• Title/Summary/Keyword: Gradient Index

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The Vegetation of Mt. Choksang (赤裳山의 植生)

  • Kim, Chang-Hwan;Seon-Hee Kang;Bong-Seop Kil
    • The Korean Journal of Ecology
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    • v.14 no.2
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    • pp.137-148
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    • 1991
  • The forest vegation and their structural characteristics in mt. chokang were investgated by phytosociological survey and ordination. It was classified five forests such as quercus tschonoskii community and fraxinus mandshurica community and this result has confirmed to coincide with community ciassification by polar ordination. Chang of diversity index was shown to decase, whereas dominance index, to increase according to chang high altitude. By soil moisture gradient, distribution pattern of fraxinus mandshurica, acer mono, carpinus cordata was in moist, but quercus serrata,˘quercus variabilis and mongolica, dry habitats.

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A nonlocal strain gradient theory for scale-dependent wave dispersion analysis of rotating nanobeams considering physical field effects

  • Ebrahimi, Farzad;Haghi, Parisa
    • Coupled systems mechanics
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    • v.7 no.4
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    • pp.373-393
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    • 2018
  • This paper is concerned with the wave propagation behavior of rotating functionally graded temperature-dependent nanoscale beams subjected to thermal loading based on nonlocal strain gradient stress field. Uniform, linear and nonlinear temperature distributions across the thickness are investigated. Thermo-elastic properties of FG beam change gradually according to the Mori-Tanaka distribution model in the spatial coordinate. The nanobeam is modeled via a higher-order shear deformable refined beam theory which has a trigonometric shear stress function. The governing equations are derived by Hamilton's principle as a function of axial force due to centrifugal stiffening and displacement. By applying an analytical solution and solving an eigenvalue problem, the dispersion relations of rotating FG nanobeam are obtained. Numerical results illustrate that various parameters including temperature change, angular velocity, nonlocality parameter, wave number and gradient index have significant effect on the wave dispersion characteristics of the understudy nanobeam. The outcome of this study can provide beneficial information for the next generation researches and exact design of nano-machines including nanoscale molecular bearings and nanogears, etc.

Experimental Study of the Axial Slit Wall and Radial Temperature Gradient Effect on Taylor-Couette Flow (Taylor-Couette 유동에서 축방향 홈과 반경방향 온도구배의 영향에 대한 실험적 연구)

  • Lee, Sang-Hyuk;Kim, Hyoung-Bum
    • Journal of the Korean Society of Visualization
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    • v.6 no.2
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    • pp.33-38
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    • 2008
  • The effect of the radial temperature gradient and the presence of slits in the wall of outer of two cylinders involved in creating a Taylor-Couette flow was investigated by measuring the velocity field inside the gap. The slits were azimuthally located along the inner wall of the outer cylinder and the number of slits used in this study was 18. The radius ratio and aspect ratio of the models were 0.825 and 48, respectively. The heating film wrapped around the inner cylinder was used for generating the constant heat flux and we ensured the constant temperature condition at the outer space of the outer cylinder. The velocity fields were measured by using the PIV(particle image velocimetry) method. The refractive index matching method was applied to remove image distortion. The results were compared with plain wall configuration of Taylor-Couette flow. From the results, the presence of slits in the wall of outer cylinder and temperature gradient increased the flow instability.

Nonlocal strain gradient-based vibration analysis of embedded curved porous piezoelectric nano-beams in thermal environment

