• Title/Summary/Keyword: L-S theory

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GENERALIZED THERMO ELASTIC WAVES IN A CYLINDRICAL PANEL EMBEDDED ON ELASTIC MEDIUM

  • Ponnusamy, P.;Selvamani, R.
    • Journal of the Korean Society for Industrial and Applied Mathematics
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    • v.17 no.1
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    • pp.1-15
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    • 2013
  • In this paper the three dimensional wave propagation in a homogeneous isotropic thermo elastic cylindrical panel embedded in an elastic medium (Winkler model) is investigated in the context of the L-S (Lord-Shulman) theory of generalized thermo elasticity. The analysis is carried out by introducing three displacement functions so that the equations of motion are uncoupled and simplified. A Bessel function solution with complex arguments is then directly used for the case of complex Eigen values. This type of study is important for design of structures in atomic reactors, steam turbines, wave loading on submarine, the impact loading due to superfast train and jets and other devices operating at elevated temperature. In order to illustrate theoretical development, numerical solutions are obtained and presented graphically for a zinc material with the support of MATLAB.

The Preferred Conformation of the Muscarinic Agent L(+) Acetyl-${\beta}$-Methylcholine

  • Jhon, Mu-Shik;Cho, Ung-In;Chae, Yung-Bog;Kier, Lemont B.
    • Journal of the Korean Chemical Society
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    • v.16 no.2
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    • pp.70-73
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    • 1972
  • It has been postulated that acetylcholine exhibits both nicotine and muscarinic activity because of its ability to present two patterns of essential atoms to the receptors. These two patterns arise from the ability of the molecule to exist in more than one preferred conformation. The molecule S(+)-acetyl-${\beta}$-methylacetylcholine exhibits only muscarinic activity. Calculations using molecular orbital theory predict that this molecule prefers only the muscarinic conformation. This is offered as an explanation for the exclusive role of the molecule and as evidence supporting the twoconformation, two-activities hypothesis.

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Fuzzy Trust Evaluation Model for Virtual Telecare Team (가상 텔레케어 팀을 위한 퍼지신뢰평가 모델)

  • Lee, Kyung-Huy;Kim, Hyo-Joong
    • Journal of Korean Society of Industrial and Systems Engineering
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    • v.32 no.2
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    • pp.112-119
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    • 2009
  • Telecare, one of the e-healthcare services with lCT, is a promising technology which aims to monitor the state of patients and then provide the medical services appropriately in remote sites. Virtual telecare team based on the concept of virtual collaborative teams which consist of a patient, a doctor, and a telecare team, operates on a temporary basis in need. Reputation, which means the degree of a patient's belief to a doctor in consideration, is the most important factor to make the virtual telecare team trustable. In this paper, we propose the fuzzy reputation model of a virtual telecare team, which is a reputation-based trust model based on fuzzy set theory. An illustrative example is also given in order to show the applicability of the model to the concept of a virtual telecare team.

A NOTE ON GENERALIZED NET MODEL OF E-LEARNING EVALUATION ASSOCIATED WITH INTUITIONISTIC FUZZY ESTIMATIONS

  • Shannon, A.;Sotirova, E.;Atanassov, K.;Krawczak, M.;Melo-Pinto, P.;Kim, T.;Jang, L.C.;Kang, Dong-Jin;Rim, S.H.
    • International Journal of Fuzzy Logic and Intelligent Systems
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    • v.6 no.1
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    • pp.6-9
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    • 2006
  • A generalized net is used to construct a model which describes the process of evaluation of the problems solved by students. The model utilizes the theory of intuitionistic fuzzy sets. The model can be used to simulate some processes, related to estimation of students' background.

THE BROUWER AND SCHAUDER FIXED POINT THEOREMS FOR SPACES HAVING CERTAIN CONTRACTIBLE SUBSETS

  • Park, Sehie
    • Bulletin of the Korean Mathematical Society
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    • v.30 no.1
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    • pp.83-89
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    • 1993
  • Applications of the classical Knaster-Kuratowski-Mazurkiewicz theorem [KKM] and the fixed point theory of multifunctions defined on convex subsets of topological vector spaces have been greatly improved by adopting the concept of convex spaces due to Lassonde[L]. Recently, this concept has been extended to pseudo-convex spaces, contractible spaces, or spaces having certain families of contractible subsets by Horvath[H1-4]. In the present paper we give a far-reaching generalization of the best approximation theorem of Ky Fan[F1, 2] to pseudo-metric spaces and improved versions of the well-known fixed point theorems due to Brouwer [B] and Schauder [S] for spaces having certain families of contractible subsets. Our basic tool is a generalized Fan-Browder type fixed point theorem in our previous works [P3, 4].

