• Title/Summary/Keyword: moment matrix

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Behaviors of PSC-Beam Bridges According to Continuity of Spans (1) (PSC-Beam 교량의 연속화에 따른 거동해석 (1))

  • 곽효경;서영재;정찬묵;박영하
    • Journal of the Korea Concrete Institute
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    • v.11 no.5
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    • pp.11-20
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    • 1999
  • This paper deals with behaviors of PSC-Beam bridges according to continuity of spans. To analyze the long-term behavior of bridges, an analytical model which can simulate the effects of creep, the shrinkage of concrete, and the cracking of concrete slabs in the negative moment regions is introduced. To consider the different material properties across the sectional depth, the layer approach in which a section is divided into imaginary concrete and steel layers is adopted. The element stiffness matrix is constructed according to the assumed displacement field formulation, and the creep and shrinkage effects of concrete are considered in accordance with the first-order algorithm based on the expansion of the creep compliance. Correlation studies between analytical and experimental results are conducted with the objective to establish the validity of the proposed model. Besides, many uncertainties related to the continuity of spans are analyzed to minimize deck cracking at interior supports.

Geometrically Nonlinear Dynamic Analysis of Suspension Bridges Considering Construction Sequences (현수교의 기하학적 비선형을 고려한 동적 밀 시공단계별 해석)

  • 방명석
    • Journal of the Korean Society of Safety
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    • v.14 no.4
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    • pp.148-157
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    • 1999
  • Dynamic structural behavior in long span bridges, especially cable structures, is very sophisticated due to their flexibility and structural members are sequentially erected in each construction step. In this study, the consistent mass matrix for dynamic analysis is formulated and computational program considering construction sequences is developed where structural members can be builded or removed by command language and automatically reanalyzed in the moment when structural system is changed. The dynamic analysis, i.e. eigenvalue and time series analysis and the geometrically nonlinear analysis considering construction sequence are conducted to the Namhae Bridge. The analytical results are satisfactory compared with measuring values and the developed computational program can successfully be applied to design and safety check.

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Study on Method of Crack Detection of L-beams with Coupled Vibration (연성진동하는 L형 단면 보의 크랙 검출 방법에 대한 연구)

  • Son, In-Soo;Cho, Jeong-Rae;Ahn, Sung-Jin
    • Journal of the Korean Society of Manufacturing Process Engineers
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    • v.9 no.6
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    • pp.78-86
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    • 2010
  • This paper aims to investigate the natural frequency of a cracked cantilever L-beams with a coupled bending and torsional vibrations. In addition, a theoretical method for detection of the crack position and size in a cantilever L-beams is presented based on natural frequencies. Based on the Euler-Bernoulli beam theory, the equation of motion is derived by using extended Hamilton's Principle. The dynamic transfer matrix method is used for calculation of a exact natural frequencies of L-beams. In order to detect the crack of L-beams, the effect of spring coefficients for bending moment and torsional force is included. In this study, the differences between the actual data and predicted positions and sizes of crack are less than 0.5% and 6.7% respectively.

A Cyclic Subnormal Completion of Complex Data

  • Jung, Il Bong;Li, Chunji;Park, Sun Hyun
    • Kyungpook Mathematical Journal
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    • v.54 no.2
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    • pp.157-163
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    • 2014
  • For a finite subset ${\Lambda}$ of $\mathbb{N}_0{\times}\mathbb{N}_0$, where $\mathbb{N}_0$ is the set of nonnegative integers, we say that a complex data ${\gamma}_{\Lambda}:=\{{\gamma}_{ij}\}_{(ij){\in}{\Lambda}}$ in the unit disc $\mathbf{D}$ of complex numbers has a cyclic subnormal completion if there exists a Hilbert space $\mathcal{H}$ and a cyclic subnormal operator S on $\mathcal{H}$ with a unit cyclic vector $x_0{\in}\mathcal{H}$ such that ${\langle}S^{*i}S^jx_0,x_0{\rangle}={\gamma}_{ij}$ for all $i,j{\in}\mathbb{N}_0$. In this note, we obtain some sufficient conditions for a cyclic subnormal completion of ${\gamma}_{\Lambda}$, where ${\Lambda}$ is a finite subset of $\mathbb{N}_0{\times}\mathbb{N}_0$.

An Approach for Efficient Numerical Integration of the Sommerfeld Type Integrals Pertinent to the Microstrip Surface Green's Function (Microstrip 표면 Green 함수에 관한 Sommerfeld 형 적분들의 효과적인 수치 적분법)

  • 최익권
    • The Journal of Korean Institute of Communications and Information Sciences
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    • v.18 no.1
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    • pp.143-149
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    • 1993
  • An approach is presented for efficient numerical integration of the Sormnerfeld type integrals pertinent to the microstrip surface Green's function arising in the problem of an electric current point source on an infinite planar grounded dielectric substrate. This approach, valid for both lossless and lossy dielectric substrates, is based on the deformation of the integration contour via a coordinate transformation and Cauchy's residue theory, and identifies clearly the effects of surface waves. I ts useful application is in a rigorous moment method analysis of micros trip antenna arrays and microstrip guided wave structures. The efficiency and the usefulness of the present approach are emphasized through some numerical calculations of the impedance matrix elements with associated CPU times.