  • Ebrahimi, Farzad;Daman, Mohsen;Jafari, Ali
    • Smart Structures and Systems
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    • v.20 no.6
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    • pp.709-728
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    • 2017
  • This disquisition proposes a nonlocal strain gradient beam theory for thermo-mechanical dynamic characteristics of embedded smart shear deformable curved piezoelectric nanobeams made of porous electro-elastic functionally graded materials by using an analytical method. Electro-elastic properties of embedded curved porous FG nanobeam are assumed to be temperature-dependent and vary through the thickness direction of beam according to the power-law which is modified to approximate material properties for even distributions of porosities. It is perceived that during manufacturing of functionally graded materials (FGMs) porosities and micro-voids can be occurred inside the material. Since variation of pores along the thickness direction influences the mechanical and physical properties, so in this study thermo-mechanical vibration analysis of curve FG piezoelectric nanobeam by considering the effect of these imperfections is performed. Nonlocal strain gradient elasticity theory is utilized to consider the size effects in which the stress for not only the nonlocal stress field but also the strain gradients stress field. The governing equations and related boundary condition of embedded smart curved porous FG nanobeam subjected to thermal and electric field are derived via the energy method based on Timoshenko beam theory. An analytical Navier solution procedure is utilized to achieve the natural frequencies of porous FG curved piezoelectric nanobeam resting on Winkler and Pasternak foundation. The results for simpler states are confirmed with known data in the literature. The effects of various parameters such as nonlocality parameter, electric voltage, coefficient of porosity, elastic foundation parameters, thermal effect, gradient index, strain gradient, elastic opening angle and slenderness ratio on the natural frequency of embedded curved FG porous piezoelectric nanobeam are successfully discussed. It is concluded that these parameters play important roles on the dynamic behavior of porous FG curved nanobeam. Presented numerical results can serve as benchmarks for future analyses of curve FG nanobeam with porosity phases.

Analysis of Hollow Optical Fiber with Graded-Index Profile (언덕형 Hollow Optical Fiber의 전계 해석)

  • Pee, Joong-Ho;Jeong, Woo-Jin;Kim, Chang-Min
    • Korean Journal of Optics and Photonics
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    • v.17 no.6
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    • pp.493-499
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    • 2006
  • Arbitrary graded-index HOF(Hollow Optical Fibers) are analyzed using the modified Airy function, and the corresponding eigenvalue equation that renders precise results is derived. For graded index HOF, the gradient of an evanescent field in hollow region could be adjusted more sharply than the conventional step-index HOF and the feasibility of more effective atom-guiding is confirmed.

Comparison on Ecological Index Characteristics between Zacco platypus and Zacco koreanus by Stream order in Korea (하천차수에 따른 피라미와 참갈겨니 개체군의 생태지표 특성 비교)

  • Lee, Seung-Hyun;Jeong, Hyun-Gi;Shin, Hyun-Seon;Shin, Yuna;Lee, Su-Woong;Lee, Jae-Kwan
    • Korean Journal of Ecology and Environment
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    • v.50 no.4
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    • pp.403-410
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    • 2017
  • We collected fishes at the 12,873 sites in stream order (1~7) from 2008 to 2016. In the results, two populations(Zacco platypus and Zacco koreanus) represented distributional differences in the stream order gradient, and correlation analysis showed that the two populations had a potential competitive relationship. The ecological characteristics of the fish except for the Z. platypus and the Z. koreanus, according to the gradient of stream order showed a pronounced gradient in the species such as intermediate species, sensitive species, carnivores, herbivores and omnivores. The two populations showed a high correlation between intermediate species, sensitive species of the tolerance guild and omnivores, insectivores of the trophic guild. Fish assessment index (FAI) was negative relation with stream order. According to the stream order gradient, the two populations showed different correlations with FAI.

Ordination Analysis on the Forest Communities of Mt. Changan , Chonbuk (序列法에 依한 全北 長安山 森林群落 分析)

  • Kim, Chang-Hwan;Kil, Bong-Seop
    • The Korean Journal of Ecology
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    • v.14 no.3
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    • pp.231-241
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    • 1991
  • The analyses of correlation, enviromental gradient, continuum and polar ordination methods were used for studing on relationships between forest vegetation and their habitats in Mt. changan, chagsu-gun, korea. influencing correlation of moisture index to the main 41species from the study area they were composed of several groups by leading species of quercus mongoulica, that of carpinus tschonoskii and that of fraxinus mandshurica. On the other hand, it was found three communities in different habitats by environmental gradient i.e. each community of f. mandshurica, mangnolia sieboldii and hydrangea serrata for. acuminata have occurred in moist place, that of c. teschonoskii and q. serrata, in mesic and that of q. mongolica, q.variabilis, rhododendron schlippenbachii, in dry. in addition an occupied distribution area was investigated according to continuum index e.g. cornus controversa,betula costata,q. variabilis, q. serrata and q. mongolica over altitudinal 800m were distributed to a habitat were forming climax by q. mongolica, and/or c. controversa, f. mandshurica, q. serrata and c. tschonoskii under altitudinal 800m were done, by g. tschonoskii. while the forest vegetation of the area was classified into 6 communities such as q. mongolica community, q. variabilis community,q. serrata community, g. tschonoskii community,c. controversa community and f. mandshurica community by means of polar ordination analysis and these have come under the influence of environmental factors.

