• Title/Summary/Keyword: mathematical experiment

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A New Parameter Estimation Method for a Zipf-like Distribution for Geospatial Data Access

  • Li, Rui;Feng, Wei;Wang, Hao;Wu, Huayi
    • ETRI Journal
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    • v.36 no.1
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    • pp.134-140
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    • 2014
  • Many reports have shown that the access pattern for geospatial tiles follows Zipf's law and that its parameter ${\alpha}$ represents the access characteristics. However, visits to geospatial tiles have temporal and spatial popularities, and the ${\alpha}$-value changes as they change. We construct a mathematical model to simulate the user's access behavior by studying the attributes of frequently visited tile objects to determine parameter estimation algorithms. Because the least squares (LS) method in common use cannot obtain an exact ${\alpha}$-value and does not provide a suitable fit to data for frequently visited tiles, we present a new approach, which uses a moment method of estimation to obtain the value of ${\alpha}$ when ${\alpha}$ is close to 1. When ${\alpha}$ is further away from 1, the method uses the associated cache hit ratio for tile access and uses an LS method based on a critical cache size to estimate the value of ${\alpha}$. The decrease in the estimation error is presented and discussed in the section on experiment results. This new method, which provides a more accurate estimate of ${\alpha}$ than earlier methods, promises more effective prediction of requests for frequently accessed tiles for better caching and load balancing.

Mechanical Loads of Dropper for High Speed Electric Railway (고속 전차선로 드로퍼에 대한 기계적 하중에 관한 연구)

  • Lee, Gi-Chun;Lee, Tae-Hoon;Lee, Jong-Woo
    • Journal of the Korean Society for Railway
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    • v.14 no.3
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    • pp.222-227
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    • 2011
  • The dropper supports the contact wire and is attached using various types of dropper clips on the catenary. Droppers are subject to mechanical stress from buckling during the passage of pantographs. In order to investigate failure causes for the high speed line dropper, theoretical analyses and experiments have been carried out. In this paper, mathematical formulas are derived for the pre-sag of the dropper static load. The measured values in the experiment were similar to the theoretical predictions. To analyze the cause on fracture of dropper wire, we have conducted analysis such as SEM(Scanning Electron Microscope) of fractured specimens in the field and new specimens. Finally, we performed measurement for the variation of dynamic load on the dropper when a pantograph moved at 300km/h under the Korean high speed overhead line. If such mechanical load occur repeatedly with every passing pantograph, it is possible that the dropper wire will break due to fatigue. This results will be used for special management of high speed catenary system maintenance and life estimation of dropper.

Fundamental Theory on the Zeros Distribution of Multizeros Optical Beam for Longrange Optical Measurement Applications (광학식 장거리 계측을 위한 다중영점 광빔의 영점 배치에 관한 기초 이론)

  • Fujimoto, Ikumatsu;Sato, Seichi;Kurihara, Toru;Ando, Sigeru;Kim, Min-Young
    • Journal of the Korean Society for Precision Engineering
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    • v.27 no.3
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    • pp.33-40
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    • 2010
  • Multizeros(multiple order zeros) optical beams which belong to the Laguerre-Gaussian beams, have rotational phase and conically-shaped amplitude structures around multizeros points in their phase and amplitude profiles, respectively. Especially, they have their own characteristics that the multizero points do not vanish over free-space propagation. Therefore, they are expected to be adequate for the applications of long-range optical measurement by using their multizero points as optical markers for the deformation sensing. In this paper, fundamental properties of multizeros optical beams for long-range optical measurement applications are investigated and clarified. In particular, the mathematical investigations are described on the characteristics of multizeoros optical beams such as (1) separation of a multizero into isolated single order zeros, (2) topological charge of zeros distribution which are induced by superposing them. And also the outline of a fundamental experiment and its result are explained briefly.

