• Title/Summary/Keyword: Theory U

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Free and forced vibration analysis of FG-CNTRC viscoelastic plate using high shear deformation theory

  • Mehmet Bugra Ozbey;Yavuz Cetin Cuma;Ibrahim Ozgur Deneme;Faruk Firat Calim
    • Advances in nano research
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    • v.16 no.4
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    • pp.413-426
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    • 2024
  • This paper investigates the dynamic behavior of a simply supported viscoelastic plate made of functionally graded carbon nanotube reinforced composite under dynamic loading. Carbon nanotubes are distributed in 5 different shapes: U, V, A, O and X, depending on the shape they form through the thickness of the plate. The displacement fields are derived in the Laplace domain using a higher-order shear deformation theory. Equations of motion are obtained through the application of the energy method and Hamilton's principle. The resulting equations of motion are solved using Navier's method. Transforming the Laplace domain displacements into the time domain involves Durbin's modified inverse Laplace transform. To validate the accuracy of the developed algorithm, a free vibration analysis is conducted for simply supported plate made of functionally graded carbon nanotube reinforced composite and compared against existing literature. Subsequently, a parametric forced vibration analysis considers the influence of various parameters: volume fractions of carbon nanotubes, their distributions, and ratios of instantaneous value to retardation time in the relaxation function, using a linear standard viscoelastic model. In the forced vibration analysis, the dynamic distributed load applied to functionally graded carbon nanotube reinforced composite viscoelastic plate is obtained in terms of double trigonometric series. The study culminates in an examination of maximum displacement, exploring the effects of different carbon nanotube distributions, volume fractions, and ratios of instantaneous value to retardation times in the relaxation function on the amplitudes of maximum displacements.

TENSOR PRODUCTS OF C*-ALGEBRAS WITH FIBRES GENERALIZED NONCOMMUTATIVE TORI AND CUNTZ ALGEBRAS

  • Boo, Deok-Hoon;Park, Chun-Gil
    • Journal of the Chungcheong Mathematical Society
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    • v.13 no.1
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    • pp.139-144
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    • 2000
  • The generalized noncommutative torus $T_{\rho}^d$ of rank m was defined in [2]. Assume that for the completely irrational noncommutative subtorus $A_{\rho}$ of rank m of $T_{\rho}^d$ there is no integer q > 1 such that $tr(K_0(A_{\rho}))=\frac{1}{q}{\cdot}tr(K_0(A_{\rho^{\prime}}))$ for $A_{\rho^{\prime}}$ a completely irrational noncommutative torus of rank m. All $C^*$-algebras ${\Gamma}({\eta})$ of sections of locally trivial $C^*$-algebra bundles ${\eta}$ over $M=\prod_{i=1}^{e}S^{2k_i}{\times}\prod_{i=1}^{s}S^{2n_i+1}$, $\prod_{i=1}^{s}\mathbb{PR}_{2n_i}$, or $\prod_{i=1}^{s}L_{k_i}(n_i)$ with fibres $T_{\rho}^d{\otimes}M_c(\mathbb{C})$ were constructed in [6, 7, 8]. We prove that ${\Gamma}({\eta}){\otimes}M_{p^{\infty}}$ is isomorphic to $C(M){\otimes}A_{\rho}{\otimes}M_{cd}(\mathbb{C}){\otimes}M_{p^{\infty}}$ if and only if the set of prime factors of cd is a subset of the set of prime factors of p, that $\mathcal{O}_{2u}{\otimes}{\Gamma}({\eta})$ is isomorphic to $\mathcal{O}_{2u}{\otimes}C(M){\otimes}A_{\rho}{\otimes}M_{cd}(\mathbb{C})$ if and only if cd and 2u - 1 are relatively prime, and that $\mathcal{O}_{\infty}{\otimes}{\Gamma}({\eta})$ is not isomorphic to $\mathcal{O}_{\infty}{\otimes}C(M){\otimes}A_{\rho}{\otimes}M_{cd}(\mathbb{C})$ if cd > 1 when no non-trivial matrix algebra can be ${\Gamma}({\eta})$.

