• 제목/요약/키워드: higher order solution

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극직교 이방성 회전원판의 진동해석 및 임계속도 I : 정식화 및 해법 (Vibration Analysis and Critical Speeds of Rotating Polar Orthotropic Disks, Part I : Formulation and Solution Method)

  • 구교남
    • 한국소음진동공학회논문집
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    • 제16권2호
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    • pp.169-175
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    • 2006
  • Rotating annular disks are widely used in data storage devices such as CDs, DVDs(digital versatile disks), and HDs(hard disks). Higher data transfer rate in data storage disks could not be achieved by polycarbonate disks in the present market. The problem can be solved by applying the fiber-reinforce composite materials to the disks. In this paper, an application of composite materials to rotating disks is proposed to increase the critical speed. Dynamic equation is formulated in order to calculate the natural frequency and critical speed for rotating composite disks by the Galerkin method. The orthogonal functions are used in series solution. A companion paper(Part II) presents and discusses the numerical results of vibration analysis and critical speed for rotating polar orthotropic disk using the formulation and solution method given in this paper (Part I).

Manufacture and Properties of Inorganic Chemical Treated Wood by Introducing of Fluorides

  • Kim, Soung-Joon;Lee, Jong-Shin
    • Journal of the Korean Wood Science and Technology
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    • 제36권2호
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    • pp.73-78
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    • 2008
  • Inorganic chemical treated wood was prepared by impregnation of calcium or magnesium chloride ($CaCl_2$ or $MgCl_2$) solution and immersion in saturated solution of ammonium fluoride ($NH_4F$) as a reactant in order to make an introduction of a refractory fluorides with fungicidal and insecticidal effects in wood. The weight percent gains (WPGs) were increased with increase in concentration of calcium chloride or magnesium chloride solution, and were higher in treatment with calcium chloride than with magnesium chloride. Inorganic substances were produced mainly in the lumina of tracheides. These substances were proved to be the calcium fluoride or magnesium fluoride by the energy dispersive X-ray analyzer in conjunction with a scanning electron microscope (SEM-EDX). The treated wood showed good decay resistance because the weight losses were hardly occurred by the test fungi such as Tyromyces palustris and Trametes versicolor. The fire resistance effect was superior to the treated wood compared with that of the untreated wood.

전자빔 진공증착기를 이용한 muffler재료의 표면코팅과 내식특성 (Corrosion Behavior and Surface Coating of Muffler Materials by Using EB-PVD)

  • 최한철
    • 한국표면공학회지
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    • 제34권1호
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    • pp.39-48
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    • 2001
  • Fe-Cr-Al alloy has been studied for application in automobile muffler materials due to good corrosion and oxidation resistance. In order to develop the automobile muffler materials, corrosion behaviors of electron beam physical vapor deposition (EB-PVD) coated surface of muffler matericls of muffler materials were investigated using potentiostat. For 0.1M NaCl solution, corrosion potential and pitting potential of Fe-20Cr-10Al was higher than that of Fe-5Cr- 10Al samples. Especially, in the case of Ti and Nb coated samples, pitting potential increased remarkably compared with non-coated samples. For 0.1M $CaCl_2$ solution, Ti-coated Fe-20Cr-10Al showed remarkably improved pitting corrosion resistance in comparison with non-coated Fe-20Cr-10Al and Fe-5Cr-10Al. The number and size of pits were decreased in the case of Ti coated samples in the 0.1M NaCl and 0.1M $CaCl_2$ solution.

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Spin-on Glass를 이용한 실리콘과 유리의 저온 접합 공정 (Low Temperature Bonding Process of Silicon and Glass using Spin-on Glass)

  • 이재학;유중돈
    • Journal of Welding and Joining
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    • 제23권6호
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    • pp.77-86
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    • 2005
  • Low temperature bonding of the silicon and glass using the Spin-on Glass (SOG) has been conducted experimentally to figure out the effects of the SOG solution composition and process variables on bond strength using the Design of Experiment method. In order to achieve the high quality bond interface without rack, sufficient reaction time of the optimal SOG solution composition is needed along with proper pressure and annealing temperature. The shear strength under the optimal SOG solution composition and process condition was higher than that of conventional anodic bonding and similar to that of wafer direct bonding.

