• Earthquakes and Structures
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• 제10권5호
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• pp.1033-1048
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• 2016

An analytical solution based on the neutral surface concept is developed to study the free vibration behavior of simply supported functionally graded plate reposed on the elastic foundation by taking into account the effect of transverse shear deformations. No transversal shear correction factors are needed because a correct representation of the transversal shearing strain obtained by using a new refined shear deformation theory. The foundation is described by the Winkler-Pasternak model. The Young's modulus of the plate is assumed to vary continuously through the thickness according to a power law formulation, and the Poisson ratio is held constant. The equation of motion for FG rectangular plates resting on elastic foundation is obtained through Hamilton's principle. Numerical examples are provided to show the effect of foundation stiffness parameters presented for thick to thin plates and for various values of the gradient index, aspect and side to thickness ratio. It was found that the proposed theory predicts the fundamental frequencies very well with the ones available in literature.

• 한국지반공학회지:지반
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• 제10권1호
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• pp.27-46
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• 1994

본 연구는 미소 변형률범위($10^{-5}$이하)에서 파괴상태까지의 변형률을 정밀하게, 그리고 연속적 으로 구하기 위해 필요한 미소 변위 측정시스템을 보고하고,이 측정 시스템을 이용하여 평면 변 형률 상태에서의 모래의 미소거동을 자세히 연구하였다. 그 결과, Rowe의 응력-다이러턴시 관계는 전단변형률 $10^{-5}$이하의 극히 미소한 변형률 수준에서 파괴상태까지 성립하였다. 그러나, R=K.D에서 K값은모래의 종류에 따라달랐다. 또, 과압밀비가 탄성영역상태에서의 포아송비(${\nu}_{psc}^e$) 및 Rowe의 응력-다이러턴시 관계에 미치는 영향 은 거의 없다는 것을 알았다.

• Smart Structures and Systems
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• 제26권4호
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• pp.469-480
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• 2020

This is the first research on the smart control and vibration analysis of a Graphene nanoplatelets (GPLs) Reinforced Composite (GPLRC) porous cylindrical shell covered with piezoelectric layers as sensor and actuator (PLSA) in the framework of numerical based Generalized Differential Quadrature Method (GDQM). The stresses and strains are obtained using the First-order Shear Deformable Theory (FSDT). Rule of the mixture is employed to obtain varying mass density and Poisson's ratio, while the module of elasticity is computed by modified Halpin-Tsai model. The external voltage is applied to sensor layer and a Proportional-Derivative (PD) controller is used for sensor output control. Governing equations and boundary conditions of the GPLRC cylindrical shell are obtained by implementing Hamilton's principle. The results show that PD controller, length to radius ratio (L/R), applied voltage, porosity and weight fraction of GPL have significant influence on the frequency characteristics of a porous GPLRC cylindrical shell. Another important consequence is that at the lower value of the applied voltage, the influence of the smart controller on the frequency of the micro composite shell is much more significant in comparison with the higher ones.

• Structural Engineering and Mechanics
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• 제85권4호
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• pp.445-459
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• 2023

The current investigation is the first endeavor to apply the full layerwise finite element method (FEM) in free vibration analysis of functionally graded (FG) composite plates reinforced with graphene nanoplatelets (GPLs) in thermal environment. Unlike the equivalent single-layer (ESL) theories, the layerwise FEM focuses on all three-dimensional (3D) effects. The GPLs weight fraction is presumed invariable in each layer but varies through the plate thickness in a layerwise model. The modified Halpin-Tsai model is employed to acquire the effective Young's modulus. The rule of mixtures is applied to specify the effective Poisson's ratio and mass density. First, the current method is validated by comparing the numerical results with those stated in the available works. Next, a thorough numerical study is performed to examine the influence of various factors involving the pattern of distribution, weight fraction, geometry, and size of GPLs, together with the thickness-to-span ratio, thermal environment, and boundary conditions of the plate, on its free vibration behaviors. Numerical results demonstrate that employing a small percentage of GPL as reinforcement considerably grows the natural frequencies of the pure epoxy. Also, distributing more square-shaped GPLs, involving a smaller amount of graphene layers, and vicinity to the upper and lower surfaces make it the most efficient method to enhance the free vibration behaviors of the plate.

• 대한기계학회논문집
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• 제15권6호
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• pp.2002-2014
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• 1991

본 연구에서는 모재균열의 열림변위로 인한 변형을 고려하여, 모재균열 주위 의 응력분포를 구하기 위한 2차원 해석방법을 제안한다. 제안된 방법은 두께방향 다 항식 형태로 가정된 변위성분으로부터 모재균열 주쥐의 변위, 응력분포를 구한다. 본 방법은 적층판의 프아송비(Poisson's ratio) 효과와 열잔류응력(thermal residual stress)의 영향을 고려하였으며, 계면층(interface layer) 개념을 사용하여 특성손상 상태 이후에 발생하는 층간분리를 평가하기 위한 기초자료인 층간수직응력과 층간전단 응력을 결정하였다. 제안된 방법의 타당성을 검증하기 위하여, 유한요소해석(finite element analysis)을 수행하여 제안된 방법의 응력분포 결과를 유한요소해석 결과와 비교하여 보았다.