The Effect of Process Parameters on Sealing Quality for Ir-192 Radiation Source Capsule using Resistance Spot Welding (Ir-192 방사선원의 밀봉 용접부 품질에 미치는 저항용접 공정변수의 영향)

  • Han, In-Su;Son, Kwang-Jae;Lee, Young-Ho;Lee, You-Hwang;Lee, Jun-Sig;Jang, Kyung-Duk;Park, Ul-Jae;Park, Chun-Deuk
    • Journal of Welding and Joining
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    • v.27 no.1
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    • pp.65-70
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    • 2009
  • Ir-192 radiation sealed sources are widely employed to the therapeutic applications as well as the non-destructive testing. Production of Ir-192 sources requires a delicate but robust welding technique because it is employed in a high radioactive working environment. A GTA(Gas Tungsten Arc) welding technique is currently well established for this purpose. However, this welding method requires a frequent replacement of the electrode, which results in the delay of the production to take a preparatory action such as to isolate the radiation sources from the working place before getting access to the welding machine. Hence, a resistance welding technique is considered as an alternative method of the GTA welding technique. The advantages of resistance welding are high welding speed and high-rate production. Also it has very long life of electrode comparing to GTA welding. In this study, the resistance welding system and proper welding conditions were established for sealing Ir-192 source capsule. As a results of various experiments, it showed that electrode displacement can be employed as a indicator to predict welding quality. We proposed two mathematical models(linear and curvilinear) to estimate electrode displacement with process parameters such as applied force, welding current and welding time by using regression analysis method. Predicting results of both linear and curvilinear model were relatively good agreement with experiment.

The Enhancement Strategy on National Cyber Capability Using Hybrid Methodology of AHP and TOPSIS (AHP와 TOPSIS 융합 방법론을 이용한 국가 사이버 역량 강화 방안)

  • Bae, Sunha;Park, SangDon;Kim, So Jeong
    • Convergence Security Journal
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    • v.15 no.4
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    • pp.43-55
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    • 2015
  • The effective cyber capability assessment methodology does not exist, it's difficult to check the current state of the our country's cyber capabilities and to establish cyber capability enhancement plan based on the result of assessment. The cyber capability assessment is necessary in order to determine the current level of the country, establish policy directions and provide the basis for effective budgeting. But assessment of national cyber capability is multi-criteria decision makink problem. In this paper develops an assessment model based on the AHP and TOPSIS. AHP is used to determine weight of the criteria and TOPSIS method is used to obtain final ranking. We also introduce the result of four major nations cyber capability assessment using the proposed methodology. The experiment used the virtual experimental data. And the result show that the proposed methodology can expand the number of criteria and alternatives for assessment and provide more sophisticated mathematical base for objective assessment comparing methodology using AHP only.

Investigation of NO Formation Characteristics in Multi Staged Air Combustor (공기 다단 연소기 화염의 NO 발생특성에 관한 연구)

  • Kim, Han-Seok;An, Guk-Yeong;Baek, Seung-Uk;Yu, Myeong-Jong
    • Transactions of the Korean Society of Mechanical Engineers B
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    • v.25 no.11
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    • pp.1594-1605
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    • 2001
  • In this study, a numerical simulation was developed which was capable of predicting the characteristics of NO formation in pilot scale combustor adopting the air-staged burner flame. The numerical calculation was constructed by means of establishing the mathematical models fur turbulence, turbulent combustion, radiation and turbulent nitric oxide chemistry. Turbulence was solved with standard k-$\xi$ model and the turbulent combustion model was incorporated using a two step reaction scheme together with an eddy dissipation model. The radiative transfer equation was calculated by means of the discrete ordinates method with the weighted sum of gray gases model for CO$_2$and H$_2$O. In the NO chemistry model, the chemical reaction rates for thermal and prompt NO were statistically averaged using the $\beta$ probability density function. The results were validated by comparison with measurements. For the experiment, a 0.2 MW pilot multi-air staged burner has been designed and fabricated. Only when the radiation was taken into account, the predicted gas temperature was in good agreement with the experimental one, which meant that the inclusion of radiation was indispensable for modeling multi-air staged gas flame. This was also true of the prediction of the NO formation, since it heavily depended on temperature. Subsequently, it was found that the multi-air staged combustion technique might be used as a practical tool in reducing the NO formation by controlling the peak flame temperature.

