• Structural Engineering and Mechanics
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• 제68권2호
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• pp.261-275
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• 2018

A comprehensive study was provided to investigate the buckling behavior of the steel plates with and without through-thickness holes subjected to uniaxial compression using ABAQUS. The method was validated by the results reported in the literature. Using the critical stresses, the buckling coefficients ($K_c$) were calculated. The effects of inclusion of material nonlinearity, plate thickness (t), aspect ratio (AR), and initial imperfection on buckling resistance of the plate was studied. Besides, the effects of having the hole in the plate were also studied. The diameter of the hole was normalized by dividing by plate breadth and was given in the form of ${\alpha}$. Results showed that perforating one hole in the center of a plate increases the plate buckling resistance while the having two holes resulted in a decrease in the plate buckling resistance. The effects of hole eccentricity (Ecc) on the buckling resistance of the plate was studied. The position of the hole center was normalized by half of the plate breadth and length in X- and Y-directions, respectively. In this study, four cases of boundary conditions were considered, and the corresponding buckling behavior were studied combined with plate aspect ratio. It was observed that the boundary condition of the case I resulted in the highest buckling resistance. Finally, a comparison was made between the buckling behavior of the uniaxially and biaxially loaded plate. It was revealed that the buckling resistance of a biaxially loaded plate is lower half than half of that of the uniaxially loaded plate.

• 한국전산구조공학회논문집
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• 제15권1호
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• pp.117-126
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• 2002

본 논문에서는 횡비틀림좌굴을 고려하는 2차 소성힌지해석법을 이용하여 3차원 강뼈대구조물의 설계기법을 개발하였다. 본 해석은 구조시스템 및 개별부재의 재료적 기하학적 비선형 거동을 고려한다. 더욱이, 종래의 2차 소성힌지해석에서 횡비틀림좌굴효과에 의한 휨강도 감소효과를 고려하지 못한 문제를 해결하였다. 강뼈대구조물의 잔류응력과 휨에 의한 비선형성 및 기하학적 불완전성에 의한 점진적인 소성화효과를 고려하는 효율적인 방법을 기술하였다. 횡비틀림좌굴효과를 고려하기 위하여 비지지장 및 단면 형상으로 구성되는 침강도 감소모델을 사용하였다. 개발된 2차 소성힌지해석법을 LRFD 설계방법과 비교함으로서 검증하였다. 예제해석을 통하여 횡비틀림좌굴효과는 2차 소성힌지해석법에 고려해야 할 중요한 요소임을 알 수 있었다. 본 해석은 실제 설계에 활용할 수 있는 효율적이고 신뢰성 있는 방법이다.

• Earthquakes and Structures
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• 제26권4호
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• pp.261-267
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• 2024

With the increase in the exploitation depth of offshore oil and gas, it is possible to control the global buckling of deep-sea pipelines by the snake lay method. Previous studies mainly focused on the analysis of critical buckling force and critical temperature of pipelines under the snake-like laying method, and pipelines often suffer structural failure due to seismic disasters during operation. Therefore, seismic action is a necessary factor in the design and analysis of submarine pipelines. In this paper, the seismic action of steel pipes in the operation stage after global buckling has occurred under the active control method is analyzed. Firstly, we have established a simplified finite element model for the entire process cycle and found that this modeling method is accurate and efficient, solving the problem of difficult convergence of seismic wave and soil coupling in previous solid analysis, and improving the efficiency of calculations. Secondly, through parameter analysis, it was found that under seismic action, the pipe diameter mainly affects the stress amplitude of the pipeline. When the pipe wall thickness increases from 0.05 m to 0.09 m, the critical buckling force increases by 150%, and the maximum axial stress decreases by 56%. In the pipe soil interaction, the greater the soil viscosity, the greater the pipe soil interaction force, the greater the soil constraint on the pipeline, and the safer the pipeline. Finally, the pipeline failure determination formula was obtained through dimensionless analysis and verified, and it was found that the formula was accurate.

