• 제목/요약/키워드: mathematical connection

검색결과 573건 처리시간 0.027초

접촉 표면의 강성 변화에 따른 박테리아의 군집 패턴 (Bacterial Pattern Formation in Response to the Stiffness of Substrates)

  • 김중경;박은정;김성래;조명옥;한화택
    • 한국가시화정보학회:학술대회논문집
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    • 한국가시화정보학회 2007년도 추계학술대회
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    • pp.88-91
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    • 2007
  • Animal cells show different behaviors in response to the mechanical properties of the substrates. We hypothesize that the rigidity of the substrates also affects the bacterial motility and controls the colony dynamics. It is found that the colony size of Escherichia colis and Bacillus subtilis grown on the agar plates is correlated with agarose gel concentrations and thus with the substrate rigidity. High- resolution microscopic imaging reveals that bacteria in single colonies form different aggregation patterns on the agar plates with varying gel concentration. We measured the apparent diffusion coefficients in the agarose gel plates made with different gel concentrations. Mathematical modeling and quantitative imaging of dye dispersion in the agar plates suggest that there is a close connection between the diffusion rate and the colony size. Nanoscale pore structures and kinetic constraints in the porous media may have an effect on bacterial colony dynamics.

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Vibration mitigation of stay cable using optimally tuned MR damper

  • Huang, Hongwei;Sun, Limin;Jiang, Xiaolu
    • Smart Structures and Systems
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    • 제9권1호
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    • pp.35-53
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    • 2012
  • Mechanical dampers have been proved to be one of the most effective countermeasures for vibration mitigation of stay cables in various cable-stayed bridges over the world. However, for long stay cables, as the installation height of the damper is restricted due to the aesthetic concern, using passive dampers alone may not satisfy the control requirement of the stay cables. In this connection, semi-active MR dampers have been proposed for the vibration mitigation of long stay cables. Although various studies have been carried out on the implementation of MR dampers on stay cables, the optimal damping performance of the cable-MR damper system has yet to be evaluated. Therefore, this paper aims to investigate the effectiveness of MR damper as a semi-active control device for the vibration mitigation of stay cable. The mathematical model of the MR damper will first be established through a performance test. Then, an efficient semi-active control strategy will be derived, where the damping of MR damper will be tuned according to the dynamic characteristics of stay cable, in order to achieve optimal damping of cable-damper system. Simulation study will be carried out to verify the proposed semi-active control algorithm for suppressing the cable vibrations induced by different loading patterns using optimally tuned MR damper. Finally, the effectiveness of MR damper in mitigating multi modes of cable vibration will be examined theoretically.

Inversion-like and Major-like Statistics of an Ordered Partition of a Multiset

  • Choi, Seung-Il
    • Kyungpook Mathematical Journal
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    • 제56권3호
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    • pp.657-668
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    • 2016
  • Given a partition ${\lambda}=({\lambda}_1,{\lambda}_2,{\ldots},{\lambda}_l)$ of a positive integer n, let Tab(${\lambda}$, k) be the set of all tabloids of shape ${\lambda}$ whose weights range over the set of all k-compositions of n and ${\mathcal{OP}}^k_{\lambda}_{rev}$ the set of all ordered partitions into k blocks of the multiset $\{1^{{\lambda}_l}2^{{\lambda}_{l-1}}{\cdots}l^{{\lambda}_1}\}$. In [2], Butler introduced an inversion-like statistic on Tab(${\lambda}$, k) to show that the rank-selected $M{\ddot{o}}bius$ invariant arising from the subgroup lattice of a finite abelian p-group of type ${\lambda}$ has nonnegative coefficients as a polynomial in p. In this paper, we introduce an inversion-like statistic on the set of ordered partitions of a multiset and construct an inversion-preserving bijection between Tab(${\lambda}$, k) and ${\mathcal{OP}}^k_{\hat{\lambda}}$. When k = 2, we also introduce a major-like statistic on Tab(${\lambda}$, 2) and study its connection to the inversion statistic due to Butler.

