• Title/Summary/Keyword: 수학

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Effect of the Impeller-Blade Radius of Curvature on the Performance of Centrifugal Pump (임펠러 곡율반경(曲率半徑)이 농용양수기(農用揚水機)의 성능(性能)에 미치는 영향(影響)에 관(關)한 연구(硏究))

  • Choi, K.H.;Kwon, S.H.
    • Journal of Biosystems Engineering
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    • v.13 no.2
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    • pp.18-27
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    • 1988
  • The basic model of impeller was developed for the theoretical analysis of performance. The developed model was tested with two different blade radius of curvature based on the pumping efficiency under the operating conditions in Korea. And the pump performance of the impeller was also tested for the various speeds. The results obtained are summarized as follows; 1. There was no significant effect on the different blade radius of curvatures on the discharge and pump efficiency. 2. Head and power requirement was increased in proportion to the blade radius of curvature. 3. In the mathematical approach of the blade radius of curvature, the method of involute curve was more recommendable as compared with the method of circular arc curve. 4. The pump efficiency of the model impeller developed based on the theoretical analysis increased about 10% more than that of the existing impeller.

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Modeling and Performance Analysis of SCR $DeNO_X$ Catalyst for Reducing $NO_X$ Emissions in Diesel Engine (디젤엔진의 $NO_X$ 저감을 위한 SCR $DeNO_X$ 촉매의 모델링 및 성능해석)

  • Kim, Young-Deuk;Kim, Woo-Seung;Lee, Chun-Hwan
    • Transactions of the Korean Society of Automotive Engineers
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    • v.17 no.1
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    • pp.137-145
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    • 2009
  • The steady-state kinetics of the selective catalytic reduction (SCR) of $NO_X$ with $NH_3$ has been investigated over a commercial ${V_2}{O_5}/TiO_2$ catalyst. In order to account for the influence of transport effects the kinetics are coupled with a fully transient two-phase 1D+1D monolith channel model. The Langmuir-Hinshelwood (L-H) mechanism is adopted to describe the steady-state kinetic behavior of the ${V_2}{O_5}/TiO_2$ catalyst. The reaction rate expressions are based on previously reported papers and are modified to fit the experimental data. The steady-state chemical reaction scheme used in the present mathematical model has been validated extensively with experimental data of selective $NO_X$ reduction efficiency for a wide range of inlet conditions such as space velocity, oxygen concentrations, water concentration, and $NO_2/NO$ ratio. The parametric investigations are performed to examine how the $NH_3$ slip from a SCR $DeNO_X$ catalyst and the conversion of $NO_X$ are affected by the reaction temperature, $NH_3/NO_X$ feed ratio, and space velocity for feed gas compositions with $NO_2/NO_X$ ratios of 0 and 0.5.

A Study on Model Establishment and Structural Analysis for Gun Blast Load (기총 폭발 하중에 대한 모델 수립과 구조 해석에 관한 연구)

  • Kim, Dae-Kwan;Han, Jae-Hung;Jang, Jae-Ho
    • Journal of the Korean Society for Aeronautical & Space Sciences
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    • v.33 no.7
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    • pp.33-39
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    • 2005
  • A mathematical model, GUNBLAST, of blast waves emitted from a gun muzzle is established, and structural response analyses for the blast load are performed. The blast wave can be divided into two kinds of waves, free field and reflected blast waves. In this research, the free field blast wave model is established by the use of a scaling approach, and the reflected blast wave is calculated by using the oblique shock theory and computational fluid dynamic calculation. GUNBLAST is applied to two kinds of structural models. To investigate the effect of the muzzle distance from a structural surface, the blast waves on a plate for various muzzle distances are compared to uniform loads. Moreover, the transient response analysis of an aircraft wing model with a 12.7mm gun is carried out by using MSC/NASTRAN. From the results, it can be shown that the blast wave can cause broad random vibration and high frequency damage to equipments mounted in the aircraft.