토양용액 채취를 위한 토성별 한계수분함량 설정 (Determination of moisture threshold for solution sampling in different soil texture)

  • 이창훈;김명숙;공명석;김유학;오택근;강성수
    • 농업과학연구
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    • 제41권4호
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    • pp.399-404
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    • 2014
  • Soil moisture is an important factor for the availability and circulation of nutrients in arable soil. The purpose of this study was to set thresholds moisture content on soil nitrate concentration in the solution for real-time diagnosis. Sandy loam, silt loam, and sandy loam was filled with $1.2g\;cm^{-3}$ at Wagner pots, 0, 100, and $200mg\;L^{-1}$ of $KNO_3$ was saturated. Nitrate in standard solution was recovered about 95% by passing the porous cup. Nitrate concentrations in sampling of soil solution were examined by using a porous cup. The soil solution was higher in accordance with sandy loam> silt loam> clay loam, limited water filled pore space for sampling soil solution was 33.7, 56.4, and 62.2%, respectively. Nitrate concentration in the soil solution was negligible at sandy loam and silt loam during sampling periods, which was decreased about 50~82% in clay loam compared to the initial $NO_3$-N concentration in the saturated $KNO_3$ solution. Over limitation of soil solution sampling, soil EC and $NO_3$-N content were increased with the saturated $NO_3$-N concentration, regardless of soil texture (p<0.05). Conclusively, soil solution by using a porous cup was possible, regardless of the soil texture, which was useful for the diagnosis in nitrate concentration of soil solution. However, because nitrate concentration of soil solution in a clay loam changes, it was necessary for careful attention in order to take advantage for the real-time diagnosis of nitrogen management in soil.

면방향(面方向) 고차변위(高次變位)를 고려(考慮)한 평판(平板) 유한요소(有限要素)모델 (Plate Bending Finite Element Model Using Higher-order Inplane Displacement Profile)

  • 신현묵;신영식;김형렬
    • 대한토목학회논문집
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    • 제7권1호
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    • pp.65-73
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    • 1987
  • 본(本) 연구(硏究)에서는 면내(面內) 고차(高次) 수평변위(水平變位)를 고려(考慮)한 6절점(節點) 21자유도(自由度)를 갖는 판(板) 유한요소(有限要素)를 Galerkin 가중잔차법(加重殘差法)으로 3차원(次元) 연속체(連續體)로부터 유도(誘導)하고 있다. 요소(要素)의 강성행렬(剛性行列)과 질량행렬(質量行列)은 판의(板) 운동방정식(運動方程式)을 이산화(離散化)(discretization)하여 ($3{\times}3$) Gauss 적분점(積分點)을 이용(利用)한 감차(減次) 적분(積分)을 수행(遂行)하여 구하였다. 본(本) 고차(高次) 판(板) 유한요소(有限要素)의 정확도(正確度)와 효율성(効率性)을 고찰(考察)하기 위하여 여러가지 경계조건(境界條件)을 갖는 정사각형(正四角形) 판(板)의 처짐해석(解析)을 수행(遂行)한 결과(結果), 판(板)의 두께에 관계없이 월등(越等)한 정확도(正確度)를 나타내었다.

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Effects of thickness stretching in FGM plates using a quasi-3D higher order shear deformation theory

  • Adim, Belkacem;Daouadji, Tahar Hassaine
    • Advances in materials Research
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    • 제5권4호
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    • pp.223-244
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    • 2016
  • In this paper, a higher order shear and normal deformation theory is presented for functionally graded material (FGM) plates. By dividing the transverse displacement into bending, shear and thickness stretching parts, the number of unknowns and governing equations for the present theory is reduced, significantly facilitating engineering analysis. Indeed, the number of unknown functions involved in the present theory is only five, as opposed to six or even greater numbers in the case of other shear and normal deformation theories. The present theory accounts for both shear deformation and thickness stretching effects by a hyperbolic variation of ail displacements across the thickness and satisfies the stress-free boundary conditions on the upper and lower surfaces of the plate without requiring any shear correction factor. Equations of motion are derived from Hamilton's principle. Analytical solutions for the bending and free vibration analysis are obtained for simply supported plates. The obtained results are compared with three-dimensional and quasi- three-dimensional solutions and those predicted by other plate theories. It can be concluded that the present theory is not only accurate but also simple in predicting the bending and free vibration responses of functionally graded plates.

