• 제목/요약/키워드: bending and buckling

검색결과 447건 처리시간 0.033초

Multi-Objective Design Optimization of Composite Stiffened Panel Using Response Surface Methodology

  • Murugesan, Mohanraj;Kang, Beom-Soo;Lee, Kyunghoon
    • Composites Research
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    • 제28권5호
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    • pp.297-310
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    • 2015
  • This study aims to develop efficient composite laminates for buckling load enhancement, interlaminar shear stress minimization, and weight reduction. This goal is achieved through cover-skin lay-ups around skins and stiffeners, which amplify bending stiffness and defer delamination by means of effective stress distribution. The design problem is formulated as multi-objective optimization that maximizes buckling load capability while minimizing both maximum out-of-plane shear stress and panel weight. For efficient optimization, response surface methodology is employed for buckling load, two out-of-plane shear stresses, and panel weight with respect to one ply thickness, six fiber orientations of a skin, and four stiffener heights. Numerical results show that skin-covered composite stiffened panels can be devised for maximum buckling load and minimum interlaminar shear stresses under compressive load. In addition, the effects of different material properties are investigated and compared. The obtained results reveal that the composite stiffened panel with Kevlar material is the most effective design.

지지단 보강재의 뒤틀림을 고려한 면내휨을 받는 탄성지지 보강판의 좌굴해석 (Buckling Analysis of Stiffened Plates with Elastic Supports Subjected to In-Plane Bending Moment Considering Warping of End Stiffeners)

  • 이용수
    • 전산구조공학
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    • 제10권1호
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    • pp.135-148
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    • 1997
  • 본 논문은 면내휨을 받는 2변 탄성지지 2변 단순지지 보강장방형판에 대한 유한요소법을 이용하고, 비보강장방형판에 대해 고전적 해석법에 의해 좌굴해석한 것이다. 4변 단순지지, 2변 단순지지 및 2변 고정 장방형 판에 대해 기존해와 고전적 해석해 및 유한요소해을 비교하여 고전적 해석방법 및 유한요소법의 신뢰도를 입증하였다. 장방형 보강재의 뒤틀림 강성은 무시될 수 있으므로 탄성지지변의 보강재는 뒤틀림의 영향을 파악하기 위해 I형을 사용하였다. 탄성지지변을 갖는 장방형 판의 좌굴강도가 비틀림 강성 및 뒤틀림 강성에 따라 유한요소법 및 고전적 해석법에 의해 계산되고 비교되었다. 판의 지지변 사이에 보강재가 있는 경우 4변 단순지지, 2변 단순지지 및 2변 고정 보강장방형판에 대해 유한요소법에 의한 좌굴강도는 장방형판요소와 비틀림 및 뒤틀림을 고려한 보요소의 강성매트릭스를 조합하여 고유치 문제를 풀므로써 계산될 수 있다. 유한요소법에 의해 지지변 사이의 장방형 보강재 위치와 지지변 상의 I형 보강재의 비틀림(J) 및 뒤틀림 상수 (I/sub W/)에 따른 보강장방형판의 좌굴강도를 구하여 비교하고 효율적인 보강재의 위치를 결정하였다.

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Determination of winding diameter based on bending strain analysis for REBCO coated conductor tapes

  • Leon, M.B. De;Dedicatoria, M.J.;Shin, H.S.
    • 한국초전도ㆍ저온공학회논문지
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    • 제14권2호
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    • pp.8-11
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    • 2012
  • In order to recognize the allowable bending diameter in coils, the strain as function of diameters is evaluated. The irreversible strain limits of $I_c$ in the easy and hard bending modes were measured. Strains were calculated at the coating film in the easy bending and at outer edge or inner edge in the hard bending of the CC tape, respectively. The tape geometry subjected to bending procedures is considered from the current industrial spool winding operation. Through the linear superposition of strain induced in different bending modes regarding the expressions, the appropriate design for critical bending diameter is suggested. Results proved that the existence of buckling resulting from bending in hard direction when applied strain exceeded 0.6% is possible. The depicted results showed that the strain limit as a viable parameter should be considered for future purposes.

