• Title/Summary/Keyword: Matrix structures

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An Efficient Structural Analysis of Multistory Buildings (고층건물의 효율적인 구조해석)

  • Kim, Kyeong Ho;Lee, Dong Guen
    • KSCE Journal of Civil and Environmental Engineering Research
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    • v.7 no.2
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    • pp.141-153
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    • 1987
  • The prediction of the exact behavior of multistory building is one of the most complicated problem encountered in structural engineering practice. An efficient computer method for the three dimensional analysis of building structures is presented in this paper. A multistory building is idealized as an assemblage of a series of rectangular plane frames interconnected by rigid floor diaphragms. The matrix condensation technique is employed for the reduction of degrees of freedom, which results in a significant saving in computational efforts and the required memory size. Kinematical approach was used to assemble condensed stiffness matrices of plane frames into a three dimensional stick model stiffness matrix. The static analysis follows the modified tridiagonal approach. Since this procedure utilizes the condensed stiffness matrix of the structure, the dynamic equations of motion for the story displacement are developed by assigning proper mass for each story. Analysis results of several example structures are compared to those obtained by using the well-known SAP IV for verification of the accuracy and efficiency of the computer program PFS which was developed utilizing the method proposed in this study. The analysis method proposed in this study can be used as an efficient and economical means for the analysis of multistory buildings.

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Study on the Dynamic Instability of Star-Dome Structures (스타돔의 동적 불안정 현상에 관한 연구)

  • Han, Sang-Eul;Hou, Xiao-Wu
    • Proceedings of the Computational Structural Engineering Institute Conference
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    • 2008.04a
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    • pp.72-77
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    • 2008
  • Stability is a very important part which we must consider in structural design. In this paper, we take advantage of finite element method, and study about parametrical instability of star-dome structures, which is subjected to harmonically pulsating load. When calculating stiffness matrix, we consider elastic stiffness and geometrical stiffness simultaneously. In equation of motion, we represent displacements and accelerations by trigonometric series expansions, and then obtain Hill's infinite determinants. After first order approximation, we can get first and second order dynamic instability region finally.

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Behavior of durable SFRC Structures for the Protection of Underground Environment (토양과 지하수를 보호하기 위한 구조물에 있어서 강섬유콘크리트의 특성)

  • 강보순;심형섭
    • Proceedings of the Korea Concrete Institute Conference
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    • 2001.11a
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    • pp.329-334
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    • 2001
  • In this paper, the crack properties of steel fiber reinforced concrete (SFRC) structures for environment by experimental and analytical methods are discussed. The major role played by the steel fiber occurs in the post-cracking zone, in which the fibers bridge across the cracked matrix. Because of its improved ability to break crack, SFRC has better crack properties than that of reinforced concrete (RC). Crack properties are influenced by longitudinal reinforcement ratio, volume and type of steel fiber, strength of concrete.

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Efficient Analysis for Vertical Vibration of Multistory Buildings (다층 건축구조물의 효율적인 연직진동해석)

  • 이동근;안상경
    • Proceedings of the Computational Structural Engineering Institute Conference
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    • 1999.04a
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    • pp.129-136
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    • 1999
  • This research proposes an effective analytical methodology for vertical vibration of three dimensional frame structures including slabs. The consideration of slabs, although allows more precise results, requires large amount of computer time and memory space due to the use of plane stress elements. In consideration of these problems, a method to properly manage nodal points and degrees of freedom is proposed based on matrix condensation technique. Also studied is the use of substructure method to obtain fast and reliable results with simple input data when they are applied to conventional building structures.

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Analysis of Hydroelastic Responses for Very Large Floating Structures with a Shallow Draft (천흘수 초대형 부유식 해양규조물의 유탄성 응답해석)

  • 신현경
    • Journal of Ocean Engineering and Technology
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    • v.14 no.2
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    • pp.53-59
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    • 2000
  • A numerical method to predict responses of very large floating structures in wave is suggested using source-dipole distribution method. The deflection of the plate is calculated by the finite element method in terms of rigidity matrix of each node. The calculated results for a plate are compared with the experimental ones.

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Flexural properties, interlaminar shear strength and morphology of phenolic matrix composites reinforced with xGnP-coated carbon fibers

  • Park, Jong Kyoo;Lee, Jae Yeol;Drzal, Lawrence T.;Cho, Donghwan
    • Carbon letters
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    • v.17 no.1
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    • pp.33-38
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    • 2016
  • In the present study, exfoliated graphite nanoplatelets (xGnP) with different particle sizes were coated onto polyacrylonitrile-based carbon fibers by a direct coating method. The flexural properties, interlaminar shear strength, and the morphology of the xGnP-coated carbon fiber/phenolic matrix composites were investigated in terms of their longitudinal flexural strength and modulus, interlaminar shear strength, and by optical and scanning electron microscopic observations. The results were compared with a phenolic matrix composite counterpart prepared without xGnP. The flexural properties and interlaminar shear strength of the xGnP-coated carbon fiber/phenolic matrix composites were found to be higher than those of the uncoated composite. The flexural and interlaminar shear strengths were affected by the particle size of the xGnP, while the particle size had no significant effect on the flexural modulus. It seems that the interfacial contacts between the xGnP-coated carbon fibers and the phenolic matrix play a role in enhancing the flexural strength as well as the interlaminar shear strength of the composites.

