• Title/Summary/Keyword: 단면 해석

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Free Vibrations of Linearly Tapered I-Beams (선형(線形) 변단면(變斷面) I-형(型) 부재(部材)의 자유진동(自由振動))

  • Lee, Yong Woo;Min, Kyung Ju
    • KSCE Journal of Civil and Environmental Engineering Research
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    • v.14 no.5
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    • pp.1023-1031
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    • 1994
  • The closed forms of consistent mass matrix with rotational inertia matrix are developed for free vibration analysis in space sutructures containing linearly tapered members with cross section of thin-walled I-sections. The exact displacement functions are used for formulating mass matrices. The very small slopes of the tapered member are used in usual practice, such that the series expansion forms of these are also developed to avoid numerical failure in vibration analysis. Significant improvements of accuracy and efficiency of free vibation analysis are achieved by using the mass matrices developed in this study. Frequencies of free vibation of tapered members are compared with solutions based upon stepped representation of beam element in the ANSYS. The mass matrices presented in this study can be used for the free vibration analysis of tapered and prismatic members.

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Blade Analysis Library Development of Dimension Reducible Modeling and Recovery Analysis for Composite Rotor Blades (복합재 로터 블레이드의 차원축소와 복원해석을 위한 블레이드 해석 라이브러리 개발)

  • Jang, Jun Hwan;Lee, Hwan
    • Journal of the Korean Society for Aeronautical & Space Sciences
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    • v.43 no.10
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    • pp.920-927
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    • 2015
  • In this paper, numerical results of sectional analysis and stress recovery were compared with the results of VABS through the blade analysis library. The results of recovery analysis for one-dimensional model including the stiffness matrix is compared with the calculated three-dimensional stress results of three-dimensionial FEM based on the principle of virtual work. We discuss the configuration of the blade analysis library and compare verifications of numerical analysis results of VABS. Blade analysis library through dimensional reduction and stress recovery is intended to be utilized in conjunction with pre- and post-processing of the analysis program of the composite blade, high-altitude uav's wing, wind blades and tilt rotor blade.

Non-Prismatic Beam Element for Nonlinear Seismic Analysis of Steel Moment Frames II: Verification of Model (강재 모멘트 골조의 비선형 지진 해석을 위한 부등단면 보 요소 II: 모델의 검증)

  • Hwang, Byoung-Kuk;Cheon, Chung-Ha;Kim, Kee-Dong;Ko, Man-Gi
    • Journal of the Korean Society of Hazard Mitigation
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    • v.7 no.5
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    • pp.37-46
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    • 2007
  • This is the second of two companion papers that describe non-prismatic beam element for nonlinear seismic analysis of steel moment frames. Described in a companion paper is the formulation of a non-prismatic beam element to model the elastic and inelastic behavior of steel beams, which have reduced beam sections(RBS). This study describes the determination of yield surfaces, stiffness parameters, and hardening (or softening) rule parameters for RBS beam element. Analytical results of the RBS beam element show good correlation with test data and Finite Element Method(FEM) results.

Optimum Design of Plane Steel Frames Using Second-Order Inelastic Analysis and Section Increment Method (2차 비탄성해석과 단면점증법을 이용한 평면 강골조 구조물의 최적설계)

  • Choi, Se-Hyu
    • Journal of the Korea institute for structural maintenance and inspection
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    • v.12 no.5
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    • pp.143-151
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    • 2008
  • In this paper, the optimum design of plane steel frames using second-order inelastic analysis and section increment method is presented. Since the second-order inelastic analysis accounts for geometric and material nonlinearities of the whole system as well as its component members, the design method based on second-order inelastic analysis does not require separate member capacity checks after analysis. A section increment method proposed by this paper is used as optimization technique. The weight of structures is treated as the objective function. The constraint functions are defined by load-carrying capacities, deflections, inter-story drifts, and ductility requirement. The effectiveness of the proposed method are verified by comparing the results of the proposed method with those of other method.

Structural Analysis of Thin-walled Composite Blades with Multi-cell (다중 셀 단면을 갖는 박판 복합재료 블레이드의 구조해석에 관한 연구)

  • 정성남;이주영;박일주
    • Proceedings of the Computational Structural Engineering Institute Conference
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    • 2002.04a
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    • pp.512-519
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    • 2002
  • 본 연구에서는 임의의 형상의 다중세포 단면을 갖는 복합재료 블레이드에 대한 유한요소 구조해석을 수행하였다. 보 해석 모델은 구조연성 효과와 단면 벽의 두께, 횡 전단변형, 비틀림과 연관된 워핑 및 워핑구속효과 등을 고려하고 있다. 블레이드 힘-변위 관계식은 Reissner의 반복족에너지 함수를 이용한 혼합이론을 적용하여 유도하였다. 이 관계식은 굽힘 및 전단에 대해서는 Timoshenko 보의 형태로 그리고 비틀림 변형은 Vlasov 이론으로 근사하고 있다. 결과적인 [7×7] 구조강성 행렬은 전단변형 및 전단강성계수들을 특이한 가정에 의존하지 않고도 해석적으로 기술하고 있다. 본 정식화 과정을 통해서 구한 보 이론을 이중세포로 구성된 에어포일 형상의 복합재료 블레이드에 적용하였으며, 기존의 실험 연구 및 다차원 유한요소해석 결과들과 비교 연구를 수행하여 본 해석모델의 타당성을 보이고자 하였다.

