• Title/Summary/Keyword: 비선형 좌굴해석

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Study on Deriving the Buckling Knockdown Factor of a Common Bulkhead Propellant Tank (공통격벽 추진제 탱크 구조의 좌굴 Knockdown Factor 도출 연구)

  • Lee, Sook;Son, Taek-joon;Choi, Sang-Min;Bae, Jin-Hyo
    • Journal of the Korean Society of Propulsion Engineers
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    • v.26 no.3
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    • pp.10-21
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    • 2022
  • The propellant tank, which is a space launch vehicle structure, must have structural integrity as various static and dynamic loads are applied during ground transportation, launch standby, take-off and flight processes. Because of these characteristics, the propellant tank cylinder, the structural object of this study, has a thin thickness, so buckling due to compressive load is considered important in the cylinder design. However, the existing buckling design standards such as NASA and Europe are fairly conservative and do not reflect the latest design and manufacturing technologies. In this study, nonlinear buckling analysis is performed using various analysis models that reflect initial defects, and a method for establishing new buckling design standards for cylinder structures is presented. In conclusion, it was confirmed that an effective lightweight design of the cylinder structure for common bulkhead propulsion tank could be realized.

Buckling Analysis of Inelastic Steel Members (비탄성 강재 부재의 좌굴 해석)

  • Gil, Heung-Bae
    • Journal of Korean Society of Steel Construction
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    • v.12 no.1 s.44
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    • pp.29-43
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    • 2000
  • In this study, the computationally efficient inelastic buckling analysis program is developed to be used as the research tool in finding buckling strength of inelastic members. The program can determine buckling loads and buckled shapes of elastic and inelastic members which failed by flexural, lateral-torsional and/or local buckling. It can analyze singly and doubly symmetric I-shape members. In the program, the web of the member is modeled using the plate element and the flanges are modeled by beam elements. Multilinear isotropic hardening rule and the incremental theory of plasticity are used to simulate the inelastic stress-strain relationship from material tests. The program is verified using theoretical solutions and experimental results. The results from the program show good agreement with those from experiments and theory.

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Spatial Post-buckling Analysis of Thin-walled Space Frames based on the Corotational Formulation (대회전을 고려한 공간 박벽 뼈대구조물의 기하 비선형 후좌굴 거동 해석)

  • Lee, Kyoung Chan;Park, Jung Il;Kim, Sung Bo;Chang, Sung Pil
    • Journal of Korean Society of Steel Construction
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    • v.19 no.6
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    • pp.599-610
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    • 2007
  • In this paper, we described a co-rotational formulation for the geometrical nonlinear analysis of three-dimensional frames. We suggested a new concept called the Zero-Twist-Section Condition (ZTSC) to decide the element coordinate system consistently. According to the ZTSC procedure, it is possible to obtain an element coordinate system and natural deformations consistently when finite displacements and rotations are induced in an element. Based on the developed procedure, numerical examples are investigated to calculate natural rotations while finite displacements are imposed on an element. Also, the developed co-rotational procedure gives accurate results in the analysis of post-buckling problems with finite rotations.

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 Bifurcation Analysis of Space Structures by Using 3D Beam-Column Element Considering Finite Deformations and Bowing Effect (유한변형과 굽힘효과가 고려된 3차원 보-기둥요소에 의한 공간구조물의 분기좌굴해석)

  • Lee, Kyung-Soo;Han, Sang-Eul
    • Journal of the Computational Structural Engineering Institute of Korea
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    • v.22 no.4
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    • pp.307-314
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    • 2009
  • The present paper briefly describes the space frame element and the fundamental strategies in computational elastic bifurcation theory of geometrically nonlinear, single load parameter conservative elastic spatial structures. A method for large deformation(rotation) analysis of space frame is based on an eulerian formulation, which takes into consideration the effects of large joint translations and rotations with finite deformation(rotation). The local member force-deformation relationships are based on the beam-column approach, and the change in member chord lengths caused by axial strain and flexural bowing are taken into account. and the derived geometric stiffness matrix is unsymmetric because of the fact that finite rotations are not commutative under addition. To detect the singular point such as bifurcation point, an iterative pin-pointing algorithm is proposed. And the path switching mode for bifurcation path is based on the non-negative eigen-value and it's corresponding eigen-vector. Some numerical examples for bifurcation analysis are carried out for a plane frame, plane circular arch and space dome structures are described.

