• Title/Summary/Keyword: Modulus function

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A Variable Modulus Algorithm using Sigmoid Nonlinearity with Variable Variance (가변 분산을 갖는 시그모이드 비선형성을 이용한 가변 모듈러스 알고리즘)

  • Kim Chul-Min;Choi Ik-Hyun;Oh Kil-Nam
    • Proceedings of the Korea Contents Association Conference
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    • 2005.11a
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    • pp.649-653
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    • 2005
  • To estimate for an error signal with sigmoid nonlinearity what reduced constellation applies closed eye pattern in the initial equalization, there can be improves problems of previous soft decision-directed algorithm that increasing estimate complexity and decreasing of convergence speed when substitute high-order constellation. The characteristic of sigmoid function is adjusted by a mean and a variance parameter, so it depends on adjustment of variance that what reduced constellation $values(\gamma)$ can have ranges between + $\gamma$ and - $\gamma$. In this paper, we proposed Variable Modulus Algorithm (VMA) that can be improving a performance of steady-state by adjustment of variance when equalization works normally and each cluster of constellation decrease.

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Study of Mechanism for Improving Tensile Elastic Modulus of Self-reinforced Composite (친환경 저비중 자기보강 복합소재 개발을 위한 공정 변수별 영향도 평가)

  • Yun, Deok Woo;Kang, Hyun Min
    • Composites Research
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    • v.28 no.4
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    • pp.197-203
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    • 2015
  • Tensile properties of polypropylene based self-reinforced composites were investigated as a function of process variables of the double-belt lamination equipment such as pressure, temperature and cooling conditions. Elastic modulus was enhanced approximately 6 times from 0.2 to 1.2 GPa. The improvement mechanism was studied by identification of crystalline structure changes using DSC and XRD analysis. In addition, morphology change of self-reinforced composites was also investigated by SEM analysis in order to reveal the degree of impregnation.

Determination of the Vlasov foundation parameters -quadratic variation of elasticity modulus- using FE analysis

  • Celik, Mecit;Omurtag, Mehmet H.
    • Structural Engineering and Mechanics
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    • v.19 no.6
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    • pp.619-637
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    • 2005
  • The objective of this research was to determine the Vlasov soil parameters for quadratically varying elasticity modulus $E_s$(z) of the compressible soil continuum and discuss the interaction affect between two close plates. Interaction problem carried on for uniformly distributed load carrying plates. Plate region was simulated by Kirchhoff plate theory based (mixed or displacement type) 2D elements and the foundation continuum was simulated by displacement type 2D elements. At the contact region, plate and foundation elements were geometrically coupled with each other. In this study the necessary formulas for the Vlasov parameters were derived when Young's modulus of the soil continuum was varying as a quadratic function of z-coordinate through the depth of the foundation. In the examples, first the elements and the iterative FE algorithm was verified and later the results of quadratic variation of $E_s$(z) were compared with the previous examples in order to discuss the general behavior. As a final example two plates close to each other resting on elastic foundation were handled to see their interaction influences on the Vlasov foundation parameters. Original examples were solved using both mixed and displacement type plate elements in order to confirm the results.

Stress intensity factors for double-edged cracked steel beams strengthened with CFRP plates

  • Wang, Hai-Tao;Wu, Gang;Pan, Yu-Yang;Zakari, Habeeb M.
    • Steel and Composite Structures
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    • v.33 no.5
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    • pp.629-640
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    • 2019
  • This paper presents a theoretical and finite element (FE) study on the stress intensity factors of double-edged cracked steel beams strengthened with carbon fiber reinforced polymer (CFRP) plates. By simplifying the tension flange of the steel beam using a steel plate in tension, the solutions obtained for the stress intensity factors of the double-edged cracked steel plate strengthened with CFRP plates were used to evaluate those of the steel beam specimens. The correction factor α1 was modified based on the transformed section method, and an additional correction factor φ was introduced into the expressions. Three-dimensional FE modeling was conducted to calculate the stress intensity factors. Numerous combinations of the specimen geometry, crack length, CFRP thickness and Young's modulus, adhesive thickness and shear modulus were analyzed. The numerical results were used to investigate the variations in the stress intensity factor and the additional correction factor φ. The proposed expressions are a function of applied stress, crack length, the ratio between the crack length and half the width of the tension flange, the stiffness ratio between the CFRP plate and tension flange, adhesive shear modulus and thickness. Finally, the proposed expressions were verified by comparing the theoretical and numerical results.

