• Title/Summary/Keyword: Expansion Method

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The Effect of Liquid Level on the Natural Frequencies of a Partially Liquid-Filled Circular Cylindrical Shell (유체로 채워진 원통형 쉘의 고유진동수에미치는 수위의 영향)

  • 정경훈;이성철
    • Proceedings of the Korean Society of Precision Engineering Conference
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    • 1995.04b
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    • pp.314-319
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    • 1995
  • The effect of liquid level on the natural frequencies and mode shapes of a partially liquid-filled circular cylindrical shell with various boundary conditions is investigated by means of a theoretical analysis based upon Fourier series expansion method and a finite element analysis using ANSYS computer program. Two dimensional mode shapes of the liquid-coupled shell structure are obtained by the ANSYS finite element analysis and show that the liquid level affect the nodal point movement. It is found that the variation of normalized naturalfrequencies (natural frequencies of liquid-filled shell/antural frequencies ofempty shell) to the liquid level is depend on the axial mode numbers and circumferential wave numbers. Additionally, it is found that the number of variational steps of normalized natural frequencies is identicial to that of axial nodal points of the mode shape.

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Absolute position measurement by lateral shearing interferometry of point-diffracted spherical waves (점회절 구면파의 전단 간섭계를 이용한 절대위치 측정)

  • Chu J.;Kim S.W.
    • Proceedings of the Korean Society of Precision Engineering Conference
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    • 2006.05a
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    • pp.25-26
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    • 2006
  • The method measuring the absolute position of a point diffraction source emitting a spherical wavefront in three-dimension is proposed. Two-dimensional interference of spherical wavefronts is used to overcome ambiguity of phase order. The spherical wavefront is explicated by Taylor series expansion, from which a radius of curvature of a spherical wavefront and its center position in three-dimension are obtainable. The spherical wavefront is reconstructed by a modified lateral shearing interferometer, which uses single-mode fiber as a point diffraction source.

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ARITHMETIC AVERAGE ASIAN OPTIONS WITH STOCHASTIC ELASTICITY OF VARIANCE

  • JANG, KYU-HWAN;LEE, MIN-KU
    • Journal of the Korean Society for Industrial and Applied Mathematics
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    • v.20 no.2
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    • pp.123-135
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    • 2016
  • This article deals with the pricing of Asian options under a constant elasticity of variance (CEV) model as well as a stochastic elasticity of variance (SEV) model. The CEV and SEV models are underlying asset price models proposed to overcome shortcomings of the constant volatility model. In particular, the SEV model is attractive because it can characterize the feature of volatility in risky situation such as the global financial crisis both quantitatively and qualitatively. We use an asymptotic expansion method to approximate the no-arbitrage price of an arithmetic average Asian option under both CEV and SEV models. Subsequently, the zero and non-zero constant leverage effects as well as stochastic leverage effects are compared with each other. Lastly, we investigate the SEV correction effects to the CEV model for the price of Asian options.

Effect of Boundary Conditions of Failure Pressure Models on Reliability Estimation of Buried Pipelines

  • Lee, Ouk-Sub;Pyun, Jang-Sik;Kim, Dong-Hyeok
    • International Journal of Precision Engineering and Manufacturing
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    • v.4 no.6
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    • pp.12-19
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    • 2003
  • This paper presents the effect of boundary conditions in various failure pressure models published for the estimation of failure pressure. Furthermore, this approach is extended to the failure prediction with the aid of a failure probability model. The first order Taylor series expansion of the limit state function is used in order to estimate the probability of failure associated with each corrosion defect in buried pipelines for long exposure period with unit of years. A failure probability model based on the von-Mises failure criterion is adapted. The log-normal and standard normal probability functions for varying random variables are adapted. The effects of random variables such as defect depth, pipe diameter, defect length, fluid pressure, corrosion rate, material yield stress, material ultimate tensile strength and pipe thickness on the failure probability of the buried pipelines are systematically investigated for the corrosion pipeline by using an adapted failure probability model and varying failure pressure model.

A Case of Forehead Reconstruction with Remnant Forehead Flap Unit (잔여 전두피판을 한 단위로 이용한 전두연부조직 결손의 재건: 증례보고)

  • Lee, Sung Jun;Kim, In Kyu;Seul, Chul Hwan;Kim, Sug Won
    • Archives of Plastic Surgery
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    • v.32 no.6
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    • pp.757-759
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    • 2005
  • Acquired defects involving exposed bone on the forehead is challenging to reconstruct. Skin expansion provides an ideal thin flap for forehead aesthetic unit, but it takes long time and high cost, and many patients are dissatisfied at their figures. Free flap can provide enough tissue immediately, but it takes long time and has the risk of mismatches of color and texture. This report details our experiences with two patients who had soft tissue defect on their forehead that was covered with remnant forehead flap unit. This method uses one-unit-forehead island flap based on supratrochlear and supraorbital vessel. We obtained satisfactory results in terms of aesthetic and functional consideration.

