• Structural Engineering and Mechanics
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• 제44권3호
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• pp.339-361
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• 2012

Large amplitude free vibration and thermal post-buckling of shear flexible Functionally Graded Material (FGM) beams is studied using finite element formulation based on first order Timoshenko beam theory. Classical boundary conditions are considered. The ends are assumed to be axially immovable. The von-Karman type strain-displacement relations are used to account for geometric non-linearity. For all the boundary conditions considered, hardening type of non-linearity is observed. For large amplitude vibration of FGM beams, a comprehensive study has been carried out with various lengths to height ratios, maximum lateral amplitude to radius of gyration ratios, volume fraction exponents and boundary conditions. It is observed that, for FGM beams, the non-linear frequencies are dependent on the sign of the vibration amplitudes. For thermal post-buckling of FGM beams, the effect of shear flexibility on the structural response is discussed in detail for different volume fraction exponents, length to height ratios and boundary conditions. The effect of shear flexibility is observed to be predominant for clamped beam as compared to simply supported beam.

• 대한건축학회논문집:구조계
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• 제35권8호
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• pp.139-148
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• 2019

The lightweight structures such as domes are particularly vulnerable when it has been subjected to high temperature induced by the fire. It is therefore crucial to predict the possible instability path of structures exposed to the fire in structural design process. In this study, the instabilities of single-layer domes is investigated by using finite element technologies with the consideration of high temperature. The material properties of members under high temperature are considered by using the reduction factors which is provided in Eurocodes 3. Some damage patterns are assumed with use of a structural unit which is symmetric in radial direction. For numerical evaluations, the geometrically nonlinear truss element is implemented and the arch-length control method is employed to trace the post-buckling behaviour of domes. From numerical results, it is found to be that a significant change of post-buckling behaviour is detected in dome structures when structural members are exposed to the fire.

• Advances in nano research
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• 제13권4호
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• pp.393-406
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• 2022

In the present article, functionally graded small-scaled plates based on modified strain gradient theory (MSGT) are studied for analyzing the nonlinear bending and post-buckling responses. Von-Karman's assumptions are applied to incorporate geometric nonlinearity and the first-order shear deformation theory is used to model the plates. Modified strain gradient theory includes three length scale parameters and is reduced to the modified couple stress theory (MCST) and the classical theory (CT) if two or all three length scale parameters become zero, respectively. The Ritz method with Legendre polynomials are used to approximate the unknown displacement fields. The solution is found by the minimization of the total potential energy and the well-known Newton-Raphson technique is used to solve the nonlinear system of equations. In addition, numerical results for the functionally graded small-scaled plates are obtained and the effects of different boundary conditions, material gradient index, thickness to length scale parameter and length to thickness ratio of the plates on nonlinear bending and post-buckling responses are investigated and discussed.

• Advances in nano research
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• 제4권1호
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• pp.51-64
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• 2016

This paper investigates the effects of thermal load and shear force on the buckling of nanobeams. Higher-order shear deformation beam theories are implemented and their predictions of the critical buckling load and post-buckled configurations are compared to those of Euler-Bernoulli and Timoshenko beam theories. The nonlocal Eringen elasticity model is adopted to account a size-dependence at the nano-scale. Analytical closed form solutions for critical buckling loads and post-buckling configurations are derived for proposed beam theories. This would be helpful for those who work in the mechanical analysis of nanobeams especially experimentalists working in the field. Results show that thermal load has a more significant impact on the buckling behavior of simply-supported beams (S-S) than it has on clamped-clamped (C-C) beams. However, the nonlocal effect has more impact on C-C beams that it does on S-S beams. Moreover, it was found that the predictions obtained from Timoshenko beam theory are identical to those obtained using all higher-order shear deformation theories, suggesting that Timoshenko beam theory is sufficient to analyze buckling in nanobeams.

• Earthquakes and Structures
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• 제16권5호
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• pp.589-599
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• 2019

Conventional buckling restrained braces used in concentrically braced frames are expected to yield in both tension and compression without major degradation of capacity under severe seismic ground motions. One of the weakness points of a standard buckling restrained braced frame is the low post-yield stiffness and thus large residual deformation under moderate to severe ground motions. This phenomenon can be attributed to low post-yield stiffness of core member in a BRB. This paper introduces a multi-core buckling restrained brace. The multi-core term arises from the use of more than one core component with different steel materials, including high-performance steel (HPS-70W) and stainless steel (304L) with high strain hardening properties. Nonlinear dynamic time history analyses were conducted on variety of diagonally braced frames with different heights, in order to compare the seismic performance of regular and multi-core buckling restrained braced frames. The results exhibited that the proposed multi-core buckling restrained braces reduce inter-story and especially residual drift demands in BRBFs. In addition, the results of seismic fragility analysis designated that the probability of exceedance of residual drifts in multi-core buckling restrained braced frames is significantly lower in comparison to standard BRBFs.

