• Title/Summary/Keyword: Out-of-Plane Deformation

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Higher Order Zig-Zag Theory for Composite Shell under Thermo-mechanical load (열, 기계 하중을 고려한 지그재그 고차 복합재 쉘 이론)

  • Oh Jin-Ho;Cho Maeng-Hyo
    • Proceedings of the Computational Structural Engineering Institute Conference
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    • 2005.04a
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    • pp.217-224
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    • 2005
  • A higher order zig-zag shell theory is developed to refine the predictions of the mechanical and thermal behaviors partially coupled. The in-plane displacement fields are constructed by superimposing linear zig-zag field to the smooth globally cubic varying field through the thickness. Smooth parabolic distribution through the thickness is assumed in the out-of-plane displacement in order to consider transverse normal deformation and stress. The layer-dependent degrees of freedom of displacement fields are expressed in terms of reference primary degrees of freedom by applying interface continuity conditions as well as bounding surface conditions of transverse shear stresses. Thus the proposed theory has only seven primary unknowns and they do not depend upon the number of layers. In the description of geometry and deformation of shell surface, all rigorous exact expressions are used. Through the numerical examples of partially coupled analysis, the accuracy and efficiency of the present theory are demonstrated. The present theory is suitable in the predictions of deformation and stresses of thick composite shell under mechanical and thermal loads combined.

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A Study on the Development of Image Processing Measurement System for Structural Analysis by Optical Non-contact Measurement (광학적 비접촉 측정에 의한 구조물 해석의 화상처리 계측 시스템 개발에 관한 연구)

  • Jang, Soon-Suck;Kim, Koung-Suk;Hong, Jin-Who;Choi, Ji-Eun;Kang, Ki-Soo;Kim, Dal-Woo
    • Journal of the Korean Society for Precision Engineering
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    • v.18 no.7
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    • pp.149-154
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    • 2001
  • This study discusses a non-contact optical technique, electronic speckle pattern interferometry(ESPI), that is well suited for a deformation measurement of structure. Phase shifting method and unwrapping method have used to make deformation quantitative widely. In this paper, a previous numerical formula for phase shifting method is reconstructed in addition to least square fitting method to improve sensitivity and phase unwrapping based on vertical-horizontal scanning method is applied to analyze in-plane and out-of-plane deformation quantitatively.

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Dynamic Characteristics of Composite Plates Based On a Higher Order Theory Under Low-Velocity Impact (저속 충격시 고차이론을 이용한 복합 재료 판의 동적 특성)

  • 심동진;김지환
    • Journal of KSNVE
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    • v.8 no.1
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    • pp.132-138
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    • 1998
  • The dynamic response of symmetric cross-ply and angle-ply composite laminated plates under impact loads is investigated using a higher order shear deformation theory. A modified Hertz law is used to predict the impact loads and a four node finite element is used to model the plate. By using a higer order shear deformation theory, the out-of-plane shear stresses, which can be a crucial factor in the failure of composite plates, are determined with significant accuracy. This is accomplished by using a stress recovery technique using the in-plane stresses. The results compared with previous investigations showed good agreement. It can be seen that this method of analyzing impact problems is more efficient than current three dimensional methods in terms of time and expense.

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A Study on Non-Axisymmetric Ring Forging Using UBET (UBET를 이용한 비축대칭 링 단조에 관한 연구)

  • 배원경;김영호;이종헌;이원희
    • Proceedings of the Korean Society for Technology of Plasticity Conference
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    • 1994.03a
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    • pp.63-70
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    • 1994
  • An upper bound elemental technique(UBET) is applied to predict forging load and die-cavity filling for non-axisymmetric ring forging. The finial product is divided into three different deformation regions. That is axisymmetric part in corner, lateral plane-strain part and shear deformation on boundaries between them. The plane-strain and axisymmetric part are combinded by building block method. Also the total energy is computered through combination of three deformation part. Experiments have been carried out with pure plasticine billets at room temperature. The theoretical predictions of the forging load and the flow pattern are in good agreement with the experimental results.

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A Study on the Non-Axisymmetric Closed-Die Ring Forging (비축대칭 형상의 밀폐형 링 단조에 관한 연구)

  • 배원병;김영호;이종헌;이원희
    • Transactions of Materials Processing
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    • v.3 no.2
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    • pp.202-214
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    • 1994
  • An upper bound elemental technique(UBET) is applied to predict the forging load and die-cavity filling for non-axisymmetric ring forging. In order to analyze the process easily, it is suggested that the finial product is divided into three different deformation regions. That is axisymmetric part in corner, lateral plane-strain part and shear deformation on boundaries between them. the place-strain and axisymmetric part are combinded by building block method. Also the total energy is computered through combination of three deformation part. Experiments have been carried out with pure plasticine billets at room temperature. The theoretical predictions of the forging load and the flow pattern are in good agreement with the experimental results.

