• Title/Summary/Keyword: 변위장

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Lateral-Torsional Post-Buckling Analyses of Thin-Walled Space Frames with Non-symmetric Sections (비대칭단면을 갖는 박벽 공간뼈대구조의 횡-비틂 후좌굴 유한요소해석)

  • Park, Hyo Gi;Kim, Sung Bo;Kim, Moon Young;Chang, Sung Pil
    • Journal of Korean Society of Steel Construction
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    • v.11 no.2 s.39
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    • pp.153-165
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    • 1999
  • In order to trace the lateral-torsional post-bucking behaviors of thin-walled space frames with non-symmetric cross sections, a geometrically non-linear finite element formulation is presented by applying incremental equilibrium equations based on the updated Lagrangian formulation and introducing Vlasov's assumption. The improved displacement field for non-symmetric thin-walled cross sections is introduced based on inclusion of second order terms of finite rotations, and the potential energy corresponding to the semitangential rotations and moments is consistently derived. For finite element analysis, tangent stiffness matrices of thin-walled space frame element are derived by using the Hermition polynomials as shape functions. A co-rotational formulation in order to evaluate the unbalanced loads is presented by separating the rigid body rotations and pure deformations from incremental displacements and evaluating the updated direction cosines and incremental member forces.

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A Study on Seismic Performance of High-Strength Steel(POSTEN60, POSTEN80) Pipe-Section Piers using 3-Dimensional Elastic-Plastic Finite Deformation Analysis (3차원 탄소성 유한변위해석을 이용한 고강도(POSTEN60, POSTEN80) 원형강교각의 내진성능에 관한 연구)

  • Chang, Kyong-Ho;Jang, Gab-Chul;Kang, Jae-Hoon
    • Journal of the Earthquake Engineering Society of Korea
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    • v.8 no.6 s.40
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    • pp.45-54
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    • 2004
  • Recently, as steel structures become higher and more long-spanned, application of high-strength steels is increasing gradually. For seismic design of steel structures using high-strength steels(POSTEN60, POSTEN80), analytical method, can describe the large deformation and inelastic cyclic behavior generated by non-proportional cyclic loading, are required. In this paper, cyclic plasticity model was proposed by results of monotonic loading tests ant cyclic loading tests. Three-dimensional finite element analysis is developed by using proposed model and finite deformation theory and verified as compare with experiment result. Using 3-dimensional elastic-plastic finite deformation analysis, seismic analysis of high-strength steel pipe-section piers are carried out. Also, seismic performance of high-strength steel pipe-section piers in parameter of diameter-thickness ratio was clarified.

Geometrically Non-Linear Analysis of Space Frames Considering Finite Rotations (유한회전을 고려한 공간뼈대의 기하학적 비선형해석)

  • Chu, Seok Beom
    • Journal of Korean Society of Steel Construction
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    • v.9 no.1 s.30
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    • pp.81-94
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    • 1997
  • 본 연구에서는 유한 회전에 의한 효과를 고려한 곡선 보요소를 개발하고, 이 요소를 이용하여 공간뼈대 구조물의 기하학적 비선형 해석을 수행하였다. 이 곡선 보요소는 증분 변위장에 Rodriguez의 2차 유한 회전항을 포함시킴으로써, 유한 회전에 의한 기하학적 평형을 유지하도록 하였다. 대변형 해석을 위하여 Total Lagrangian 방법이 적용되었으며, 비선형 해석을 수행하기 위한 알고리즘으로는, 여러개의 임계점을 갖는 비선형 거동가지도 추적할 수 있도록 하중 및 변위 증분의 조합법이 사용되었다. 공간 뼈대 구조물의 해석 예제를 통하여, 기하학적 비선형 해석에서 발생하는 유한 회전에 의한 효과를 확인하고, 본 연구에서 제안한 유한요소의 효율성 및 비선형 알고리즘으로 선택한 하중 및 변위 증분의 조합법의 적용성을 입증하였다.