Development of Vibration Analysis Algorithm for Joined Conical-cylindrical Shell Structures using Transfer of Influence Coefficient

  • Yeo, Dong-Jun;Choi, Myung-Soo
    • Journal of Power System Engineering
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    • v.17 no.1
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    • pp.50-57
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    • 2013
  • This describes the formulation for the free vibration of joined conical-cylindrical shells with uniform thickness using the transfer of influence coefficient. This method was developed based on successive transmission of dynamic influence coefficients, which were defined as the relationships between the displacement and the force vectors at arbitrary nodal circles of the system. The two edges of the shell having arbitrary boundary conditions are supported by several elastic springs with meridional/axial, circumferential, radial and rotational stiffness, respectively. The governing equations of vibration of a conical shell, including a cylindrical shell, are written as a coupled set of first order differential equations by using the transfer matrix of the shell. Once the transfer matrix of a single component has been determined, the entire structure matrix is obtained by the product of each component matrix and the joining matrix. The natural frequencies and the modes of vibration were calculated numerically for joined conical-cylindrical shells. The validity of the present method is demonstrated through simple numerical examples, and through comparison with the results of previous researchers.

Identification of Damping Matrix for a Steel Bar by the Genetic Algorithm (유전알고리즘에 의한 강봉의 감쇠행렬 산출법)

  • Park, Sok-Chu;Park, Young-Bum;Park, Kyoung-Il;Je, Hye-Kwang;Yi, Geum-Joo
    • Journal of Advanced Marine Engineering and Technology
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    • v.35 no.2
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    • pp.271-277
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    • 2011
  • An identification method of the structural damping matrix for a steel bar by the genetic algorithm is proposed. Supposing the damping matrix were in proportion to the stiffness matrix, the proportional factors can be identified from the curve fitting of the experimental frequency response function(FRF) by the genetic algorithm. Applying the identified damping matrix to FEM of a beam model, the values of the objective function could be reduced to about 1/60 in comparison with conventional FEM model without damping. The damping matrices of some sub-structures which have large damping partly could be identified by the algorithm, and they could be used as some parts of the FEM model for a whole structure.

Compression failure and fiber-kinking modeling of laminated composites

  • Ataabadi, A. Kabiri;Ziaei-Rad, S.;Hosseini-Toudeshky, H.
    • Steel and Composite Structures
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    • v.12 no.1
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    • pp.53-72
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    • 2012
  • In this study, the physically-based failure models for matrix and fibers in compression and tension loading are introduced. For the 3D stress based fiber kinking model a modification is proposed for calculation of the fiber misalignment angle. All of these models are implemented into the finite element code by using the advantage of damage variable and the numerical results are discussed. To investigate the matrix failure model, purely in-plane transverse compression experiments are carried out on the specimens made by Glass/Epoxy to obtain the fracture surface angle and then a comparison is made with the calculated numerical results. Furthermore, shear failure of $({\pm}45)_s$ model is investigated and the obtained numerical results are discussed and compared with available experimental results. Some experiments are also carried out on the woven laminated composites to investigate the fracture pattern in the matrix failure mode and shown that the presented matrix failure model can be used for the woven composites. Finally, the obtained numerical results for stress based fiber kinking model and improved ones (strain based model) are discussed and compared with each other and with the available results. The results show that these models can predict the kink band angle approximately.

Hardware implementation of Petri net-based controller with matrix-based look-up tables (행렬구조 메모리 참조표를 사용한 페트리네트 제어기의 하드웨어 구현)

  • Chang, Nae-Hyuck;Jeong, Seung-Kweon;Kwon, Wook-Hyun
    • Journal of Institute of Control, Robotics and Systems
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    • v.4 no.2
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    • pp.194-202
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    • 1998
  • This paper describes a hardware implementation method of a Petri Net-based controller. A flexible and systematic implementation method, based on look-up tables, is suggested, which enables to build high speed Petri net-based controllers. The suggested method overcomes the inherent speed limit that arises from the microprocessors by using of matrix-based look-up tables. Based on the matrix framework, this paper suggests various specific data path structures as well as a basic data path structure, accompanied by evolution algorithms, for sub-class Petri nets. A new sub-class Petri net, named Biarced Petri Net, resolves memory explosion problem that usually comes with matrix-based look-up tables. The suggested matrix-based method based on the Biarced Petri net has as good efficiency and expendability as the list-based methods. This paper shows the usefulness of the suggested method, evaluating the size of the look-up tables and introducing an architecture of the signal processing unit of a programmable controller. The suggested implementation method is supported by an automatic design support program.

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