• Structural Engineering and Mechanics
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• 제22권2호
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• pp.151-167
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• 2006

A p-version of the finite element method in conjunction with the modeling dynamic method using the arc-length stretch deformation is considered to determine the bending natural frequencies of a cantilever flexible plate mounted on the periphery of a rotating hub. The plate Fourier p-element is used to set up the linear equations of motion. The transverse displacements are formulated in terms of cubic polynomials functions used generally in FEM plus a variable number of trigonometric shapes functions representing the internals DOF for the plate element. Trigonometric enriched stiffness, mass and centrifugal stiffness matrices are derived using symbolic computation. The convergence properties of the rotating plate Fourier p-element proposed and the results are in good agreement with the work of other investigators. From the results of the computation, the influences of rotating speed, aspect ratio, Poisson's ratio and the hub radius on the natural frequencies are investigated.

• Structural Engineering and Mechanics
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• 제61권1호
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• pp.31-47
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• 2017

As a relatively new type of multi-layered rubber-based seismic isolators, fiber-reinforced elastomeric isolators (FREIs) are composed of several thin rubber layers reinforced with flexible fiber sheets. Limited analytical studies in literature have pointed out that "warping" (distortion) of reinforcing sheets has significant influence on buckling behavior of FREIs. However, none of these studies, to the best knowledge of authors, has investigated their warping behavior, thoroughly. This study aims to investigate, in detail, the warping behavior of strip-shaped FREIs by deriving advanced analytical solutions without utilizing the commonly used "pressure", incompressibility, inextensibility and the "linear axial displacement variation through the thickness" assumptions. Studies show that the warping behavior of FREIs mainly depends on the (i) aspect ratio (shape factor) of the interior elastomer layers, (ii) Poisson's ratio of the elastomer and (iii) extensibility of the fiber sheets. The basic assumptions of the "pressure" method as well as the commonly used incompressibility assumption are valid only for isolators with relatively large shape factors, strictly incompressible elastomeric material and nearly inextensible fiber reinforcement.

• 산업경영시스템학회지
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• 제20권43호
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• pp.205-209
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• 1997

One objective of the u control chart is to detect changes of mean nonconformities per unit occurred owing to various causes. This paper shows the detection probability using the Poisson distribution for various parameters, that is, subsample size n, mean nonconformities per unit $u_o$, and $u_o's$ change ratio k. We find that (1) as $u_o$ increases the smaller n is required for the same detection probability and the same change ratio; (2) as k gets away from 1 the smaller n is required; (3) the bigger n is required for the bigger detection probability. Several tables are given from our findings and are hoped to be used as guidelines for u chart users.

• EDISON SW 활용 경진대회 논문집
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• 제5회(2016년)
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• pp.228-233
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• 2016

Auxetic material is a material which has negative Poisson's ratio(NPR). Auxetic material shows some distinctive property like high energy absorbing property and high shear modulus. Among these, synclastic curvature is very interesting characteristic. When synclastic-curvature-material bends, it changes its shape like dome, contrary to non-auxetic material which changes its shape like saddle(anticlastic). This distinctive property could make it easy to manufacture curved structure like nose cone or wing panel in aerospace engineering. In this study, we studied a quantitative analysis about synclastic curvature of re-entrant panel with finite element model. We suggested a concept 'Degree of Synclasticity(DOS)', which means a ratio of curvature of load-direction and load-orthogonal direction. We studied the variation of DOS with two factor, unit cell inner angle(${\theta}$) and load position angle(${\phi}$). DOS decreases as ${\theta}$ increases because the unit cell goes out of auxetic-shape. As ${\phi}$ varies, DOS changes in a large range. So proper optimization of ${\phi}$ would be needed for application.

• Elastomers and Composites
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• 제57권3호
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• pp.114-120
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• 2022

The tensile properties of the extruded PC film were measured in the extrusion direction and perpendicular to the extrusion direction. The measured properties were the elastic modulus and Poisson's ratio at the glass transition temperature of PC. The measured orthotropic properties of the film were used for the computer simulation of vacuum forming. In this simulation, three mold shapes were tested: dome, trapezoid, and cubic, and the vacuum was applied between the mold surface and the heated film. The stress, strain, thickness, and stretch ratio distributions of the film in different mold shapes were observed and compared. The thermoforming simulation method used in this study and the obtained results, considering the determined orthotropic properties, can be applied to the thermoforming of various three-dimensional shapes.

• Coupled systems mechanics
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• 제11권5호
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• pp.389-409
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• 2022

During the manufacture of FGM plates, defects such as porosities can appear. Those can change the entire behavior of these plates. This paper aims to investigate the free vibration characteristics of porous functionally graded (FG) plates resting on elastic foundations. 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. Different types of porosity distribution rates are considered. To examine the accuracy of the present formulation, several comparison studies are investigated. Effects of variation of porosity distribution rate, foundation parameter, power-law index and thickness ratio on the fundamental frequency of plates have been investigated.

• Structural Engineering and Mechanics
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• 제71권5호
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• pp.525-544
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• 2019

In the present study, buckling and free vibration analyses of annular thin sector plate made of functionally graded materials (FGMs) resting on visco-elastic Pasternak foundation, subjected to external radial, circumferential and shear in-plane loads is investigated. Material properties are assumed to vary along the thickness according to an power law with Poisson's ratio held constant. First, based on the classical plate theory (CPT), the governing equation of motion is derived using Hamilton's principle and then is solved using the generalized differential quadrature method (GDQM). Numerical results are compared to those available in the literature to validate the convergence and accuracy of the present approach. Finally, the effects of power-law exponent, ratio of radii, thickness of the plate, sector angle, and coefficients of foundation on the fundamental and higher natural frequencies of transverse vibration and critical buckling loads are considered for various boundary conditions. Also, vibration and buckling mode shapes of functionally graded (FG) sector plate have been shown in this research. One of the important obtained results from this work show that ratio of the frequency of FG annular sector plate to the corresponding values of homogeneous plate are independent from boundary conditions and frequency number.

