• Title/Summary/Keyword: Matrix-free

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Axial and Flexural Coupled Free Vibration Analysis of a Branched Structure (Formulation by the Transfer Influence Coefficient Method) (분지를 갖는 구조물의 종.굽힘 연성 자유진동해석 (전달영향계산법에 의한 정식화))

  • 문덕홍;최명수;공석조
    • Journal of Advanced Marine Engineering and Technology
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    • v.16 no.5
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    • pp.29-38
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    • 1992
  • This paper describes the general formulation for the in-plane longitudinal and flexural coupled free vibration analysis of a branched structure. The branched structure, which is mainly found in machine tools, pipeline systems and so on, has some crooked parts and subsystems. And it modeled as a distributed mass system. The superiority of the present method to the transfer matrix method in the computation accuracy and speed was confirmed by the numerical computation results. Moreover, we comfirmed that boundary and intermediate conditions have been controlled by the spring constants.

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Free Vibration Analysis of Disk Structure by the Transfer Influence Coefficient Method (전달영향계수법에 의한 원판구조물의 자유진동해석)

  • ;末岡淳男;近騰孝廣
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.15 no.5
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    • pp.1439-1446
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    • 1991
  • 본 연구에서는 동적영향계수의 축차전달에 그 개념을 두고 있는 전달영향계수 법을, 2층 원판구조물의 자유진동해석애 적용해서, 그 알고리즘을 정식화 하고 전달매 트릭스법과 비교 검토하였다.

Implimentation of Parallel Procssor System with Reliability (신뢰성을 고려한 병열프로세서에서 구성)

  • 고명삼;정택원
    • 전기의세계
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    • v.31 no.5
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    • pp.355-360
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    • 1982
  • In numerical computation, it is desirable to access any row or column, the main diagonal, subarrays, of a matrix without any conflict for successful parallel processing. To meet this requirement special storage scheme is used for conflict-free access of necessary data. Interconnection network, which connects processing elements and processing element memory modules, is required to execute the necessary operations. In this paper we discuss the skewing method for conflict-free, access to various bit slices and single-stage interconnection networks.

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Computation of Circuit Parameters of Multiconductor Transmission Lines with Arbitrary Cross Section (임의 단말을 가진 전송선의 회로정수 산출)

  • 김종민;김종해;하상욱;라극환
    • Journal of the Korean Institute of Telematics and Electronics
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    • v.26 no.12
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    • pp.1918-1925
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    • 1989
  • A method for computing the capacitance and inductance matrix for 2-D multiconductor transmission lines with arbitrary cross section in dielectric medium is presented. The integral equation is obtained by using a free space Green function in conjunction with free and bound charges existing on boundary surfaces. The numerical analysis is based on the moment method using point matching and Galerkin method. And kthe scheme to reduce memory and computation time is presented for symmetric structure.

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Stabilization of Multilocomotive Powered Train System Using Lyapunov Functions (Lyapunov 함수에 의한 대규모 열차 시스템의 안정화)

  • Nam, Boo-Hee
    • Journal of Industrial Technology
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    • v.11
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    • pp.33-41
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    • 1991
  • Using the Brayton and Tong's computer-generated Lyapunov functions, we stabilize the multilocomotive train system so that the system is globally asymptotically stable. We decompose an interconnected system into the second order subsystems. Lyapunov functions of the free subystems are constructed using the Brayton and Tong's algorithm. An aggregated test matrix is determined in terms of the qualitative properties of the free subsystems and the interconnecting structures. Stated feedback is used for stabilizing the entire system.

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Nonlinear analysis of stepped beam with immovable ends for free and forced vibration (양단고정된 변단면보의 자유 및 강제진동의 비선형해석)

  • 심재수;함원식
    • Proceedings of the Computational Structural Engineering Institute Conference
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    • 1990.04a
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    • pp.12-17
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    • 1990
  • Stepped bean with immovable ends for large amplitude of vibration including effects of longitudinal displacement, shear deformation and rotary inertia is investigated for free and forced vibration using finite element method. Modified harmonic force matrix is introduced for analysis of vibration with finite amplitude of the stepped beam under uniform hamonic loading and beam with nonuniform harmonic loading. Numerical examples of stepped beam with various support conditions are analysed for deflections and natural frequencies. Results show that the proposed method is valid and efficient.