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Dynamic model updating of the laminated composite plate using natural frequencies measured from modal test (고유진동수의 실험값을 사용한 복합재 적층판의 동적 모델링 개선)

  • 홍단비;유정규;박성호;김승조
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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    • 1998.04a
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    • pp.340-346
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    • 1998
  • In order to improve the prediction of dynamic behavior in structures, several lower vibration modes from FFT analysis through experiments are used to update the mechanical properties followed by the updated frequencies from numerical analysis. Performance index consists of the sum of error norms between the chosen frequencies and corresponding frequencies from numerical analysis. As an updating process of the natural frequencies, the optimization algorithm based on conjugate gradient method is adopted. The gradient of performance index is calculated using the sensitivity of selected eigenvalues with respect to each design parameter. The mechanical properties of lamina, E$\_$l/, E$\_$2/, .nu.$\_$12/ and G$\_$12/, are design parameters for the updating process. The proposed method is applied to predict the dynamic behavior of composite laminated plates of [0]$\_$8T/ and [.+-.45]$\_$2S/ separately or interchangeably. Also, the mixed case for [0]$\_$8T/ and [.+-.45]$\_$2S/ is exarm'ned to check the possibility for the improved prediction generally. The good agreement is obtained between the measured frequencies and the numerical ones. Based on the results for all the cases studied, the proposed approach has a clear potential in characterizing the mechanical properties of composite lamina.

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The Detection of the Internal Defect in the Glass Using Auto Focusing Method (자동 초점 기법을 이용한 유리 내부 결함 검출)

  • Jy, Yong-Woo;Jhang, Kyung-Young;Jung, Ji-Hwa;Kim, Suk-Jun
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.28 no.7
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    • pp.1047-1054
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    • 2004
  • Internal defects in the glass, like-as micro-voids, micro-cracks, or inclusions, easily cause the failure when the glass is exposed to the shock or the thermal variation. In order to produce the highly reliable glass product, the precision inspection of the defect in the glass is required. For this purpose, this paper proposes a machine vision technique based on the auto-focusing method, which searches the defect and measures the location under the fact that the edge image of defect must be the most clear when the focal plane of CCD camera is coincided with the defect. As for the search index, the gradient indicator is presented. The basic principles are verified through the simulations for the computer-generated defect images, where the affects of defect shape, gray level of background, and the brightness of the defect image are also analyzed. Finally, experimental results for actual glass specimens are shown to confirm the applicability of this method to the actual field.

Static analysis of functionally graded non-prismatic sandwich beams

  • Rezaiee-Pajand, M.;Masoodi, Amir R.;Mokhtari, M.
    • Advances in Computational Design
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    • v.3 no.2
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    • pp.165-190
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    • 2018
  • In this article, the static behavior of non-prismatic sandwich beams composed of functionally graded (FG) materials is investigated for the first time. Two types of beams in which the variation of elastic modulus follows a power-law form are studied. The principle of minimum total potential energy is applied along with the Ritz method to derive and solve the governing equations. Considering conventional boundary conditions, Chebyshev polynomials of the first kind are used as auxiliary shape functions. The formulation is developed within the framework of well-known Timoshenko and Reddy beam theories (TBT, RBT). Since the beams are simultaneously tapered and functionally graded, bending and shear stress pushover curves are presented to get a profound insight into the variation of stresses along the beam. The proposed formulations and solution scheme are verified through benchmark problems. In this context, excellent agreement is observed. Numerical results are included considering beams with various cross sectional types to inspect the effects of taper ratio and gradient index on deflections and stresses. It is observed that the boundary conditions, taper ratio, gradient index value and core to the thickness ratio significantly influence the stress and deflection responses.