Crack-tip constraint analysis of two collinear cracks under creep condition

  • Jiao, Guang-Chen;Wang, Wei-Zhe;Jiang, Pu-Ning
    • Structural Engineering and Mechanics
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    • 제43권3호
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    • pp.311-320
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    • 2012
  • The higher-order asymptotic C(t) - $A_2(t)$ approach was employed to investigate the crack-tip stress of two collinear cracks in a power-law creeping material under the plane strain conditions. A comprehensive calculation was made of the single crack, collinear crack model with S/a = 0.4 and 0.8, by using the C(t) - $A_2(t)$ approach, HRR-type field and the finite element analysis; the latter two methods were used to check the constraint significance and the calculation accuracy of the C(t) - $A_2(t)$ approach, respectively. With increasing the creep time, the constraint $A_2$ was exponentially increased in the small-scale creep stage, while no discernible dependency of the constraint $A_2$ on the creep time was found at the extensive creep state. In addition, the creep time and the mechanical loads have no distinct influence on accuracy of the results obtained from the higher-order asymptotic C(t) - $A_2(t)$ approach. In comparison with the HRR-type field, the higher-order asymptotic C(t) - $A_2(t)$ solution matches well with the finite element results for the collinear crack model.

고차 축대칭 경계 요소에 의한 소형 터보젯 엔진의 터빈 로우터 디스크 해석 (Higher Order Axismmetric Boundary Element Analysis of Turbine Rotor Disk of the Small Turbojet Engine)

  • Kim, Jin-Woo
    • 한국군사과학기술학회지
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    • 제1권1호
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    • pp.128-144
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    • 1998
  • 일반적인 선형 탄성해석 경계 요소법이 초 고속 회전과 정상 열전도에 의한 열 탄성 효과가 고려된 문제에 적용되었다. 축대칭 경계 요소법 구성이 요약되었고, 등가 경계 적분 방정식의 물체력 핵 함수의 체적 적분 전환방법에 일반화된 내적과 벡터 연산법 개념이 도입되었다. 고차 경계 요소 적용을 위한 이산화 수치 해석법이 요약되었고, 소형 젯트 엔진(ADD 500)의 터어빈 로우터 디스크의 해석 결과가 유한 요소해와 비교되었다.

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An efficient and simple higher order shear deformation theory for bending analysis of composite plates under various boundary conditions

  • Adim, Belkacem;Daouadji, Tahar Hassaine;Rabia, Benferhat;Hadji, Lazreg
    • Earthquakes and Structures
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    • 제11권1호
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    • pp.63-82
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    • 2016
  • In this study, the bending and dynamic behaviors of laminated composite plates is examined by using a refined shear deformation theory and developed for a bending analysis of orthotropic laminated composite plates under various boundary conditions. The displacement field of the present theory is chosen based on nonlinear variations in the in-plane displacements through the thickness of the plate. By dividing the transverse displacement into the bending and shear parts and making further assumptions, the number of unknowns and equations of motion of the present theory is reduced and hence makes them simple to use. In the analysis, the equation of motion for simply supported thick laminated rectangular plates is obtained through the use of Hamilton's principle. Numerical results for the bending and dynamic behaviors of antisymmetric cross-ply laminated plate under various boundary conditions are presented. The validity of the present solution is demonstrated by comparison with solutions available in the literature. Numerical results show that the present theory can archive accuracy comparable to the existing higher order shear deformation theories that contain more number of unknowns.