Study of Effects of Measurement Errors in Damage Detection (동적 측정오차가 손상탐지에 미치는 영향에 관한 연구)

  • Kim, Ki-Ook
    • Journal of the Korean Society for Aeronautical & Space Sciences
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    • v.39 no.3
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    • pp.218-224
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    • 2011
  • A modal method is presented for the investigation of the effects of measurement errors in damage detection for dynamic structural systems. The structural modifications to the baseline system result in the response changes of the perturbed structure, which are measured to determine a unique system in the inverse problem of damage detection. If the numerical modal data are exact, mathematical programming techniques can be applied to obtain the accurate structural changes. In practice, however, the associated measurement errors are unavoidable, to some extent, and cause significant deviations from the correct perturbed system because of the intrinsic instability of eigenvalue problem. Hence, a self-equilibrating inverse system is allowed to drift in the close neighborhood of the measured data. A numerical example shows that iterative procedures can be used to search for the damaged structural elements. A small set of selected degrees of freedom is employed for practical applicability and computational efficiency.

A Study on the Global Optimization Using the Alienor Method and Lipschitzian Optimization (Alienor Method와 Lipschitzian Optimization을 이용한 전역적 최적화에 대한 연구)

  • Kim, Hyoung-Rae;Lee, Na-Ri;Park, Chan-Woo
    • Journal of the Korean Society for Aeronautical & Space Sciences
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    • v.35 no.3
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    • pp.212-217
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    • 2007
  • The Alienor method is a powerful tool for solving global optimization problems. It allows the transformation of a multi-variable problem into a new one that depends on a single variable. Any one-dimensional global optimization method can then be used to solve the transformed problem. Several one-dimensional global optimization methods coupled with the Alienor method have been suggested by mathematicians and it is shown that the suggested methods are successful for test functions. However, there are problems with these methods in engineering practice. In this paper, Lipschitzian optimization without using the Lipschitz constant is coupled with the Alienor method and applied to the test functions. Using test functions, it is shown that the suggested method can be successfully applied to global optimization problems.

GRASP Algorithm for Dynamic Weapon-Target Assignment Problem (동적 무장할당 문제에서의 GRASP 알고리즘 연구)

  • Park, Kuk-Kwon;Kang, Tae Young;Ryoo, Chang-Kyung;Jung, YoungRan
    • Journal of the Korean Society for Aeronautical & Space Sciences
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    • v.47 no.12
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    • pp.856-864
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    • 2019
  • The weapon-target assignment (WTA) problem is a matter of effectively allocating weapons to a number of threats. The WTA in a rapidly changing dynamic environment of engagement must take into account both of properties of the threat and the weapon and the effect of the previous decision. We propose a method of applying the Greedy Randomized Adaptive Search Procedure (GRASP) algorithm, a kind of meta-heuristic method, to derive optimal solution for a dynamic WTA problem. Firstly, we define a dynamic WTA problem and formulate a mathematical model for applying the algorithm. For the purpose of the assignment strategy, the objective function is defined and time-varying constraints are considered. The dynamic WTA problem is then solved by applying the GRASP algorithm. The optimal solution characteristics of the formalized dynamic WTA problem are analyzed through the simulation, and the algorithm performance is verified via the Monte-Carlo simulation.

Methods of Discontinuity Network Visualization in 3-D (불연속면 연결구조의 삼차원 가시화 기법에 관한 연구)

  • Noh, Young-Hwan;Um, Jeong-Gi
    • The Journal of Engineering Geology
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    • v.22 no.4
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    • pp.449-458
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    • 2012
  • A sound understanding of the structural characteristics of fractured rock masses is important in designing and maintaining earth structures because their strength, deformability, and hydraulic behavior depend mainly on the characteristics of discontinuity network structures. Despite considerable progress in understanding the structural characteristics of rock masses, the complexity of discontinuity patterns has prevented satisfactory analysis based on a 3-D rock mass visualization model. This paper presents the results of studies performed to develop rock mass visualization in 3-D to analysis the mechanical and hydraulic behavior of fractured rock masses. General and particular solutions of non-linear equations of disk-shaped fractures have been derived to calculated lines of intersection and equivalent pipes. Also, program modules have been developed to perform the calculations. The procedures developed for the 3-D fractured rock mass visualization model can be used to characterize rock mass geometry and network systems effectively. The results obtained in this study will be refined and then combined for use as a tool for assessing geomechanical problems related to strength, deformability and hydraulic behaviors of the fractured rock masses.