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Comparison of the ICT Adoption Pattern;In the Case of Korea and the U.S.

  • Yang, Kyung-Hoon;Lee, Sang-Gun
    • 한국경영정보학회:학술대회논문집
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    • 2007.06a
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    • pp.545-550
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    • 2007
  • The aim of this paper is to find out whether there is a difference in adopting and/or diffusing the information and communication technology (ICT) between countries. If there is, what are the primary factors that keep some countries from adopting and diffusing ICT while others do? To analyze the above problem, we adopted the Unified Theory of Acceptance and Use of Technology (UTAUT) suggested by Venkatesh et al. (2003), which consists of effort expectancy, performance expectancy and social influence. We also use the innovation diffusion functions, which are known to have the S-shape and are made up of the introduction, growth, maturity and decline phases. We do not, however, consider the decline phase, because the ICT that we are considering is not believed to be in that phase. Therefore, we researched how the three factors affect adoption in the three phases. We selected the cellular phone as the ICT, because it is considered to be the most popularly used ICT and its technology has been developing rapidly. We surveyed the cellular phone adopters in Korea, and the U.S. for 15 years from 1989 to 2003. Korea, and the U.S. represent newly developed and developed countries, respectively. For the data analysis, a survival analysis was used, as it could explain the characteristics of the potential adopters or non-adopters. We found that the ICT diffusion patterns, as well as the ICT diffusion factors, of the two countries were different. Therefore, we believe that the results of our research can be used in building strategies on reducing the digital divide gaps between countries.

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TWO DIMENSIONAL ARRAYS FOR ALEXANDER POLYNOMIALS OF TORUS KNOTS

  • Song, Hyun-Jong
    • Communications of the Korean Mathematical Society
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    • v.32 no.1
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    • pp.193-200
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    • 2017
  • Given a pair p, q of relative prime positive integers, we have uniquely determined positive integers x, y, u and v such that vx-uy = 1, p = x + y and q = u + v. Using this property, we show that$${\sum\limits_{1{\leq}i{\leq}x,1{\leq}j{\leq}v}}\;{t^{(i-1)q+(j-1)p}\;-\;{\sum\limits_{1{\leq}k{\leq}y,1{\leq}l{\leq}u}}\;t^{1+(k-1)q+(l-1)p}$$ is the Alexander polynomial ${\Delta}_{p,q}(t)$ of a torus knot t(p, q). Hence the number $N_{p,q}$ of non-zero terms of ${\Delta}_{p,q}(t)$ is equal to vx + uy = 2vx - 1. Owing to well known results in knot Floer homology theory, our expanding formula of the Alexander polynomial of a torus knot provides a method of algorithmically determining the total rank of its knot Floer homology or equivalently the complexity of its (1,1)-diagram. In particular we prove (see Corollary 2.8); Let q be a positive integer> 1 and let k be a positive integer. Then we have $$\begin{array}{rccl}(1)&N_{kq}+1,q&=&2k(q-1)+1\\(2)&N_{kq}+q-1,q&=&2(k+1)(q-1)-1\\(3)&N_{kq}+2,q&=&{\frac{1}{2}}k(q^2-1)+q\\(4)&N_{kq}+q-2,q&=&{\frac{1}{2}}(k+1)(q^2-1)-q\end{array}$$ where we further assume q is odd in formula (3) and (4). Consequently we confirm that the complexities of (1,1)-diagrams of torus knots of type t(kq + 2, q) and t(kq + q - 2, q) in [5] agree with $N_{kq+2,q}$ and $N_{kq+q-2,q}$ respectively.

