• Title/Summary/Keyword: Expansion Method

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Measurement Method of Linear Expansion Coefficient for Solid Matter using Michelson Interferometer (Michelson 간섭계에 의한 고체의 선팽창계수 측정방법)

  • Kim, Hong-Gyun;Kim, Young-Sun
    • Journal of Engineering Education Research
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    • v.16 no.2
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    • pp.24-30
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    • 2013
  • This paper deals with the measurement theory and technique of linear expansion coefficient for solid material using Michelson interferometer. The Michelson interferometer produces interference fringes by splitting a beam of monochromatic light so that one beam strikes a fixed mirror and the other a movable mirror. When the reflected beams are brought back together, an interference pattern results. Precise distance measurements until a quarter of wave length can be made with the Michelson interferometer by moving the mirror and counting the interference fringes which move by a photo diode. This paper represents the application of Michelson interferometer for measuring infinitesimal length system and shows the measurement method of linear expansion coefficients for various materials like copper, aluminum and iron. the results are good agreement with theoretical value within margin of error for each materials.

The Effect of Fly Ash Replacement on Alkali - Silica Reaction (플라이 애쉬 치환에 따른 알칼리-실리카 반응의 팽창저감 효과)

  • Kim Jung Eun;Jun Ssang Sun;Seo Ki Young;Jin Chi Sub
    • Proceedings of the Korea Concrete Institute Conference
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    • 2004.11a
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    • pp.185-188
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    • 2004
  • The effect of fly ash to prevent detrimental expansion due to alkali -silica reaction was investigated through the ASTM C 1260 method that is one of the most commonly used method because results can be obtained within about 16 days. Reactive aggregate used is a netamorphic rock and sedimentary rock. The replacement proportions of portland cement by fly ash were respectively 0, 5, 10, 15, 25 and 35 percent. Expansion of mortar bars due to alkali-silica reaction decreased with the increase of fly ash content. The results show that the expansion due to alkali-silica reaction is dramatically reduced in the presence of high volume fly ash. When the fly ash content examine from all angles (strength and a flow), the replacement proportions of fly ash is about $25\%$ in order to control on expansion.

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Prediction of Thermal Expansion Coefficients using the Second Phase Fraction and Void of Al-AlN Composites Manufactured by Gas Reaction Method (가스반응법으로 제작된 Al-ALN 복합재의 제 2상 분율과 기공에 따른 열팽창계수 예측)

  • Yoon, Juil
    • Journal of the Korean Society of Manufacturing Process Engineers
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    • v.18 no.4
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    • pp.41-47
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    • 2019
  • The advent of highly integrated, high-power electronics requires low a coefficient of thermal expansion performance to prevent delamination between the heat dissipation material and substrate. This paper reports a preliminary study on the manufacturing technology of gas reaction control composite material, focusing on the prediction of the thermal expansion coefficients of Al-AlN composite materials. We obtained numerical equivalent property values by using finite element analysis and compared the values with theoretical formulas. Al-AlN should become the optimal composite material when the proportion of the reinforcing phase is approximately 0.45.

A Multigroup Diffusion Nodal Scheme : Hybrid of AFEN and PEN Methods

  • Cho, Nam-Zin;Noh, Jae-Man
    • Proceedings of the Korean Nuclear Society Conference
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    • 1995.10a
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    • pp.29-34
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    • 1995
  • The good features of the analytic function expansion nodal (AFEN) method are utilized to develop a practical scheme jot the multigroup diffusion problems, in combination with the polynomial expansion nodal (PEN) method. The thermal group fluxes exhibiting strong gradients are solved by the AFEN method[1-6], while the fast group fluxes that are smoother than the thermal group fuzes are solved by the PEN method[7-9]. The scheme is applied to a MOX-fuel loaded core with good results.

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Partial Fraction Expansions for Newton's and Halley's Iterations for Square Roots

  • Kouba, Omran
    • Kyungpook Mathematical Journal
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    • v.52 no.3
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    • pp.347-357
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    • 2012
  • When Newton's method, or Halley's method is used to approximate the pth root of 1-z, a sequence of rational functions is obtained. In this paper, a beautiful formula for these rational functions is proved in the square root case, using an interesting link to Chebyshev's polynomials. It allows the determination of the sign of the coefficients of the power series expansion of these rational functions. This answers positively the square root case of a proposed conjecture by Guo(2010).

NUMERICAL METHOD FOR SINGULARLY PERTURBED THIRD ORDER ORDINARY DIFFERENTIAL EQUATIONS OF REACTION-DIFFUSION TYPE

  • ROJA, J. CHRISTY;TAMILSELVAN, A.
    • Journal of applied mathematics & informatics
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    • v.35 no.3_4
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    • pp.277-302
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    • 2017
  • In this paper, we have proposed a numerical method for Singularly Perturbed Boundary Value Problems (SPBVPs) of reaction-diffusion type of third order Ordinary Differential Equations (ODEs). The SPBVP is reduced into a weakly coupled system of one first order and one second order ODEs, one without the parameter and the other with the parameter ${\varepsilon}$ multiplying the highest derivative subject to suitable initial and boundary conditions, respectively. The numerical method combines boundary value technique, asymptotic expansion approximation, shooting method and finite difference scheme. The weakly coupled system is decoupled by replacing one of the unknowns by its zero-order asymptotic expansion. Finally the present numerical method is applied to the decoupled system. In order to get a numerical solution for the derivative of the solution, the domain is divided into three regions namely two inner regions and one outer region. The Shooting method is applied to two inner regions whereas for the outer region, standard finite difference (FD) scheme is applied. Necessary error estimates are derived for the method. Computational efficiency and accuracy are verified through numerical examples. The method is easy to implement and suitable for parallel computing. The main advantage of this method is that due to decoupling the system, the computation time is very much reduced.