Study of Wear Characteristics of Hydraulic Equipment Used in Power Plants (발전소용 유압기기의 마모특성 연구)

  • Lee, Yong Bum;Lee, Gi Chun;Chang, Mu Seong
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.37 no.9
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    • pp.1183-1188
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    • 2013
  • The reliability of hydraulic equipment used in power plants is especially important because failures that occur in the power plant can have a great ripple effect on human lives and financial losses. In this study, specimens using the materials used in the spool and sleeve of hydraulic valves of power plants have been produced, heat-treated, and tested under the precipitation conditions of phosphate ester hydraulic fluid with a variety of conditions. 23 full factorial designs have been applied to evaluate the significance of factors that affect the wear loss of the specimen, specifically, the load, velocity, and temperature. The significance evaluation was performed on the main effects and two-way interactions for wear loss based on the experiment results, and the mathematical equations between the wear loss and the three factors were derived from the analysis results.

Circular Path Generation Technique for Ball Bar Measurement by Simultaneous Movement of Two Axes (2 축 동시구동을 통한 볼바 측정용 원호경로 생성 방법)

  • Lee, Dong-Mok;Lee, Hoon-Hee;Yang, Seung-Han
    • Transactions of the Korean Society of Mechanical Engineers A
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    • v.37 no.6
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    • pp.783-790
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    • 2013
  • Circular path generation for ball bar measurement using the simultaneous movement of two axes with at least one rotary axis requires the execution of CAM software. However, a change in the machine type or measurement condition requires a new execution of the CAM software, which is cumbersome. This paper presents a circular path generation technique that does not require CAM software and is applicable to different types of driving axes with an arbitrary structural configuration of machine tools and any ball bar setup condition. Mathematical equations are derived for three cases using the proposed technique. In addition, to inspect the measurement feasibility for avoiding physical interference among the ball bar parts, a tilting angle calculation is proposed. The validity of the proposed technique was verified by performing a ball bar experiment with A and C as the simultaneous axes of a five-axis machine tool.

Multiobjective Distributed Database System Design using Genetic Algorithms (유전적 알고리즘을 이용한 다목적 분산데이터베이스 설계)

  • Lee, Jae-Uk;Go, Seok-Beom;Jo, Jeong-Bok;Mitsuo Geo
    • The Transactions of the Korea Information Processing Society
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    • v.6 no.8
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    • pp.2000-2007
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    • 1999
  • Recently, DDS (Distributed Database System) has been often implemented on VAN (Value Added Network) as we know the amazing expansion of information network. DDS can yield significant cost and response time advantages over centrailzed systems for geographically distributed organizations. However, inappropriate design can result in high cost and poor response time. In a DDS design, the main problem is 1) how to select proper computer, and 2) how to allocate data fragment into proper nodes. This paper addresses DDS design problem of selecting the proper class of computers and the allocating data files on VAN. Also, the formulated model includes tow objectives, the operating and investment cost. GA (Genetic Algorithm) is developed to solve this mathematical formulation. A numerical experiment shows that the proposed method arrives at a good solution.

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Incremental Model Formulation of Creep under Time-varying Stress History (시간이력 하중을 받는 콘크리트의 점증적 크리프 모델)

  • Park, Yeong-Seong;Shin, Dong-Hun;Lee, Yong-Hak
    • KSCE Journal of Civil and Environmental Engineering Research
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    • v.34 no.3
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    • pp.755-761
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    • 2014
  • Internal or external restraint of concrete strain due to drying shrinkage and creep in concrete structures causes mechanical strain and becomes a source of persistent change in creep-causing stress conditions. Mathematical modeling to incorporate the persistent change of creep-inducing stress is generally achieved with consideration of the ages of concrete and concrete properties at the times of loadings, and stress history. This paper presents an incremental format of creep model based on parallel creep concept to depict the creep under time-varying stress history in developing creep strain. Laboratory experiments are carried out to validate the performance of the presented creep model. Typical creep phenomena are addressed through the comparisons between the measured and predicted creep strains.