Packet-Level Scheduling for Implant Communications Using Forward Error Correction in an Erasure Correction Mode for Reliable U-Healthcare Service

  • Lee, Ki-Dong;Kim, Sang-G.;Yi, Byung-K.
    • Journal of Communications and Networks
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    • 제13권2호
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    • pp.160-166
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    • 2011
  • In u-healthcare services based on wireless body sensor networks, reliable connection is very important as many types of information, including vital signals, are transmitted through the networks. The transmit power requirements are very stringent in the case of in-body networks for implant communication. Furthermore, the wireless link in an in-body environment has a high degree of path loss (e.g., the path loss exponent is around 6.2 for deep tissue). Because of such inherently bad settings of the communication nodes, a multi-hop network topology is preferred in order to meet the transmit power requirements and to increase the battery lifetime of sensor nodes. This will ensure that the live body of a patient receiving the healthcare service has a reduced level of specific absorption ratio (SAR) when exposed to long-lasting radiation. We propose an efficientmethod for delivering delay-intolerant data packets over multiple hops. We consider forward error correction (FEC) in an erasure correction mode and develop a mathematical formulation for packet-level scheduling of delay-intolerant FEC packets over multiple hops. The proposed method can be used as a simple guideline for applications to setting up a topology for a medical body sensor network of each individual patient, which is connected to a remote server for u-healthcare service applications.

소프트-팁이 장착된 듀얼-핑거의 안정적 파지 제어에 관한 연구 (A Study on Stable Grasping Control of Dual-fingers with Soft-Tips)

  • 심재군;한형용;양순용;이병룡;안경관;김성수
    • 한국공작기계학회:학술대회논문집
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    • 한국공작기계학회 2002년도 추계학술대회 논문집
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    • pp.219-224
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    • 2002
  • This paper aims to derive a mathematical model of the dynamics of handling tasks in robot finger which stable grasping and manipulates a rigid object with some dexterity. Firstly, a set of differential equation describing dynamics of the manipulators and object together with geometric constraint of tight area-contacts is formulated by Lagrange's equation. Secondly, problems of controlling both the internal force and the rotation angle of the grasped object under the constraints of area-contacts of tight area-contacts are discussed. The effect of geometric constraints of area-contacts on motion of the overall system is analyzed and a method of computer simulation for overall system of differential-algebraic equations is presented. Thirdly, simulation results are shown and the effects of geometric constraints of area-contact is discussed. Finally, it is shown that even in the simplest case of dual single D.O.F manipulators there exists a sensory feedback from sensing data of the rotational angle of the object to command inputs to joint actuators and this feedback connection from sensing to action eventually realizes secure grasping of the object, provided that the object is of rectangular shape and motion is confined to a horizontal plane.

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파랑중 선박의 운동을 고려한 갑판적 컨테이너의 Securing 및 Lashing 하중 계산 (I) (Calculation of Securing and Lashing Loads of Containers on the Deck of a Ship in Waves (I))

  • 윤현규;이경중;양영훈
    • 한국항해항만학회지
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    • 제29권5호
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    • pp.377-382
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    • 2005
  • 파랑중을 운항하는 선박은 항상 파도의 영향을 받아 운동을 하게 된다. 특히 컨테이너선과 같이 갑판위에 화물을 많이 운송하는 선박의 경우에는 여러 방향의 운동형태 중에서 횡동요가 화물의 안전에 가장 큰 영향을 미친다. 이러한 선박에서는 컨테이너의 이동 및 전도를 방지하기 위하여 Securing과 Lashing을 하게 되는데, 적절한 시스템의 선정을 위하여 각각에 작용하는 하중들의 정확한 평가가 요구되고 있다. 따라서 본 논문에서는 갑판적 컨테이너들의 연결부에 작용하는 Securing 하중과 Lashing 와이어에 작용하는 힘에 대한 계산식을 유도하고, 몇 가지 Lashing 패턴에 대하여 계산을 수행하였다.

독립 3상 구조를 갖는 이중공극형 영구자석 동기전동기의 Y 및 Delta 결선에 따른 공극제어 (Air-gap Control According to Y and Delta Connections of Double-sided Air-gap Permanent Magnet Synchronous Motor with Independent Three-phase Structure)

  • 허찬녕;황선환
    • 전력전자학회논문지
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    • 제22권3호
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    • pp.249-255
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    • 2017
  • This paper presents air-gap control according to Y and Delta connections of a double-sided air-gap permanent magnet synchronous motor (DA-PMSM) with independent three-phase structure. In particular, the DA-PMSM used in this study can be applied to low-speed and high-torque applications, such as wind turbines, tidal power generations, and electric propulsion ships, because of its modular stators and a rotor with numerous permanent magnets. Unlike conventional three-phase machines, the DA-PMSM has a symmetrical configuration with double-sided air-gap. Therefore, Y/Delta winding connections and serial/parallel configurations between stator modules are possible. To identify the DA-PMSM operating characteristics, mathematical modeling is analyzed according to the Y/Delta connections. Moreover, air-gap control performances by applying the winding connection methods are verified through experimental results.