Increasing Effect in Local Buckling Strength of Laminated Composite Plates Stiffened with Closed-section Ribs under Uniaxial Compression (폐단면리브로 보강된 일축압축을 받는 복합적층판의 국부좌굴강도 증가효과)

  • Hwang, Su-Hee;Kim, Yu-Sik;Choi, Byung-Ho
    • Journal of the Korean Society for Advanced Composite Structures
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    • v.4 no.2
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    • pp.39-44
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    • 2013
  • This study is aimed to examine the influence of the rotational stiffness of U-shaped ribs on the local buckling behaviors of laminated composite plates. Applying the orthotropic plates with eight layers of the layup $[(0^{\circ})4]s$ and $[(0^{\circ}/90^{\circ})2]s$, 3-dimensional finite element models for the U-rib stiffened plates were setup by using ABAQUS and then a series of eigenvalue analyses were conducted. There is a need to develope a simple design equation to establish the rotational stiffness effect, which could be easily quantified by comparing the theoretical critical stress equation for laminated composite plates with elastic restraints based on the Classical laminated plate theory. Through the parametric numerical studies, it is confirmed that there should clearly exist an increasing effect of local plate buckling strength due to the rotational stiffness by closed-section ribs. An applicable coefficient for practical design should be verified and proposed for future study. This study will contribute to the future study for establishing an increasing coefficient for the design strength and optimum design of U-rib stiffened plates.

From Theory to Implementation of a CPT-Based Probabilistic and Fuzzy Soil Classification

  • Tumay, Mehmet T.;Abu-Farsakh, Murad Y.;Zhang, Zhongjie
    • Proceedings of the Korean Geotechical Society Conference
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    • 2008.03a
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    • pp.1466-1483
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    • 2008
  • This paper discusses the development of an up-to-date computerized CPT (Cone Penetration Test) based soil engineering classification system to provide geotechnical engineers with a handy tool for their daily design activities. Five CPT soil engineering classification systems are incorporated in this effort. They include the probabilistic region estimation and fuzzy classification methods, both developed by Zhang and Tumay, the Schmertmann, the Douglas and Olsen, and the Robertson et al. methods. In the probabilistic region estimation method, a conformal transformation is used to determine the soil classification index, U, from CPT cone tip resistance and friction ratio. A statistical correlation is established between U and the compositional soil type given by the Unified Soil Classification System (USCS). The soil classification index, U, provides a soil profile over depth with the probability of belonging to different soil types, which more realistically and continuously reflects the in-situ soil characterization, which includes the spatial variation of soil types. The CPT fuzzy classification on the other hand emphasizes the certainty of soil behavior. The advantage of combining these two classification methods is realized through implementing them into visual basic software with three other CPT soil classification methods for friendly use by geotechnical engineers. Three sites in Louisiana were selected for this study. For each site, CPT tests and the corresponding soil boring results were correlated. The soil classification results obtained using the probabilistic region estimation and fuzzy classification methods are cross-correlated with conventional soil classification from borings logs and three other established CPT soil classification methods.

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The Case Study of a patient with Yùzhèng(鬱證) who has treated by Oh-Ji-Sang-Seung(五志相勝) Therapy based on Forgiveness Program (울증(鬱證)환자에게 용서프로그램을 활용한 오지상승요법(五志相勝療法)을 시행하여 호전된 1례)

  • Lee, Sang-Eon;No, Dong-Jin;Park, Jang-Ho;Lee, Go-Eun;Park, In-Sook;Lyu, Yeong-Su;Ahn, Min-Seob;Jung, Ji-Ho
    • Journal of Oriental Neuropsychiatry
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    • v.21 no.2
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    • pp.201-214
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    • 2010
  • Y$\grave{u}$zh$\grave{e}$ng(鬱證) comes from obstruction of qi by stress. The patient has depressed mood, irritable sign, chest discomfort, costal pain, angry state or some strange feeling on the throat. Oh-Ji-Sang-Seung(五志相勝) therapy is base on the theory of interrelation in five elements in oriental medicine. The contents of Oh-Ji-Sang-Seung(五志相勝) therapy include five subjugations of five emotions. Anxiety subjugates fear(思勝恐), fear subjugates joy(恐勝喜), joy subjugates pity(喜勝悲), pity subjugates anger(悲勝怒), and anger subjugates anxiety(怒勝思). Forgiveness program is a kind of psychological therapies to decrease the degree of anger and it is included in Oh-Ji-Sang-Seung(五志相勝) therapy. In this case, a female patient, 50 years old, who suffered from Y$\grave{u}$zh$\grave{e}$ng(鬱證) with chest discomfort, irritable sign, easily angry state, depressed mood, hot flush, insomnia. We used Oh-Ji-Sang-Seung(五志相勝) therapy besides herbal medication, acupuncture to her condition got improved. Therefore we reported it for the treatment.