ITERATED ENTIRE FUNCTIONS AND THEIR GROWTH PROPERTIES ON THE BASIS OF (p, q)-TH ORDER

  • Biswas, Tanmay;Choi, Junesang;Das, Pranab;Datta, Sanjib Kumar
    • Honam Mathematical Journal
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    • v.38 no.1
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    • pp.169-212
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    • 2016
  • Entire functions have been investigated so popularly to have been divided into a large number of specialized subjects. Even the limited subject of entire functions is too vast to be dealt with in a single volume with any approach to completeness. Here, in this paper, we choose to investigate certain interesting results associated with the comparative growth properties of iterated entire functions using (p, q)-th order and (p, q)-th lower order, in a rather comprehensive and systematic manner.

SOME REMARKS OF THE CARATHÉODORY'S INEQUALITY ON THE RIGHT HALF PLANE

  • Ornek, Bulent Nafi
    • Communications of the Korean Mathematical Society
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    • v.35 no.1
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    • pp.201-215
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    • 2020
  • In this paper, a boundary version of Carathéodory's inequality on the right half plane for p-valent is investigated. Let Z(s) = 1+cp (s - 1)p +cp+1 (s - 1)p+1 +⋯ be an analytic function in the right half plane with ℜZ(s) ≤ A (A > 1) for ℜs ≥ 0. We derive inequalities for the modulus of Z(s) function, |Z'(0)|, by assuming the Z(s) function is also analytic at the boundary point s = 0 on the imaginary axis and finally, the sharpness of these inequalities is proved.

Applications of the Schwarz Lemma and Jack's Lemma for the Holomorphic Functions

  • Ornek, Bulent Nafi;Catal, Batuhan
    • Kyungpook Mathematical Journal
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    • v.60 no.3
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    • pp.507-518
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    • 2020
  • We consider a boundary version of the Schwarz Lemma on a certain class of functions which is denoted by 𝒩. For the function f(z) = z + a2z2 + a3z3 + … which is defined in the unit disc D such that the function f(z) belongs to the class 𝒩, we estimate from below the modulus of the angular derivative of the function ${\frac{f{^{\prime}^{\prime}}(z)}{f(z)}}$ at the boundary point c with f'(c) = 0. The sharpness of these inequalities is also proved.

PHOTOMETRIC STUDY OF IC 2156

  • TADROSS, A.L.;HENDY, Y.H.M.
    • Journal of The Korean Astronomical Society
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    • v.49 no.2
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    • pp.53-57
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    • 2016
  • We present an optical UBVRI photometric analysis of the poorly studied open star cluster IC 2156 using Sloan Digital Sky Survey data in order to estimate its astrophysical properties. We compare these with results from our previous studies that relied on the 2MASS JHK near-infrared photometry. The stellar density distributions and color-magnitude diagrams of the cluster are used to determine its geometrical structure, real radius, core and tidal radii, and its distance from the Sun, the Galactic plane, and the Galactic center. We also estimate, the age, color excesses, reddening-free distance modulus, membership, total mass, luminosity function, mass function, and relaxation time of the cluster.

An Improved Finite Element Analysis Model of Offshore Cable-Supported Structures (해양 케이블 지지구조물의 구조해석을 위한 개선된 유한요소해석모델)

  • KIM SUN-HOON;SONG MYUNG-KWAN;NOH HYUK-CHUN
    • Journal of Ocean Engineering and Technology
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    • v.18 no.6 s.61
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    • pp.51-57
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    • 2004
  • In this study, the improved three-dimensional analysis model designed for a more accurate analysis of marine cable-supported structures, is presented. In this improved analysis model, the beam elements, of which the stability function is derived using Taylor's series expansions, are used to model space frame structures, and the truss elements. The equivalent elastic modulus of the truss elements is evaluated on the assumption that the deflection curve of a cable has a catenary function. By using the proposed three-dimensional analysis model, nonlinear static analysis is carried out for some cable-supported structures. The results are compared with previous studies and show good agreement with their findings.

ESTIMATES FOR A CERTAIN SUBCLASS OF HOLOMORPHIC FUNCTIONS

  • Ornek, Bulent Nafi;Akyel, Tugba
    • The Pure and Applied Mathematics
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    • v.26 no.2
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    • pp.59-73
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    • 2019
  • In this paper, a version of the boundary Schwarz Lemma for the holomorphic function belonging to $\mathcal{N}$(${\alpha}$) is investigated. For the function $f(z)=z+c_2z^2+C_3z^3+{\cdots}$ which is defined in the unit disc where $f(z){\in}\mathcal{N}({\alpha})$, we estimate the modulus of the angular derivative of the function f(z) at the boundary point b with $f(b)={\frac{1}{b}}\int\limits_0^b$ f(t)dt. The sharpness of these inequalities is also proved.