A Study on the Profile Change Measurement of Steam Generator Tubes with Tube Expansion Methods

  • Kim, Young-Kyu;Song, Myung-Ho;Choi, Myung-Sik
    • Journal of the Korean Society for Nondestructive Testing
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    • v.31 no.5
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    • pp.543-551
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    • 2011
  • Steam generator tubes for nuclear power plants contain the local shape transitions on their inner or outer surface such as dent, bulge, over-expansion, eccentricity, deflection, and so on by the application of physical force during the tube manufacturing and steam generator assembling and by the sludge (that is, corrosion products) produced during the plant operation. The structural integrity of tubes will be degraded by generating the corrosive crack at that location. The profilometry using the traditional bobbin probes which are currently applied for measuring the profile change of tubes gives us basic information such as axial locations and average magnitudes of deformations. However, the three-dimensional quantitative evaluation on circumferential locations, distributional angle, and size of deformations will have to be conducted to understand the effects of residual stresses increased by local deformations on corrosive cracking of tubes. Steam generator tubes of Korean standard nuclear power plants expanded within their tube-sheets by the explosive expansion method and suffered from corrosive cracks in the early stage of power operation. Thus, local deformations of steam generator tubes at the top of tube-sheet were measured with an advanced rotating probe and a laser profiling system for the two cases where the tubes expanded by the explosive expansion method and hydraulic expansion. Also, the trends of eccentricity, deflection, and over-expansion of tubes were evaluated. The advanced eddy current profilometry was confirmed to provide accurate information of local deformations compared with laser profilometry.

CHANCES OF THE NASAL AIRWAY RESISTANCE WITH RAPID PALATAL EXPANSION USING RHINOMANOMETRY (상악골 급속 확장시(Rapid Palatal Expansion) 비강통기도 검사(Rhinomanometry)를 통한 비강기도 저항(Nasal Airway Resistance) 변화에 관한 연구)

  • Baik, Hyoung-Seon;Koh, Sung-Hui;Lee, Jeung-Gweon
    • The korean journal of orthodontics
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    • v.21 no.1 s.33
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    • pp.17-29
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    • 1991
  • The purpose of this study was to provide quantitative data describing the effect of rapid palatal expansion (RPE) on nasal airway resistance (NAR). RPE is an orthopedic procedure which is commonly used to widen the maxilla in skeletal Class III patients. 18 subjects (9 males and 9 females, mean age: 10 years 7 months) were selected from the Orthodontics in Yongdong Severance Hospital. Recordings of NAR were taken by active anterior method prior to expansion, immediately after desired maximum expansion, and after approximately 3 months and 6 months, and 1 year. All data was recorded and statistically processed with the SPSS program of IBM PC system. The results are as followings . 1. The average initial NAR of the subjects was 3.84 cm $H_2O/LPS\;(SD{\pm}1.34)$. It was greater than the average NAR of the normal subjects. 2. Among 18 subjects, 9 subjects showed reduction of NAR and 9 subjects showed no specific change of NAR after expansion. 3 An average reduction in NAR after immediately expansion was statistically significant at the 0.05 level. 4. The reduction appeared stable throughout the post treatment observation period of 1 year after expansion. From these results, it was suggested that RPE is a useful method to reduce NAR.

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An Analysis on the Properties of Undispersed Underwater Mortar for Augered Pile with Expansive Additives (팽창재 혼입율 변화에 따른 오거파일용 수중불분리 모르터의 특성 분석)

  • 이광설;이대주;유홍종;권지훈;한일영;한천구
    • Proceedings of the Korea Concrete Institute Conference
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    • 1998.04a
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    • pp.255-260
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    • 1998
  • As a part of the study on the development of augered pile method, this study is intended to investigate the properties of fresh and hardened mortar with the proportion of expansion additives. With the increase of proportion of expansion additives, the fluidity of mortar shows a decrease while air content increases and setting time gets retarded. It show the satisfactory property in strength at 5% of proportion, and shows more expansion with the increase of proportion of expansion additives and sand/cement ratio. In conclusion, both of strength and expansion reveal appropriate at 10% of proportion of expansion additives.

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A Study of Influence on the Thermal deflection of the Feed system in the Bearing Arrangement method (베어링 조합방법이 이송축 열변위에 주는 영향에 관한 연구)

  • 홍성오;김선진;조규재
    • Proceedings of the Korean Society of Machine Tool Engineers Conference
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    • 2001.04a
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    • pp.46-52
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    • 2001
  • One of the important technical issues is how to decrease thermal expansion of ballscrew in proportion to the increase of machining speed. when measuring force of stretch of ballscrew, since not only actual expansion and the value of bending have to be considered, it's impossible to definite the exact value of expansion. In addition, support bearings of ballscrew gain considerable force in axial direction. It also generates thermal expansion on the ballscrew, and deteriorates the bearings. In conclusion, it's impossible to give the pretension enough to absorb the all elongation due to thermal expansion generated during machine running. If gave, bed, column and saddle are all bent to change machine accuracy, and the support bearings of ballscrew are damaged. The purpose of this paper is to study the pretension of support bearing of ballscrew in machine tool.

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