The Future War in the 21st Century and the Groundwork for the Korean Style Military Thought (21세기 미래전과 한국적 군사사상 형성의 조건)

  • Kim, Kwang-Soo
    • Journal of National Security and Military Science
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    • s.7
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    • pp.55-89
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    • 2009
  • This article aims to critically review recent U. S. RMA-centered theories of warfare having prevailed after the 1991-92 Gulf War upon which the current ROKA military transformation project, the Vision 2020, largely based. In order to evaluate validity as a universal warfighing theory of NCW (Network Centric Warfare) and EBO (Effects-Based Operations), this article reviews the intrinsic strength and weakness of the theories as well as results of several recent wars that the U. S. Army conducted based on doctrines derived form such theories, In addition, this article examines the impact of certain military technology or weapon system in some well-known historical wars to draw lessons regarding the relationship between technology(weapon system) and military victory. Historical examples has shown that victories in war were not achieved by new technologies alone in most cases. Rather military victories tended to owe to combination of new technology, original doctrine and well conceived organization. Although the U. S. Armed Forces showed brilliant records of operational successes anchored on the system of PGMs and NCW concepts in Iraq (1991-92; 2003) and Afghanistan (2001-02), it must be pointed out that the operational successes did not bring about political ones in cases of Iraq and Afghanistan. It reminds us of perils of too technologically tilted approach to the conduct of war. In sum, one ought to recognize that superior technology nowadays became a necessary condition of success but is not yet a sufficient condition, the ROKA needs to be abreast with development trends of military technologies and related theoretical concepts, it need not too be in a hurry in adopting cutting edged war-making technologies at the expense of large amount of budget. The essay recommends for the ROKA several basic requirements for coping with conduct of future wars as well as establishing a 'Korean style military thought'; (1) Recognition of importance of technology in conduct of war; (2) Imposition of officer self-study hours in working days; (3) Establishing a lifestyle of military professionalism in the Korean officer corps; (4) Setting up small or large groups of think-tanks that are specialized in army doctrinal formulation.

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A Geometrically Nonlinear Analysis for the Eccentric Degenerated Beam Element Considering Large Displacements and Large Rotations (대변위 밀 대회전을 고려한 편심된 격하 보요소의 기하학적 비선형해석)

  • Jae-Wook Lee;Young-Tae Yang
    • Journal of the Society of Naval Architects of Korea
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    • v.29 no.4
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    • pp.227-233
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    • 1992
  • To study the large displacement and large rotation problems, geometrically nonlinear formulation of eccentric degenerated beam element has been developed, where the restrictions of infinitesimal rotation increments are removed and the incremental equations are derived using the Taylor series expansion of the displacement function at time t+dt. The geometrically nonlinear analyses are carried out for the cases of cantilever, square frame, shallow arch and 45-degree bend beam and all of them are compared with each of the other results published. The element developed in the present research can be efficiently utilized for analysis of the nonlinear behaviours of structures when displacements and rotations are large.

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Ubiquitous healthcare model based on context recognition (상황인식에 기반한 유비쿼터스 헬스케어 모델)

  • Kim, Jeong-Won
    • Journal of the Korea Society of Computer and Information
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    • v.15 no.9
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    • pp.129-136
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    • 2010
  • With mobile computing, wireless sensor network and sensor technologies, ubiquitous computing services are being realized and could satisfy the feasibility of ubiquitous healthcare to everyone. This u-Healthcare service can improve life quality of human since medical service can be provided to anyone, anytime, and anywhere. To confirm the vision of u-Healthcare service, we've implemented a healthcare system for heart disease patient which is composed of two components. Front-end collects various signals such as temperature, blood pressure, SpO2, and electrocardiogram, etc. As a backend, medical information server accumulates sensing data and performs back-end processing. To simply transfer these sensing values to a medical team may be too trivial. So, we've designed a model based on context awareness for more improved medical service which is based on artificial neural network. Through rigid experiments, we could confirm that the proposed system can provide improved medical service.