• Title/Summary/Keyword: 비선형탄성이론

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Contact Pressure around the Buried Rigid pipe under Embankment (성토하에 매설된 강성관의 접촉응륜력)

  • 안중선;강병희
    • Geotechnical Engineering
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    • v.1 no.2
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    • pp.7-16
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    • 1985
  • The behaviour of buried rigid pipe under embankment is analysed by a linear finite element program to study the influence of variation of the geometry of soil-conduit pipe system and elastic modulus of soil on the pipe response. The geometry of the system considered includes the thickness of pipe, the height of embankment, and the width arid the depth of trench. The normal contact pressure distribution around the pipe and the vertical load on the pipe are modelled by a multiple linear regression. And the vertical load on the pipe computed by Marston-Spangles Theory Is generally larger than that by finite element analysis. The settiement ratio in Marston-Spangler Theory is found to be variable for various for various of all factors mentioned above.

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Nonlinear Analysis of Prestressed Concrete Box Girder Bridges Using Macro Element (매크로요소를 이용한 프리스트레스트 콘크리트 박스거더 교량의 비선형 해석)

  • Oh, Byung-Hwan;Lee, Myung-Kue
    • Magazine of the Korea Concrete Institute
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    • v.11 no.1
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    • pp.77-87
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    • 1999
  • The conventional design of prestressed concrete box girder bridges has been based on the linear elastic analyses using simplified geometric models. To overcome the restriction involved in the simplifications, a macro element for the rational analysis of prestressed concrete box girder bridges with variable cross sections is incorporated in the present analysis. Through the adoption of nonlinear material models, the behaviour of prestressed box bridges up to ultimate loading stage can be examined. The time dependent material models included in the present macro element code enable to predict the long term behaviour of prestressed concrete box girder bridges. The proposed macro element code with the nonlinear material models and time dependent routines can be efficiently used for the realistic analysis of prestressed concrete box girder bridges with arbitrary shapes.

Static Non-linear Finite Element Analysis of Spatial Cable Networks (3차원 케이블망의 초기평형상태 결정 및 정적 비선형 유한요소해석)

  • 김문영;김남일;안상섭
    • Computational Structural Engineering
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    • v.11 no.1
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    • pp.179-190
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    • 1998
  • A geometrically nonlinear finite element formulation of spatial cable networks is presented using two cable elements. Firstly, derivation procedures of tangent stiffness and mass matrices for the space truss element and the elastic catenary cable element are summarized. The load incremental method based on Newton-Raphson iteration method and the dynamic relaxation method are presented in order to determine the initial static state of cable nets subjected to self-weights and support motions. Furthermore, static non-linear analysis of cable structures under additional live loads are performed based on the initial configuration. Challenging example problems are presented and discussed in order to demonstrate the feasibility of the present finite element method and investigate static nonlinear behaviors of cable nets.

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Development of Multi Layered Elastic Pavement Analysis Program Package Considering Temperature Nonlinearty of Asphalt Layer on GUI Environment (아스팔트층 온도 비선형성을 고려한 사용자 편의환경의 다층탄성 프로그램 개발)

  • Choi, Jun-Seong;Seo, Joo-Won;Park, Keun-Bo;Kim, Soo-Il
    • International Journal of Highway Engineering
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    • v.10 no.4
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    • pp.91-101
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    • 2008
  • A multi layered elastic analysis program, IDYSPAP, was developed. The objective of this study was to develop the IDYSPAP program on Graphic User Interface environment for field engineers using Visual Basic, which was considered span of multi-wheels and maximum 4 axles using superposition of linear elastic theorem. It is suggested that this study considers algorithm with dynamic properties of asphalt layer on various temperature and non-linear properties of subbase and subgrade on stress non-linearity for asphalt pavement structure. This Program was modified to divide asphalt layer automatically according to layer division concept. The developed program was verified with initial measuring data in test road sections of KEC (Korea Expressway Co.) using laboratory test results.

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Lamb Wave Technique for Ultrasonic Nonlinear Characterization in Elastic Plates (판재의 초음파 비선형 특성평가를 위한 Lamb Wave 기법)

  • Lee, Tae-Hun;Kim, Chung-Seok;Jhang, Kyung-Young
    • Journal of the Korean Society for Nondestructive Testing
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    • v.30 no.5
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    • pp.458-463
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    • 2010
  • Since the acoustic nonlinearity is sensitive to the minute variation of material properties, the nonlinear ultrasonic technique(NUT) has been considered as a promising method to evaluate the material degradation or fatigue. However, there are certain limitations to apply the conventional NUT using the bulk wave to thin plates. In case of plates, the use of Lamb wave can be considered, however, the propagation characteristics of Lamb wave are completely different with the bulk wave, and thus the separate study for the nonlinearity of Lamb wave is required. For this work, this paper analyzed first the conditions of mode pair suitable for the practical application as well as for the cumulative propagation of quadratic harmonic frequency and summarized the result in for conditions; (1) phase matching, (2) non-zero power flux, (3) group velocity matching, and (4) non-zero out-of-plane displacement. Experimental results in aluminum plates showed that the amplitude of the secondary Lamb wave and nonlinear parameter growed up with increasing propagation distance at the mode pair satisfying the above all conditions and that the ration of nonlinear parameters measured in Al6061-T6 and Al1100-H15 was closed to the ratio of the absolute nonlinear parameters.

