a generalized linear eigenvalue problem by introducing 14 displacement parameters and a system of linear algebraic equations with complex matrices. The natural frequency is evaluated for the thin-walled straight beam structure, and the results are compared with analytic solutions in order to verify the accuracy of this study.

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THE PERIODIC JACOBI MATRIX PROCRUSTES PROBLEM

  • Li, Jiao-Fen;Hu, Xi-Yan
    • Journal of applied mathematics & informatics
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    • 제28권3_4호
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    • pp.569-582
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    • 2010
  • The following "Periodic Jacobi Procrustes" problem is studied: find the Periodic Jacobi matrix X which minimizes the Frobenius (or Euclidean) norm of AX - B, with A and B as given rectangular matrices. The class of Procrustes problems has many application in the biological, physical and social sciences just as in the investigation of elastic structures. The different problems are obtained varying the structure of the matrices belonging to the feasible set. Higham has solved the orthogonal, the symmetric and the positive definite cases. Andersson and Elfving have studied the symmetric positive semidefinite case and the (symmetric) elementwise nonnegative case. In this contribution, we extend and develop these research, however, in a relatively simple way. Numerical difficulties are discussed and illustrated by examples.