• Title/Summary/Keyword: Power-Law Distribution

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Wind Flow over Hilly Terrain (언덕지형을 지나는 유동에 관한 연구)

  • 임희창;김현구;이정묵;경남호
    • Journal of Korean Society for Atmospheric Environment
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    • v.12 no.4
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    • pp.459-472
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    • 1996
  • An experimental investigation on the wind flow over smooth bell-shaped two-dimensional hills with hill slopes (the ratio of height to half width) of 0.3 and 0.5 is performed in an atmospheric boundary-layer wind tunnel. Two categories of the models are used in the present investigation; six two-dimensional single-hills, and four continuous double-hills. The measurements of the flow field and surface static-pressure distribution are carried out over the Reynolds number (based on the hill height) of 1.9 $\times 10^4, 3.3 \times 10^4, and 5.6 \times 10^4$. The velocity profiles and turbulence characteristics are measured by the pitot-tube and X-type hot-wire anemometer, respectively. The undisturbed boundary-layer profile on the bottom surface of the wind tunnel is reasonably consistent with the power-law profile with $\alpha = 7.0 (1/\alpha$ is the power-law exponent) and shows good spanwise uniformities. The profiles of turbulent intensity are found to be consistent along the centerline of the wind tunnel. The measured non-dimensional speed-up profiles at the hill crest show good agreements with the predictions of Jackson and Hunt's linear theory. The flow separation occurs in the hill slope of 0.5, and the oil-ink dot method is used to find the reattachment points in the leeside of the hill. The measured reattachment points are compared with the numerical predictions. Comparisons of the mean velocity profiles and surface pressure distributions between the numerical predictions and the experimental results show good agreements.

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A simple analytical approach for thermal buckling of thick functionally graded sandwich plates

  • El-Haina, Fouzia;Bakora, Ahmed;Bousahla, Abdelmoumen Anis;Tounsi, Abdelouahed;Mahmoud, S.R.
    • Structural Engineering and Mechanics
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    • v.63 no.5
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    • pp.585-595
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    • 2017
  • This study aimed to presents a simple analytical approach to investigate the thermal buckling behavior of thick functionally graded sandwich by employing both the sinusoidal shear deformation theory and stress function. The material properties of the sandwich plate faces are continuously varied within the plate thickness according to a simple power-law distribution in terms of the volume fractions of the constituents. The core layer is still homogeneous and made of an isotropic material. The thermal loads are considered as uniform, linear and non-linear temperature rises across the thickness direction. Numerical examples are presented to prove the effect of power law index, loading type and functionally graded layers thickness on the thermal buckling response of thick functionally graded sandwich.

Thermo-mechanical vibration analysis of functionally graded micro/nanoscale beams with porosities based on modified couple stress theory

  • Ebrahimi, Farzad;Mahmoodi, Fateme;Barati, Mohammad Reza
    • Advances in materials Research
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    • v.6 no.3
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    • pp.279-301
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    • 2017
  • Thermo-mechanical vibration characteristics of in homogeneousporous functionally graded (FG) micro/nanobeam subjected to various types of thermal loadings are investigated in the present paper based on modified couple stress theory with consideration of the exact position of neutral axis. The FG micro/nanobeam is modeled via a refined hyperbolic beam theory in which shear deformation effect is verified needless of shear correction factor. A modified power-law distribution which contains porosity volume fraction is used to describe the graded material properties of FG micro/nanobeam. Temperature field has uniform, linear and nonlinear distributions across the thickness. The governing equations and the related boundary conditions are derived by Extended Hamilton's principle and they are solved applying an analytical solution which satisfies various boundary conditions. A comparison study is performed to verify the present formulation with the known data in the literature and a good agreement is observed. The parametric study covered in this paper includes several parameters such as thermal loadings, porosity volume fraction, power-law exponents, slenderness ratio, scale parameter and various boundary conditions on natural frequencies of porous FG micro/nanobeams in detail.