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$C^*$-ALGEBRAS ASSOCIATED WITH LENS SPACES

  • Boo, Deok-Hoon;Oh, Sei-Qwon;Park, Chun-Gil
    • Communications of the Korean Mathematical Society
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    • v.13 no.4
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    • pp.759-764
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    • 1998
  • We define the rational lens algebra (equation omitted)(n) as the crossed product by an action of Z on C( $S^{2n+l}$). Assume the fibres are $M_{ k}$/(C). We prove that (equation omitted)(n) $M_{p}$ (C) is not isomorphic to C(Prim((equation omitted)(n))) $M_{kp}$ /(C) if k > 1, and that (equation omitted)(n) $M_{p{\infty}}$ is isomorphic to C(Prim((equation omitted)(n))) $M_{k}$ /(C) $M_{p{\infty}}$ if and only if the set of prime factors of k is a subset of the set of prime factors of p. It is moreover shown that if k > 1 then (equation omitted)(n) is not stably isomorphic to C(Prim(equation omitted)(n))) $M_{k}$ (c).

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An approach of using ideal grading curve and coating paste thickness to evaluate the performances of concrete-(1) Theory and formulation

  • Wang, H.Y.;Hwang, C.L.;Yeh, S.T.
    • Computers and Concrete
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    • v.10 no.1
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    • pp.19-33
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    • 2012
  • The performance of a concrete is significantly influenced by its mixture proportion and the coating thickness on aggregate surface. The concrete in this study is designed by estimating the blending ratio of aggregate using a densified mixture design algorithm (DMDA) based on an ideal grading curve and estimating the paste volume as the sum of the amount of paste needed to provide an assigned coating paste thickness. So as to obtain appropriate concrete amount, and thus can accurately estimate the property of concrete. Deduction of this mix design formula is simple and easy understanding, and meanwhile to obtain result is fast. This estimation model of mix design is expected to reward to industry and effectively upgrade concrete quality.

SLIDERS FOR THE NEXT GENERATION MAGNETIC HARD DISK DRIVE SYSTEMS-NUMERICAL SIMULATION

  • Jhon, Myung-S.;Peck, Paul-R.;Kang, Soo-Choon;Wang, Benjamin-L.;Kim, In-Eung;Park, Ki-Ook
    • Journal of the Korean Magnetics Society
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    • v.5 no.5
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    • pp.695-701
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    • 1995
  • Fundamental issues and general procedures of modeling the head disk interface (HDI) in order to provide design criteria for future ultra-low flying sliders are given. Intermittent contact and gaseous rarefaction effects are discussed using nonconventional kinetic theory. To illustrate the simulation results, we modeled IBM 3370 taper flat sliders and positive/negative "bow tie" sliders. Several alternative HDI concepts for future disk drives - viscoelastic bearings, a hybrid system, and contact recording - are also briefly discussed.

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Effect of relaxation time on generalized double porosity thermoelastic medium with diffusion

  • Mohamed I.A. Othman;Nehal T. Mansour
    • Geomechanics and Engineering
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    • v.32 no.5
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    • pp.475-482
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    • 2023
  • This paper studies the effect of the relaxation time on a two-dimensional thermoelastic medium which has a doubly porous structure in the presence of diffusion and gravity. The normal mode analysis is used to obtain the analytic expressions of the physical quantities, which we take the solution form in the exponential image. We have discussed a homogeneous thermoelastic half-space with double porosity with the effect of diffusion and gravity. The equations of generalized thermoelastic material with double porosity structure with one relaxation time have been developed. Moreover, the expressions of many physical quantities are explained. The general solutions, under specific boundary conditions of the problem, were found in some detail. In addition, numerical results are computed.

Dynamic bending of sandwich nanocomposite rock tunnels by concrete beams

  • Liji Long;D.L. Dung
    • Geomechanics and Engineering
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    • v.36 no.4
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    • pp.407-416
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    • 2024
  • Dynamic response of a rock tunnels by laminated porous concrete beam reinforced by nanoparticles subjected to harmonic transverse dynamic load is investigated considering structural damping. The effective nanocomposite properties are evaluated on the basis of Mori-Tanaka model. The concrete beam is modeled by the exponential shear deformation theory (ESDT). Utilizing nonlinear strains-deflection, energy relations and Hamilton's principal, the governing final equations of the concrete laminated beam are calculated. Utilizing differential quadrature method (DQM) as well as Newmark method, the dynamic displacement of the concrete laminated beam is discussed. The influences of porosity parameter, nanoparticles volume percent, agglomeration of nanoparticles, boundary condition, geometrical parameters of the concrete beam and harmonic transverse dynamic load are studied on the dynamic displacement of the laminated structure. Results indicated that enhancing the nanoparticles volume percent leads to decrease in the dynamic displacement about 63%. In addition, with considering porosity of the concrete, the dynamic displacement enhances about 2.8 time.