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On the theory of curved anisotropic plate

  • Chiang, Yih-Cherng
    • Structural Engineering and Mechanics
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    • v.22 no.6
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    • pp.741-759
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    • 2006
  • A general theory which describes the elastic response of a curved anisotropic plate subjected to stretching and bending will be developed by considering the nonlinear effect that reflecting the non-flat geometry of the structure. By applying a newly derived $6{\times}6$ matrix constitutive relation between force resultants, moment resultants, mid-plane strains and deformed curvatures, the governing differential equations for a curved anisotropic plate is developed in the usual manner, namely, by consideration of the constitutive relation and equilibrium equations. Solutions are obtained for simply-supported boundary conditions and compared to corresponding solutions that neglecting the nonlinear effect in the analysis. The comparisons indicate that the nonlinear terms in the equations that caused by the curvature of the structure is crucial for the curved plate analysis. Under certain curved plate geometries the unreasonable results will be induced by neglecting the nonlinear effect in the analysis.

Calculation of the Dipole Moments for Simple Molecules by the Expansion Method for Spherical Harmonics (Spherical Harmonics의 전개방법에 의한 간단한 분자의 쌍극자모멘트의 계산)

  • Ahn Sang Woon;Park, Byeong Bin
    • Journal of the Korean Chemical Society
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    • v.22 no.6
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    • pp.357-364
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    • 1978
  • The dipole moments for $NH_3$, HF, CO, HCHO, HCN, PO, $PO^-\;and\;H_2O$ molecules are calculated, using the method for evaluation of the dipole moment matrix elements by the expansion method for spherical harmonics. The calculated dipole moments in this work are closer to the experimental values than those of the other work.

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Design of Hierarchical Classifier for Classifying Defects of Cold Mill Strip using Neural Networks (신경회로망을 이용한 냉연 표면흠 분류를 위한 계층적 분류기의 설계)

  • Kim, Kyoung-Min;Lyou, Kyoung;Jung, Woo-Yong;Park, Gwi-Tae;Park, Joong-Jo
    • Journal of Institute of Control, Robotics and Systems
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    • v.4 no.4
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    • pp.499-505
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    • 1998
  • In developing an automated surface inspect algorithm, we have designed a hierarchical classifier using neural network. The defects which exist on the surface of cold mill strip have a scattering or singular distribution. We have considered three major problems, that is preprocessing, feature extraction and defect classification. In preprocessing, Top-hit transform, adaptive thresholding, thinning and noise rejection are used Especially, Top-hit transform using local minimax operation diminishes the effect of bad lighting. In feature extraction, geometric, moment, co-occurrence matrix, and histogram ratio features are calculated. The histogram ratio feature is taken from the gray-level image. For defect classification, we suggest a hierarchical structure of which nodes are multilayer neural network classifiers. The proposed algorithm reduced error rate by comparing to one-stage structure.

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Frequency analysis of beams with multiple dampers via exact generalized functions

  • Failla, Giuseppe
    • Coupled systems mechanics
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    • v.5 no.2
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    • pp.157-190
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    • 2016
  • This paper deals with frequency analysis of Euler-Bernoulli beams carrying an arbitrary number of Kelvin-Voigt viscoelastic dampers, subjected to harmonic loads. Multiple external/internal dampers occurring at the same position along the beam axis, modeling external damping devices and internal damping due to damage or imperfect connections, are considered. The challenge is to handle simultaneous discontinuities of the response, in particular bending-moment/rotation discontinuities at the location of external/internal rotational dampers, shear-force/deflection discontinuities at the location of external/internal translational dampers. Following a generalized function approach, the paper will show that exact closed-form expressions of the frequency response under point/polynomial loads can readily be derived, for any number of dampers. Also, the exact dynamic stiffness matrix and load vector of the beam will be built in a closed analytical form, to be used in a standard assemblage procedure for exact frequency response analysis of frames.

On Effects of Large-Deflected Beam Analysis by Iterative Transfer Matrix Approach

  • Sin, Jung-Ho
    • 한국기계연구소 소보
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    • s.18
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    • pp.131-136
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    • 1988
  • A small-deflected beam can be easily solved by assuming a linear system. But a large-deflected beam can not be solved by superposition of the displacements, because the system is nonlinear. The solutions for the large-deflection problems can not be obtained directly from elementary beam theory for linearized systems since the basic assumptions are no longer valid. Specifically, elementary theory neglects the square of the first derivative in the beam curvature formula and provides no correction for the shortening of the moment-arm cause by transverse deflection. These two effects must be considered to analyze the large deflection. Through the correction of deflected geometry and internal axial force, the proposed new approach is developed from the linearized beam theory. The solutions from the proposed approach are compared with exact solutions.

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