• 한국지구과학회지
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• 제43권6호
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• pp.661-679
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• 2022

대륙이동설로부터 시작되었고 이후 고지자기 및 해저퇴적물 등의 증거들에 의한 해저확장설을 통하여 정립된 판구조론은, 지각의 운동을 몇 개의 강체 판들이 비록 느리지만 수억 년 이상의 긴 시간 동안 꾸준히 일어나는 움직임으로서 설명하였다. 초기에는 지각판의 속도를 주로 수백만 년 동안의 고지자기 역전의 잔류 기록에 의거하여 판들 간의 상대적 운동으로 추산하였는데, 1980년대 이후에는 우주측지 기법들을 이용하여 현재 시점의 판운동을 직접적으로 조사할 수 있게 되었고, 일부 지역에서 판의 변형이 일어나는 것도 확인하게 되었다. 본 해설에서는 (1) 초기의 상대적인 판운동을 나타내는 모델들을 돌아보고, (2) 무회전 좌표계의 이론과 절대판운동 모델들을 요약-기술하며, (3) 판내부의 변형을 포함하는 최근의 모델을 소개하는 한편, (4) 국제 지구 기준계에 채택된 판운동 모델을 간략히 기술하였고, 끝으로 (5) 근래에 보고된 남미, 남극, 유럽 등 몇 지역과 (6) 한반도 및 동북아의 지각판 움직임 연구를 각각 소개하였다.

• Steel and Composite Structures
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• 제14권1호
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• pp.85-104
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• 2013

The present work deals with the thermomechanical bending response of functionally graded plates resting on Winkler-Pasternak elastic foundations. Theoretical formulations are based on a recently developed refined trigonometric shear deformation theory (RTSDT). The theory accounts for trigonometric distribution of transverse shear stress, and satisfies the free transverse shear stress conditions on the top and bottom surfaces of the plate without using shear correction factor. Unlike the conventional trigonometric shear deformation theory, the present refined trigonometric shear deformation theory contains only four unknowns as against five in case of other shear deformation theories. The material properties of the functionally graded plates are assumed to vary continuously through the thickness, according to a simple power law distribution of the volume fraction of the constituents. The elastic foundation is modelled as two-parameter Pasternak foundation. The results of the shear deformation theories are compared together. Numerical examples cover the effects of the gradient index, plate aspect ratio, side-to-thickness ratio and elastic foundation parameters on the thermomechanical behavior of functionally graded plates. It can be concluded that the proposed theory is accurate and efficient in predicting the thermomechanical bending response of functionally graded plates.

• Structural Engineering and Mechanics
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• 제60권3호
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• pp.489-505
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• 2016

Sinusoidal shear deformation theory (SSDT) is developed here for dynamic buckling of functionally graded (FG) nano-plates. The material properties of plate are assumed to vary according to power law distribution of the volume fraction of the constituents. In order to present a realistic model, the structural damping of nano-structure is considered using Kelvin-Voigt model. The surrounding elastic medium is modeled with a novel foundation namely as orthotropic visco-Pasternak medium. Size effects are incorporated based on Eringen'n nonlocal theory. Equations of motion are derived from the Hamilton's principle. The differential quadrature method (DQM) in conjunction with Bolotin method is applied for obtaining the dynamic instability region (DIR). The detailed parametric study is conducted, focusing on the combined effects of the nonlocal parameter, orthotropic visco-Pasternak foundation, power index of FG plate, structural damping and boundary conditions on the dynamic instability of system. The results are compared with those of first order shear deformation theory and higher-order shear deformation theory. It can be concluded that the proposed theory is accurate and efficient in predicting the dynamic buckling responses of system.

• Earthquakes and Structures
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• 제11권1호
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• pp.63-82
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• 2016

In this study, the bending and dynamic behaviors of laminated composite plates is examined by using a refined shear deformation theory and developed for a bending analysis of orthotropic laminated composite plates under various boundary conditions. The displacement field of the present theory is chosen based on nonlinear variations in the in-plane displacements through the thickness of the plate. By dividing the transverse displacement into the bending and shear parts and making further assumptions, the number of unknowns and equations of motion of the present theory is reduced and hence makes them simple to use. In the analysis, the equation of motion for simply supported thick laminated rectangular plates is obtained through the use of Hamilton's principle. Numerical results for the bending and dynamic behaviors of antisymmetric cross-ply laminated plate under various boundary conditions are presented. The validity of the present solution is demonstrated by comparison with solutions available in the literature. Numerical results show that the present theory can archive accuracy comparable to the existing higher order shear deformation theories that contain more number of unknowns.