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Analytical Study for Improving the Fire Resistance of Composite Beam depend on Section Change (합성보의 단면변경을 통한 내화성능 향상에 관한 해석 연구)

  • Park, Soo-Young;Kim, Hyung-Jun;Hong, Kap-Pyo
    • Fire Science and Engineering
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    • v.25 no.2
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    • pp.80-87
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    • 2011
  • On the result of load-bearing fire test to confirm the fire resistance of a composit beam, if the composit beam has lower fire resistance than required standard, it can be improved by section change. But if there are many types of section change, it takes much time and cost owing to conducting many tests. On this study, it was confirmed which part of the asymmetric H-section composit beam affected most on fire resistance by heat-transfer analysis. Then, we checked the tendency of improving fire resistance depend on section change by heat-transfer and non-linear structural analysis and suggested a changed section having 1-hour fire resistance.

Nonlinear Finite Element Analysis of Reinforced Concrete Column using Timoshenko Beam Theory and Fiber Section Model (Timoshenko보 이론 및 층상화 단면모델을 이용한 RC 기둥의 비선형 유한요소해석)

  • Park, Soon Eung;Park, Moon Ho;Kwon, Min Ho
    • KSCE Journal of Civil and Environmental Engineering Research
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    • v.26 no.4A
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    • pp.577-585
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    • 2006
  • In this research, nonlinear Timoshenko beam element that is able to capture nonlinear shear deformation is developed. The proposed model shows more reasonable prediction than Bernoulli beam theory in short columns or strong shear column due to the consideration of shear deformation. The cross-section is modeled as fiber approach. Since the model is based on the fiber approach for section discretization, the plastic progress of the section can be traced and the coupling effect of the axial and flexural response. The developed element is implemented into the finite element program to analysis general reinforced concrete structures. As parametric study, reinforced concrete columns are analyzed and compared with experimental results, analyzed the property of behavior for reinforced concrete columns.

Material and Geometric Nonlinear Analysis of Plane Structure Using Co-rotational Fiber-section Beam Elements (동시회전의 화이버 단면 보 요소를 이용한 평면 구조물의 재료 및 기하 비선형 해석)

  • Kim, Jeongsoo;Kim, Moon Kyum
    • Journal of the Computational Structural Engineering Institute of Korea
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    • v.30 no.3
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    • pp.255-263
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    • 2017
  • This paper presents a beam element capable of conducting material and geometric nonlinear analysis for applications requiring the ultimate behavioral analysis of structures with composite cross-sections. The element formulation is based on co-rotational kinematics to simulate geometrically nonlinear behaviors, and it uses the fiber section method to calculate the stiffness and internal forces of the element. The proposed element was implemented using an in-house numerical program in which an arc-length method was adopted to trace severe nonlinear responses(such as snap-through or snapback), as well as ductile behavior after the peak load. To verify the proposed method of element formulation and the accuracy of the program that was used to employ the element, several numerical studies were conducted and the results from these numerical models were compared with those of three-dimensional continuum models and previous studies, to demonstrate the accuracy and computational efficiency of the element. Additionally, by evaluating an example case of a frame structure with a composite member, the effects of differences between composite material properties such as the elastic modulus ratio and strength ratio were analyzed. It was found that increasing the elastic modulus of the external layer of a composite cross-section caused quasi-brittle behavior, while similar responses of the composite structure to those of homogeneous and linear materials were shown to increase the yield strength of the external layer.

Critical Loads and Post-Buckling Behaviour of Simply Supported Tapered Columns (단순지지(單純支持) 변단면(變斷面) 기둥의 임계하중(臨界荷重) 및 후좌굴(後挫屈) 거동(擧動))

  • Lee, Byoung Koo;Oh, Sang Jin;Mo, Jeong Man
    • KSCE Journal of Civil and Environmental Engineering Research
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    • v.11 no.4
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    • pp.17-26
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    • 1991
  • Numerical methods are developed to obtain the critical loads and to analyze the post-buckling behaviour of the linearly varying tapered columns. The non-dimensional differential equations governing the elastica of post buckled column are derived by third order and solved numerically using the Runge-Kutta method and Regula-Falsi method. Three kinds of cross-sectional shape with simply supported end constraint are applied in unmerical examples. As the numerical results, the equlibrium paths. the typical elastica of post buckled columns and the critical load vs. section ratio curves are presented in figures. Also, the effects of cross-sectional shape factor on critical loads and postbuckling behaviour are presented in tables.

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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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