• 제목/요약/키워드: Power-Law Distribution

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Analysis of wave propagation and free vibration of functionally graded porous material beam with a novel four variable refined theory

  • Ayache, Belqassim;Bennai, Riadh;Fahsi, Bouazza;Fourn, Hocine;Atmane, Hassen Ait;Tounsi, Abdelouahed
    • Earthquakes and Structures
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    • 제15권4호
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    • pp.369-382
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    • 2018
  • A free vibration analysis and wave propagation of functionally graded porous beams has been presented in this work using a high order hyperbolic shear deformation theory. Unlike other conventional shear deformation theories, a new displacement field that introduces indeterminate integral variables has been used to minimize the number of unknowns. The constituent materials of the beam are assumed gradually variable along the direction of height according to a simple power law distribution in terms of the volume fractions of the constituents. The variation of the pores in the direction of the thickness influences the mechanical properties. It is therefore necessary to predict the effect of porosity on vibratory behavior and wave velocity of FG beams in this study. A new function of the porosity factor has been developed. Hamilton's principle is used for the development of wave propagation equations in the functionally graded beam. The analytical dispersion relationship of the FG beam is obtained by solving an eigenvalue problem. Illustrative numerical examples are given to show the effects of volume fraction distributions, beam height, wave number, and porosity on free vibration and wave propagation in a functionally graded beam.

A four variable trigonometric integral plate theory for hygro-thermo-mechanical bending analysis of AFG ceramic-metal plates resting on a two-parameter elastic foundation

  • Tounsi, Abdelouahed;Al-Dulaijan, S.U.;Al-Osta, Mohammed A.;Chikh, Abdelbaki;Al-Zahrani, M.M.;Sharif, Alfarabi;Tounsi, Abdeldjebbar
    • Steel and Composite Structures
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    • 제34권4호
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    • pp.511-524
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    • 2020
  • In this research, a simple four-variable trigonometric integral shear deformation model is proposed for the static behavior of advanced functionally graded (AFG) ceramic-metal plates supported by a two-parameter elastic foundation and subjected to a nonlinear hygro-thermo-mechanical load. The elastic properties, including both the thermal expansion and moisture coefficients of the plate, are also supposed to be varied within thickness direction by following a power law distribution in terms of volume fractions of the components of the material. The interest of the current theory is seen in its kinematics that use only four independent unknowns, while first-order plate theory and other higher-order plate theories require at least five unknowns. The "in-plane displacement field" of the proposed theory utilizes cosine functions in terms of thickness coordinates to calculate out-of-plane shear deformations. The vertical displacement includes flexural and shear components. The elastic foundation is introduced in mathematical modeling as a two-parameter Winkler-Pasternak foundation. The virtual displacement principle is applied to obtain the basic equations and a Navier solution technique is used to determine an analytical solution. The numerical results predicted by the proposed formulation are compared with results already published in the literature to demonstrate the accuracy and efficiency of the proposed theory. The influences of "moisture concentration", temperature, stiffness of foundation, shear deformation, geometric ratios and volume fraction variation on the mechanical behavior of AFG plates are examined and discussed in detail.

