• Title/Summary/Keyword: ${\alpha}$-parameter

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Effect of boundary conditions on the stability of beams under conservative and non-conservative forces

  • Marzani, Alessandro;Viola, Erasmo
    • Structural Engineering and Mechanics
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    • v.16 no.2
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    • pp.195-217
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    • 2003
  • This paper, which is an extension of a previous work by Viola et al. (2002), deals with the dynamic stability of beams under a triangularly distributed sub-tangential forces when the effect of an elastically restrained end is taken into account. The sub-tangential forces can be realised by a combination of axial and tangential follower forces, that are conservative and non-conservative forces, respectively. The studied beams become unstable in the form of either flutter or divergence, depending on the degree of non-conservativeness of the distributed sub-tangential forces and the stiffness of the elastically restrained end. A non-conservative parameter ${\alpha}$ is introduced to provide all possible combinations of these forces. Problems of this kind are usually, at least in the first approximation, reduced to the analysis of beams according to the Bernoulli-Euler theory if shear deformability and rotational inertia are negligible. The equation governing the system may be derived from the extended form of Hamilton's principle. The stability maps will be obtained from the eigenvalue analysis in order to define the divergence and flutter domain. The passage from divergence to flutter is associated with a noticeable lowering of the critical load. A number of particular cases can be immediately recovered.

Mechanical Degradation of Polymers in Dilute Solution (III). The Influence of the Mixed Solvents (稀薄溶液에서의 Polymer의 機械的 切斷 (제3보). 混合溶媒의 영향)

  • Yeong Moo Won
    • Journal of the Korean Chemical Society
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    • v.17 no.3
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    • pp.207-212
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    • 1973
  • The mechanical degradation of poly (-vinylacetate) in several mixed solvents (dioxane-n-butanol, dioxane-sec-butanol, dioxane-ethyleneglycol, dioxane-kerosene.) was studied using the capillary flow method. The velocity constant of scission reaction (k) and the limited degree of polymerization (g) were compared at the same value of [${\eta}$], which is considered as the parameter of molecular dimension of polymers in solution. As result, (k) did not change much, even if the species and the volume fraction of poor (non-) solvents changed, while the value of (g) changed according to the species of poor solvents and the value of [${\eta}$]. From the facts described above, It follows that the limited degree of polymerization (g) were affected by the composition and distribution of mixed solvent molecules around the polymer chain, and the value of $\alpha$ (at [${\eta}$] = $KM^a$) in the polymer solution.

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The Grunwald-Winstein Relationship in the Solvolysis of β-Substituted Chloroformate Ester Derivatives: The Solvolysis of 2-Phenylethyl and 2,2-Diphenylethyl Chloroformates

  • Park, Kyoung-Ho;Yang, Gi-Hoon;Kyong, Jin Burm
    • Bulletin of the Korean Chemical Society
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    • v.35 no.8
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    • pp.2263-2270
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    • 2014
  • Solvolysis rate constants of 2-phenylethyl-(2-$PhCH_2CH_2OCOCl$, 1) and 2,2-diphenylethyl chloroformate (2,2-$Ph_2CHCH_2OCOCl$, 2), together with the previously studied solvolyses of ${\alpha}$- and ${\beta}$-substituted chloroformate ester derivatives, are reported in pure and binary solvents at $40.0^{\circ}C$. The linear free energy relationship (LFER) and sensitivities (l and m) to changes in solvent nucleophilicity ($N_T$) and solvent ionizing power ($Y_{Cl}$) of the solvolytic reactions are analyzed using the Grunwald-Winstein equation. The kinetic solvent isotope effects (KSIEs) in methanol and activation parameter values in various solvents are investigated for 1 and 2. These results support well the bimolecular pathway with same aspects. Furthermore, the small negative values of the entropies of activation of solvolysis of 1 and 2 in the highly ionizing aqueous fluoroalcohols are consistent with the ionization character of the rate-determining step, and the KSIE values of 1.78 and 2.10 in methanol-d indicate that one molecule of solvent acts as a nucleophile and the other acts as a general-base catalyst. It is found that the ${\beta}$-substituents in alkyl chloroformate are not the important factor to decide the solvolysis reaction pathway.

