• 제목/요약/키워드: Postbuckling analysis

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다양한 두께비와 세장비를 고려한 복합재 원통 구조의 좌굴 Knockdown factor의 도출 (Derivations of Buckling Knockdown Factors for Composite Cylinders Considering Various Shell Thickness Ratios and Slenderness Ratios)

  • 김도영;심창훈;김한일;박재상;유준태;윤영하;이기주
    • 한국항공우주학회지
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    • 제49권4호
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    • pp.321-328
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    • 2021
  • 본 연구에서는 우주 발사체의 복합재 추진제 탱크 구조의 경량 설계를 위하여 좌굴 Knockdown factor를 ABAQUS를 이용한 수치해석 기반으로 새롭게 도출하였다. 복합재 원통 구조의 다양한 두께비(R/t)와 세장비(L/R)를 적절히 고려하였으며, 기하학적 초기 결함을 Single Perturbation Load Approach를 이용하여 구현하였다. 두께비 = 500 및 세장비 = 2.04를 갖는 복합재 원통 구조의 모델의 경우, NASA의 기존 좌굴 설계 기준보다 약 84.38%만큼 좌굴 Knockdown factor가 높게 도출되어 본 연구의 좌굴 설계 기준을 이용할 경우 복합재 추진제 탱크의 경량 구조 설계가 가능함을 확인하였다. 더불어, 복합재 원통 구조의 두께비와 세장비가 각각 증가함에 따라 전역 좌굴 하중과 좌굴 Knockdown factor가 모두 감소하는 경향을 알 수 있었다.

강곡선 플레이트거더 복부판의 중간수직보강재 소요강성에 관한 연구 (The Rigidity of Transverse Intermediate Stiffener of Horizontally Curved Plate Girder Web Panels)

  • 이두성;박찬식;이성철
    • 대한토목학회논문집
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    • 제26권4A호
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    • pp.735-742
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    • 2006
  • 실 설계에서 적용되는 강곡선 플레이트거더교의 기하학적인 설계범위 내에서 횡방향변형이 충분히 지지된 강곡선 플레이트거더 복부판의 극한전단강도는 비록 직선복부판에 비해 후좌굴강도는 감소할지라도 탄성좌굴강도가 상대적으로 증가한다. 또한 강곡선 플레이트거더 복부판의 극한전단강도는 후좌굴강도를 포함한 직선플레이트거더 복부판의 극한전단강도와 같은 크기를 발현하고 있음이 여러 연구를 통해서 입증되었다. 본 연구에서는 강곡선 플레이트거더 복부판이 극한전단강도를 발현하기 위한 중간수직보강재의 소요강성에 관한 수치해석연구를 수행하였다. 수치해석결과로부터 후좌굴거동이 존재하는 강곡 선플레이트거더 복부판이 후좌굴강도를 충분히 발현하기 위해서는 현행 Guide Specifications(AASHTO, 2003)의 중간수직보강재 강성이 후좌굴거동 시에 단순지지역할을 하기에는 부족한 것으로 조사되었으며, 이를 기초로 전단좌굴강도비에 따른 소요강성식을 제안하였다.

Dynamic nonlinear member failure propagation in truss structures

  • Malla, Ramesh B.;Nalluri, Butchi B.
    • Structural Engineering and Mechanics
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    • 제9권2호
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    • pp.111-126
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    • 2000
  • Truss type structures are attractive to a variety of engineering applications on earth as well as in space due to their high stiffness to mass ratios and ease of construction and fabrication. During the service life, an individual member of a truss structure may lose load carrying capacity due to many reasons, which may lead to collapse of the structure. An analytical and computational procedure has been developed to study the response of truss structures subject to member failure under static and dynamic loadings. Emphasis is given to the dynamic effects of member failure and the propagation of local damage to other parts of the structure. The methodology developed is based on nonlinear finite element analysis technique and considers elasto-plastic material nonlinearity, postbuckling of members, and large deformation geometric nonlinearity. The pseudo force approach is used to represent the member failure. Results obtained for a planar nine-bay indeterminate truss undergoing sequential member failure show that failure of one member can initiate failure of several members in the structure.

