• Title/Summary/Keyword: 탄성경계

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Buckling Behavior of I-Beam with the Elastic Support (탄성 경계를 고려한 I형보의 좌굴 거동)

  • Kang, Young Jong;Lee, Gyu Sei;Lim, Nam Hyoung
    • Journal of Korean Society of Steel Construction
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    • v.11 no.2 s.39
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    • pp.201-212
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    • 1999
  • A beam supported by a flexible elastic support is commonly used as structural elements, e.g., braced beam, railway track, etc. The elastic support can be located in arbitrary point in the cross-section. This paper investigates the effects of support eccentricity on the elastic buckling of beams with elastic supports. The effects of stiffness of the elastic support are also studied. A beam element with elastic supports and the analysis program are developed for elastic buckling analysis using finite element formulation. The elastic support is modeled by elastic spring element. Using the offset technique, the eccentricity of support is taken into account. A beam element having 14 degrees of freedom including the warping degree of freedom is used. Various numerical example analyses show that the present formulation and analysis program accurately and effectively compute the buckling load and mode of beams with elastic supports.

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The bounds for the elasticity tensor components of cortical bone (치밀골의 탄성 텐서 요소 경계)

  • Yoon, Won-Sok;Yoon, Young-June
    • The Journal of Korea Institute of Information, Electronics, and Communication Technology
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    • v.5 no.1
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    • pp.52-59
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    • 2012
  • The bone material is a composite material consisted of collagen and mineral crystals. Also it shows transversely isotropic symmetry. So far none has shown that the components of the elasticity tensor satisfy the Voigt and Reuss bounds. To determine the effective elastic constant of bone material, the Voigt and Reuss bounds are employed and we show that the components of the elasticity tensor satisfy the Voigt and Reuss bounds. Mathematically this bounds are satisfied on two conditions only out of four conditions.

Geometrically Linear and Non-linear Analysis of Plates and Shells Resting on Arbitrary Elastic Edge Supports (임의의 탄성 경계 지점으로 지지된 판과 쉘의 기하학적 선형 및 비선형해석)

  • Lee, Won-Hong;Han, Sung-Cheon;Park, Weon-Tae
    • Journal of the Korean Society of Hazard Mitigation
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    • v.8 no.3
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    • pp.11-21
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    • 2008
  • A linear and non-linear analysis for plates and shells with arbitrary edge supports subjected to various loading was presented. The 9-node ANS(Assumed Natural Strain) hell element was employed and the spring element, which could express an arbitrary edge support using the six degrees of freedom, was introduced. For the application of his analysis, the plates and shells with various edge supports were analyzed, and the ending behavior with these edge supports were obtained accurately. For these edge supports, particularly elastic edge support was simulated by six springs and reasonable results were obtained. The results show that the present method can be widely used to analyze the bending behavior of plates and shells with arbitrary edge conditions.

Application and Improvement of Complex Frequency Shifted Perfectly Matched Layers for Elastic Wave Modeling in the Frequency-domain (주파수영역 탄성파모델링에 대한 CFS-PML경계조건의 적용 및 개선)

  • Son, Min-Kyung;Cho, Chang-Soo
    • Geophysics and Geophysical Exploration
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    • v.15 no.3
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    • pp.121-128
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    • 2012
  • Absorbing boundary conditions are used to mitigate undesired reflections that can arise at the model's truncation boundaries. We apply a complex frequency shifted perfectly matched layer (CFS-PML) to elastic wave modeling in the frequency domain. Modeling results show that the performance of our implementation is superior to other absorbing boundaries. We consider the coefficients of CFS-PML to be optimal when the kinetic energy becomes to the minimum, and propose the modified CFS-PML that has the CFS-PML coefficient ${\alpha}_{max}$ defined as a function of frequency. Results with CFS-PML and modified CFS-PML are significantly improved compared with those of the classical PML technique suffering from large spurious reflections at grazing incidence.

Three-Dimensional Finite Difference Analysis of Anisotropic Body with Arbitrary Boundary Conditions (임의의 경계조건을 갖는 비등방성 탄성체의 3차원 유한차분 해석)

  • Lee, Sang Youl;Yhim, Sung Soon;Chang, Suk Yoon
    • Journal of Korean Society of Steel Construction
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    • v.12 no.3 s.46
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    • pp.303-315
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    • 2000
  • The main object of this study is to analyze mechanical behaviors as anisotropic three-dimensional body under various static loads. This paper presents the applicability of the finite difference method to three dimensional problem of anisotropic body. The finite difference method as applied here is generalized to anisotropic three-dimensional problem of elastic body where the governing differential equations of equilibrium of such bodies are expressed in terms of the displacement u, v, and w in the coordinates axes x, y and z, care being taken to modify the finite difference expressions to satisfy the appropriate boundary conditions. By adopting a new three dimensional finite difference modelling including elimination of pivotal difference points in the case of free boundary condition, the three dimensional problem of anisotropic body was successfully completed. Several numerical results show quick convergence and numerical validity of finite difference technique in three dimensional problem.

