• Structural Engineering and Mechanics
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• 제10권4호
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• pp.337-357
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• 2000

Analytical formulations and solutions for the first time, to the stability analysis of a simply supported composite and sandwich plates based on a higher order refined theory, developed by the first author and already reported in the literature are presented. The theoretical model presented herein incorporates laminate deformations which account for the effects of transverse shear deformation, transverse normal strain/stress and a nonlinear variation of inplane displacements with respect to the thickness coordinate - thus modelling the warping of transverse cross sections more accurately and eliminating the need for shear correction coefficients. The equations of equilibrium are obtained using the Principle of Minimum Potential Energy (PMPE). The comparison of the results using this higher order refined theory with the available elasticity solutions and the results computed independently using the first order and the other higher order theories developed by other investigators and available in the literature shows that this refined theory predicts the critical buckling load more accurately than all other theories considered in this paper. New results for sandwich laminates are also presented which may serve as a benchmark for future investigations.

• 대한토목학회논문집
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• 제10권2호
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• pp.39-48
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• 1990

큰 동하중을 받는 낮은 아치는 큰 변형이 발생하므로 선형해석으로는 실제적으로 정확한 해석이 어렵다. 따라서 본 연구에서는 낮은 원호아치의 동적 비선형 해석방법을 제시하였으며, 제시된 방법을 토대로 낮은 아치의 동적 비선형 해석을 수행하고 임계좌굴하중을 구할 수 있는 프로그램을 개발 하였다. 형상의 비선형성은 Lagrangian 운동좌표를 고려하여 해석하였으며 동적운동방정식을 풀기 위하여 유한요소법을 사용하였다. 이때 동적운동방정식의 시간적분으로 Newmark 해법을 채택하였다. 프로그램은 만재 방사형등분포하중을 받는 낮은 원호아치를 해석하여 그 결과치를 다른 연구결과와 비교하여 검증하였다. 모형해석을 통해서는 큰동하중을 받는 원호아치는 기하학적 비선형 거동을 고려하여 해석되어야 하며, 아치가 낮아질수록 좌굴발생가능성이 높아짐을 알았다. 또한 여러가지 형상의 아치에 대한 좌굴 해석을 실시하여 임계좌굴하중을 구하였으며 기왕의 연구와 비교하여 정확성을 확인하였다.

• 한국강구조학회 논문집
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• 제13권4호
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• pp.351-361
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• 2001

골조의 보-기둥 접합부는 보통 강접합과 반강접합 또는 핀접합으로 구성된 분류체계에서 평가되어 진다. 대표적인 분류체계로는 EC3와 Bjorhovede등에 의한 체계가 있다. 그런데 EC3의 경우 강접합과 반강접합 사이의 경계값은 접합부의 모멘트 강도와 강성 면에서 너무나 높은 제한선을 가지고 있고, Bjorhovede등의 경우 강접합일 때의 거동을 표현하는데 부적한 강성을 갖을 수 있다는 문제점을 안고 있다. 본 연구에서는 스프링으로 모델링된 접합부를 갖는 비가새 1층 1경간의 골조를 대상으로 기둥에 대한 보의 강성비 ($\rho$)와 보에 대한 접합부의 강성비(k)로 완전 강접 골조의 임계하중과 접합부를 갖는 골조의 임계하중을 비교하여, 수정된 분류체계를 제안한다. 제안된 분류체계가 EC3나 Bjorhovede등과 비교할 때 실용적이고 실제적임을 실험데이터를 이용해서 검증하였다.

• 한국강구조학회 논문집
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• 제15권2호
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• pp.97-107
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• 2003

복합재료 적층판의 보다 정확한 해석결과를 얻기 위해서는 종방향 전단변형, 종방향 수직 변형률/응력에 의한 효과와 두께방향좌표에 관한 면내변위의 비선형 변화등이 고려되어야 한다. 본 연구에서는 3차원 고차이론을 이용하여 복합적층판의 좌굴하중 및 고유진동수를 구하였다. 단순지지된 적층판과 샌드위치의 해는 이중삼각함수형태의 Fourier 급수로 변환한 Navier 해법을 사용하였고, 일차전단변형, 고차전단변형이론에 의한 결과와 비교 분석하였다. 본 연구는 매개변수 즉, 보강각도, 적층수와 배열조건, 폭-두께비, 형상비의 변화에 따른 수치 해석 결과를 제시하였다.

