• Title/Summary/Keyword: dual space

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Influence of a soft FGM interlayer on contact stresses under a beam on an elastic foundation

  • Aizikovich, Sergey M.;Mitrin, Boris I.;Seleznev, Nikolai M.;Wang, Yun-Che;Volkov, Sergey S.
    • Structural Engineering and Mechanics
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    • v.58 no.4
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    • pp.613-625
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    • 2016
  • Contact interaction of a beam (flexible element) with an elastic half-plane is considered, when a soft inhomogeneous (functionally graded) interlayer is present between them. The beam is bent under the action of a distributed load applied to the surface and a reaction of the elastic interlayer and the half-space. Solution of the contact problem is obtained for different values of thickness and parameters of inhomogeneity of the layer. The interlayer is assumed to be significantly softer than the underlying half-plane; case of 100 times difference in Young's moduli is considered as an example. The influence of the interlayer thickness and gradient of elastic properties on the distribution of the contact stresses under the beam is studied.

Digitally Controlled Interleaving Tapped-Inductor Boost Converter for Photovoltaic Module Integrated Converters (PV MIC)

  • Lee, Jye-June;Kim, Jitae;Bae, Hyunsu;Cho, B.H.
    • Proceedings of the KIPE Conference
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    • 2010.11a
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    • pp.74-75
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    • 2010
  • As global warming due to burning fossil fuels and natural resource depletion issues have emerged, the development of renewable energy sources such as photovoltaics (PV) has been brought to recent interest. Amongst the vast efforts to harvest and convert solar energy into electricity, the module integrated converters (MIC) has become a worthy topic of research for grid-connected photovoltaic systems. Due to the required high-boosting qualities, only a restricted amount of DC/DC converter topologies can be applied to MICs. This paper investigates the possibility of a tapped-inductor boost converter as a candidate for PV MICs. A dual-inductor interleaving scheme operating slightly above the boundary of the two conduction modes (BCM) is suggested for reduction of input current ripple and minimization of component stress. A digital controller is used for implementation, assuring maximum power tracking and transfer while providing sufficient computational space for other grid connectivity applications, etc. For verification, a 200W converter is designed and simulated via computer software including component losses. High efficiency over a wide power range proves the feasibility of the proposed PV MIC system.

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The Application of Multigrid Algorithm to Low-Speed Precondition

  • Yang, Zhong;Xu, Jianzhong
    • Proceedings of the Korean Society of Propulsion Engineers Conference
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    • 2008.03a
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    • pp.666-670
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    • 2008
  • The low-speed preconditioning technique is applied to solve the compressible Reynolds averaged Navier-Stokes equations for low-speed flows. The space discretization is based on Roe's flux-difference splitting with third-order-accurate MUSCL extrapolation. Time integration is performed employing a diagonal approximate factorization algorithm. The dual-time stepping has been incorporated to solve the unsteady flows. Full multigrid method is implemented to accelerate the convergence rate. To verify the algorithms several cases have been tested. Demonstrated the improvement on convergence and quality of the solution.

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MODULE AMENABILITY OF BANACH ALGEBRAS AND SEMIGROUP ALGEBRAS

  • Khoshhal, M.;Bagha, D. Ebrahimi;Rahpeyma, O. Pourbahri
    • Honam Mathematical Journal
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    • v.41 no.2
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    • pp.357-368
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    • 2019
  • We define the concepts of the first and the second module dual of a Banach space X. And also bring a new concept of module amenability for a Banach algebra ${\mathcal{A}}$. For inverse semigroup S, we will give a new action for ${\ell}^1(S)$ as a Banach ${\ell}^1(E_S)$-module and show that if S is amenable then ${\ell}^1(S)$ is ${\ell}^1(E_S)$-module amenable.