북한 지역에서의 30년 동안의 평균 바람 지도

  • 서은경;윤준희;박영산
    • 한국지구과학회:학술대회논문집
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    • 한국지구과학회 2010년도 춘계학술발표회 논문집
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    • pp.79-79
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    • 2010
  • 이 연구는 북한지역의 풍력 자원을 조사하기 위한 사전 연구로 30년간의 북한 지역의 27개 지상 관측소의 풍속 (고도 10 m)을 수집하였다. 이 풍속을 고도 50 m로 환산하였으며, 풍속의 확률밀도함수를 Weibull 함수로 가정하여 분석하였다. 30년 동안의 지상 관측 자료를 바탕으로 볼 때, 대체적으로 황해도 해안지역과 개마고원지역에서 평균 풍속이 북한 전역에서의 평균 풍속 4.0 m/s 보다 큰 지역이 나타났다. 따라서, 해안지역에서 바람 자원이 풍부함을 알 수 있었다. 지역의 차이는 있으나, 봄철 동안의 주풍은 북서풍과 남풍계열이 대등하게 나타나고 있으며, 여름은 남풍계열의 바람이 주풍으로 변하며, 가을과 겨울 동안 북서풍 계열이 주된 바람이었다. 고도 80 m 에서 풍속이 5 m/s 이상 지속되는 기간이 연간 30% 이상인 주요 6지점 중 장진을 제외한 나머지 네 곳은 해안에 위치함을 알 수 있다. 북한 지역 내륙의 중심부인 장진에서 연간 평균풍속 4.7 m/s 이상으로 관측 되었다. 이 지역은 개마고원 일대로 낭림산맥과 함경산맥의 두줄기가 만나는 곳으로 산맥에 의해 뒤쪽이 막혀있어 바람이 집중되어 높은 풍속을 나타낸 것으로 보인다. 또한 이 지역은 고원지대에 위치하여 북쪽에서 고도 1 km 이상에서 강하게 불어오는 북서풍의 영향으로 풍속이 높게 나타나는 것으로 보인다. 이 연구에서 사용한 관측자료는 단순히 지상의 풍속과 풍력으로만 분석한 것이므로 몇 가지 제약성을 가지고 있어 추후 보강이 필요하다. 관측지점의 지리적 위치나 주변의 환경에 따라 풍황의 변화가 크게 달라질 수 있으므로, 북한의 지형적인 요인을 고려한 정확한 실측을 통해 정확도를 높이는 풍력 자원 조사가 뒷받침 되어야 한다. 이 연구의 가치는 30년간의 바람 자료를 이용하였기 때문에 북한 지역에서의 풍황을 보는데 중요한 정성적 자료로 쓰여질 수 있으리라 본다. 또한, 이 자료를 바탕으로 풍력에너지 발전의 후보지 선정에 유용하게 활용되기를 기대하며, 더 나아가 두 나라 간에 에너지 교류가 활발히 이루어지기를 바란다.

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Polarization of Rayleigh Scattered Lyα in Active Galactic Nuclei

  • Chang, Seok-Jun;Lee, Hee-Won;Yang, Yujin
    • 천문학회보
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    • 제41권1호
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    • pp.70.3-70.3
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    • 2016
  • Active galactic nuclei (AGNs) typically show a non-thermal continuum locally represented by a power-law and many prominent emission lines in the UV and optical regions. AGNs are classified by two types, where Type I AGNs exhibit both broad and narrow lines and only narrow lines are observed in Type 2 AGNs. The unification models of AGNs invoke the existence of a molecular torus just outside of the broad line region. In the presence of a high column HI region associated with the molecular torus, we propose that significant fraction of broad line photons near Lyman series can be scattered by atomic hydrogen in the torus. In particular, $Ly{\alpha}$ being the strongest emission line, strong linear polarization may develop around $Ly{\alpha}$ through Rayleigh scattering. We adopt a Monte Carlo technique to investigate the polarized transfer of $Ly{\alpha}$ in a thick HI region with the shape of a torus. We consider the range of HI column density N_HI = 1020-23 with fixed geometric parameters of the torus such as the inner and outer radii and the height. We present the polarized spectra and angular distribution of Rayleigh scattered radiation around $Ly{\alpha}$. We find that the $Ly{\alpha}$ core part is polarized in the direction perpendicular to the symmetry axis whereas in the far wing part it is polarized in the parallel direction. It is concluded that the unification of AGNs implies that $Ly{\alpha}$ can be uniquely polarized through Rayleigh scattering.

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An interpretation of potential catastrophic collision at P/2010 A2

