• 제목/요약/키워드: Buckling analysis

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국부좌굴을 고려하는 개선소성힌지해석을 이용한 3차원 강뼈대 구조물 해석 (3-D Frame Analysis Using Refined Plastic-Hinge Analysis Accounting for Local Buckling)

  • 김승억;박주수
    • 한국전산구조공학회:학술대회논문집
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    • 한국전산구조공학회 2001년도 가을 학술발표회 논문집
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    • pp.319-326
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    • 2001
  • In this paper, 3-D frame design using refined plastic-hinge analysis accounting for local buckling is developed. This analysis accounts for material and geometric nonlinearities of the structural system and its component members. Moreover, the problem associated with conventional refined plastic-hinge analyses, which do not consider the degradation of the flexural strength caused by local buckling, is overcome. Efficient ways of assessing steel frame behavior including gradual yielding associated with residual stresses and flexure, second-order effect, and geometric imperfections are presented. In this study, a model consisting of the width-thickness ratio is used to account for local buckling. The proposed analysis is verified by the comparison of the LRFD results.

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수치해석적 기법을 이용한 복합재 원통 셸의 좌굴 연구 (Buckling Analysis of Composite Cylindrical Shell Using Numerical Analysis Method)

  • 정해영;조종래;배원병;이우형
    • 대한기계학회논문집A
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    • 제36권1호
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    • pp.51-58
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    • 2012
  • 본 연구는 외부 수압을 받는 복합재 원통 셸에 대해서 원통 좌굴식 (ASME 2007,NASA SP- 8007)과 유한요소법을 이용하여 좌굴 압력을 예측하기 위함이다. 본 연구에 사용된 모델은 적층 각도 [0/90]$_{12t}$ 이며 복합재 재질은 USN 125 이다. 복합재는 프리프래그 방식으로 제작되었다. 본 논문에 사용된 연구 방법은 원통 셸의 좌굴식, 유한요소해석을 수행하고 이를 실험으로 검증 하였다. 원통 셸의 좌굴식과 유한요소 결과를 비교하기 위하여 $20^{\circ}{\sim}90^{\circ}$까지 $5^{\circ}$씩 변화시켜 도식화 하여 비교하였다. 유한요소해석의 결과는 선형과 비선형은 안전율 0.85~1.0 으로 잘 일치하였다. 좌굴 압력식은 적층각이 증가할수록 좌굴압력이 증가하였다. 유한요소 해석과 비교하면 ASME 2007 식이 NASA SP-8007 식보다 안전율이 더 큰 식임을 알 수 있었다.

Buckling analysis of tapered BDFGM nano-beam under variable axial compression resting on elastic medium

  • Heydari, Abbas;Shariati, Mahdi
    • Structural Engineering and Mechanics
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    • 제66권6호
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    • pp.737-748
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    • 2018
  • The current study presents a new technique in the framework of the nonlocal elasticity theory for a comprehensive buckling analysis of Euler-Bernoulli nano-beams made up of bidirectional functionally graded material (BDFGM). The mechanical properties are considered by exponential and arbitrary variations for axial and transverse directions, respectively. The various circumstances including tapering, resting on two-parameter elastic foundation, step-wise or continuous variations of axial loading, various shapes of sections with various distribution laws of mechanical properties and various boundary conditions like the multi-span beams are taken into account. As far as we know, for the first time in the current work, the buckling analyses of BDFGM nano-beams are carried out under mentioned circumstances. The critical buckling loads and mode shapes are calculated by using energy method and a new technique based on calculus of variations and collocation method. Fast convergence and excellent agreement with the known data in literature, wherever possible, presents the efficiency of proposed technique. The effects of boundary conditions, material and taper constants, foundation moduli, variable axial compression and small-scale of nano-beam on the buckling loads and mode shapes are investigated. Moreover the analytical solutions, for the simpler cases are provided in appendices.