Multiple Source Modeling of Low-Reynolds-Number Dissipation Rate Equation with Aids of DNS Data

  • Park, Young-Don;Shin, Jong-Keun;Chun, Kun-Go
    • Journal of Mechanical Science and Technology
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    • v.15 no.3
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    • pp.392-402
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    • 2001
  • The paper reports a multiple source modeling of low-Reynolds-number dissipation rate equation with aids of DNS data. The key features of the model are to satisfy the wall limiting conditions of the individual source terms in the exact dissipation rate equation using the wall damping functions. The wall damping functions are formulated in term of dimensionless dissipation length scale ι(sup)+(sub)D(≡ι(sub)D($\upsilon$$\xi$)(sup)1/4/$\upsilon$) and the invariants of small and large scale turbulence anisotropy tensors. $\alpha$(sub)ij(=$\mu$(sub)i$\mu$(sub)j/$\kappa$-2$\delta$(sub)ij/3) and e(sub)ij(=$\xi$(sub)ij/$\xi$-2$\delta$(sub)ij/3). The model constants are optimized with aids of DNS data in a plane channel flow. Adopting the dissipation length scale as a parameter of damping function, the applicabilities of $\kappa$-$\xi$ model are extended to the turbulent flow calculation of complex flow passages.

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The Tense-Lax Question and Intraoral Air Pressure in English Stops

  • Kim, Dae-Won
    • Speech Sciences
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    • v.9 no.4
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    • pp.113-130
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    • 2002
  • Measurements were made of pressure rise time (PoRT), voice cessation time, flattened peak intraoral air pressure (Po), pressure static time (PoST), pressure-fall time and the duration of oral closure as four English speakers uttered isolated nonsense $V_{1}CV_{2}$ words containing /b/ and /p/ ($V_{1}=V_{2}$ and the V was /$\alpha$/), with stress on either $V_{1}orV_{2}$ alternately. The hypothesis tested was: The tense stop consonant. will be characterized either by a higher Po or a longer PoST, and/or by both against lax. Findings: (1) PoRT was significantly greater in /b/ than /p/, (2) the voiceless stop /p/ produced generally greater mean Po, averaged across five tokens, than its voiced counterpart /b/, but statistically insignificant, and (3) altogether, across stress, tokens and subjects, the difference in the calculated pressure static time (PoSTc), i.e., PoST + PoRT, between /p/ and /b/ was highly significant (p $\leq$ 0.003). Although further investigations remain to be taken, the results strongly supported the linguistic hypothesis of tense-lax distinction, with /b/ being lax and /p/ tense. Airflow resistance at the glottis and supraglottal air volume are assumed to be responsible for much of difference in PoRT between /p/ and /b/. The PoSTc reflecting, although indirectly, the respiratory efforts during the oral closure of a stop, was a convincing phonetic parameter of the consonantal tenseness based on respiratory efforts. The effects of stress on Po and PoSTc were inconsistent, and the shorter PoRT than consonantal constriction interval was always accompanied by Po and PoST.

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Humidity Properties of Sintered MnWO4 with a Low Temperature Firing Frit (저온소성 프릿이 첨가된 MnWO4의 소결체의 습도특성)

  • Jung, Byung-hae;So, Ji-young;Kim, Hyung-sun
    • Korean Journal of Materials Research
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    • v.13 no.2
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    • pp.120-125
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    • 2003
  • A low melting borosilicate glass frit was used as an adhesion promoter, which enables $MnWO_4$to be sintered with in a reasonable sintering temperature range ($800∼1000^{\circ}C$). The glass was evaluated for glass transition temperature ($Τ_{g}$ X) and thermal expansion coefficient($\alpha$). Mechanical property (Vickers hardness), grain growth, the comparison of lattice parameter and pore distribution of sintered $MnWO_4$ with the frit were methodically discussed. As sintering temperature increased, a typical liquid phase sintering showed the rapid grain growth and high densification of X$MnWO_4$grain, improvement of hardness (until $920^{\circ}C$) and different pore size distribution. Resistance of sintered $MnWO_4$varied from 450k$\Omega$ to 8.8M$\Omega$ under the measuring humidify ranging from 30 to 90%. Thus, the results will contribute to the application of glass frit containing sensor materials and their future use.

Creep Behaviour of Solution Treated Alpha Titanium Alloy for Automotive Parts (자동차부품 소재개발을 위한 알파 티타늄 합금의 용체화 처리후 정적 크리프 거동)

  • Hwang Kyungchoong;Yoon Jongho
    • Transactions of the Korean Society of Automotive Engineers
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    • v.13 no.1
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    • pp.153-158
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    • 2005
  • