• Title/Summary/Keyword: fundamental ring

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Performance Evaluation of the WDM Ring Network Based on Photonic Slot Routing (광-슬롯 경로 배정 방식을 기반으로 한 WDM 링의 성능 평가)

  • 한상현;이호숙;소원호;은지숙;김영천
    • Proceedings of the IEEK Conference
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    • 1999.06a
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    • pp.154-157
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    • 1999
  • Photonic Slot Routing(PSR) is a promising approach to solve the fundamental scalability problem of all-optical packet switched WDM networks. In photonic slot routing, packets destined for the same subnetwork are aggregated to form a photonic slot which is jointly routed as a single unit of information through the network. The relative location of the nodes from bridge may cause to fairness problem in the unidirectional WDM ring network based on PSR. As photonic slots from different subnetworks can originate contentions at the bridge, packets may be dropped and retransmitted. Thus we evaluated the performance of PSR based WDM ring network in the point of fairness for each node and slot contentions at the bridge. Simulation results show that the PSR based WDM ring requires a slot access mechanism to guarantee the transmission fairness and efficient switch architecture to resolve slot contention at the bridge.

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Chaotic and Instability Effects in Brillouin-Active Fiber-Ring Sensor (광섬유링센서에서 유도되는 브루앤파의 혼돈 및 비안정화 현상)

  • Kim, Yong K.;Kim, Jin-Su
    • The Transactions of the Korean Institute of Electrical Engineers C
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    • v.53 no.6
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    • pp.337-341
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    • 2004
  • In this paper the effect of chaos induced instability in Brillouin-active fiber-ring sensor is described. The inherent optical feedback by the backscattered Stokes wave in optical fiber leads to instabilities in the form of optical chaos. The paradigm of optical chaos in fiber serves as a test for fundamental study of chaos and its suppression and exploitation in practical application in communication and sensing. At weak power, the nature of the Brillouin instability can occur at before threshold. At strong power, the temporal evolution above threshold is periodic and at higher intensity can become chaotic. The threshold for the Brillouin instability in fiber-ring sensor is much lower than the threshold of the normal Brillouin instability process.

ON THE CHARACTER RINGS OF TWIST KNOTS

  • Nagasato, Fumikazu
    • Bulletin of the Korean Mathematical Society
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    • v.48 no.3
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    • pp.469-474
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    • 2011
  • The Kauffman bracket skein module $K_t$(M) of a 3-manifold M becomes an algebra for t = -1. We prove that this algebra has no non-trivial nilpotent elements for M being the exterior of the twist knot in 3-sphere and, therefore, it is isomorphic to the $SL_2(\mathbb{C})$-character ring of the fundamental group of M. Our proof is based on some properties of Chebyshev polynomials.

Generating a Traveling Wave on an Annular Ring (원환판에서의 진행파 구현 실험)

  • Yun, Shin-Il;Cho, Ji-Hyun;Han, Sang-Bo
    • Proceedings of the KSME Conference
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    • 2001.06b
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    • pp.607-612
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    • 2001
  • Rotary ultrasonic motors are based on the traveling wave generated by piezo materials attached on the stator. Large scale model of an annular ring was built to understand the fundamental mechanism involved in the rotary ultrasonic motors. Traveling wave on the structure can be generated by superposing two standing waves. Precise matching of the amplitudes and phase shift between two standing waves in time and space is the key to the success of generating a traveling wave.

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On Injectivity of Modules via Semisimplicity

  • Nguyen, Thi Thu Ha
    • Kyungpook Mathematical Journal
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    • v.62 no.4
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    • pp.641-655
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    • 2022
  • A right R-module N is called pseudo semisimple-M-injective if for any monomorphism from every semisimple submodule of M to N, can be extended to a homomorphism from M to N. In this paper, we study some properties of pseudo semisimple-injective modules. Moreover, some results of pseudo semisimple-injective modules over formal triangular matrix rings are obtained.