• Steel and Composite Structures
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• 제44권5호
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• pp.721-740
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• 2022

In this paper, an accurate kinematic model has been developed to study the mechanical response of functionally graded (FG) sandwich beams, mainly covering the bending, buckling and free vibration problems. The studied structure with homogeneous hardcore and softcore is considered to be simply supported in the edges. The present model uses a new refined shear deformation beam theory (RSDBT) in which the displacement field is improved over the other existing high-order shear deformation beam theories (HSDBTs). The present model provides good accuracy and considers a nonlinear transverse shear deformation shape function, since it is constructed with only two unknown variables as the Euler-Bernoulli beam theory but complies with the shear stress-free boundary conditions on the upper and lower surfaces of the beam without employing shear correction factors. The sandwich beams are composed of two FG skins and a homogeneous core wherein the material properties of the skins are assumed to vary gradually and continuously in the thickness direction according to the power-law distribution of volume fraction of the constituents. The governing equations are drawn by implementing Hamilton's principle and solved by means of the Navier's technique. Numerical computations in the non-dimensional terms of transverse displacement, stresses, critical buckling load and natural frequencies obtained by using the proposed model are compared with those predicted by other beam theories to confirm the performance of the proposed theory and to verify the accuracy of the kinematic model.

• 한국소음진동공학회:학술대회논문집
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• 한국소음진동공학회 2007년도 춘계학술대회논문집
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• pp.215-218
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• 2007

In this paper a dynamic behavior(natural frequency) of a cracked cantilever beam subjected to follower force is presented. In addition, an analysis of the flutter and buckling instability of a cracked cantilever beam subjected to a follower compressive load is presented. Based on the Euler-Bernouli beam theory, the equation of motion can be constructed by using the Lagrange's equation. The vibration analysis on such cracked beam is conducted to identify the critical follower force for flutter insstability based on the variation of the first two resonant frequencies of the beam. Besides, the effect of the crack's intensity and location on the flutter follower force is studied. The crack section is represented by a local flexibility matrix connecting two undamaged beam segments. The crack is assumed to be in the first mode of fracture and to be always opened during the vibrations.

• Geomechanics and Engineering
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• 제14권5호
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• pp.499-507
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• 2018

In this paper splitting failure on rock pillars among the underground caverns has been studied. The damaged structure is considered to be thin plates and then the failure mechanism of rock pillars has been studied consequently. The critical load of buckling failure of the rock plate has also been obtained. Furthermore, with a combination of the basic energy dissipation principle, generalized formulas in estimating the number of splitting cracks and in predicting the maximum deflection of thin plate have been proposed. The splitting criterion and the mechanical model proposed in this paper are finally verified with numerical calculations in FLAC 3D.

• 한국복합재료학회:학술대회논문집
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• 한국복합재료학회 2002년도 추계학술발표대회 논문집
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• pp.5-9
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• 2002

This paper presents a method and procedure for stress analysis and sizing in development of structures of a large composite wind turbine blade. Structural requirement of IEC standard was reviewed to set up appropriate analysis method and procedure. Several structural layouts were examined in a viewpoint of a large scale wind turbine blade. For the critical load cases, stress analysis were performed using finite element method. Stacking sequence and thickness of a laminate for each part and location were determined considering stress levels and producibility. Nonlinear geometric analysis was performed to check stability problem due to local buckling of a skin structures.

• 한국강구조학회 논문집
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• 제8권3호통권28호
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• pp.55-65
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• 1996

For stability analysis of stifened rectangular thin plates with various boundary conditions, Ritz method is presented. An energy method is especially useful in those cases where a rigorous solution of the diferential eqution is unknown or where we have a plate reinforced by stiffeners and it is required to find only an approximate value of the critical load. The strain energy due to the plate bending and the work done by the in-plane forces are taken into account in order to apply the principle of the minimum potential energy. The buckling mode shapes of flexural beams with various boundary conditions are derived, and shape functions consistent with the given boundary conditions in the two orthogonal directions are chosen from those displacement functions of beams. The matrix equations for stability of stiffened rectangular thin plates are determined from the stationary condition of the total potential energy. Numerical example for stability behaviors of horizontally and vertically stiffened plates subjected to uniform compression, bending and shear loadings are presented and the obtained results are compared with other researchers' results.

• 대한조선학회논문집
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• 제33권4호
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• pp.106-123
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• 1996

최근 초고속선을 비롯한 대형 경량구조물의 강도부재로 알루미늄하니콤 샌드위치판이 주목을 받고 있다. 이러한 새로운 구조를 설계에 도입하기 위해서는 이에 대한 각종 구조거동 특성을 알아야 한다. 본 연구에서는 알루미늄하니콤 샌드위치판에 대한 선형 탄성거동을 연구하기 위하여 정적 굽힘실험을 수행하였으며, 이 판의 좌굴 및 최종강도를 연구하기 위하여 1축 압축실험을 수행하였다. 또한, 하니콤 심재의 압괴 및 에너지흡수 특성을 분석하기 위하여 압괴실험도 수행하였다. 이러한 일련의 실험을 통하여 탄성학에 기초한 이론식과 각종 실험식들의 샌드위치 구조에의 유용성을 확인하고 나아가서 간단한 설계지침을 제시하였다.