• 한국강구조학회 논문집
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• 제19권6호
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• pp.725-735
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• 2007

이 연구에서는 두께가 얇은 강판을 가진 철골-콘크리트 합성기둥에서 강판의 국부 좌굴 강도 및 국부 좌굴 후 강도에 대한 해석적인 연구를 수행하였다. 콘크리트 충전에 의하여 합성기둥에서 판의 국부 좌굴 성능이 향상되는 것을 경계 조건을 조정하여 해석에 반영하였고, 탄성 좌굴 해석을 통해 한계 폭-두께비를 제안하였다. 또한 초기 처짐 및 잔류 응력을 해석에 반영하여, 다양한 폭-두께비에 해당하는 평판의 비선형 유한 요소 해석을 통해 초기 국부 좌굴 강도 및 좌굴 후 강도를 산정하였다. 이러한 비선형 해석 결과를 이용하여 판의 유효 폭을 산정하였고, 유효 폭을 이용한 철골-콘크리트 합성기둥의 최대 압축 내력식을 제안하였다. 제안식에 의한 계산된 값과 기존의 실험결과를 비교함으로서 제안식의 타당성을 검증하였다.

• 한국강구조학회 논문집
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• 제20권3호
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• pp.377-387
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• 2008

트러스 구조는 단면의 효율이 높고, 단순하면서도 합리적인 형태로 사용될 수 있어 입체적인 대공간 구조의 지붕구조에 자주 사용되는 구조이지만, 구조물을 구성하는 부재의 수가 방대하며 세장하게 된다. 또한 구조물 전체의 거동은 개부재의 좌굴에 지배되는 경우가 대부분이므로 트러스 구조를 해석할 경우에는 개부재의 탄소성 좌굴거동 및 좌굴 후 거동을 고려하는 것이 필수적이다. 반복 축 하중을 받는 트러스 부재의 좌굴 후 거동을 해석하기 위해서는 일반적으로 보 요소를 이용한 요소분할 모델 및 소성힌지 모델이 사용되지만, 전체 구조물을 해석할 경우 계산 부하 및 불안정성이 증가하므로 유용한 방법이라고 할 수 없다. 본 연구에서는 트러스 부재의 탄소성 좌굴거동을 표현할 수 있는 해석기법의 개발을 목적으로, 열역학을 사용한 정식화를 통해 1개의 요소로 부재 전체의 거동을 표현 가능한 수치해석 기법을 유도한다. 제안모델은 부재의 요소 분할을 필요로 하지 않으므로 계산상의 효율성이 높은 모델이며 부재 중앙의 회전변위를 부재내력의 손상정도로 판단하여 좌굴 후 거동을 표현하는 데미지 모델 및 세장비가 작은 경우에 유용한 근사해석법 등을 제안한다. 또한 2종류의 제안모델 해석결과와 유한요소법의 분할모델 해석결과를 비교하여, 제안모델의 신뢰성을 검토하였다.

• 해양환경안전학회지
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• 제24권2호
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• pp.260-266
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• 2018

곡률을 갖고 있는 쉘 부재들은 선박 및 육상구조 내에서 캠버와 선수, 선미, 파이프 및 저장용 탱크에 주로 사용되고 있다. 이러한 곡률 쉘 부재들은 기본적으로 원통형 실린더 부재의 일부라고 간주할 수 있다. 일반적으로 곡률의 존재는 압축하중 작용 시 좌굴강도 및 최종강도를 증가시키는 것으로 알려져 있다. 본 논문에서는 이러한 영향을 확인하기 위하여 탄성대변형 시리즈해석을 수행하였으며, 매개변수의 영향을 분석하였다. 실린더의 최종강도 거동은 초기처짐과 해석모델링 방법에 큰 영향을 받는 것을 확인하였다.

• Structural Engineering and Mechanics
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• 제4권4호
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• pp.397-413
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• 1996

In this paper the elastic post-buckling behaviour of plates under non-uniform compressive edge stress is investigated. The compatibility differential equations is first solved analytically and then an approximate solution of the equilibrium equation is obtained using the Galerkin method. Explicit expressions are derived for the load-deflection, ultimate strength and membrane stress distributions. Analytical effective width formulations, based on the characteristics of the stress field of the buckled plate, are proposed for this general loading condition. The predicted load-deflection expression is compared with independent test results. Results are also presented detailing the load-deflection behaviour and stress distribution for various aspect ratios.

• 한국공간구조학회:학술대회논문집
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• 한국공간구조학회 2005년도 춘계학술발표회 및 정기총회 2권1호(통권2호)
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• pp.154-160
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• 2005

The present study is concerned with the application of dynamic relaxation method in the investigation of the large deflection behavior of spatial structures. The dynamic relaxation do not require the computation or formulation of any tangent stiffness matrix. The convergence to the solution is achieved by using only vectorial quantities and no stiffness matrix is required in its overall assembled form. In an effort to evaluate the merits of the methods, extensive numerical studies were carried out on a number of selected structural systems. The advantages of using dynamic relaxation methods, in tracing the post-buckling behavior of spatial structures, are demonstrated.