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Isogeometric method based in-plane and out-of-plane free vibration analysis for Timoshenko curved beams

  • Liu, Hongliang;Zhu, Xuefeng;Yang, Dixiong
    • Structural Engineering and Mechanics
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    • v.59 no.3
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    • pp.503-526
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    • 2016
  • In-plane and out-of-plane free vibration analysis of Timoshenko curved beams is addressed based on the isogeometric method, and an effective scheme to avoid numerical locking in both of the two patterns is proposed in this paper. The isogeometric computational model takes into account the effects of shear deformation, rotary inertia and axis extensibility of curved beams, and is applicable for uniform circular beams, and more complicated variable curvature and cross-section beams as illustrated by numerical examples. Meanwhile, it is shown that, the $C^{p-1}$-continuous NURBS elements remarkably have higher accuracy than the finite elements with the same number of degrees of freedom. Nevertheless, for in-plane or out-of-plane vibration analysis of Timoshenko curved beams, the NURBS-based isogeometric method also exhibits locking effect to some extent. To eliminate numerical locking, the selective reduced one-point integration and $\bar{B}$ projection element based on stiffness ratio is devised to achieve locking free analysis for in-plane and out-of-plane models, respectively. The suggested integral schemes for moderately slender models obtain accurate results in both dominated and non-dominated regions of locking effect. Moreover, this strategy is effective for beam structures with different slenderness. Finally, the influence factors of structural parameters of curved beams on their natural frequency are scrutinized.

Deformation Measurement of Well Thinning Elbow by Using Shearography (전단간섭법을 이용한 감육 곡관부의 변형 계측)

  • Jung, Hyun-Chul;Kim, Koung-Suk;Chang, Ho-Sub;Jung, Sung-Wook;Kang, Ki-Soo
    • Journal of the Korean Society for Nondestructive Testing
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    • v.26 no.5
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    • pp.321-328
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    • 2006
  • In this study, the deformation oi wall thinning elbow is measured and the position of the internal thinning defect is found out by shearography. Shearography is an optical method which has applied to nondestructive testing (NDT) and the strain/stress and deformation analysis. This technique has the merit of the directly measuring the first derivative of displacement with sensitivity which can be adjusted by handling the tilt mirror in the interferometer. In this paper, we tested carbon steel pipe locally wall thinned and loaded internal pressure and the shearography was applied to measure the out-of-plane deformation of wall thinning elbow and to investigate the internal thinning defect of it. From the results, it was confirmed that this technique is proper to the practical application on the pipe line system with internal defect.

Semi-analytical Annular Mindlin Plate Element for Out-of-plane Vibration Analysis of Thick Disks (두꺼운 디스크의 면외 진동 해석을 위한 준-해석적 환상 민드린 평판 요소)

  • Kim, Chang-Boo;Cho, Hyeon Seok;Beom, Hyeon Gyu
    • Journal of the Korean Society for Railway
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    • v.15 no.6
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    • pp.588-596
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    • 2012
  • This paper presents a new semi-analytical annular Mindlin plate element with which out-of-plane natural vibration of thick disks can be analyzed simply, efficiently, and accurately through FEM by including effects of rotary inertia and transverse shear deformation. Using static deformation modes which are exact solutions of equilibrium equations of annular Mindlin plate, the element interpolation functions, stiffness and mass matrices corresponding to each number of nodal diameters are derived. The element is capable of representing out-of-plane rigid-body motions exactly and free from shear locking. Natural frequencies of uniform and multi-step disks with or without concentric ring support are analyzed by applying the presented element. Such results are compared with theoretical predictions of previous works or FEA results obtained by using two-dimensional shell element to investigate the convergence and accuracy of the presented element.

Study on the Out-of-Plane Deformation Measurement Condition through Comparison Photosensitivity (광감도 비교를 통한 면외 변형 측정 조건에 대한 연구)

  • Kim, Hyun Ho;Kang, Chan Geun;Lee, Hyun Jun;Jung, Hyun Chul;Kim, Kyeong Suk;Hong, Chung Ki
    • Journal of the Korean Society for Precision Engineering
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    • v.32 no.9
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    • pp.807-813
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    • 2015
  • In the present study, an interferometer system, which integrates the laser sensitivity control technique based on the theory of electronic speckle pattern interferometry, one of non-contact non-destructive analysis methods, was developed. This interferometry system receives an image from CCD cameras for each reference and object, and compares the photosensitivity of the object and reference images from imagification. For the purpose of this study, the photosensitivity of object and reference light is measured with power meters, and the amount of light was controlled with an ND filter with a reference light port matching photosensitivity. Using the plate specimen as the object, 0.6, 0.9, 1.2, and $1.5{\mu}m$ of out-plane deformation was made, and images were compared according to the difference in photosensitivity. After analysis, larger object deformations showed larger numbers of stripe patterns. Images became clearer and data error was reduced when the photosensitivity of object and reference light matched.