Bending and free vibration analysis of functionally graded beams on elastic foundations with analytical validation

  • Hadji, Lazreg;Bernard, Fabrice
    • Advances in materials Research
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    • v.9 no.1
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    • pp.63-98
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    • 2020
  • The novelty of this paper is the use of a simple higher order shear and normal deformation theory for bending and free vibration analysis of functionally graded material (FGM) beams on two-parameter elastic foundation. To this aim, a new shear strain shape function is considered. Moreover, the proposed theory considers a novel displacement field which includes undetermined integral terms and contains fewer unknowns with taking into account the effects of both transverse shear and thickness stretching. Different patterns of porosity distributions (including even and uneven distribution patterns, and the logarithmic-uneven pattern) are considered. In addition, the effect of different micromechanical models on the bending and free vibration response of these beams is studied. Various micromechanical models are used to evaluate the mechanical characteristics of the FG beams for which properties vary continuously across the thickness according to a simple power law. Hamilton's principle is used to derive the governing equations of motion. Navier type analytical solutions are obtained for the bending and vibration problems. Numerical results are obtained to investigate the effects of power-law index, length-to-thickness ratio, foundation parameter, the volume fraction of porosity and micromechanical models on the displacements, stresses, and frequencies.

Effect of non-uniform temperature distributions on nonlocal vibration and buckling of inhomogeneous size-dependent beams

  • Ebrahimi, Farzad;Salari, Erfan
    • Advances in nano research
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    • v.6 no.4
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    • pp.377-397
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    • 2018
  • In the present investigation, thermal buckling and free vibration characteristics of functionally graded (FG) Timoshenko nanobeams subjected to nonlinear thermal loading are carried out by presenting a Navier type solution. The thermal load is assumed to be nonlinear distribution through the thickness of FG nanobeam. Thermo-mechanical properties of FG nanobeam are supposed to vary smoothly and continuously throughout the thickness based on power-law model and the material properties are assumed to be temperature-dependent. Eringen's nonlocal elasticity theory is exploited to describe the size dependency of nanobeam. Using Hamilton's principle, the nonlocal equations of motion together with corresponding boundary conditions based on Timoshenko beam theory are obtained for the thermal buckling and vibration analysis of graded nanobeams including size effect. Moreover, in following a parametric study is accompanied to examine the effects of the several parameters such as nonlocal parameter, thermal effect, power law index and aspect ratio on the critical buckling temperatures and natural frequencies of the size-dependent FG nanobeams in detail. According to the numerical results, it is revealed that the proposed modeling can provide accurate frequency results of the FG nanobeams as compared some cases in the literature. Also, it is found that the small scale effects and nonlinear thermal loading have a significant effect on thermal stability and vibration characteristics of FG nanobeams.

Free vibration response of functionally graded Porous plates using a higher-order Shear and normal deformation theory

  • Bennai, Riadh;Atmane, Hassen Ait;Ayache, Belqassim;Tounsi, Abdelouahed;Bedia, E.A. Adda;Al-Osta, Mohammed A.
    • Earthquakes and Structures
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    • v.16 no.5
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    • pp.547-561
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    • 2019
  • In this work, a new analytical approach using a theory of a high order hyperbolic shear deformation theory (HSDT) has been developed to study the free vibration of plates of functionally graduated material (FGM). This theory takes into account the effect of stretching the thickness. In contrast to other conventional shear deformation theories, the present work includes a new displacement field that introduces indeterminate integral variables. During the manufacturing process of these plates defects can appear as porosity. The latter can question and modify the global behavior of such plates. The materials constituting the plate are assumed to be gradually variable in the direction of height according to a simple power law distribution in terms of the volume fractions of the constituents. The motion equations are derived by the Hamilton principle. Analytical solutions for free vibration analysis are obtained for simply supported plates. The effects of stretching, the porosity parameter, the power law index and the length / thickness ratio on the fundamental frequencies of the FGM plates are studied in detail.