Uncertainty in Scenarios and Its Impact on Post Closure Long Term Safety Assessment in a Potential HLW Repository

  • Y.S. Hwang;Kim, S-K;Kang, C-H
    • Nuclear Engineering and Technology
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    • 제35권2호
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    • pp.108-120
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    • 2003
  • In assessing the long term post closure radiological safety assessment of a potential HLW repository in Korea, three categories of uncertainties exist. The first one is the scenario uncertainty where series of different natural events are translated into written statements. The second one is the modeling uncertatinty where different mathematical models are applied for an identical scenario. The last one is the data uncertainty which can be expressed in terms of probabilistic density functions. In this analysis, three different scenarios are seleceted; a small well scenario, a radiolysis scenario, and a naturally discharged scenario. The MASCOT-K and the AMBER, probabilistic safety assessment codes based on connection of sub-modules and a compartment theory respectively, are applied to assess annual individual doses for a generic biosphere. Results illustrate that for a given scenario, predictions from two different codes fairly match well each other But the discrepancies for the different scenarios are significant. However, total doses are still well below the guideline of 2 mRem/yr. Detailed analyses with model and data uncertainties are underway to further assure the safety of a Korean reference dispsoal concept.

Design of multiphase carbon fiber reinforcement of crack existing concrete structures using topology optimization

  • Nguyen, Anh P.;Banh, Thanh T.;Lee, Dongkyu;Lee, Jaehong;Kang, Joowon;Shin, Soomi
    • Steel and Composite Structures
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    • 제29권5호
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    • pp.635-645
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    • 2018
  • Beam-column joints play a significant role in static and dynamic performances of reinforced concrete frame structures. This study contributes a numerical approach of topologically optimal design of carbon fiber reinforced plastics (CFRP) to retrofit existing beam-column connections with crack patterns. In recent, CFRP is used commonly in the rehabilitation and strengthening of concrete members due to the remarkable properties, such as lightweight, anti-corrosion and simplicity to execute construction. With the target to provide an optimal CFRP configuration to effectively retrofit the beam-column connection under semi-failure situation such as given cracks, extended finite element method (X-FEM) is used by combining with multi-material topology optimization (MTO) as a mechanical description approach for strong discontinuity state to mechanically model cracked structures. The well founded mathematical formulation of topology optimization problem for cracked structures by using multiple materials is described in detail in this study. In addition, moved and regularized Heaviside functions (MRHF), that have the role of a filter in multiple materials case, is also considered. The numerical example results illustrated in two cases of beam-column joints with stationary cracks verify the validity, benefit and supremacy of the proposed method.

Precise Modeling and Adaptive Feed-Forward Decoupling of Unified Power Quality Conditioners

  • Wang, Yingpin;Obwoya, Rubangakene Thomas;Li, Zhibo;Li, Gongjie;Qu, Yi;Shi, Zeyu;Zhang, Feng;Xie, Yunxiang
    • Journal of Power Electronics
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    • 제19권2호
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    • pp.519-528
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    • 2019
  • The unified power quality conditioner (UPQC) is an effective custom power device that is used at the point of common coupling to protect loads from voltage and current-related PQ issues. Currently, most researchers have studied series unit and parallel unit models and an idealized transformer model. However, the interactions of the series and parallel converters in AC-link are difficult to analyze. This study utilizes an equivalent transformer model to accomplish an electric connection of series and parallel converters in the AC-link and to establishes a precise unified mathematical model of the UPQC. The strong coupling interactions of series and parallel units are analyzed, and they show a remarkable dependence on the excitation impedance of transformers. Afterward, a feed-forward decoupling method based on a unified model that contains the uncertainty components of the load impedance is applied. Thus, this study presents an adaptive method to estimate load impedance. Furthermore, simulation and experimental results verify the accuracy of the proposed modeling and decoupling algorithm.