퇴화 쉘 요소를 사용한 적층복합재의 증분형 비선형 좌굴 현상 및 적층 레이업 효과 (The Effects of Composite Laminate Layups on Nonlinear Buckling Behavior Using a Degenerated Shell Element)

  • 조희근
    • 한국기계가공학회지
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    • 제15권1호
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    • pp.50-60
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    • 2016
  • Laminate composites have a number of excellent characteristics in aspects of strength, stiffness, bending, and buckling. Buckling and postbuckling analysis of laminate composites with layups of [90/0]2s, $[{\pm}45/90/0]s$, $[{\pm}45]2s$ has been carried using the Total Lagrangian nonlinear Newton-Raphson method. The formulation of a geometrically nonlinear composite shell element based on a nonlinear large deformation method is presented. The used element is an eight-node degenerated shell element with six degrees of freedom. Square, circular cylinder, and arch panel laminate geometries were analyzed to verify the effects of the layups on the buckling and postbuckling behavior. The results showed that the effects of laminate layups on bucking and postbuckling behavior and the present formulation showed very good agreement with existing references.

회전자유도를 갖는 평면쉘요소에 의한 박판구조물의 선형 좌굴해석 (Linear Buckling Analysis of Thin-walled Structures by Flat Shell Elements with Drilling D.O.F.)

  • 최창근;송명관
    • 한국전산구조공학회:학술대회논문집
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    • 한국전산구조공학회 1998년도 가을 학술발표회 논문집
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    • pp.258-265
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    • 1998
  • Application of the flat shell element with drilling D.O.F to linear buckling analysis of thin-walled structures is presented in this paper. The shell element has been developed basically by combining a membrane element with drilling D.O.F. and Mindlin plate bending element. Thus, the shell element possesses six degrees-of-freedom per node which, in addition to improvement of the element behavior, permits an easy connection to other six degrees-of-freedom per node elements(CLS, Choi and Lee, 1995). Accordingly, structures like folded plate and stiffened shell structure, for which it is hard to find the analytical solutions, can be analyzed using these developed flat shell elements. In this paper, linear buckling analysis of thin-walled structures like folded plate structures using the shell elements(CLS) with drilling D.O.F. to be formulated and then fulfilled. Subsequently, buckling modes and the critical loads can be output. Finally. finite element solutions for linear buckling analysis of folded plate structures are compared with available analytic solutions and other researcher's results.

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Linear buckling analysis of welded girder webs with variable thickness

  • Maiorana, Emanuele;Pellegrino, Carlo
    • Steel and Composite Structures
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    • 제11권6호
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    • pp.505-524
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    • 2011
  • Steel girder web panels have been subjected in recent decades, to a number of experimental and numerical studies but the mechanisms that regulate the behaviour of the panels composed by two subpanels with different thickness were not deeply studied. Furthermore specific design rules regarding the estimation of the buckling coefficient for panels with variable thickness are not included in the codes even if this is a common situation particularly for steel bridge girders with beams having significant height. In this framework,this work aims to investigate buckling behaviour of steel beams with webs composed of panels with different thicknesses subjected to both in-plane axial compression and bending moment and gives some simplified equations for the estimation of the buckling coefficient.

Simplified approach to estimate the lateral torsional buckling of GFRP channel beams

  • Kasiviswanathan, M.;Anbarasu, M.
    • Structural Engineering and Mechanics
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    • 제77권4호
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    • pp.523-533
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    • 2021
  • The present study investigates the lateral torsional buckling behaviour of pultruded glass fiber reinforced polymer (GFRP) simply supported channel beams subjected to uniform bending about their major axis. A parametric study by varying the sectional geometry and span of channel beams is carried out by using ABAQUS software. The accuracy of the FE models was ensured by verifying them against the available results provided in the literature. The effect of geometric nonlinearity, geometric imperfections, and the dependency of finite element mesh on the lateral torsional buckling were carefully considered in the FE model. Lateral torsional buckling (LTB) strengths obtained from the numerical study were compared with the theoretical LTB strengths obtained based on the Eurocode 3 approach for steel sections. The comparison between the numerical strengths and the design procedure proposed in the literature based on Eurocode 3 approach revealed disagreements. Therefore, a simplified improved design procedure is proposed for the safe design strength prediction of pultruded GFRP channel beams. The proposed equation has been provided that might aid the structural engineers in economically designing the pultruded GFRP channel beams in the future.