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p-Convergent Transition Element for Analysis of Cracked Laminate Plates with patch Repairs (팻취보강된 균열적층판 해석을 위한 p-수렴 천이요소)

  • Yang, Seung-Ho;Woo, Kwang-Sung;Shin, Young-Sik;Yi, Dong-Woo
    • Proceedings of the Computational Structural Engineering Institute Conference
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    • 2010.04a
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    • pp.314-317
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    • 2010
  • 본 논문에서는 p-수렴 천이요소의 층별이론을 사용하여 균열을 갖는 적층판의 팻취보강 효과에 대해 알아보았다. 이 모델의 면내 변위는 각 구간별로 연속인 선형변화로 가정하였고, 두께방향으로의 면외 변위는 일정한 상수로 가정하여 적용하였다. 변위장의 정의는 적분형 르장드로 다항식을 적용하였다. 또한 에너지 방출률법과 VCCT 방법을 사용하여 응력확대계수를 산출하였다. 수치적분은 별도의 외삽법 없이 각층별의 절점에서 방생하는 적분 값을 바로 얻을 수 있는 가우스-로바토 적분법을 사용하여 계산하였으며, 수치예제를 통해 제안된 모델의 정확도와 기존의 3차원 고체요소를 사용한 것보다 동일한 정확도를 얻기 위해 휠씬 적은 요소 및 자유도가 사용됨을 알 수 있었다.

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Measurement of Absolute Displacement-Amplitude of Ultrasonic Wave Using Piezo-Electric Detection Method (압전형 수신 기법을 이용한 초음파 절대변위진폭 측정)

  • Park, Seong-Hyun;Kim, Jongbeom;Jhang, Kyung-Young
    • Journal of the Korean Society for Nondestructive Testing
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    • v.37 no.1
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    • pp.7-12
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    • 2017
  • A nonlinear ultrasonic parameter is defined by the ratio of displacement amplitude of the fundamental frequency component to that of the second-order harmonic frequency component. In this study, the ultrasonic displacement amplitude of an SUS316 specimen was measured via a piezo-electric-based method to identify the validity of piezo-electric detection method. For comparison, the ultrasonic displacement was also determined via a laser-based Fabry-Pérot interferometer. The experimental results for both measurements were in good agreement. Additionally, the stability of the repeated test results from the piezo-electric method exceeded that of the laser-interferometric method. This result indicated that the piezo-electric detection method can be utilized to measure a nonlinear ultrasonic parameter due to its excellent stability although it involves a complicated process.

Papers : Snap - through Phenomena on Nonlinear Thermopiezoelastic Behavior of Piezolaminated Plates (논문 : 압전적층판의 비선형 열압전탄성 거동에서의 스냅 - 스루 현상)

  • O,Il-Gwon;Sin,Won-Ho;Lee,In
    • Journal of the Korean Society for Aeronautical & Space Sciences
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    • v.30 no.1
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    • pp.36-43
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    • 2002
  • Thermopiezoelastic snap-through phenomena of piezolaminated plates are investigated by applying an are-length scheme to Newton-Raphson method. Based on the layerwise displacement theory and von Karman strain-displacement relationships, nonlinear finite element formulations are derived for the thermopiezoelastic composite plates. From the static and dynamic viewpoint, nonlinear thermopierzoelastic behavior and vibration characteristicx are stuied for symmetric and eccentric structural models with various piezoelestric actuation modes. Present results show the possibility to enhance the performance, namely thermopiezoelastic snapping, induced by the excessive piezoelectric actuation in the active suppression of thermally buckled large deflection piezolaminated paltes.

Postbuckling and Vibration Analysis of Cylindrical Composite Panel subject to Thermal Loads (열하중을 받는 복합적층 원통형 패널의 좌굴후 거동 및 진동해석)

  • Oh, Il-Kwon;Lee, In
    • Journal of the Korea Institute of Military Science and Technology
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    • v.2 no.2
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    • pp.148-156
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    • 1999
  • The thermal postbuckling and vibration characteristics of cylindrical composite panel subject to thermal loads are analyzed using finite elements. The von-Karman nonlinear displacement-strain relation based on the layerwise theory is applied to consider large deflections due to thermal loads. Cylindrical arc-length method is used to take into account the snapping phenomena. Thermal snapping and vibration characteristics are investigated for various structural parameters such as thickness ratio, shallowness angle and boundary conditions. The present results show that thermal snapping changes the mode shapes as well as static deformations.

