• 제목/요약/키워드: Bifurcation Buckling

검색결과 76건 처리시간 0.03초

소성 이방성이 박판의 주름 발생에 미치는 영향 (The effect of plastic anisotropy on wrinkling behavior of sheet metal)

  • 양동열
    • 한국소성가공학회:학술대회논문집
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    • 한국소성가공학회 1999년도 춘계학술대회논문집
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    • pp.14-17
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    • 1999
  • The wrinkling behavior of a thin sheet with perfect geometry is a kind of compressive instability. The compressive instability is influenced by many factors such as stress state mechanical properties of the sheet material geometry of the body contact conditions and plastic anisotropy. The analysis of compressive instability in plastically deforming body is difficult considering all the factors because the effects of the factors are very complex and the instability behavior may show wide variation for small deviation of the factors. In this study the bifurcation theory is introduced for the finite element analysis of puckering initiation and growth of a thin sheet with perfect geometry. All the above mentioned analysis and the post-bifurcation behavior is analyzed by introducing the branching scheme proposed by Riks. The finite element formulation is based on the incremental deformation theory and elastic-plastic material modeling. in order to investigate the effect of plastic anisotropy on the compressive instability a square plate that is subjected to compression in one direction and tension in the other direction is analyzed by the above-mentionedfinite element analysis. The critical stress ratios above which the buckling does not take place are found for various plastic anisotropic modeling method and discussed. Finally the effect of plastic anisotropy on the puckering behavior in the spherical cup deep drawing process is investigated.

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Shielding effects and buckling of steel tanks in tandem arrays under wind pressures

  • Portela, Genock;Godoy, Luis A.
    • Wind and Structures
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    • 제8권5호
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    • pp.325-342
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    • 2005
  • This paper deals with the buckling behavior of thin-walled aboveground tanks under wind load. In order to do that, the wind pressures are obtained by means of wind-tunnel experiments, while the structural non linear response is computed by means of a finite element discretization of the tank. Wind-tunnel models were constructed and tested to evaluate group effects in tandem configurations, i.e. one or two tanks shielding an instrumented tank. Pressures on the roof and on the cylindrical part were measured by pressure taps. The geometry of the target tank is similar in relative dimensions to typical tanks found in oil storage facilities, and several group configurations were tested with blocking tanks of different sizes and different separation between the target tank and those blocking it. The experimental results show changes in the pressure distributions around the circumference of the tank for half diameter spacing, with respect to an isolated tank with similar dimensions. Moreover, when the front tank of the tandem array has a height smaller than the target tank, increments in the windward pressures were measured. From the computational analysis, it seems that the additional stiffness provided by the roof prevents reductions in the buckling load for cases even when increments in pressures develop in the top region of the cylinder.

On thermally induced instability of FG-CNTRC cylindrical panels

  • Hashemi, Razieh;Mirzaei, Mostafa;Adlparvar, Mohammad R.
    • Advances in nano research
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    • 제10권1호
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    • pp.43-57
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    • 2021
  • In this study, thermally induced bifurcation buckling of shallow composite cylindrical panels reinforced with aligned single-walled carbon nanotubes is investigated. Distribution of carbon nanotubes across the thickness of the cylindrical panel as reinforcements may be either uniform or functionally graded. Thermo-mechanical properties of the matrix and reinforcements are considered to be temperature dependent. Properties of the cylindrical panel are obtained using a refined micromechanical approach which introduces the auxiliary parameters into the rule of mixtures. The governing equations are obtained by using the static version of the Hamilton principle based on the first-order shear deformation theory and considering the linear strain-displacement relation. An energy-based Ritz method and an iterative process are used to obtain the critical buckling temperature of composite cylindrical panel with temperature dependent material properties. In addition, the effect of various parameters such as the boundary conditions, different geometrical conditions, distribution pattern of CNTs across the thickness and their volume fraction are studied on the critical buckling temperature and buckled pattern of cylindrical panels. It is shown that FG-X type of CNT dispersion is the most influential type in thermal stability.