• 대한기계학회논문집A
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• 제36권12호
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• pp.1529-1534
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• 2012

본 연구에서는 DIC 법을 이용하여 두께 $12{\mu}m$ 의 구리박막에 대한 인장시험을 수행하였다. 시험결과 정밀한 응력-변형률 곡선의 시험결과를 얻을 수 있었으며, 특히 잉크젯프린터를 이용한 시험편 표면 스펙클패턴의 작성은 DIC 법을 적용하기가 어려운 시험편 표면의 콘트라스트가 낮은 경우에 유용하게 사용할 수 있을 것이다. 측정된 구리박막의 기계적 물성은 탄성계수 E = 89.2 GPa, 0.2% 오프셋 항복응력 $S_{0.2%}$= 232.8 MPa, 인장강도 $S_u$= 319.2 MPa, 파단연신률 ${\varepsilon}_f$= 16.8 %, Poisson 비 ${\nu}$= 0.34 의 결과를 얻었으며, 탄성계수는 알려진 벌크소재에 대한 결과보다는 작다.

• Geomechanics and Engineering
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• 제24권3호
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• pp.267-280
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• 2021

The research presented in this paper deals with dynamic stability analysis of the graphene nanoplatelets (GPLs) reinforced composite spinning disk. The presented small-scaled structure is simulated as a disk covered by viscoelastic substrate which is two-parametric. The centrifugal and Coriolis impacts due to the spinning are taken into account. The stresses and strains would be obtained using the first-order-shear-deformable-theory (FSDT). For Poisson ratio, as well as various amounts of mass densities, the mixture rule is employed, while a modified Halpin-Tsai model is inserted for achieving the elasticity module. The structure's boundary conditions (BCs) are obtained employing GPLs reinforced composite (GPLRC) spinning disk's governing equations applying principle of Hamilton which is based on minimum energy and ultimately have been solved employing numerical approach called generalized-differential quadrature-method (GDQM). Spinning disk's dynamic properties with different boundary conditions (BCs) are explained due to the curves drawn by Matlab software. Also, the simply-supported boundary conditions is applied to edges 𝜃=𝜋/2, and 𝜃=3𝜋/2, while, cantilever, respectively, is analyzed in R=R_i, and R₀. The final results reveal that the GPLs' weight fraction, viscoelastic substrate, various GPLs' pattern, and rotational velocity have a dramatic influence on the amplitude, and vibration behavior of a GPLRC rotating cantilevered disk. As an applicable result in related industries, the spinning velocity impact on the frequency is more effective in the higher radius ratio's amounts.

• 자원환경지질
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• 제44권3호
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• pp.229-238
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• 2011

가스하이드레이트 부존량 평가에 있어서 해당 부존 지역의 S파 속도 정보는 암상과 공극유체의 정보를 파악하는데 결정적인 역할을 한다. 만일 퇴적층 내에 가스하이드레이트가 존재한다면 이 층에서의 P파 속도와 S파 속도는 동시에 증가하게 되며, 그 하부에 자유가스가 존재하는 경우 P파의 속도는 감소한다. 하지만 S파의 경우 공극을 채우고 있는 유체의 영향을 받지 않고 순수하게 매질을 통해서 진행하므로 하이드레이트 층의 하부에 자유가스층이 존재한다고 해도 그 속도가 변하지 않거나 오히려 매질의 영향으로 그 속도가 증가한다. 본 연구에서는 이러한 특성을 확인하기 위해 울릉분지의 가스하이드레이트 유망지역 중 탄성파 단면상에서 BSR(해저변 모방 반사면)이 강하게 분포하는 한 지점에서 한국지질자원연구원이 2009년 5월에 OBS(해저면 탄성파 기록계)를 이용하여 취득한 해저면 다성분 탄성파 자료를 이용하여 가스하이드레이트 부존 심도 부근의 P파 빛 모드전환 S파의 속도를 구하였다.OBS의 하이드로폰(hydrophone) 성분에 기록된 P파 자료를 이용하여 탄성파 주시 역산법을 수행하여 P파 속도 및 섬도 구조를 도출하였다. 해당지역에 취득한 2차원 반사법 탐사 자료는 기본 전산처리를 통해 구한 탐사지역의 기본 층서모델을 초기모델로 삼았다. 여기에 수평 2성분 지오폰(geophone)에 기록된 자료의 극성 분석을 통해 S파의 에너지가 최대로 모인 radial 성분 단면도를 생성하고 여기서 발췌한 주요 S파 이벤트의 주시를 이용해 포아송 비 정모델링을 수행하여 OBS가 위치한 지점에서의 포아송 비와 S파 속도구조를 최종적으로 도출하였다. 본 연구를 통해 탐사지역의 가스하이드레이트 존재로 인한 BSR 상하부 층의 P파 속도 역전 현상과 P파와는 달리 BSR 상부에서 히부로 갈수록 S파의 속도가 약간 증가하는 경향을 보여 결과적으로 자유가스층의 존재로 인한 BSR 하부에서 포아송 비 감소현상이 뚜렷함을 확인하였다.