• Steel and Composite Structures
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• 제29권3호
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• pp.333-348
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• 2018

An analytical method is developed for analysing the contact buckling response of infinitely long, thin corrugated plates and flat plates restrained by a Winkler tensionless foundation and subjected to linearly varying in-plane loadings, where the corrugated plates are modelled as orthotropic plates and the flat plates are modelled as isotropic plates. The critical step in the presented method is the explicit expression for the lateral buckling mode function, which is derived through using the energy method. Simply supported and clamped edges conditions on the unloaded edges are considered in this study. The acquired lateral deflection function is applied to the governing buckling equations to eliminate the lateral variable. Considering the boundary conditions and continuity conditions at the border line between the contact and non-contact zones, the buckling coefficients and the corresponding buckling modes are found. The analytical solution to the buckling coefficients is also expressed through a fitted approximate formula in terms of foundation stiffness, which is verified through previous studies and finite element (FE) method.

• Steel and Composite Structures
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• 제21권4호
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• pp.849-862
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• 2016

This paper investigates the static buckling behaviours of Functionally Gradient Polymeric Material (FGPM) shells in the form of hemispherical segment. A new FGPM model based on experimental was considered to investigate the buckling problem of thin-walled spherical shells loaded by the external pressure. The spherical shells were formed by FGPM which was produced adding the two types of graphite powders into epoxy resin. The graphite powders were added to the epoxy resin as volume of 3, 6, 9, and 12%. Halpin-Tsai and Paul models were used to determine the elastic moduli of the parts of FGPM. The detailed static buckling analyses were performed by using finite element method. The influences of the types and volume of graphite powders on the buckling behaviour of the FGPM structures were investigated. The buckling loads of hemispherical FGPM shells based on Halpin-Tsai and Paul models were compared with those determined from the analytical solution of non-graphite condition existing for homogeneous material model. The comparisons between these material models showed that Paul model was overestimated. Besides, the critical buckling loads were predicted. The higher critical buckling loads were estimated for the PV60/65 graphite powder due to the compatible of the PV60/65 graphite powder with resin.

• Structural Engineering and Mechanics
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• 제35권5호
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• pp.555-570
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• 2010

Shallow fixed arches have a nonlinear primary equilibrium path with limit points and an unstable postbuckling equilibrium path, and they may also have bifurcation points at which equilibrium bifurcates from the nonlinear primary path to an unstable secondary equilibrium path. When a shallow fixed arch is subjected to a central step load, the load imparts kinetic energy to the arch and causes the arch to oscillate. When the load is sufficiently large, the oscillation of the arch may reach its unstable equilibrium path and the arch experiences an escaping-motion type of dynamic buckling. Nonlinear dynamic buckling of a two degree-of-freedom arch model is used to establish energy criteria for dynamic buckling of the conservative systems that have unstable primary and/or secondary equilibrium paths and then the energy criteria are applied to the dynamic buckling analysis of shallow fixed arches. The energy approach allows the dynamic buckling load to be determined without needing to solve the equations of motion.

• Structural Engineering and Mechanics
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• 제85권3호
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• pp.419-432
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• 2023

This paper studies the effects of porosity distributions on buckling and post-buckling behaviors of a functionally graded saturated porous (FGSP) circular plate. The plate is under the uniformly distributed radial loading and simply supported and clamped boundary conditions. Pores are saturated with compressible fluid (e.g., gases) that cannot escape from the porous solid. Elastic modulus is assumed to vary continuously through the thickness according to three different functions corresponding to three different cases of porosity distributions, including monotonous, symmetric, and asymmetric cases. Governing equations are derived utilizing the classical plate theory and Sanders nonlinear strain-displacement relations, and they are solved numerically via shooting method. Results are verified with the known results in the literature. The obtained results for the monotonous and symmetric cases with the asymmetric case presented in the literature are shown in comparative figures. Effects of the poroelastic material parameters, boundary conditions, and thickness change on the post-buckling behavior of the plate are discussed in details. The results reveal that buckling and post-buckling behaviors of the plate in the monotonous and symmetric cases differ from the asymmetric case, especially in small deflections, that asymmetric distribution of elastic moduli can be the cause.