Numerical Simulations on the O-ring Extrusion in Automotive Engines (자동차 엔진에서 O-링의 압출거동에 관한 수치적 연구)

  • 이일권;김청균
    • Tribology and Lubricants
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    • v.15 no.4
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    • pp.297-303
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    • 1999
  • O-rings in automotive engines are important components such as a coolant pipe, engine oil circulating lines and fuel injector for sealing that makes efficient performance of the engine. Life cycle of O-rings is effected in environments of the O-ring seal, like that applied pressure, working temperature, precompressed ratio and materials. It is related in extrusion, expansion and fatigue failure of O-rings. In this paper, an pressurized, compressed elastomeric O-ring inserted into a rectangular groove is analysed numerically using the nonlinear finite element method. The calculated FEM results showed that extrusion ratio and contact stress are strongly related to the gap clearance and edge radius of the groove.

Numerical Study on the Dissolution Behavior of $CO_2$ Hydrate for Global Warming Mitigation (지구온난화 저감을 위한 이산화탄소 하이드레이트 용해거동에 대한 수치적 연구)

  • Kim, Nam-Jin;Seo, Hyang-Min;Chun, Won-Gee
    • New & Renewable Energy
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    • v.2 no.4 s.8
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    • pp.4-11
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    • 2006
  • The idea of $CO_2$ sequestration in the ocean is proposed to be an effective mitigation strategy to counteract potential global warming due to the greenhouse effect. Therefore, in the present study, calculations of the dissolution behavior of $CO_2$ hydrate when liquid carbon dioxide is released at 1,000m and 1,500m in depth are performed. The results show the liquid $CO_2$ injected in the ocean becomes $CO_2$ bubble at between 350 m in depth, and the injection from a moving ship is a more effective method of dissolution than through a fixed pipeline. It so also noted that the ultimate plume generated from $CO_2$ bubbles repeats expansion and shrinking due to the peeling from a fixed pipeline.

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The Uptake of Solvent in Polymeric Thin Membranes By a Relaxation-Sorption Coupled Mechanism

  • Song, Kyu-Min;Hong, Won-Hi
    • Proceedings of the Membrane Society of Korea Conference
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    • 1995.10a
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    • pp.43-44
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    • 1995
  • The diffusion behavior of liquid into polymer has been described by Fick's law, but the departure from Fickian diffusion is frequently found. In this study, 'noble' expressions for the rates of relaxation and sorption are introduced to eliminate these limitations. The ralaxation-sorption coupled mechanism model are based on the possibility of contacting liquid molecule and the active site which has the numerical concept of free volume. The concept has an analogy of reaction rate expressed by the possibility of collision with molecules and used in adsorption and reactive extraction etc. The new model simulated by Rungc-Kutta method for initial-value problem and Fickian diffusion is caompared with experimental data. The results show that the ralaxation-sorption coupled mechanism is able to account well for Fickian and non-Fickian sorption behavior including sigmoid and two-stage. In addition, this model has a chance of expansion to multi-component sorption with ease.

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The prediction of performance, exhaust emissions and EGR effect of a spark ignition engine by cycle simmulation and experimental method (스파아크 점화기관의 사이클 시뮬레이션과 실험적 방법에 의한 성능, 배출가스, EGR효과의 예측에 관한 연구)

  • 정용일;성낙원
    • Journal of the korean Society of Automotive Engineers
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    • v.8 no.2
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    • pp.31-42
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    • 1986
  • The prediction of performance, exhaust emissions and EGR effect is made by the SI engine cycle simulation. In this simulation several models are employed - two zome, thermodynamic combustion, mass fraction burned, heat transfer, chemical equilibrium, chemical kinetics for NOx, laminar flame speed for ignition delay. The chemical species in burned gas considered are 13 species-CO$_{2}$, CO, $O_{2}$, H$_{2}$O, H$_{2}$,OH, H, O, N$_{2}$, NO$_{2}$, N, Ar - and the cylinder pressure, burned and unburned zone temperature and composition of gas are calculated at each crank angle through the compression, ignition delay, combustion and expansion process. To check the validity of the model, experimental study is done for measuring emissions, combustion pressure and engine output. The predicted values for pressure and emissions show qualitative agreement with the measured data and the EGR effect also shows similar tendency.

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An Adaptive Genetic Algorithm Based Optimal Feeder Routing for Distribution System Planning (적응 유전알고리즘을 이용한 배전계통 계획의 급전선 최적경로 선정)

  • Kim, Byung-Seop;Kim, Min-Soo;Shin, Joong-rin
    • The Transactions of the Korean Institute of Electrical Engineers A
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    • v.50 no.2
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    • pp.58-66
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    • 2001
  • This paper presents an application of a newly designed Adaptive Genetic Algorithm (AGA) to solve the Optimal Feeder Routing (OFR) problem for distribution system planning. The main objective of the OFR problem usually is to minimize the total cost that is the sum of investment costs and system operation costs. We propose a properly designed AGA, in this paper, which can handle the horizon-year expansion planning problem of power distribution network in which the location of substation candidates, the location and amount of forecasted demands are given. In the proposed AGA, we applied adaptive operators using specially designed adaptive probabilities. we also a Simplified Load Flow (SLF) technique for radial networks to improve a searching efficiency of AGA. The proposed algorithm has been evaluated with the practical 32, 69 bus test system to show favorable performance. It is also shown that the proposed method for the OFR can also be used for the network reconfiguration problem in distribution system.

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