• Title/Summary/Keyword: 일반화 변위

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Improved Method Evaluating the Stiffness Matrices of Thin-walled Beam on Elastic Foundations (탄성지반위에 놓인 박벽보의 강성행렬산정을 위한 개선된 해석기법)

  • Kim, Nam-Il;Jung, Sung-Yeop;Lee, Jun-Seok;Kim, Moon-Young
    • Journal of the Computational Structural Engineering Institute of Korea
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    • v.20 no.2
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    • pp.113-125
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    • 2007
  • Improved numerical method to obtain the exact stiffness matrices is newly proposed to perform the spatially coupled elastic and stability analyses of non-symmetric and open/closed thin-walled beam on elastic foundation. This method overcomes drawbacks of the previous method to evaluate the exact stiffness matrix for the spatially coupled stability analysis of thin-walled beam-column This numerical technique is accomplished via a generalized eigenproblem associated with 14 displacement parameters by transforming equilibrium equations to a set of first order simultaneous ordinary differential equations. Next polynomial expressions as trial solutions are assumed for displacement parameters corresponding to zero eigenvalues and the eigenmodes containing undetermined parameters equal to the number of zero eigenvalues are determined by invoking the identity condition. And then the exact displacement functions are constructed by combining eigensolutions and polynomial solutions corresponding to non-zero and zero eigenvalues, respectively. Consequently an exact stiffness matrix is evaluated by applying the member force-deformation relationships to these displacement functions. In order to illustrate the accuracy and the practical usefulness of this study, the numerical solutions are compared with results obtained from the thin-walled beam and shell elements.

Hysteretic Behavior of Compressive Braces upon Repeated Cyclic Loading Based on the Review of Existing Data (기존 실험 자료를 통한 압축 철골가새의 반복 이력거동에 관한 고찰)

  • Lee, Kangmin
    • Journal of Korean Society of Steel Construction
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    • v.15 no.4 s.65
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    • pp.359-368
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    • 2003
  • Design and detailing requirements of seismic provisions for Concentrically Braced Frames (CBF) were specified based on the premise that bracing members with large KL/r and low b/t have superior seismic performance. However, relatively few tests have been done to investigate the cyclic behavior of CBF. Therefore, the question lies on whether the compression member of CBF plays as significant a role as what has been typically assumed by design providers. In this paper, existing experimental data were reviewed to quantify the extent of hysteretic energy achieved by bracing members in past compression tests as well as the extent of degradation of the compression force given repeated cycling loading.

Analysis of Heaving and Settlement Test of Scale Model Depending on Shape of the Pipe during Pipe Roof Excavation (비개착 추진공법에서 관의 형태에 따른 축소모형 융기 및 침하 실험분석)

  • Eum, Ki-Young;Choi, Chan-Yong;Cheon, Jeong-Yeon
    • Journal of the Korean Geosynthetics Society
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    • v.9 no.4
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    • pp.9-15
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    • 2010
  • In this study, a non-open cut method using a round or square pipe which has been commonly employed in Korea was experimentally evaluated and the behavioral features resulting from the friction while the pipe is penetrated into the ground was identified through the scale model test. To that end, a test device was fabricated by type of penetration pipe, by which the surface displacement caused by surrounding friction resistance was monitored. To simulate the settlement and heaving by excavation stage, the test was conducted based on generalized friction condition and surface displacement and the result therof was compared and analyzed, considering the type of penetration pipe.

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Estimation of Dynamic Displacements of a Bridge using FBG Sensors (FBG센서를 이용한 교량의 동적변위 추정)

  • Shin, Soobong;Yun, Byeong-Goo;Kim, Jae-Cheon
    • Journal of the Korea institute for structural maintenance and inspection
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    • v.13 no.3 s.55
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    • pp.101-109
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    • 2009
  • An algorithm is proposed for estimating dynamic displacements of a bridge by using FBG sensors and by superposing some measurable low modes. Modal displacements are obtained from the beam theory and the generalized coordinates are deduced from the strains measured by FBG sensors. By considering flexural and torsional modes occurred in bridges only as flexural modes of a simply supported beam by separating a bridge into multiple girders or parts, the proposed algorithm can be applied to various types of bridges. Guidelines are provided theoretically for determining the number of modes and the number of strain gages to be used. The proposed algorithm has been examined through simulation studies on various types of bridges, laboratory experiments on a model bridge, and field tests on a simple span PC Box girder bridge. Through the simulation study, the effects of the error in the vibration modes and measurement noise on estimating the dynamic displacements are analyzed.

Application of the GPS Data Simplification Methods for Railway Alignments Reconstruction (철도 선형 복원을 위한 GPS 데이터 단순화 방법의 적용)

  • 정의환
    • Journal of the Korean Society of Surveying, Geodesy, Photogrammetry and Cartography
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    • v.22 no.1
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    • pp.63-71
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    • 2004
  • This research is to reconstruction of railway alignment using GPS data, an investigation is made on the method of optimum simplification for reduction of unnecessary linear data, improve the accuracy by using four simplification algorithms among the methods. By applying two measured of displacement between observed data and it's simplification methods have been evaluated. The results showed that the complexities of lines is not practical to investigate simplification algorithms, the Douglas-Peucker method produced a little displacement between observed data and it's simplification. Its by using the Douglas-Peucker method to observed linear GPS data in railway track, design elements of horizontal alignment have been calculated. Then we could know that obtain the good results fur reconstruction of alignment elements through the methods and algorithns of this study.