  • Kim, Yoonyoung;Ishiguro, Masateru;Michikami, Tatsuhiro;Nakamura, Akiko M.
    • 천문학회보
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    • 제41권1호
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    • pp.49.1-49.1
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    • 2016
  • Solar System has evolved with numerous collisions among asteroids. Ancient catastrophic collisions of large parent bodies led the formation of asteroid families and relevant dustband structures up to the present day, and it would be interesting to address a question - "what happens if an asteroid collides with another asteroid?" Recent discoveries of "active asteroids" in the main-belt have attracted interest for their potential to witness a catastrophic collision in the current Solar System. So far, however, there is no direct evidence for catastrophic collision on active asteroids while several objects have been confirmed for other mechanisms (e.g., 596 Scheila for impact cratering, P/2013 R3 and P/2013 P5 for rotational breakup). The most potential candidate for catastrophic collision could be a sub-km active asteroid P/2010 A2, which is still controversial on its driving mechanism, but if confirmed, would have made P/2010 A2 the unique example of catastrophic collision on the current main asteroid belt. In this presentation, we revisit all of archival data of P/2010 A2 in a combination with our own observation using Subaru/Suprime-Cam on 2011 June, where we have a great benefit of a large orbital coverage. We found a grain size dependence of dust ejection velocity from P/2010 A2 (a power-law size distribution with an index of k~ -1/10), which is favorable to a catastrophic disruption scenario in agreement with laboratory impact experiments. At this conference, we plan to provide our understanding of the morphology of P/2010 A2 through a perspective of catastrophic collision.

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StrokeBase: A Database of Cerebrovascular Disease-related Candidate Genes

  • Kim, Young-Uk;Kim, Il-Hyun;Bang, Ok-Sun;Kim, Young-Joo
    • Genomics & Informatics
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    • 제6권3호
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    • pp.153-156
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    • 2008
  • Complex diseases such as stroke and cancer have two or more genetic loci and are affected by environmental factors that contribute to the diseases. Due to the complex characteristics of these diseases, identifying candidate genes requires a system-level analysis of the following: gene ontology, pathway, and interactions. A database and user interface, termed StrokeBase, was developed; StrokeBase provides queries that search for pathways, candidate genes, candidate SNPs, and gene networks. The database was developed by using in silico data mining of HGNC, ENSEMBL, STRING, RefSeq, UCSC, GO, HPRD, KEGG, GAD, and OMIM. Forty candidate genes that are associated with cerebrovascular disease were selected by human experts and public databases. The networked cerebrovascular disease gene maps also were developed; these maps describe genegene interactions and biological pathways. We identified 1127 genes, related indirectly to cerebrovascular disease but directly to the etiology of cerebrovascular disease. We found that a protein-protein interaction (PPI) network that was associated with cerebrovascular disease follows the power-law degree distribution that is evident in other biological networks. Not only was in silico data mining utilized, but also 250K Affymetrix SNP chips were utilized in the 320 control/disease association study to generate associated markers that were pertinent to the cerebrovascular disease as a genome-wide search. The associated genes and the genes that were retrieved from the in silico data mining system were compared and analyzed. We developed a well-curated cerebrovascular disease-associated gene network and provided bioinformatic resources to cerebrovascular disease researchers. This cerebrovascular disease network can be used as a frame of systematic genomic research, applicable to other complex diseases. Therefore, the ongoing database efficiently supports medical and genetic research in order to overcome cerebrovascular disease.

등가강도 개념에 의한 탄소섬유 복합재료의 이축강도 및 피로수명 예측 (Prediction of Biaxial Strength and Fatigue Life using the Concept of Equivalent Strength)

  • 이창수;황운봉
    • Composites Research
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    • 제12권2호
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    • pp.53-61
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    • 1999
  • 복합재료의 파단식은 강도계수의 산정이 쉽고, 형상이 유연하며, 논리적인 단순성을 유지하기 위하여 각 파단모드와 하중조건을 고려하는 것이 바람직하다. 본 연구에서는 인장 및 비틀림의 이축하중에 대한 등가강도를 도입함으로써 새로운 파단식을 유도하였다. 이축 실험 결과는 등가이축강도가 cos($tan^{-1}R_b$)의 지수함수로 표현됨을 보였다. 이축하중의 파단강도는 일방향 인장강도 및 비틀림강도와 이축비의 함수로 예측할 수 있다. 실험 데이터의 산포성은 Weibull 분포함수와 등가이축강도 개념을 이용하여 분석하였다. 또한, 일방향 인장 및 비틀림 S-N 선도로부터 복합하중하의 S-N 선도를 구할 수 있는 피로해석법을 평면 응력 모델을 기반으로 개발하였다. 예측결과는 적층복합재료의 이축강도와 피로수명의 실험 데이터와 잘 일치하였다.