New phenomena associated with the nonlinear dynamics and stability of autonomous damped systems under various types of loading

  • Sophianopoulos, Dimitris S.
    • Structural Engineering and Mechanics
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    • 제9권4호
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    • pp.397-416
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    • 2000
  • The present study deals with the nonlinear dynamics and stability of autonomous dissipative either imperfect potential (limit point) systems or perfect (bifurcational) non-potential ones. Through a fully nonlinear dynamic analysis, performed on two simple 2-DOF models corresponding to the classes of systems mentioned above, and with the aid of basic definitions of the theory of nonlinear dynamical systems, new important phenomena are revealed. For the first class of systems a third possibility of postbuckling dynamic response is offered, associated with a point attractor on the prebuckling primary path, while for the second one the new findings are chaos-like (most likely chaotic) motions, consecutive regions of point and periodic attractors, series of global bifurcations and point attractor response of always existing complementary equilibrium configurations, regardless of the value of the nonconservativeness parameter.

온도에 의한 궤도의 후좌굴 거동 (Post-Buckling Behavior of the Track due to Temperature)

  • 임남형;이지하;강윤석;양신추
    • 한국철도학회:학술대회논문집
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    • 한국철도학회 2003년도 추계학술대회 논문집(II)
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    • pp.442-447
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    • 2003
  • The actual behavior of the railroad track structure is suspected to be a complex interaction between the vertical, lateral, longitudinal, and torsional behaviors. A FE program are developed in the present study to be used for extensive nonlinear analysis of the track structures subjected to thermal load. Using the rigorous study on the deformed shape of the rail and tie, and stress resultants, characteristics of the three dimensional behavior are investigated. It is found that the flexural rigidity of the tie and the rotational stiffness of pad-fastener can be affect the behavior of the track structure and the postbuckling behavior in each rail, except lateral behavior, is not same.

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복합재 실린더의 비틀림 좌굴 특성 연구 (Torsional Buckling Behavior of Composite Cylinder)

  • 이춘우;권진회
    • 한국복합재료학회:학술대회논문집
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    • 한국복합재료학회 2002년도 추계학술발표대회 논문집
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    • pp.92-95
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    • 2002
  • A nonlinear finite element method is presented to evaluate the torsional buckling moment and failure of composite laminated cylinders. For the progressive failure analysis, the complete unloading method is used based on the maximum stress failure criteria. An arc-length method is incorporated to trace the postbuckling equilibrium path. Present finite element method is verified by the existing experimental and analytical results. The results of the parametric study show that the torsional buckling moments are sensitive to the geometric change, but are not much affected by the lay-up angle. All cylinders tested numerically show the unstable torsional buckling, and therefore the torsional buckling always leads to the catastrophic failure.

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스트립 모델을 이용한 강판 전단패널의 소성 해석 (Plastic Analysis of Steel Plate Shear Panels using Strip Model)

  • 이명호;문태섭
    • 한국강구조학회 논문집
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    • 제18권1호
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    • pp.71-80
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    • 2006
  • 강판 전단패널의 거동이 일반연강 (S400) 을 이용한 실험 및 해석으로 고찰되었다. 강판 전단패널은 작은 하중에서 좌굴을 하지만, 패널의 전단극한강도는 인장력 작용에 의한 강판 전단패널의 좌굴후 강도에 의해 좌우된다. 그러나, 설계상에서 강판 전단패널의 성능은 강판 전단패널의 탄성좌굴강도에 국한된다. 캐나다 극한강도 설계 규준 (CAN/CSA-S16.1-94)은 스트립 모델을 이용한 박강판 전단패널의 해석을 위한 절차를 규정하고 있다. 본 논문에서는 실험결과와 스트립모델 해석 결과를 이용하여 강판 전단패널의 구조성능을 평가하였다.