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A Boundary Integral Approximation for Bending of Elastic Plates (탄성평판 굽힘문제를 위한 경계적분 근사해)

  • Kim, Jin Woo
    • Journal of the Korea Institute of Military Science and Technology
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    • v.5 no.4
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    • pp.57-66
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    • 2002
  • 본 연구는 굽힘 하중하에서 탄성평판 구조 해석을 위한 경계적분방법 구성을 주목적으로 하고 체계적인 모듈화시스템 개발의 첫 이론 부분을 확립하였다. 굽힘 문제에서의 4개의 고유변수인 처짐, 기울기, 굽힘모우멘트, 상당 전단력의 항으로 경계적분방정식을 구성하였다. 물리적인 의미를 갖는 두 새로운 핵함수 도입으로 구성된 이들 적분방정식은 경계요소 구성시 나타나는 특이거동의 문제점을 간단한 두 탄성해에 의해 정규화 시켰으며 수치 적분 과정도 Cauchy 주치 적분 수렴성에서의 특별취급과는 달리 효율적으로 일반화시켰다. 경계적분식의 수치해석방법을 서술하였으며 집중하중하의 비대칭문제의 근사수치해를 도시하였다.

Surface geophysical surveys the northern part of the Yongdong basin (Cretaceous), Korea (영동분지(백악기) 북부 지역에 대한 지표물리탐사)

  • Kim, Ji-Su;Han, Soo-Hyung;Rhee, Cheol-U;Kim, Bok-Cheol;Ryang, U-Heon
    • Journal of the Korean Geophysical Society
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    • v.5 no.4
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    • pp.329-336
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    • 2002
  • Electrical resistivity dipole-dipole, seismic refraction, and seismic reflection methods were performed to delineate the boundaries the Yongdong basin(Cretaceous) in terms of physical properties and to ultimately identify the margin architectures of the faults or unconformities. Higer resistivities (approximately >2000 ohm-m) most likely originate from the basement of the basin, contrasting with the lower resistivities from infilled sedimentary rocks. Faults at the eastern margin and unconformities at the western boundary are characterized as high-slope($70^{\circ}$) and gentle-slope($30^{\circ}$) gradients in the resistivity sections, respectively Such features for the boundaries are also suggested by the lower values of seismic velocity and resistivity for the western margin.

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A Study on the Modeling of a Passenger Car Cavity with consideration of Trunk Coupling Effect (트렁크 연성 효과를 고려한 차실 음향 모델링에 관한 연구)

  • 강상욱;이장무;김석현
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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    • 1994.10a
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    • pp.300-305
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    • 1994
  • 차실 음향 공동의 특성을 유한요소법에 의해 해석하고자 할 때, 과거에는 차실 음향공동과 트렁크 음향공동과의 상호연성을 고려하지 않고, 두 공동의 경계면을 강체 경계조건으로 생각하여 해석 대상 모델을 차실 음향 공동만으로 국한시켰다. 이러한 해석 방법을 통해서는, 차실과 트렁크 공동이 완전히 밀폐되어 있지 않고 단지 뒷좌석에 의해 두 공동이 구별되어지는 차종에 대해서는 실험과 근접하는 유한요소해석 결과를 얻을 수 없다. 그러므로 차실 공동과 트렁크 공동의 경계면을 가상의 탄성벽 경계조건으로 생각하여 그 탄성벽을 통한 두 공동의 상호 연성을 고려하는 유한요소 모델을 구현하여야 한다. 실제로 트렁크가 차실에 미치는 연성효과를 고려하여 유한요소해석을 수행할 경우 차실의 고유진동수와 고유모드에 미치는 영향이 상당히 큰 것을 확인할 수 있었다. 이하 본 내용에서는 차실과 트렁크 공동, 그 사이의 탄성벽을 이론적으로 해석 가능한 1차원으로 모델링하여 실험 결과와 근접하는 3차원 유한요소 모델링 기법을 제시한다.

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Boundary Element Analysis of Elastic-Viscoelastic Compound Structure (탄성-점탄성 복합구조체의 경계요소해석)

  • 이상순;김태형
    • Computational Structural Engineering
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    • v.8 no.2
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    • pp.147-151
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    • 1995
  • The time-domain boundary element analysis has been attempted for investigating the displacement and stress in an elastic-viscoelastic compound structure. The subdomain technique has been employed and the whole domain has been divided into two subdomains, which are respectively a homogeneous elastic zone and a homogeneous viscoelastic zone. The boundary element equation has been formulated using the equilibrium and continuity conditions at the common interface. The numerical results of example problem has been presented.

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Higher Order Axismmetric Boundary Element Analysis of Turbine Rotor Disk of the Small Turbojet Engine (고차 축대칭 경계 요소에 의한 소형 터보젯 엔진의 터빈 로우터 디스크 해석)

  • Kim, Jin-Woo
    • Journal of the Korea Institute of Military Science and Technology
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    • v.1 no.1
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    • pp.128-144
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    • 1998
  • The BEM for linear elastic stress analysis is applied to the highly rotating axisymmetric body problem which also involves the thermoelastic effects due to steady-state thermal conduction. The axisymmetric BEM formulation is briefly summarized and an alternative approach for transforming the volume integrals associated with such body force kernels into equivalent boundary integrals is described in a way of using the concept of inner product and vector identity. A discretization scheme for higher order BE is outlined for numerical treatment of the resulting boundary integral equations, and it is consequently illustrated by determining the stress distributions of the turbine rotor disk of the small turbojet engine(ADD 500) for which a FEM stress solution has been furnished by author.

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