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Free vibration of FGM plates with porosity by a shear deformation theory with four variables

  • Yousfi, Mahfoud;Atmane, Hassen Ait;Meradjah, Mustapha;Tounsi, Abdelouahed;Bennai, Riadh
    • Structural Engineering and Mechanics
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    • 제66권3호
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    • pp.353-368
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    • 2018
  • In this work, a high order hyperbolic shear deformation theory with four variables is presented to study the vibratory behavior of functionally graduated plates. The field of displacement of the theory used in this work is introduced indeterminate integral variables. In addition, the effect of porosity is studied. It is assumed that the material characteristics of the porous FGM plate, varies continuously in the direction of thickness as a function of the power law model in terms of volume fractions of constituents taken into account the homogeneous distribution of porosity. The equations of motion are obtained using the principle of virtual work. An analytical solution of the Navier type for free vibration analysis is obtained for a FGM plate for simply supported boundary conditions. A comparison of the results obtained with those of the literature is made to verify the accuracy and efficiency of the present theory. It can be concluded from his results that the current theory is not only accurate but also simple for the presentation of the response of free vibration and the effect of porosity on the latter.

DISCOVERY OF A STRONG LENSING GALAXY EMBEDDED IN A CLUSTER AT z = 1.62

  • WONG, KENNETH C.;TRAN, KIM-VY H.;SUYU, SHERRY H.;MOMCHEVA, IVELINA G.;BRAMMER, GABRIEL B.;BRODWIN, MARK;GONZALEZ, ANTHONY H.;HALKOLA, ALEKSI;KACPRZAK, GLENN G.;KOEKEMOER, ANTON M.;PAPOVICH, CASEY J.;RUDNICK, GREGORY H.
    • 천문학논총
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    • 제30권2호
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    • pp.389-392
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    • 2015
  • We identify a strong lensing galaxy in the cluster IRC 0218 that is spectroscopically confirmed to be at z = 1.62, making it the highest-redshift strong lens galaxy known. The lens is one of the two brightest cluster galaxies and lenses a background source galaxy into an arc and a counterimage. With Hubble Space Telescope (HST) grism and Keck/LRIS spectroscopy, we measure the source redshift to be $z_S=2.26$. Using HST imaging, we model the lens mass distribution with an elliptical power-law profile and account for the effects of the cluster halo and nearby galaxies. The Einstein radius is $^{\theta}E=0.38^{+0.02{\prime}{\prime}}_{-0.01}$ ($3.2^{+0.2}_{-0.1}kpc$) and the total enclosed mass is $M_{tot}(<^{\theta}_E)=1.8^{+0.2}_{-0.1}{\times}10^{11}M_{\odot}$. We estimate that the cluster environment contributes ~ 10% of this total mass. Assuming a Chabrier IMF, the dark matter fraction within $^{\theta}E$ is $f^{Chab}_{DM}=0.3^{+0.1}_{-0.3}$, while a Salpeter IMF is marginally inconsistent with the enclosed mass ($f^{Salp}_{DM}=-0.3^{+0.2}_{-0.5}$).

A new simple three-unknown shear deformation theory for bending analysis of FG plates resting on elastic foundations

  • Hachemi, Houari;Kaci, Abdelhakim;Houari, Mohammed Sid Ahmed;Bourada, Mohamed;Tounsi, Abdelouahed;Mahmoud, S.R.
    • Steel and Composite Structures
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    • 제25권6호
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    • pp.717-726
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    • 2017
  • In this paper, a new simple shear deformation theory for bending analysis of functionally graded plates is developed. The present theory involves only three unknown and three governing equation as in the classical plate theory, but it is capable of accurately capturing shear deformation effects, instead of five as in the well-known first shear deformation theory and higher-order shear deformation theory. A shear correction factor is, therefore, not required. 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. Equations of motion are obtained by utilizing the principle of virtual displacements and solved via Navier's procedure. The elastic foundation is modeled as two parameter elastic foundation. The results are verified with the known results in the literature. The influences played by transversal shear deformation, plate aspect ratio, side-to-thickness ratio, elastic foundation, and volume fraction distributions are studied. Verification studies show that the proposed theory is not only accurate and simple in solving the bending behaviour of functionally graded plates, but also comparable with the other higher-order shear deformation theories which contain more number of unknowns.