Analytical vibration of FG cylindrical shell with ring support based on various configurations

  • Hussain, Muzamal;Selmi, Abdellatif
    • Advances in concrete construction
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    • v.9 no.6
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    • pp.557-568
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    • 2020
  • In this study, the impact of ring supports around the shell circumferential has been examined for their various positions along the shell axial length using Rayleigh-Ritz formulation. These shells are stiffened by rings in the tangential direction. For isotropic materials, the physical properties are same everywhere where the laminated and functionally graded materials, they vary from point to point. Here the shell material has been taken as functionally graded material. The influence of the ring supports is investigated at various positions. These variations have been plotted against the locations of ring supports for three values of length-to-diameter ratios. Effect of ring supports with middle layer thickness is presented using the Rayleigh-Ritz procedure with three different conditions. The influence of the positions of ring supports for clamped-clamped is more visible than simply supported and clamped-free end conditions. The frequency first increases and gain maximum value in the midway of the shell length and then lowers down. The Lagrangian functional is created by adding the energy expressions for the shell and rings. The axial modal deformations are approximated by making use of the beam functions. The comparisons of frequencies have been made for efficiency and robustness for the present numerical procedure. Throughout the computation, it is observed that the frequency behavior for the boundary conditions follow as; clamped-clamped, simply supported-simply supported frequency curves are higher than that of clamped-simply curves. To generate the fundamental natural frequencies and for better accuracy and effectiveness, the computer software MATLAB is used.

FUNDAMENTAL UNITS AND REGULATORS OF AN INFINITE FAMILY OF CYCLIC QUARTIC FUNCTION FIELDS

  • Lee, Jungyun;Lee, Yoonjin
    • Journal of the Korean Mathematical Society
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    • v.54 no.2
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    • pp.417-426
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    • 2017
  • We explicitly determine fundamental units and regulators of an infinite family of cyclic quartic function fields $L_h$ of unit rank 3 with a parameter h in a polynomial ring $\mathbb{F}_q[t]$, where $\mathbb{F}_q$ is the finite field of order q with characteristic not equal to 2. This result resolves the second part of Lehmer's project for the function field case.

Sound manipulation: Theory and Applications (음장 제어의 이론과 그 적용)

  • Kim, Yang-Hann
    • Proceedings of the Korean Society for Noise and Vibration Engineering Conference
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    • 2008.04a
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    • pp.468-471
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    • 2008
  • Sound manipulation is to control sound field using multiple sound sources for appropriate purposes. In linear acoustics, a sound can be constructed by superimposing several fundamental sound fields such as a planewave and sphere shape sound field. That is how we manipulate sound field. In this paper, we introduce the theory of sound manipulation and its applications from the examples of the generation of fundamental sound field: a circle, a ring shape sound field and a planewave field.

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Power Consumption Change in Transistor Ratio of Ring Voltage Controlled Oscillator (링 전압 제어 발진기의 트랜지스터 비율에 따른 소모 전력 변화)

  • Moon, Dongwoo;Shin, Hooyoung;Lee, Milim;Kang, Inseong;Lee, Changhyun;Park, Changkun
    • The Journal of Korean Institute of Electromagnetic Engineering and Science
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    • v.27 no.2
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    • pp.212-215
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    • 2016
  • In this paper, a 5.08 GHz Ring Voltage Controlled Oscillator(Ring VCO) was implemented using $0.18{\mu}m$ standard CMOS technology. The proposal Ring VCO is 3-stage structure. This research confirmed that the each stage's different transistor size ratio influence the current change and alter power consumption consequentially. This circuit is formed to control the current thereby adding the Current Mirror and to tune the frequency by supplying control voltage. It has an 65.5 %(1.88~5.45 GHz) tuning range. The measured output power is -0.30 dBm. The phase noise is -87.50 dBc/Hz @1 MHz offset with operating frequency of 5.08 GHz fundamental frequency. The total power consumption of Ring VCO is 31.2 mW with 2.4 V supply voltage.

A Study on the Optimization of the Natural Frequency of a Ring-Stiffened Cylindrical Shell (링 보강 원통셸의 고유진동수 최적화에 관한 연구)

  • Chang, Jin-Geon;Lee, Young-Shin;Yang, Tae-Ho
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.36 no.3
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    • pp.305-311
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    • 2012
  • For the optimization of the fundamental natural frequency of stiffened cylindrical shells, simulations were performed for cylindrical shells that were stiffened with between one and five ring stiffeners. ANSYS 11.0 was used to simulate the optimization for the natural frequency. The Subproblem Approximation Method was applied as the optimization method. The design function of the optimization was the geometry of the T-shaped ring stiffener, and the constraint function was the maximum additional volume, constrained to a 10% increase. The objective function of the optimization was chosen to maximize the fundamental natural frequency. The performance index for optimal design was defined as the ratio of the natural frequency to the volume of the unstiffened and stiffened shells. The optimal performance index was obtained for the shell stiffened with three rings.