격자 구조물의 비선형 동적 측면 충격해석 (Nonlinear Dynamic Lateral Buckling Behavior of a Grid Structures)

  • 윤경호;송기남;김홍배
    • 대한기계학회:학술대회논문집
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    • 대한기계학회 2000년도 춘계학술대회논문집A
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    • pp.254-260
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    • 2000
  • The spacer grid is one of the main structural components in fuel assembly, which supports the fuel rods, guides cooling water, and protects the fuel assembly from the external impact load such as earthquakes. The nonlinear dynamic impact analysis is conducted by using the finite element code ABAQUS/Explicit. Boundary condition for dynamic analysis is well applied to the test condition. Simulation results also similarly predict the local buckling phenomena. In addition to the buckling parameter, the local buckling cause is examined by both simulation and test method. It is found to correspond well with the test results. Impact tests are also carried out for some specimens of the spacer grid in order to compare the results between the test and the simulation. This test is accomplished by a free fall dummy weight onto the specimen. From this test, only the uppermost and lowermost layers of the multi-cell are buckled, which implies the local buckling at the weakest point of the grid structure.

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Buckling analysis of sandwich beam reinforced by GPLs using various shear deformation theories

  • Hanifehlou, Sona;Mohammadimehr, Mehdi
    • Computers and Concrete
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    • 제25권5호
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    • pp.427-432
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    • 2020
  • In this research, the buckling analysis of sandwich beam with composite reinforced by graphene platelets (GPLs) in two face sheets is investigated. Three type various porosity patterns including uniform, symmetric and asymmetric are considered through the thickness direction of the core. Also, the top and bottom face sheets layers are considered composite reinforced by GPLs/CNTs based on Halpin-Tsai micromechanics model and extended mixture rule, respectively. Based on various shear deformation theories such as Euler-Bernoulli, Timoshenko and Reddy beam theories, the governing equations of equilibrium using minimum total potential energy are obtained. It is seen that the critical buckling load decreases with an increase in the porous coefficient, because the stiffness of sandwich beam reduces. Also, it is shown that the critical buckling load for asymmetric distribution is lower than the other cases. It can see that the effect of graphene platelets on the critical buckling load is higher than carbon nanotubes. Moreover, it is seen that the difference between carbon nanotubes and graphene platelets for Reddy and Euler-Bernoulli beam theories is most and least, respectively.

Strength and buckling of a sandwich beam with thin binding layers between faces and a metal foam core

  • Magnucki, Krzysztof;Jasion, Pawel;Szyc, Waclaw;Smyczynski, Mikolaj Jan
    • Steel and Composite Structures
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    • 제16권3호
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    • pp.325-337
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    • 2014
  • The strength and buckling problem of a five layer sandwich beam under axial compression or bending is presented. Two faces of the beam are thin aluminium sheets and the core is made of aluminium foam. Between the faces and the core there are two thin binding glue layers. In the paper a mathematical model of the field of displacements, which includes a share effect and a bending moment, is presented. The system of partial differential equations of equilibrium for the five layer sandwich beam is derived on the basis of the principle of stationary total potential energy. The equations are analytically solved and the critical load is obtained. For comparison reasons a finite element model of the beam is formulated. For the case of bended beam the static analysis has been performed to obtain the stress distribution across the height of the beam. For the axially compressed beam the buckling analysis was carried out to determine the buckling load and buckling shape. Moreover, experimental investigations are carried out for two beams. The comparison of the results obtained in the analytical and numerical (FEM) analysis is shown in graphs and figures. The main aim of the paper is to present an analytical model of the five layer beam and to compare the results of the theoretical, numerical and experimental analyses.

편심 보강평판의 기하학적 비선형 해석 (Geometrically Nonlinear Analysis of Eccentrically Stiffened Plate)

  • 이재욱;정기태;양영태
    • 대한조선학회논문집
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    • 제28권2호
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    • pp.307-317
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    • 1991
  • 선체구조 및 해양구조물의 기본 구조요소로 사용되는 편심으로 보강된 평판이나 쉘 수조물의 기하하적 비선형 해석에 관한 논문으로서 사용된 유한요소는 격하 쉘요소와 편심된 격하보요소이며 total Lagrange(T.L.)수식과 updated Lagrange(U.L.)수식으로 정식화 하였다. 편심된 보강평판의 비선형 해석에서 사용된 모델은 보강재의 이상화 방법에 따라 평판과 보강재를 격하 쉘요소로 이상화한 모델과 평판은 격하 쉘요소로하고 보강재는 편심된 격하 보요소로 이상화한 모델로 각각 구분하여 비선형 해석을 수행하였으며 해석과정에서 편심 보강평판의 임계하중을 구하고 좌굴 후 비선형 거동을 조사하였다. 해석된 임계 좌굴하중은 선급에서 규정하고 있는 방식의 오일러의 좌굴하중값 보다는 낮게 조사되었다.