• 대한기계학회논문집A
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• 제35권3호
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• pp.281-287
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• 2011

얇은 관 탄성좌굴 공식의 불확실성을 고려하기 위해, 공식을 구성하는 파라미터인 튜브재료의 탄성계수, 푸아송 비, 튜브 두께 및 지름의 불확실성을 분석하였다. 본 연구는 원자로에서 연소되는 핵연료봉과 같이 사용 중 함몰을 엄격히 방지하고 있는 얇은 관의 설계신뢰도를 향상시키는 데에 중요하다. 분석 방법은 각각의 파라미터가 변화할 수 있는 범위를 충분히 포함할 수 있는 최소의 탄성좌굴 안전율을 구하고 이를 선형적으로 합하여 최종의 최소안전율을 구하였다. 최소 안전율에 가장 큰 영향을 미치는 파라미터는 관의 두께로 나타났다. 두께가 얇을수록 더 큰 최소안전율이 필요하며 예로 적용한 지르코늄 합금관의 경우, 두께가 0.254 와 0.87 mm 일 때 최소안전율은 각각 1.547 과 3.487 로 나타났다.

• Nuclear Engineering and Technology
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• 제41권3호
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• pp.327-334
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• 2009

Elastic wave is one of the most useful tools for non-destructive tests in nuclear power plants. Since the elastic properties are indispensable for analyzing the behaviors of elastic waves, they should be predetermined within an acceptable accuracy. Nuclear power plants are exposed to harsh environmental conditions and hence the structures are degraded. It means that the Young's modulus becomes unreliable and in-situ measurement of Young's modulus is required from an engineering point of view. Young's modulus is estimated from the group velocity of propagating waves. Because the flexural wave of a plate is inherently dispersive, the group velocity is not clearly evaluated in temporal signal analysis. In order to overcome such ambiguity in estimation of group velocity, Wigner-Ville distribution as the time-frequency analysis technique was proposed and utilized. To verify the proposed method, experiments for steel and acryl plates were performed with accelerometers. The results show good estimation of the Young's modulus of two plates.

• Geomechanics and Engineering
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• 제25권3호
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• pp.221-231
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• 2021

A two dimensional model of linearly elastic soil spring used for the settlement analysis of the flexible mat foundation is suggested in this study. The spring constants of the soils underneath the foundation were modeled assuming uniformly vertical load applied onto the foundation. The soil spring constants were back calculated using the three-dimensional finite element analysis with Midas GTS NX program. Variation of the soil spring constants was modeled as a two-dimensional polynomial function in terms of the normalized spatial distances between the center of foundation and the analytical points. The Lysmer's analog spring for soils underneath the rigid foundation was adopted and calibrated for the flexible foundation. For validations, the newly proposed soil spring model was incorporated into a two dimensional finite difference analysis for a square mat foundation at the surface of an elastic half-space consisting of soft clays. Comparative study was made for elastic soils where the shear wave velocity is 120~180 m/s and the Poisson's ratio varies at 0.3~0.5. The resulting foundation settlements from the two dimensional finite difference analysis with the proposed soil springs were found in good agreement with those obtained directly from three dimensional finite element analyses. Details of the applications and limitations of the modified Lysmer's analog springs were discussed in this study.

• Advances in concrete construction
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• 제15권2호
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• pp.115-126
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• 2023

This paper investigates creep analysis of a plate made of Al-SiC functionally graded material using Mendelson's method of successive elastic solution. All mechanical and thermal material properties, except Poisson's ratio, are assumed to be variable along the thickness direction based on the volume fraction of reinforcement and thickness. First, the basic relations of the plate are derived using the Love-Kirchhoff plate theory. The solution of governing equations yields an elastic solution to start creep analysis. The creep behavior is demonstrated through Norton's equation based on Pandey's experimental results extracted for Al-SiC functionally graded material. A linear variation is assumed for temperature distribution along the thickness direction. The creep strain, as well as the thermal strain, are included in the governing equations derived from classical plate theory for mechanical strain. A successive elastic solution based on Mendelson's method is employed to derive the history of stresses, strains, and displacements over a long time. History of stresses and deformations are obtained over a long time to predict damage to the plate because of various loadings, and material composition along the thickness and planar directions.

• 한국지반공학회논문집
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• 제35권7호
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• pp.41-50
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• 2019

국내 고준위폐기물처분장 공학적방벽(EBS)의 일부가 되는 완충재로 경주 벤토나이트가 우선적으로 고려되고 있다. 압축벤토나이트는 지하수침투로 인한 팽윤압과 처분용기에서 발산되는 열응력을 경험한다. 따라서 EBS의 성능평가를 위해서 역학적 물성의 산정이 중요하다. 본 논문은 탄성파를 이용하여 경주 압축벤토나이트의 변형특성 측정을 목표로 하였다. 두 개의 $1.59g/cm^3$와 $1.75g/cm^3$의 건조밀도를 가지는 압축벤토나이트 시편을 제작하였고, 자유단-자유단 공진주시험을 수행하여 구속압축파속도와 비구속압축파속도를 측정하였다. 측정된 압축파속도를 이용하여 미소변형에서의 탄성계수($E_{max}$), 구속탄성계수($M_{max}$), 감쇠비($D_{min}$), 포아송비를 측정하였다. 그 결과로 경주 압축벤토나이트의 변형특성을 산정 제시하여 선행연구 결과들과 비교 분석하였다.