• Structural Engineering and Mechanics
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• 제49권5호
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• pp.569-595
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• 2014

In this paper, a novel semi-energy finite strip method (FSM) is developed based on the concept of first order shear deformation theory (FSDT) in order to attempt the post-buckling solution for thin and relatively thick functionally graded (FG) plates under uniform end-shortening. In order to study the effects of through-the-thickness shear stresses on the post-buckling behavior of FG plates, two previously developed finite strip methods, i.e., semi-energy FSM based on the concept of classical laminated plate theory (CLPT) and a CLPT full-energy FSM, are also implemented. Moreover, the effects of aspect ratio on initial post-buckling stiffness of FG rectangular plates are studied. It has been shown that the variation of the ratio of initial post-buckling stiffness to pre-buckling stiffness ($S^*/S$) with respect to aspects ratios is quite independent of volume fractions of constituents in thin FG plates. It has also been seen that the universal curve representing the variation of ($S^*/S$) with aspect ratio of a FG plate demonstrate a saw shape curve. Moreover, it is revealed that for the thin FG plates in contrast to relatively thick plates, the variations of non-dimensional load versus end-shortening is independent of ceramic-metal volume fraction index. This means that the post-buckling behavior of thin FG plates and the thin pure isotropic plates is similar. The results are discussed in detail and compared with those obtained from finite element method (FEM) of analysis. The study of the results may have a great influence in design of FG plates encountering post-buckling behavior.

• 한국강구조학회 논문집
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• 제18권5호
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• pp.597-606
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• 2006

섬유강화 플라스틱은 강재의 단점을 보완할 수 있는 다양한 장점을 가지고 있기 때문에 현재 건설구조재로 사용하기 위한 연구가 활발히 진행되고 있다. 본 연구는 펄트루젼 FRP를 구조압축재로 사용하기 위한 설계식의 개발에 관한 연구의 일부로서 설계강도에 가장 큰 영향을 미치는 요소 중 국부좌굴거동에 관한 연구이다. 직교이방성 판요소로 구성된 압축부재의 설계에서 국부좌굴의 발생 여부, 국부좌굴을 주도하는 판요소의 구별 등은 매우 중요한 설계요소이며, 이러한 거동을 정밀해법에 의해 계산하기란 매우 복잡하고 난해하다. 따라서, 본 연구에서는 펄트루젼 압축부재의 설계규준 개발을 위해 필요한 국부좌굴계수를 정밀해법, 에너지법, 매개변수 해석 등의 방법을 적용하여 정확하면서도 쉽게 직교이방성판의 좌굴계수와 펄트루젼 압축부재의 국부좌굴계수를 계산할 수 있는 근사식을 제안하였으며 제안된 근사식을 사용하여 펄트루젼 압축부재의 국부좌굴발생 여부 및 국부좌굴을 주도하는 판요소를 구별할 수 있는 방법을 제안하였다.

• 한국구조물진단유지관리공학회 논문집
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• 제11권2호
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• pp.77-84
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• 2007

본 연구에서는 이방성 재료로 구성된 파형 관로의 좌굴 거동을 분석하였으며, 좌굴거동에 영향을 미치는 변수로서 파형의 높이와 길이, 암거의 직경과 두께가 고려되었다. 또한 이방성 재료의 특성을 고려하여, 길이방향의 강성과 원주방향의 강성도 함께 좌굴거동에 영향을 미치는 인자로서 고려되었다. 다양한 형상의 파형 관로에 대해 유한요소해석을 수행하여 매개변수연구를 하였으며, 유한요소해석 결과를 바탕으로 이방성 재료로 구성된 파형 관로의 좌굴강도를 추정할 수 있는 간략식을 제안하였다. 해석결과, 파형 관로는 일반적인 평탄한 관로에 비해 우수한 좌굴강도를 보였으며, 제안식 또한 유한요소해석 결과에 근접하는 좌굴강도를 보여주었다.