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Stress and Displacement Fields of a Propagating Mode III Crack in Orthotropic Functionally Gradient Materials with Property Gradation Along Y Direction (Y방향을 따라 물성치구배를 갖는 직교이방성 함수구배 재료에서 전파하는 모드 III 균열의 응력장과 변위장)

  • Lee, Kwang-Ho
    • Journal of the Korean Society of Industry Convergence
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    • v.9 no.1
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    • pp.37-44
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    • 2006
  • Stress and displacement fields of a Mode III crack propagating along the normal to gradient in an orthotropic functionally gradient materials (OFGM), which has (1) an exponential variation of shear modulus and density, and (2) linear variation of shear modulus with a constant density, are derived. The equations of motion in OFGM are developed and solution to the displacement and stress fields for a propagating crack at constant speed though an asymptotic analysis. The first three terms in expansion of stress and displacement are derived to explicitly bring out the influence of nonhomogeneity. When the FGM constant ${\zeta}$ is zero or $r{\rightarrow}0$, the fields for OFGM are almost same as the those for homogeneous orthotropic material. Using the stress components, the effects of nonhomogeneity on stress components are discussed.

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Load Transfer of Ground Anchors in Clay (점토지반에 설치된 앵커의 하중전이에 관한 연구)

  • Kim, Nak-Kyung
    • Journal of the Korean Geotechnical Society
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    • v.16 no.3
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    • pp.145-155
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    • 2000
  • 지반과 구조물을 일체화시키는데 사용하는 앵커는 앵커체와 지반의 마찰력에 의해서 구조물을 지지하는 역할을 하며 앵커의 하중과 변형의 관계를 규명하기 위해서는 앵커의 마찰력 분포의 변화(하중전이)가 중요한 요소가 된다. 하중 재하시 앵커체에 발생하는 하중전이 분포는 앵커의 인발 지지력과 밀접한 관계가 있고 정착장의길이, 지반 조건 등에 따라 분포 양상이 변하기 때문에 하중 정이를 이해하기 위해서는 강선과 그라우트의 하중분포 그리로 앵커 그라우트체와 지반과의 마착력 분포를 알아야 한다. 본 연구는 미국 Texax A&M University의 점성토지반에 계측기가 장착된 10개의 그라운드 앵커를 설치하여 인발시험을 수행하였다. 앵커의 자유장 강선에 작용하는 응력, 그라우트체에 작용하는 응력, 그리고 정착장 강선의 응력을 계측하여 강선과 그라우트의 정착응력 및 그라우트와 지반에서의 마찰력 분포를 구함으로써 강선-그라우트-지반의 복합적인 거동에 따른 각 하중 단계마다의 하중전이를 얻어냈다. 또한 현장시험 결과의 역해석을 통하여 강선과 그라우트 사이의 하중과 변위의 관계와 그라우트와 지반의 하중-변위 관계를 분석하여 그라운드 앵커의 인발 특성을 예측 할 수 있는 수치해석 기법을 모델링하여 제시하였다.

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Stress and Displacement Fields for a Propagating Crack in a Linear Functionally Gradient Material Along X Direction (X방향을 따라 선형적 함수구배인 재료에서 전파하는 균열의 응력장과 변위장)

  • Lee, Gwang-Ho;Jo, Sang-Bong
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.26 no.9
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    • pp.1753-1763
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    • 2002
  • Stress and displacement fields for a propagating crack in a functionally gradient material (FGM) which has shear modulus as $\mu$=$\mu$$\_$0/(1+ζX) are derived. The equations of motion in FGM which is nonhomogeneous material are different from those of homogeneous material. The stress intensity factors in stress fields have influence on odd terms of γ$\^$n/2-1/(n=1,3,5,...,) but stress at crack tip only retains term of γ$\^$-1/2/, where the γ is a radius of cylindrical coordinates centered at crack tip. When the FGM constant ζ is zero or γ→0, the fields for FGM are almost same as the those for isotropic material.