Applications of Solid Viscoelastic Coupling Dampers (VCDs) in Wind and Earthquake Sensitive Tall Buildings

  • Montgomery, Michael;Ardila, Luis;Christopoulos, Constantin
    • International Journal of High-Rise Buildings
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    • v.10 no.2
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    • pp.123-135
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    • 2021
  • Solid Viscoelastic Coupling Dampers (VCDs) provide distributed damping that improves the dynamic performance of tall buildings for both wind-storms and earthquakes for all amplitudes of vibration. They are configured in place of typical structural members in tall buildings and therefore do not occupy any architectural space. This paper summarizes the research and development at the University of Toronto in collaboration with Nippon Steel Engineering, 3M and Kinetica over the past two decades. In addition, impact studies on buildings incorporating the VCDs are presented, consisting of a wind sensitive 66-story building in Toronto, a dual-wind and seismic performance-based design of a 4-tower development in Manila and finally a 630 meter Megatall building in Southeast Asia in a severe seismic environment. In all applications the VCDs are shown to provide significant benefits in the dynamic performance under both wind and earthquake loading in a cost-effective manner.

Implementation of a parallel traversal scheme for O(n!) search space exploiting cost constraint (비용 제약조건을 이용한 병렬 O(n!) 서치 스페이스 탐색 기법의 구현)

  • Lee, Junghoon
    • Proceedings of the Korea Information Processing Society Conference
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    • 2010.11a
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    • pp.1501-1502
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    • 2010
  • DualCore 혹은 MultiCore 플랫폼의 보급에 따라 높은 시간복잡도를 갖는 응용들도 사용자의 컴퓨터나 단말에서 수행되어 다양한 서비스를 제공할 수 있게 되었다. 본 논문에서는 관광 스케줄을 효율적으로 결정하기 위한 다중목적지 방문 문제에 대해 이중 쓰레드에 기반한 서치 스페이스 탐색 알고리즘을 구현한다. 이는 Traveling Salesman Problem의 한 종류로서 O(n!) 시간 복잡도를 갖고 있으며 검색시의 독립성때문에 각 쓰레드는 병렬적으로 최적의 스케줄을 탐색할 수 있다. 또 현재까지 발견된 최적값을 기반으로 부분 경로의 비용이 이미 최적값을 넘는 경우는 하위 탐색을 제거하여 상당한 성능의 향상을 가져온다. 2.4 GHz Intel(R) Core DuoCPU와 3 GB 메모리로 구성된 플랫폼 상에서 구현된 서비스는 11개의 목적지에 대한 방문 스케줄을 생성함에 있어서 단일 쓰레드 버전은 14.196초, 이중 쓰레드 버전은 6.411초, 제약조건을 포함한 이중 쓰레드 버전은 0.14초에 최적의 스케줄을 찾아낼 수 있다.

NONLINEAR VARIATIONAL INEQUALITIES AND FIXED POINT THEOREMS

  • Park, Sehie;Kim, Ilhyung
    • Bulletin of the Korean Mathematical Society
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    • v.26 no.2
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    • pp.139-149
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    • 1989
  • pp.Hartman and G. Stampacchia [6] proved the following theorem in 1966: If f:X.rarw. $R^{n}$ is a continuous map on a compact convex subset X of $R^{n}$ , then there exists $x_{0}$ ..mem.X such that $x_{0}$ , $x_{0}$ -x>.geq.0 for all x.mem.X. This remarkable result has been investigated and generalized by F.E. Browder [1], [2], W. Takahashi [9], S. Park [8] and others. For example, Browder extended this theorem to a map f defined on a compact convex subser X of a topological vector space E into the dual space $E^{*}$; see [2, Theorem 2]. And Takahashi extended Browder's theorem to closed convex sets in topological vector space; see [9, Theorem 3]. In Section 2, we obtain some variational inequalities, especially, generalizations of Browder's and Takahashi's theorems. The generalization of Browder's is an earlier result of the first author [8]. In Section 3, using Theorem 1, we improve and extend some known fixed pint theorems. Theorems 4 and 8 improve Takahashi's results [9, Theorems 5 and 9], respectively. Theorem 4 extends the first author's fixed point theorem [8, Theorem 8] (Theorem 5 in this paper) which is a generalization of Browder [1, Theroem 1]. Theorem 8 extends Theorem 9 which is a generalization of Browder [2, Theorem 3]. Finally, in Section 4, we obtain variational inequalities for multivalued maps by using Theorem 1. We improve Takahashi's results [9, Theorems 21 and 22] which are generalization of Browder [2, Theorem 6] and the Kakutani fixed point theorem [7], respectively.ani fixed point theorem [7], respectively.