Bypass, homotopy path and local iteration to compute the stability point

  • Fujii, Fumio;Okazawa, Shigenobu
    • Structural Engineering and Mechanics
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    • 제5권5호
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    • pp.577-586
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    • 1997
  • In nonlinear finite element stability analysis of structures, the foremost necessary procedure is the computation to precisely locate a singular equilibrium point, at which the instability occurs. The present study describes global and local procedures for the computation of stability points including bifurcation points and limit points. The starting point, at which the procedure will be initiated, may be close to or arbitrarily far away from the target point. It may also be an equilibrium point or non-equilibrium point. Apart from the usual equilibrium path, bypass and homotopy path are proposed as the global path to the stability point. A local iterative method is necessary, when it is inspected that the computed path point is sufficiently close to the stability point.

분기좌굴이론을 이용한 박판성형공정에서의 주름발생해석 (An analysis of the wrinkling initiation in sheet metal forming using bifurcation theory)

  • 김종봉;양동렬;윤정환
    • 한국소성가공학회:학술대회논문집
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    • 한국소성가공학회 1998년도 춘계학술대회논문집
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    • pp.28-31
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    • 1998
  • Wrinkling is one of the major defects in sheet metal products and may be also attributable to the wear of the tool. The initiation and growth of the wrinkles are influenced by many factors such as stress state, mechanical properites of the sheet material, geometry of the body, and contact condition. It is difficult to analyze the wrinkling initiation and growth considering the factors because the effects of the factors are very complex and the wrinkling behavior may show wide variation for small deviation of the factors. In this study, the bifurcation theory is introduced for the finite element analysis of wrinkling initiation and growth, All the above mentioned factors are conveniently considered by finite element method. The finite element formulation is based on the incremental deformation theory and elastic-plastic material modeling. The finite element analysis is carried out using the continuum-based resultant shell elements considering the planar anisotropy of the sheet metal. The proposed method is verified by employing to column buckling problem. And then, the initiation and growth of wrinkling in deep drawing of cylindrical cup are analyzed.

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돔형 스페이스 프레임 구조물의 하중모드에 따른 분기점 특성에 관한 연구 (A Study on the Critical Point and Bifurcation According to Load Mode of Dome-Typed Space Frame Structures)

  • 손수덕;김승덕;이승재;김종식
    • 한국공간구조학회논문집
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    • 제11권1호
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    • pp.121-130
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    • 2011
  • 스페이스 프레임 구조물은 연속체 쉘 구조물의 원리를 이용하여 매우 넓은 공간을 효과적 으로 덮을 수 있는 구조물이지만 뜀좌굴 및 분기좌굴 등과 같은 불안정거동은 돔형 구조물에서는 더욱 복잡하게 나타난다. 또한 붕괴메커니즘의 이론적 연구와 실험적 연구결과들 사이에서도 많은 차이를 보인다. 본 논문에서는 미적 효과가 크며 단층의 대공간을 확보하기에 적합한 돔형 공간 구조물의 구조 불안정 특성을 접선강성방정식을 이용하여 비선형 증분해석을 수행하고, Rise-span(${\mu}$)비 및 하중모드($R_L$)에 따른 임계점과 분기점의 특성을 돔형 공간구조물의 예제를 통해 고찰하였다. 여기서 불안정점은 증분해석과정을 통해서 예측할 수 있었으며, 예제에서 낮은 ${\mu}$에서는 전체좌굴이, 높은 ${\mu}$의 경우는 절점좌굴이 지배적이며, 낮은 $R_L$에서 정점좌굴이, 높은 $R_L$에서는 전체좌굴이 지배적이고, 전체좌굴이 나타나는 경우, 분기좌굴하중은 완전형상의 극한점좌굴하중의 약 50%에서 70%의 분포를 보였다.

탄소성 이력 댐퍼가 부착된 브레이스의 거동에 관한 실험적 연구 (Experimental Study on the Behavior of Brace with Elasto-Plastic Hysteretic damper)

  • 오상훈;유홍식;문태섭
    • 한국강구조학회 논문집
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    • 제17권5호통권78호
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    • pp.617-625
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    • 2005
  • 지진등과 같은 횡력에 대해 저항하기 위해 자주 사용되는 브레이스는 좌굴하중 이후에는 좌굴에 의해 내력이 저하하는 등 안정된 이력특성을 발휘하기 어렵다. 따라서 본 연구에서는 브레이스의 좌굴을 방지하고 소성 변형 능력을 크게 하기 위하여 slit plate로 이루어진 damper를 부착한 브레이스의 형태를 제안하였다. 그리고 이러한 탄소성 이력댐퍼를 부착한 브레이스재의 이력 특성을 파악하기 위한 실험에서 얻어진 결과를 분석하고 그 가능성을 검토하였다.

