• 전산구조공학
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• 제3권1호
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• pp.97-107
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• 1990

본 연구에서는 쉘구조물의 해석을 위한 개선된 degenerated 쉘유한요소를 제시하였다. 본 연구의 개선된 degenerated 쉘요소는 shear locking 해결에 우수한 결과를 보인 가정된 전단변형도를 사용하고, membrane locking 현상을 제거하기 위해 평면내 변형도의 구성시 감차적분을 행하며, 쉘요소자체의 거동을 보완하기위해 비적합 변위형을 선택적으로 추가하였다. 본 요소는 기존 degenerated 요소계열에서 가장 큰 문제점중의 하나인 locking 현상과 전달가능한 거짓영에너지모드가 발생하지 않으며, 조각시험도 통과한다. 본 개선된 쉘요소의 거동을 알아보기위해 다수의 예제시험을 행하였다. 수치시험결과 본 요소는 빠른 수렴성과 안정성을 보여준다.

• Structural Engineering and Mechanics
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• 제5권6호
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• pp.729-741
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• 1997

Cracked reinforced concrete in compression has been observed to exhibit lower strength and stiffness than uniaxially compressed concrete. The so-called compression softening effect responsible is thought to be related to the degree of transverse cracking and straining present. It significantly affects the strength, ductility and load-deformation response of a concrete element. A number of experimental investigations have been undertaken to determine the degree of softening that occurs, and the factors that affect it. At the same time, a number of diverse analytical models have been proposed by various this behavior. In this paper, the softened truss model thoery for low-rise structural shearwalls is employed using the principle of the stress and strain transformations. Using this theory the softening parameters for the concrete struts proposed by Hsu and Belarbi as well as by Vecchio and Collins are examined by 51 test shearwalls available in literature. It is found that the experimental shear strengths and ductilities of the walls under static loads are, in average, very close to the theoretical values; however, the experiment shear strengths and ductilities of the walls under dynamic loads with a low (0.2 Hz) frequency are generally less than the theoretical values.

• Smart Structures and Systems
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• 제18권2호
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• pp.267-291
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• 2016

In this research work, an exact analytical solution for thermal buckling analysis of functionally graded material (FGM) sandwich plates with clamped boundary condition subjected to uniform, linear, and non-linear temperature rises across the thickness direction is developed. Unlike any other theory, the number of unknown functions involved is only four, as against five in case of other shear deformation theories. The theory accounts for parabolic distribution of the transverse shear strains, and satisfies the zero traction boundary conditions on the surfaces of the plate without using shear correction factor. A power law distribution is used to describe the variation of volume fraction of material compositions. Equilibrium and stability equations are derived based on the present refined theory. The non-linear governing equations are solved for plates subjected to simply supported and clamped boundary conditions. The thermal loads are assumed to be uniform, linear and non-linear distribution through-the-thickness. The effects of aspect and thickness ratios, gradient index, on the critical buckling are all discussed.

• Structural Engineering and Mechanics
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• 제78권4호
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• pp.439-453
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• 2021

In this work, quasi three-dimensional (quasi-3D) shear deformation theory is presented for bending and dynamic analysis of functionally graded (FG) plates. The effect of varying material properties and volume fraction of the constituent on dynamic and bending behavior of the FG plate is discussed. The benefit of this model over other contributions is that a number of variables is diminished. The developed model considers nonlinear displacements through the thickness and ensures the free boundary conditions at top and bottom faces of the plate without using any shear correction factors. The basic equations that account for the effects of transverse and normal shear stresses are derived from Hamilton's principle. The analytical solutions are determined via the Navier procedure. The accuracy of the proposed formulation is proved by comparisons with the different 2D, 3D and quasi-3D solutions found in the literature.

• Computers and Concrete
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• 제25권1호
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• pp.37-57
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• 2020

This work investigates a new type of quasi-3D hyperbolic shear deformation theory is proposed in this study to discuss the statics and free vibration of functionally graded porous plates resting on elastic foundations. Material properties of porous FG plate are defined by rule of the mixture with an additional term of porosity in the through-thickness direction. By including indeterminate integral variables, the number of unknowns and governing equations of the present theory is reduced, and therefore, it is easy to use. The present approach to plate theory takes into account both transverse shear and normal deformations and satisfies the boundary conditions of zero tensile stress on the plate surfaces. The equations of motion are derived from the Hamilton principle. Analytical solutions are obtained for a simply supported plate. Contrary to any other theory, the number of unknown functions involved in the displacement field is only five, as compared to six or more in the case of other shear and normal deformation theories. A comparison with the corresponding results is made to verify the accuracy and efficiency of the present theory. The influences of the porosity parameter, power-law index, aspect ratio, thickness ratio and the foundation parameters on bending and vibration of porous FG plate.