On NeMRI-Based Multicasting for Network Mobility (네트워크 이동성을 고려한 NeMRI 기반의 멀티캐스트 라우팅 프로토콜)

  • Kim, Moon-Seong;Park, Jeong-Hoon;Choo, Hyun-Seung
    • Journal of Internet Computing and Services
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    • v.9 no.2
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    • pp.35-42
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    • 2008
  • Mobile IP is a solution to support mobile nodes, however, it does not handle NEtwork MObility (NEMO). The NEMO Basic Support (NBS) protocol ensures session continuity for all the nodes in the mobile network. Since the protocol is based on Mobile IP, it inherits the same fundamental problem such as tunnel convergence, when supporting the multicast for NEMO. In this paper, we propose the multicast route optimization scheme for NEMO environment. We assume that the Mobile Router (MR) has a multicast function and the Nested Mobile Router Information (NeMRI) table. The NeMRI is used to record o list of the CoAs of all the MRs located below it. And it covers whether MRs desire multicast services. Any Route Optimization (RO) scheme can be employed here for pinball routing. Therefore, we achieve optimal routes for multicasting based on the given architecture. We also propose cost analytic models to evaluate the performance of our scheme. We observe significantly better multicast cost in NEMO compared with other techniques such as Bi-directional Tunneling, Remote Subscription, and Mobile Multicast based on the NBS protocol.

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Analytical Approach of Multicasting-based Fast Mobility Management Scheme in Proxy Mobile IPv6 Networks (프록시 모바일 IPv6 네트워크에서 멀티캐스팅기반 빠른 이동성관리 기법의 분석적 접근법)

  • Kim, Young Hoon;Jeong, Jong Pil
    • Journal of Internet Computing and Services
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    • v.14 no.3
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    • pp.67-79
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    • 2013
  • In wireless networks, efficient mobility management to support of mobile users is very important. Several mobility management schemeshave been proposed with the aim of reducing the signaling traffic of MN(Mobile Node). Among them, PMIPv6 (Proxy Mobile IPv6) is similar with host-based mobility management protocols but MN does not require any process for mobility. By introducing new mobile agent like MAG (Mobile Access Gateway) and LMA (Local Mobility Anchor), it provides IP mobility to MN. In this paper, we propose the analytical model to evaluate the mean signalingdelay and the mean bandwidth according to the type of MN mobility. As a result of mathematical analysis, MF-PMIP (Multicasting-based FastPMIP) outperforms compared to F-PMIP and PMIP in terms of parameters for the performance evaluation.

A Cloud Workflow Model Based on the Information Control Net (정보제어넷 기반 클라우드 워크플로우 모델)

  • Sun, Kai;Ahn, Hyun;Kim, Kwanghoon Pio
    • Journal of Internet Computing and Services
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    • v.19 no.3
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    • pp.25-33
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    • 2018
  • This paper proposes a cloud workflow model theoretically supported by the information control net modeling methodology as a cloud workflow modeling methodology that is mandatory in implementing realtime enterprise workflow management systems running with cloud computing environments. The eventual goal of the cloud workflow model proposed in this paper is to support those cloud workflow architectures reflecting the types of cloud deployment models such as private, community, public, and hybrid cloud deployment models. Moreover, the proposed model is a mathematical graph model that is extended from the information control net modeling methodology used in conventional enterprise workflow modeling, and it aims to theoretically couple this methodology with the cloud deployment models. Finally, this paper tries to verify the feasibility of the proposed model by building a possible cloud workflow architecture and its cloud workflow services on a realtime enterpeise cloud workflow management system.