Inclined Edge Crack in a Piezoelectric Material Under Antiplane Loads (압전재료에 대한 면외하중하의 모서리 경사 균열)

  • Choi, Sung Ryul;Sah, Jong Youb;Jeong, Jae Tack
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.39 no.6
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    • pp.589-596
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    • 2015
  • The occurrence of an inclined edge crack in transversely piezoelectric material is analyzed. Concentrated antiplane mechanical and inplane electrical loads are applied at the boundary and crack surface, respectively. The crack surfaces are assumed to be impermeable to the electric field. Using the Mellin transform with the introduction of a generalized displacement vector, the problem is formulated, and the Wiener-Hopf equation is derived. By solving the equation, the solution is obtained in a closed form. The intensity factors of the stress, the electric displacement, and the energy release rate are obtained for any crack length and inclination angle. These solutions can be used as fundamental solutions and can be superimposed to represent any arbitrary electromechanical loading.

Boundary Integral Equation Analysis of Axisymmetric Linear Elastic Problems (境界積分法에 의한 軸對稱 彈性 問題의 解析)

  • 공창덕;김진우
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.10 no.5
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    • pp.787-797
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    • 1986
  • An implicit approach is employed to obtain a general boundary integral formulation of axisymmetric elastic problems in terms of a pair of singular integral equations. The corresponding kernel functions from the solutions of Navier's equation are derived by applying a three dimensional integral and a direct axisymmetrical approach. A numerical discretization schem including the evaluation of Cauchy principal values of the singular integral is described. Finally the typical axisymmetric elastic models are analyzed, i.e. the hollow sphere, the constant thickness and the V-notched round bar.

Design Approach for Boundary Element of Flexure-Governed RC Slender Shear Walls Based on Displacement Ductility Ratio (휨 항복형 철근콘크리트 전단벽의 경계요소설계를 위한 변위연성비 모델제시)

  • Mun, Ju-Hyun;Yang, Keun-Hyeok
    • Journal of the Korea Concrete Institute
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    • v.26 no.6
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    • pp.687-694
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    • 2014
  • This study established a displacement ductility ratio model for ductile design for the boundary element of shear walls. To determine the curvature distribution along the member length and displacement at the free end of the member, the distributions of strains and internal forces along the shear wall section depth were idealized based on the Bernoulli's principle, strain compatibility condition, and equilibrium condition of forces. The confinement effect at the boundary element, provided by transverse reinforcement, was calculated using the stress-strain relationship of confined concrete proposed by Razvi and Saatcioglu. The curvatures corresponding to the initial yielding moment and 80% of the ultimate state after the peak strength were then conversed into displacement values based on the concept of equivalent hinge length. The derived displacement ductility ratio model was simplified by the regression approach using the comprehensive analytical data obtained from the parametric study. The proposed model is in good agreement with test results, indicating that the mean and standard deviation of the ratios between predictions and experiments are 1.05 and 0.19, respectively. Overall, the proposed model is expected to be available for determining the transverse reinforcement ratio at the boundary element for a targeted displacement ductility ratio.

Free Vibration Analysis of a Two-Layered Structure - Formulation by the Transfer Infiuence Coefficient Method - (2층 구조물의 자유진동해석 - 전달영향계수법에 의한 정식화 -)

  • Mun, Deok-Hong;Yeo, Dong-Jun;Kim, Won-Cheol
    • Journal of the Korean Society of Fisheries and Ocean Technology
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    • v.27 no.4
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    • pp.303-312
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    • 1991
  • This paper describes the general formulation for the in-plane flexural free vibration analysis of two layered structure by the transfer influence coefficient method. The structure is regared as a distributed mass system with lumped mass and inertia moments, massless linear and rotational springs, and joints elements of releases and rolls at which the displacements are discontinuous in each layer. The results of the simple numerical examples on a personal computer demonstrate the validity of the present method, that is, the numerical high accuracy, the high speed, the flexibility for programming of the present algorithm, compared with the transfer matrix method.

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Free Vibration Analysis of Non-symmetric Thin-Walled Curved Beams with Shear Deformation (전단변형을 고려한 비대칭 박벽 곡선보의 자유진동해석)

  • Kim, Nam-Il;Kim, Moon-Young;Cheol, Min-Byoung
    • Journal of the Earthquake Engineering Society of Korea
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    • v.7 no.4
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    • pp.1-13
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    • 2003
  • For spatial free vibration of non-symmetric thin-walled curved beams with shear deformation, an improved formulation is proposed in the present study. The elastic strain and the kinetic energies are first derived by considering constant curvature and shear deformation effects due to shear forces and restrained warping torsion. Next equilibrium equations and force-deformation relations are obtained using a stationary condition of total potential energy. And the finite element procedures are developed by using isoparametric curved beam element with arbitray thin-walled sections. Particularly not only shear deformation and thickness-curvature effects on vibration behaviors of curved beams but also mode transition and crossover phenomena with change in curvatures of beams are parametrically investigated. In order to illustrate the accuracy and the reliability of this study, various numerical solutions for spatial free vibration are compared with results by available references and ABAQUS's shell element.