• 대한토목학회논문집
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• 제13권5호
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• pp.99-107
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• 1993

본 논문에서는 콘크리트 균열 사이의 인장강성 효과를 고려한 임의의 기하하적 형상을 갖는 철근 콘크리트 쉘을 해석하기 위하여 재료비선형 유한요소 프로그램을 작성하였다. 본 논문은 연속적인 컴퓨터 해석으로 탄성, 비탄성 및 극한 범위에서의 철근과 콘크리트의 응력은 물론, 하중-변위 응답과 균열전파를 추적할 수 있었다. 골재억물림과 철근의 다울작용을 포함하는 유효전단계수를 평가하기 위하여 균열상태의 전단유지계수를 도입하였다. 콘크리트는 인장에서는 취성으로 압축에서는 탄소성으로 가정하였다. 콘크리트의 소성거동은 Drucker-Prager 항복기준과 결합유동법칙에 따르는 것으로 가정하였다. 철근은 Von Mises 항복기준으로 가정하였으며 등가의 두께를 가지는 철근층으로 모델화 하였다. 수치해석을 위하여는 증분형접선강성도 방법을 사용하였다. 수치예제를 제시하여 본 연구결과를 Hedgren의 실험 결과와 Lin의 수치해석과 비교하였다.

• Structural Engineering and Mechanics
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• 제53권6호
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• pp.1215-1240
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• 2015

In this work, a novel simple first-order shear deformation plate theory based on neutral surface position is developed for bending and free vibration analysis of functionally graded plates and supported by either Winkler or Pasternak elastic foundations. By dividing the transverse displacement into bending and shear parts, the number of unknowns and governing equations of the present theory is reduced, and hence, makes it simple to use. The governing equations are derived by employing the Hamilton's principle and the physical neutral surface concept. There is no stretching-bending coupling effect in the neutral surface-based formulation, and consequently, the governing equations and boundary conditions of functionally graded plates based on neutral surface have the simple forms as those of isotropic plates. Numerical results of present theory are compared with results of the traditional first-order and the other higher-order theories reported in the literature. It can be concluded that the proposed theory is accurate and simple in solving the static bending and free vibration behaviors of functionally graded plates.

• 한국산학기술학회논문지
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• 제20권12호
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• pp.614-621
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• 2019

이축 및 일축대칭 단면의 적층복합 보의 휨 해석과 좌굴해석을 위해 일반화된 보 요소를 제안하였다. 전단변형보 이론을 사용하여 유도된 보 요소는 휨 전단변형 및 휨 비틀림과 재료 비등방성 성질에 따른 연계성을 고려하였다. 서로 다른 단면에 대해 해석적 기법으로 구한 단면 강성계수와 함께 평면응력과 평면변형률 가정을 사용하였다. 대칭 및 역대칭 적층복합 보의 휨 거동을 조사하기 위해 뒴 변형을 포함하여 절점 당 7개의 자유도를 가진 두 가지 유형의 3절점, 4절점 보 요소를 제안하였다. 전단잠금 현상을 완화하기 위해 본 연구에서는 감차적분 기법을 사용하였다. 또한, 유도된 기하학적 블록강성을 사용하여 축방향 압축력을 받는 적층복합 보의 좌굴하중을 산정하였다. 제시한 보 요소의 정확성과 효율성을 검증하기 위해 3절점 보 요소에 근거한 결과를 다른 연구자와 ABAQUS 유한요소 해석결과와 비교하였다. 적층복합 보의 휨 거동과 좌굴하중에 대한 연계강성과 전단변형, 경계조건, 하중형태, 길이-높이 비, 적층형태의 영향을 조사하였다. 두 개의 다른 보 요소의 수렴성도 제시하였다.

• 한국항공우주학회지
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• 제30권5호
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• pp.9-14
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• 2002

열-기계-전기 하중이 완전 연계된 스마트 구조물의 응력과 변형을 정확히 예측할 수 있는 판 이론을 개발하였다. 두께 방향으로 변위와 온도장은 3차 곡선에 선형 지그재그 장을 중첩하여 구하였다. 횡 수직방향 변형을 고러하기 위해 횡 수직 변위를 두께방향으로, 포물선으로 가정하였다. 전기장은 선형지그재그 형태로 가정하였다. 스마트 구조물의 층에 의존하는 변위장과 온도장의 자유도를 층 사이의 연속조건과, 평판의 위 아래 횡 방향 전단응력이 존재하지 않는다는 조건으로부터, 기준면에 의한 자유도로 나타내었다. 수치 예를 통해 제안된 이론의 정확도와 효율성을 평가하였다. 본 연구에서 제시한 고차 지그재그 이론은 열 환경 하에서 두꺼운 지능 복합재료 평판의 정적, 동적 거동 해석에 사용될 수 있다.

• Smart Structures and Systems
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• 제18권6호
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• pp.1125-1143
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• 2016

Forced vibration analysis of a simple supported viscoelastic nanobeam is studied based on modified couple stress theory (MCST). The nanobeam is excited by a transverse triangular force impulse modulated by a harmonic motion. The elastic medium is considered as Winkler-Pasternak elastic foundation.The damping effect is considered by using the Kelvin-Voigt viscoelastic model. The inclusion of an additional material parameter enables the new beam model to capture the size effect. The new non-classical beam model reduces to the classical beam model when the length scale parameter is set to zero. The considered problem is investigated within the Timoshenko beam theory by using finite element method. The effects of the transverse shear deformation and rotary inertia are included according to the Timoshenko beam theory. The obtained system of differential equations is reduced to a linear algebraic equation system and solved in the time domain by using Newmark average acceleration method. Numerical results are presented to investigate the influences the material length scale parameter, the parameter of the elastic medium and aspect ratio on the dynamic response of the nanobeam. Also, the difference between the classical beam theory (CBT) and modified couple stress theory is investigated for forced vibration responses of nanobeams.