Thermal post-buckling analysis of functionally graded beams with temperature-dependent physical properties

  • Kocaturk, Turgut;Akbas, Seref Doguscan
    • Steel and Composite Structures
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    • 제15권5호
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    • pp.481-505
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    • 2013
  • This paper focuses on thermal post-buckling analysis of functionally graded beams with temperature dependent physical properties by using the total Lagrangian Timoshenko beam element approximation. Material properties of the beam change in the thickness direction according to a power-law function. The beam is clamped at both ends. In the case of beams with immovable ends, temperature rise causes compressible forces and therefore buckling and post-buckling phenomena occurs. It is known that post-buckling problems are geometrically nonlinear problems. Also, the material properties (Young's modulus, coefficient of thermal expansion, yield stress) are temperature dependent: That is the coefficients of the governing equations are not constant in this study. This situation suggests the physical nonlinearity of the problem. Hence, the considered problem is both geometrically and physically nonlinear. The considered highly non-linear problem is solved considering full geometric non-linearity by using incremental displacement-based finite element method in conjunction with Newton-Raphson iteration method. In this study, the differences between temperature dependent and independent physical properties are investigated for functionally graded beams in detail in post-buckling case. With the effects of material gradient property and thermal load, the relationships between deflections, critical buckling temperature and maximum stresses of the beams are illustrated in detail in post-buckling case.

Thermal post-buckling behavior of imperfect graphene platelets reinforced metal foams plates resting on nonlinear elastic foundations

  • Yin-Ping Li;Gui-Lin She;Lei-Lei Gan;H.B. Liu
    • Earthquakes and Structures
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    • 제26권4호
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    • pp.251-259
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    • 2024
  • In this paper, the thermal post-buckling behavior of graphene platelets reinforced metal foams (GPLRMFs) plate with initial geometric imperfections on nonlinear elastic foundations are studied. First, the governing equation is derived based on the first-order shear deformation theory (FSDT) of plate. To obtain a single equation that only contains deflection, the Galerkin principle is employed to solve the governing equation. Subsequently, a comparative analysis was conducted with existing literature, thereby verifying the correctness and reliability of this paper. Finally, considering three GPLs distribution types (GPL-A, GPL-B, and GPL-C) of plates, the effects of initial geometric imperfections, foam distribution types, foam coefficients, GPLs weight fraction, temperature changes, and elastic foundation stiffness on the thermal post-buckling characteristics of the plates were investigated. The results show that the GPL-A distribution pattern exhibits the best buckling resistance. And with the foam coefficient (GPLs weight fraction, elastic foundation stiffness) increases, the deflection change of the plate under thermal load becomes smaller. On the contrary, when the initial geometric imperfection (temperature change) increases, the thermal buckling deflection increases. According to the current research situation, the results of this article can play an important role in the thermal stability analysis of GPLRMFs plates.

An exact finite strip for the calculation of relative post-buckling stiffness of isotropic plates

  • Ovesy, H.R.;Ghannadpour, S.A.M.
    • Structural Engineering and Mechanics
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    • 제31권2호
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    • pp.181-210
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    • 2009
  • This paper presents the theoretical developments of an exact finite strip for the buckling and initial post-buckling analyses of isotropic flat plates. The so-called exact finite strip is assumed to be simply supported out-of-plane at the loaded ends. The strip is developed based on the concept that it is effectively a plate. The present method, which is designated by the name Full-analytical Finite Strip Method in this paper, provides an efficient and extremely accurate buckling solution. In the development process, the Von-Karman's equilibrium equation is solved exactly to obtain the buckling loads and the corresponding form of out-of-plane buckling deflection modes. The investigation of thin flat plate buckling behavior is then extended to an initial post-buckling study with the assumption that the deflected form immediately after the buckling is the same as that obtained for the buckling. It is noted that in the present method, only one of the calculated out-of-plane buckling deflection modes, corresponding to the lowest buckling load, i.e., the first mode is used for the initial post-buckling study. Thus, the postbuckling study is effectively a single-term analysis, which is attempted by utilizing the so-called semi-energy method. In this method, the Von-Karman's compatibility equation governing the behavior of isotropic flat plates is used together with a consideration of the total strain energy of the plate. Through the solution of the compatibility equation, the in-plane displacement functions which are themselves related to the Airy stress function are developed in terms of the unknown coefficient in the assumed out-of-plane deflection function. These in-plane and out-of-plane deflected functions are then substituted in the total strain energy expressions and the theorem of minimum total potential energy is applied to solve for the unknown coefficient. The developed method is subsequently applied to analyze the initial postbuckling behavior of some representative thin flat plates for which the results are also obtained through the application of a semi-analytical finite strip method. Through the comparison of the results and the appropriate discussion, the knowledge of the level of capability of the developed method is significantly promoted.