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Thermal post-buckling analysis of uniform slender functionally graded material beams

  • Anandrao, K. Sanjay;Gupta, R.K.;Ramchandran, P.;Rao, G. Venkateswara
    • Structural Engineering and Mechanics
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    • 제36권5호
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    • pp.545-560
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    • 2010
  • Two or more distinct materials are combined into a single functionally graded material (FGM) where the microstructural composition and properties change gradually. Thermal post-buckling behavior of uniform slender FGM beams is investigated independently using the classical Rayleigh-Ritz (RR) formulation and the versatile Finite Element Analysis (FEA) formulation developed in this paper. The von-Karman strain-displacement relations are used to account for moderately large deflections of FGM beams. Bending-extension coupling arising due to heterogeneity of material through the thickness is included. Simply supported and clamped beams with axially immovable ends are considered in the present study. Post-buckling load versus deflection curves and buckled mode shapes obtained from both the RR and FEA formulations for different volume fraction exponents show an excellent agreement with the available literature results for simply supported ends. Response of the FGM beam with clamped ends is studied for the first time and the results from both the RR and FEA formulations show a very good agreement. Though the response of the FGM beam could have been studied more accurately by FEA formulation alone, the authors aim to apply the RR formulation is to find an approximate closed form post-buckling solutions for the FGM beams. Further, the use of the RR formulation clearly demonstrates the effect of bending-extension coupling on the post-buckling response of the FGM beams.

초공동 운동체 구조물의 동적 불안정성 연구 (The Study of Dynamic Instability of Supercavitating Shell Structures)

  • 김승조;변완일;장채규;조진연
    • 한국추진공학회:학술대회논문집
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    • 한국추진공학회 2010년도 제34회 춘계학술대회논문집
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    • pp.469-471
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    • 2010
  • 초공동 수중 운동체의 구조물은 수중 운동 시에 유동 마찰에 의해 생성되는 높은 축 방향 하중과 추력의 조합에 의해 좌굴 현상이 발생하게 되며, 이는 구조물의 손상과 연결된다. 따라서 운용하고자 하는 수동 운동체의 속도 범위에서 이러한 좌굴이 발생되지 않도록 구조 설계가 요구되며, 이는 유한요소 해석을 이용한 정적 및 동적 좌굴 해석으로 좌굴 예측이 가능하다. 본 연구에서는 이러한 좌굴 해석을 위한 기초적인 소개와 유한요소 좌굴 해석에 필요한 고유치 해법을 소개하고, 좌굴 해석에 앞서 고유치 해법을 통한 고유 진동수 및 모드 형상을 DIAMOND/IPSAP 프로그램을 통해 예측하여 보았다.

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Buckling analysis of smart beams based on higher order shear deformation theory and numerical method

  • Talebizadehsardari, Pouyan;Eyvazian, Arameh;Azandariani, Mojtaba Gorji;Tran, Trong Nhan;Rajak, Dipen Kumar;Mahani, Roohollah Babaei
    • Steel and Composite Structures
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    • 제35권5호
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    • pp.635-640
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    • 2020
  • The buckling analysis of the embedded sinusoidal piezoelectric beam is evaluated using numerical method. The smart beam is subjected to external voltage in the thickness direction. Elastic medium is simulated with two parameters of spring and shear. The structure is modelled by sinusoidal shear deformation theory (SSDT) and utilizing energy method, the final governing equations are derived on the basis of piezo-elasticity theory. In order to obtaining the buckling load, the differential quadrature method (DQM) is used. The obtained results are validated with other published works. The effects of beam length and thickness, elastic medium, boundary condition and external voltage are shown on the buckling load of the structure. Numerical results show that with enhancing the beam length, the buckling load is decreased. In addition, applying negative voltage, improves the buckling load of the smart beam.