박판 상형 부재의 붕괴 특성연구 (Collapse of Thin-Walled Hatted Section Tubes)

  • 김천욱;한병기
    • 한국자동차공학회논문집
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    • 제2권1호
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    • pp.65-72
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    • 1994
  • Collapse characteristics of thin-walled hatted section tubes are investigated. The square section members with flanges are substituted by the equivalent rectangular tube. The stiffening effects of flanges are transformed to the restraining plate with the equivalency of buckling strength. The square tubes of single-hatted and double-hatted sections are investigated. The double-hatted section members show symmetric and antisymmetric crushing modes depending on the stiffness of flanges. The single-hatted section members show only symmetric modes. The bifurcation point of the compact crushing modes are investigated by experiments and shown almost same thickness-width ratio of the rectangular tubes. A large maximum crippling strength can be obtained by double-hatted section members with proper flange dimensions.

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폐단면리브 강성에 따른 일축압축을 받는 보강판의 국부좌굴강도 평가 (Evaluation of Local Buckling Strength of Stiffened Plates under Uni-axial Compression due to Closed-section Rib Stiffness)

  • 최병호
    • 한국산학기술학회논문지
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    • 제14권2호
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    • pp.949-954
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    • 2013
  • 일반적으로 압축을 받는 판 구조는 종방향 보강재를 이용하여 보강된다. 이 때 보강재로서 U형 단면 리브를 사용하는 것이 보다 효과적이나, 현재 국내에서 이에 대한 명확한 설계지침이나 연구자료가 제시되지 못하고 있다. 이에, 본 연구에서는 U리브의 단면 크기 및 강성 등에 따른 보강판의 탄성좌굴강도를 살펴보고자 한다. 유한요소해석 프로그램인 ABAQUS를 이용하여 세 가지 타입의 U형 단면 리브를 적용한 해석모델을 수립하여 고유치 해석을 실시하였고, 양연지지된 판의 국부좌굴강도 이론식과 본 해석적 결과를 비교하였다. 이러한 분석 결과를 토대로 U형 단면리브에 의해 좌굴강도가 증진하는 보강 효과를 확인하였으며, 설계 파라미터에 따른 변수해석적 연구를 통해 그 영향을 분석하였다. 본 연구결과는 U리브 보강판의 적정 설계 방안을 제시하는데 기여할 수 있을 것으로 기대된다.

Crack effect on the elastic buckling behavior of axially and eccentrically loaded columns

  • Zhou, L.;Huang, Y.
    • Structural Engineering and Mechanics
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    • 제22권2호
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    • pp.169-184
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    • 2006
  • A close form solution of the maximum deflection for cracked columns with rectangular cross-sections was developed and thus the elastic buckling behavior and ultimate bearing capacity were studied analytically. First, taking into account the effect of the crack in the potential energy of elastic systems, a trigonometric series solution for the elastic deflection equation of an arbitrary crack position was derived by use of the Rayleigh-Ritz energy method and an analytical expression of the maximum deflection was obtained. By comparison with the rotational spring model (Okamura et al. 1969) and the equivalent stiffness method (Sinha et al. 2002), the advantages of the present solution are that there are few assumed conditions and the effect of axial compression on crack closure was considered. Second, based on the above solutions, the equilibrium paths of the elastic buckling were analytically described for cracked columns subjected to both axial and eccentric compressive load. Finally, as examples, the influence of crack depth, load eccentricity and column slenderness on the elastic buckling behavior was investigated in the case of a rectangular column with a single-edge crack. The relationship of the load capacity of the column with respect to crack depth and eccentricity or slenderness was also illustrated. The analytical and numerical results from the examples show that there are three kinds of collapse mechanisms for the various states of cracking, eccentricity and slenderness. These are the bifurcation for axial compression, the limit point instability for the condition of the deeper crack and lighter eccentricity and the fracture for higher eccentricity. As a result, the conception of critical transition eccentricity $(e/h)_c$, from limit-point buckling to fracture failure, was proposed and the critical values of $(e/h)_c$ were numerically determined for various eccentricities, crack depths and slenderness.