Minimum Weight Design of Stiffened Laminated Composite Flat Panel (복합적층 평패널의 최소중량화설계)

  • 원종진;이종선;윤희중;홍석주
    • Journal of the Korea Academia-Industrial cooperation Society
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    • v.4 no.3
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    • pp.159-163
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    • 2003
  • This study is object to minimum weight design of stiffened laminated composite flat panel. Various buckling load factors are obtained for stiffened laminated composite flat panels with rectangular type longitudinal stiffeners and various aspect ratios, which are made from Carbon/Epoxy USN150 prepreg and are simply-supported on four edges under uniaxial compression.

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Dynamic bucking of orthotropic cylindrical shells (직교이방성 원통쉘의 동적좌굴)

  • Lu, Sung Y.;Kim, Chon w
    • Transactions of the Korean Society of Mechanical Engineers
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    • v.5 no.4
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    • pp.266-273
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    • 1981
  • 갑자기 작용하는 외압을 받는 직교이방성원통쉘의 동적좌굴을 해석하였다. Donnell-Karnam 형의 비선형방정식을 유도하였으며 쉘의 초기불완전성도 고려하였다. Galerkin의 방법을 사용하여 운동방정식을 구하고 Runge-Kutta 수직해법으로 비선형방정식을 풀었다. 쉘의 직교이방성특성이 처짐-하중 관계식의 비선형성에 미치는 영향을 검토하였으며 동적산출하중의 판별법을 정의하였다. 본 연구의 결과, 직교이방성원통쉘은 쉘의 초기불완전성에 그리 민감하지 않음을 보여주었다.

Buckling Analysis of Thin-Walled Curved Members by Finite Element Method (유한요소법에 의한 박판곡선부채의 좌굴해석)

  • Lee, Sung Chul
    • KSCE Journal of Civil and Environmental Engineering Research
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    • v.11 no.2
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    • pp.1-14
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    • 1991
  • A computer program for the linear elastic buckling anlalysis of thin walled members is developed using a 3-node triangular shell element. The element has real stiffness value for a kinematic degree of freedom associated with rotation about the surface normal at each node. The validity of the present computer program is demonstrated through the plate buckling analysis and the lateral-torsional buckling analysis of a straight beam. Then, simply supported circular arches subjected to uniform bending are analyzed and the results are compared with existing solutions.

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Thermal Buckling and Vibration Analysis of Composite Laminated Plates Using Shape Memory Alloy Fibers (형상기억합금 선을 삽입한 복합재료 적층판의 열적 좌굴 및 진동 해석)

  • 박재상;김지환
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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    • 2001.11b
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    • pp.916-921
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    • 2001
  • 형상기억합금 선(Shape Memory Alloy Fibers : SMA Fibers)을 삽입한 복합재료 평판의 고온 환경에서의 열적 좌굴 및 진동 해석을 유한요소법을 이용하여 수행하였다 1 차 전단변형이론을 적용하여 적층판을 모델링하였고, 온도 변화 효과는 적층판의 전 영역에서 균일한 온도 분포로 가정하였다. 형상기억합금 선의 온도에 대한 비선형 재료 성질을 고려하여 열적 좌굴 해석 수행 시 반복 계산법을 이용하였고, 자유 진동 해석에서는 시스템의 자유도를 줄이기 위하여 Guyan-Reduction(CR)을 사용하였다. 온도 변화와 형상기억합금 선의 체적비(volume fraction) 및 초기 변형률(initial strain) 변화에 따른 임계 온도와 고유 진동수의 특성을 해석하였다.

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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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