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In-Plane Free Vibration Analysis of Curved Timoshenko Beams by the Pseudospectral Method

  • Lee, Jinhee
    • Journal of Mechanical Science and Technology
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    • v.17 no.8
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    • pp.1156-1163
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    • 2003
  • The pseudospectral method is applied to the analysis of in-plane free vibration of circularly curved Timoshenko beams. The analysis is based on the Chebyshev polynomials and the basis functions are chosen to satisfy the boundary conditions. Natural frequencies are calculated for curved beams of rectangular and circular cross sections under hinged-hinged, clamped-clamped and hinged-clamped end conditions and the results are compared with those by transfer matrix method. The present method gives good accuracy with only a limited number of collocation points.

Vibration behavior of bi-dimensional functionally graded beams

  • Selmi, Abdellatif
    • Structural Engineering and Mechanics
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    • v.77 no.5
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    • pp.587-599
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    • 2021
  • Based on Euler-Bernoulli beam theory and continuous element method, the free vibration of bi-dimensional functionally graded beams is investigated. It is assumed that the material properties vary exponentially along the beam thickness and length. The characteristic frequency equations of beams with different boundary conditions are obtained by transfer matrix method. The validity of the proposed method is assessed through comparison with available results. Parametric studies are carried out to analyze the influences of the gradient indexes and the beam slenderness ratio on the natural frequencies of bi-dimensional functionally graded beams.

Fabrication of PP/Carbon Fiber Composites by Introducing Reactive Interphase and its Properties (반응성 고분자 계면상을 도입한 PP/탄소섬유 복합재료의 제조와 물성)

  • 김민영;김지홍;김원호;최영선;황병선
    • Polymer(Korea)
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    • v.24 no.4
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    • pp.556-563
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    • 2000
  • In general, the development of thermoplastic composites has been confronted with difficult problems such as the weak bonding strength between fibers and matrix. However, now, such problems are being surmounted by the development of resins, the improvement of processes, and introduction of interphase. Especially, the introduction of interphase between fiber and matrix can help a dissipation of the impact energy and provide a good adhesion between fibers and matrix. In this study, polymeric interphase was introduced by electrodeposition, modified polypropylene was added to improve the weak bonding strength between interphase and polypropylene matrix. By evaluation of interlaminar shear strength and impact strength of the composites, it was found that composites with introduced composites showed higher mechanical properties than those of composites without interphase. Reactive polymers which have either anhydride or free acid functional group were used as interphase materials, and these polymers also behave as charge carrier in aqueous solution during the electrodeposition process. Weight gain on the carbon fibers was evaluated by changing process parameters such as concentration of solution, current density, and electrodeposition time.

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Wiggle-free Finite Element Model for extended Boussinesq equations (확장형 Boussinesq FEM model의 수치진동오차 개선)

  • Woo, Seung-Buhm;Choi, Young-Kwang;Gonzalez-Ondina, Jose M.
    • Journal of Korean Society of Coastal and Ocean Engineers
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    • v.22 no.1
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    • pp.47-57
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    • 2010
  • Subgrid scale stabilization method is applied to Woo and Liu(2004)'s extended Boussinesq FEM numerical model to eliminate the 2dx wiggles. In order to optimize the computational efficiency, Hessian operator is introduced and the matrix of velocity vector is combined to one matrix for solving matrix equations. The mass lumping technique is also applied to the matrix equations of auxiliary variables. The newly developed code is applied to simulate Vincent and Briggs(1989)' wave transformation experiments and the results show that the numerical solution is almost wiggle-free and it matches very well with experimental data. Due to improvement of computational efficiency and wiggle reduction, it is plausible to apply this model to a realistic problem such as harbor oscillation problems.