• Structural Engineering and Mechanics
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• 제68권3호
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• pp.325-334
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• 2018

The Nonlinear dynamic response of a sandwich plate subjected to the low velocity impact is theoretically and experimentally investigated. The Hertz law between the impactor and the plate is taken into account. Using the Extended High Order Sandwich Panel Theory (EHSAPT) and the Ritz energy method, the governing equations are derived. The skins follow the Third order shear deformation theory (TSDT) that has hitherto not reported in conventional EHSAPT. Besides, the three dimensional elasticity is used for the core. The nonlinear Von Karman relations for strains of skins and the core are adopted. Time domain solution of such equations is extracted by means of the well-known fourth-order Runge-Kutta method. The effects of core-to-skin thickness ratio, initial velocity of the impactor, the impactor mass and position of the impactor are studied in detail. It is found that these parameters play significant role in the impact force and dynamic response of the sandwich plate. Finally, some low velocity impact tests have been carried out by Drop Hammer Testing Machine. The results are compared with experimental data acquired by impact testing on sandwich plates as well as the results of finite element simulation.

• 대한기계학회논문집
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• 제12권3호
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• pp.481-488
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• 1988

본 연구에서는 판이론으로서는 해석할수 없는 집중충격하중의 작용점을 포함 한 유한판(정방형판)의 충격응력을 이론적으로 해석하는 방법을 제안하고저 하며 포성 재료로서 손쉽게 구할수 있고 파괴에 큰 에너지가 소요되지 않은 유리판을 대상으로 하여 3차원 동탄성이론을 이용하여 강구의 고속충돌에 의해서 유리판에 발생하는 충격 응력을 해석하였다. 또한 3차원 동탄성이론에서는 Laplace역변환이 곤난하므로, 고 속 Fourier변환의 알고리즘을 이용하였으며, 충격하중의 크기는 실측이 곤난하여 Lag- range의 고유판이론과 Hertz의 접촉이론으로부터 결정하였으며 단순지지된 정방형유리 판에 고속충격을 가하여 계측된 변형율변동과 본이론해석 결과와를 비교하여 응력해석 방법의 적용성을 명확히 하였다.

• Geomechanics and Engineering
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• 제34권3호
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• pp.233-250
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• 2023

This paper investigates the flexural analysis of isotropic, transversely isotropic, and laminated composite plates using a new higher-order normal and shear deformation theory. In the present theory, only five unknown functions are involved compared to six or more unknowns used in the other similar theories. The developed theory does not need a shear correction factor. It can satisfy the zero traction boundary conditions on the top and the bottom surfaces of the plate as well as account for sufficient distribution of the transverse shear strains. The thickness stretching effect is considered in the computation. A simply supported was considered on all edges of the plate. The plate is subjected to uniform and sinusoidal distributed load in the static analysis. Laminated composite, isotropic, and transversely isotropic plates are considered. The governing equations are obtained utilizing the virtual work principle. The differential equations are solved via Navier's procedure. The results obtained from the developed theory are compared with other higher-order theories considered in the previous studies and 3D elasticity solutions. The results showed that the proposed theory accurately and effectively predicts the bidirectional bending responses of laminated composite plates. Several parametric studies are presented to illustrate the various parameters influencing the static response of the laminated composite plates.

• 한국전산구조공학회:학술대회논문집
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• 한국전산구조공학회 2002년도 봄 학술발표회 논문집
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• pp.292-299
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• 2002

In this paper a new damage identification theory is developed in order to identify the locations, severities, and orientations of local damages, all together at a time, by using the frequency response functions measured from damaged plate. Finally, the effects of damage orientation on the vibration responses of a plate are numerically investigated, and the numerically simulated damage identification tests are conducted to verify the present damage identification theory.

• 한국소음진동공학회:학술대회논문집
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• 한국소음진동공학회 1997년도 추계학술대회논문집; 한국과학기술회관; 6 Nov. 1997
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• pp.173-176
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• 1997

A refined plate theory including the effects of transverse shearing is used to predict the free vibration frequencies, mode shapes and stress distributions in spinning laminated composite plates. In this theory, the displacements are expressed by trigonometric series representation through the thickness. In the series for the displacements only the first few terms are retained. The model is validated by comparing the results for isotropic plates with those available in the literature.

• Journal of the Korean Wood Science and Technology
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• 제32권4호
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• pp.36-45
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• 2004

콘크리트 거푸집용 합판을 직교이방성재료로 구성된 적층판으로 간주하고 네 변이 단순지지된 판의 중앙에 집중하중이 작용할 경우에 대해 적층판이론을 적용하여 휨거동 해석을 수행하였다. 또한, 판의 휨실험을 통해서 얻은 값을 이론에 의해 추정한 값과 비교, 분석하였다. 비교 분석결과, 처짐이 판 두께의 약 1/4 이하에서는 실험값과 이론값이 잘 일치함을 보였고 그 이상에서는 실험에 의한 처짐이 작게 나타났다. 합판을 등방성판으로 간주하여 근사적으로 휨해석을 할 경우 섬유방향의 탄성계수(E₁₁)와 접선방향의 탄성계수(E₂₂)의 기하평균값을 판의 탄성계수로 간주하고 해석하는 것이 실제 휨실험값과 잘 일치함을 알 수 있었다.