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Analytical Study on the Slewing Dynamics of Hybrid Coordinate Systems (복합좌표계 시스템의 선회동역학에 관한 해석적 연구)

  • Suk, Jin-Young
    • Journal of the Korean Society for Aeronautical & Space Sciences
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    • v.31 no.6
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    • pp.36-44
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    • 2003
  • In this paper, an analytic solution method is proposed to overcome the numerical problems when the slewing dynamics of hybrid coordinate systems is investigated via time finite element analysis. It is shown that the dynamics of the hybrid coordinate systems is governed by the coupled dual differential equations for both slewing and structural modes. Structural modes are transformed into the time-based modal coordinates and analytic spatial propagation equations are derived for each space-dependent time mode. Slew angle history is obtained analytically by appropriate applications of the boundary conditions and structural propagation is re-calculated using the slew angle. Numerical examples are demonstrated to validate the proposed analytic method in comparison to the existing state transition matrix method.

Uncertainty for Privacy and 2-Dimensional Range Query Distortion

  • Sioutas, Spyros;Magkos, Emmanouil;Karydis, Ioannis;Verykios, Vassilios S.
    • Journal of Computing Science and Engineering
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    • v.5 no.3
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    • pp.210-222
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    • 2011
  • In this work, we study the problem of privacy-preservation data publishing in moving objects databases. In particular, the trajectory of a mobile user in a plane is no longer a polyline in a two-dimensional space, instead it is a two-dimensional surface of fixed width $2A_{min}$, where $A_{min}$ defines the semi-diameter of the minimum spatial circular extent that must replace the real location of the mobile user on the XY-plane, in the anonymized (kNN) request. The desired anonymity is not achieved and the entire system becomes vulnerable to attackers, since a malicious attacker can observe that during the time, many of the neighbors' ids change, except for a small number of users. Thus, we reinforce the privacy model by clustering the mobile users according to their motion patterns in (u, ${\theta}$) plane, where u and ${\theta}$ define the velocity measure and the motion direction (angle) respectively. In this case, the anonymized (kNN) request looks up neighbors, who belong to the same cluster with the mobile requester in (u, ${\theta}$) space: Thus, we know that the trajectory of the k-anonymous mobile user is within this surface, but we do not know exactly where. We transform the surface's boundary poly-lines to dual points and we focus on the information distortion introduced by this space translation. We develop a set of efficient spatiotemporal access methods and we experimentally measure the impact of information distortion by comparing the performance results of the same spatiotemporal range queries executed on the original database and on the anonymized one.

Domestic radio waves propagate management and control systems investigate the system status (국내 전파관리제도 및 전파관리 시스템 현황에 대한 조사)

  • Shin, Hyun-Shin;Kim, Sung-Hong;Seok, Gyeong-Hyu
    • The Journal of the Korea institute of electronic communication sciences
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    • v.11 no.5
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    • pp.441-450
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    • 2016
  • The International Telecommunications Union(: ITU) Radio Regulations(: RR) and in which is defined as the frequency of electromagnetic waves below 3000GHz spread in space without artificial guidance, our country also follows the international definition. As radio waves are electromagnetic waves spreading in space without artificial induction means having a frequency within the range set by the ITU. Frequency distribution for dual-work is to inde 300GHz, among the divided frequency is our daily or less than 90% of the frequency band is in contact saenghwalyong 3GHz. Propagation, but can occur indefinitely without depleting that anyone can create only gatchumyeon transmission equipment, if the radio frequency to use at the same time and space, the soul is the interference occurs is not available radio resources. Due to the physical finiteness used in our country for the first time on such a propagation laws enacted in 1961 and to the state radio resource management, and rules to be used for propagation only if granted the rights.