Buckling oad and Post-buckling Behavior of Tapered Column with Constant Volume and Both Clamped Ends (일정체적 양단고정 변단면 기둥의 좌굴하중 및 후좌굴 거동)

  • 이병구
    • Magazine of the Korean Society of Agricultural Engineers
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    • v.41 no.5
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    • pp.112-122
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    • 1999
  • 이 논문은 일정체적을 갖는 양단고정 변단면 기둥의 좌굴하중 및 후좌굴 거동에 관한 연구이다. 기둥의 변단면으로는 직선형, 포물선형, 정현의 선형을 갖는세 가지 변단면을 채택하였다. Bernoulli-Euler 보 이론을 이용하여 압축하중이 작용하여 좌굴된 기둥이 정확탄성곡선을 지배하는 미분방정식을 유도하였다. 유도된 미분방정식을 Runge-Kutta 법과 REgula-Falsi법을 이용하여 수치해석하였다. 수치해석의 결과로 좌굴하중, 좌굴기둥의 평형경로 및 정확탄성곡선을 산출하였다. 또한 좌굴하중-단면비 곡선으로부터 최강기둥의 좌굴하중과 단면비를 산출하였다.

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Free Vibration Analysis of Thermally Buckled Quasi-Isotropic Laminated Plates with Simply Supported Edges (열하중으로 좌굴된 단순 지지 준 등방성 적층판의 자유진동 해석)

  • 신동구
    • Computational Structural Engineering
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    • v.7 no.4
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    • pp.151-158
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    • 1994
  • The free vibrations of thermally buckled, simply supported, symmetrically laminated, rectangular, and quasi-isotropic plates are investigated. The nonlinear postbuckling analysis is performed by the finite element method based on the first order shear deformable plate theory with the use of von Karman type nonlinear strains and the Duhamel-Newman type constitutive law. The postbuckling solutions are used to obtain free vibration responses of buckled plates. Several numerical examples for quasi-isotropic laminated plates are considered. The effects of width-to-thickness ratios and aspect ratios on the free vibration characteristics of buckled plates are investigated.

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A Study on the Dynamic Strength Analysis of the Hull Girder Among Waves Considering Non-Linear Hydrodynamic forces (선박의 비선형 유체력을 고려한 파랑중 동적 강도 해석법에 관한 연구)

  • Ku-Kyun Shin;Sa-Soo Kim;Sung-Wan Son
    • Journal of the Society of Naval Architects of Korea
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    • v.29 no.4
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    • pp.152-172
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    • 1992
  • The ship sailing among waves are suffered the various wave loads that comes from its motion throughout its life. Because there are dynamic, the analysis of ship structure must be considered as the dynamic problem precisely. In the rationally-based design, the dynamic structural analysis is carried out using dynamic wave loads provided from the results of the ship mouton calculation as the rigid body. This method is based on the linear theory assumed low wave height and small amplitude of motion. But at the rough sea condition, high wave height, relatively ship's depth, is induced the large ship motion, so the ship section configulation below water line is rapidly changed at each time. This results in non-linear problem. Considering above situation in this paper, the strength analysis method is introduced for the hull glider among waves considering non-linear hydrodynamic forces. This paper considers that the overall or primary level of the ship structural dynamic loading and dynamic response provided from the non-linear wave forces, and bottom and bow flare impact forces estimated by momentum slamming theory, in which the ship is idealized as a hollow thin-walled box beam using thin-walled beam theory and the finite element method. This method is applied to 40,000 Ton Double-Skin Tanker and attention is paid to the influence of the response of ship speed, wave length and wave height compared with linear strip theory.

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Modeling and Applications for Contact Response of Figerpad (손끝 접촉반응의 모델링과 응용)

  • 권영하;한은경;강재식;이수민;박연규;강대임
    • Science of Emotion and Sensibility
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    • v.2 no.1
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    • pp.27-33
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    • 1999
  • 손끝으로 물건을 문지르거나 잡아 질감을 느끼는 경우 나타나는 현상을 Hertzian 접촉이론을 응용하여 수학적인 모델링을 하였다. 물체표면에 손끝이 접촉하여 눌러지게되면 변형이 일어나게 되고 변형된 모양과 정도에 따라 촉감을 느끼게 된다. 손끝은 비선형으로 변형되므로 누르는 변위에 따라 탄성계수 값이 변하는 현상을 실험을 통하여 확인하였으며 모델링한 식과 비교한 결과 유사한 경향을 보였다. 특히 손끝이 직물을 누르며 문지를 때 힘이 크기변화를 측정하여 질감표현과의 관계를 분석하였다.

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Development of Composite Theory and Computer Program for 3-D Layered System (3차원 층구조체의 복합해석 및 컴퓨터 프로그램의 개발)

  • Lim, Chong Kyun;Park, Moon Ho;Kim, Jin Kyu
    • KSCE Journal of Civil and Environmental Engineering Research
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    • v.14 no.1
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    • pp.39-48
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    • 1994
  • An equivalent homogeneous 3-D linear composite analysis and accomponying finite element program is presented for elastomeric bearings. This study is limited to the 3-D layered system with linear, elastic, isoparametric small deformation. And we used method of multiscale to model the 3-dimensional configurations and overall response of the layered elastomeric bearings with global and local coordinates. The primary dependent variables for the theory have been selected that require only $C_o$ continuity of the finite element analysis. As a result, it is very simple and computationally economical. The presented theory can also be applied easily to the analysis of nonlinear behavior of layered systems. And those of past are not applicable to nonlinear analysis, because it uses superposition theory. Numerical examples are presented to verify the theory and to illustrate potential applications of the analysis.

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