Lateral-torsional buckling of prismatic and tapered thin-walled open beams: assessing the influence of pre-buckling deflections

  • Andrade, A.;Camotim, D.
    • Steel and Composite Structures
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    • 제4권4호
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    • pp.281-301
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    • 2004
  • The paper begins by presenting a unified variational approach to the lateral-torsional buckling (LTB) analysis of doubly symmetric prismatic and tapered thin-walled beams with open cross-sections, which accounts for the influence of the pre-buckling deflections. This approach (i) extends the kinematical assumptions usually adopted for prismatic beams, (ii) consistently uses shell membrane theory in general coordinates and (iii) adopts Trefftz's criterion to perform the bifurcation analysis. The proposed formulation is then applied to investigate the influence of the pre-buckling deflections on the LTB behaviour of prismatic and web-tapered I-section simply supported beams and cantilevers. After establishing an interesting analytical result, valid for prismatic members with shear centre loading, several elastic critical moments/loads are presented, discussed and, when possible, also compared with values reported in the literature. These numerical results, which are obtained by means of the Rayleigh-Ritz method, (i) highlight the qualitative differences existing between the LTB behaviours of simply supported beams and cantilevers and (ii) illustrate how the influence of the pre-buckling deflections on LTB is affected by a number of factors, namely ($ii_1$) the minor-to-major inertia ratio, ($ii_2$) the beam length, ($ii_3$) the location of the load point of application and ($ii_4$) the bending moment diagram shape.

Experiments and analysis of the post-buckling behaviors of aluminum alloy double layer space grids applying ball joints

  • Hiyama, Yujiro;Ishikawa, Koichiro;Kato, Shiro;Okubo, Shoji
    • Structural Engineering and Mechanics
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    • 제9권3호
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    • pp.289-304
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    • 2000
  • This study discusses on the experimental and analytical results of the global buckling tests, carried out on aluminum alloy double layer space grids composed of tubular members, ball joints and connecting bolts at the member ends, with the purpose of demonstrating the effectiveness of a simplified analysis method using an equivalent slenderness ratio for the members. Because very few experiments have been carried out on this type of aluminum space grids, the buckling behavior is investigated experimentally over the post buckling regions using several space grid specimen with various values for the member slenderness ratio. The observed behavior duping the experiments is compared with the analytically obtained results. The comparison is made based on two different schemes; one on the plastic hinge method considering a bending moment-axial force interaction for members and the other on a method using an equivalent slenderness ratio. It is confirmed that the equivalent slenderness method can be effectively applied, even in the post buckling regions, once the effects of the rotational rigidity at the ball joints are appropriately evaluated, because the rigidity controls the buckling behavior. The effectiveness of the equivalent slenderness method will be widely utilized for estimation of the ultimate strength, even in post buckling regions for large span aluminum space grids composed of an extreme large number of nodes and members.

Buckling behavior of stainless steel square hollow columns under eccentric loadings

  • Jang, Ho-Ju;Seo, Seong-Yeon;Yang, Young-Sung
    • Structural Engineering and Mechanics
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    • 제23권5호
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    • pp.563-577
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    • 2006
  • This study involves a series of experiments on the buckling strength of eccentrically compressed cold-formed stainless steel square hollow-section columns. The principal parameters in this study are slenderness ratios ($L_k/r$ = 30, 50, 70) and magnitude of eccentricity e (0, 25, 50, 75, 100 mm) on the symmetrical end-moment. The objectives of this paper are to obtain the buckling loads by conducting a series of experiments and to compare the behavior of the eccentrically compressed cold-formed stainless steel square hollow-section columns with the results of the analysis. The ultimate buckling strength of the square-section members were determined with the use of a numerical method in accordance with the bending moment-axial force (M-P) interaction curves. The behavior of each specimen was displayed in the form of a moment-radian (M-${\theta}$) relationship. The numerically obtained ultimate-buckling interaction curves of the beam columns coincided with the results of the experiments.