Gamma-Ray and Neutrino Emissions from Starburst Galaxies

  • Ha, Ji-Hoon;Ryu, Dongsu;Kang, Hyesung
    • The Bulletin of The Korean Astronomical Society
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    • v.45 no.1
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    • pp.37.1-37.1
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    • 2020
  • Cosmic-ray protons (CRp) are efficiently produced at starburst galaxies (SBGs), where the star formation rate (SFR) rate is high. In this talk, we present estimates of gamma-ray and neutrino emissions from nearby SBGs, M82, NGC253, and Arp220. Inside the starburst nucleus (SBN), CRp are accelerated at supernova remnant (SNR) shocks as well as at stellar wind (SW) termination shocks, and their transport is governed by the advection due to starburst-driven wind and diffusion mediated by turbulence. We here model the momentum distributions of SNR and SW-produced CRp with single or a double power-law forms. We also employ two different diffusion models, where CRp are resonantly scattered off large-scale turbulence in SBN or self-excited waves driven by CR streaming instability. We then calculate gamma-ray/neutrino fluxes. The observed gamma-ray fluxes by Fermi-LAT, Veritas, and H.E.S.S are well reproduced with double power-law distribution for SNR-produced CRp and the CRp diffusion by self-excited turbulence. The estimated neutrino fluxes are <~10-3 of the atmospheric neutrino flux in the energy range of Eneutrino <~100 GeV and <~10-1 of the IceCube point source sensitivity in the energy range of Eneutrino >~60 TeV.

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Legal Issues on the Franchise Disputes and their Settlement by Arbitration (가맹계약분쟁과 중재에 관한 법적 문제)

  • Choi, Young-Hong
    • Journal of Arbitration Studies
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    • v.17 no.1
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    • pp.57-75
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    • 2007
  • Ever since franchising emerged in the industry of distribution, it has been growing explosively in the U.S.A. and all other countries as well. It is a method of expanding a business by licensing independent businessman to sell the franchiser's products and/or services or to follow a format and trade style created by the franchiser using the franchiser's trade marks and trade names. Franchising is a form of business that touches upon many different areas of law including, but not limited to, general contract law, general principles of commercial law, law of intellectual property, competition law, fair trade practices law and other industry specific laws e.g., the Fair Practices in Franchising Act in Korea. Arbitration is a long established, legally recognized procedure for submitting disputes to an outside person(s), mutually selected by the parties, for a final and binding decision. Despite its merits as an alternative dispute resolution, it has been criticized, on the other hand, particularly by franchisees' attorneys on the ground that even though it is required to protect the franchisees against the enforcement of pre-dispute arbitration agreements because of the franchisees' paucity of bargaining power vis-a-vis the franchiser, arbitration cannot afford it. Until recently, however, little has been written about the legal issues pertaining to franchise agreement and arbitration clause contained therein in Korea. This treatise reviews the cases and arguments in relation to the subject especially of the U.S.A., which have been accumulated for decades. The issues addressed herein are the pre-emption by the FAA, the disputes to be arbitrated, the selection and qualification of arbitrators, the place of arbitration hearings and the evidentiary rules applicable, the expenses of arbitration, theory of fiduciary duty and the like, all of which are relevant to franchise agreement.

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Insights on the rotation measure of the M87 jet on arc-second scales

  • Algaba, Juan-Carlos;Asada, Keiichi;Nakamura, Masanori
    • The Bulletin of The Korean Astronomical Society
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    • v.39 no.2
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    • pp.73.2-73.2
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    • 2014
  • We investigate the rotation measure (RM) of the nearby low luminosity AGN M87 by using archival polarimetric VLA data at 8, 15, 22 and 43 GHz. For the first time, the RM properties of its jet are resolved at at arc-second scales. The distribution of the RM appears to be a gaussian with a mean value of ~200rad/m2 and the power spectrum follows a power law with index -2.5. A simple Kolmogorov model assuming a random turbulent magnetic fields extrinsic to the jet appears not to be adequate to explain the observed RM power spectra. On the other hand, underlying RM gradients possibly connected with the jet could be a possible interpretation.

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Calculation of Power Frequency Electromagnetic Field Around the Kyeongbu High Speed Railways (경부고속철도 주변의 60 Hz 전자계 분포 예측에 관한 연구경부고속철도)

  • Kim, E.S.;Myung, S.H.;Lee, B.Y.;Han, I.S.;Park, J.K.
    • Proceedings of the KIEE Conference
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    • 1997.07e
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    • pp.1648-1650
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    • 1997
  • The effects of power frequency electric and magnetic fields have been a source of concern for many years. Electromagnetic fields can pose a theat to both signal system of electrified railways and human body around railways. It is believed that, though the electromagnetic fields do no serious harm to human health, they do induce biological effects. This paper estimates the electromagnetic fields near Kyeongbu high speed railways with numerical data. The charge simulation method and surface charge method are used to calculate the electric field of 2 dimensional power distribution lines and rails and magnetic field is calculated on the base of Biot-Sarart's law.

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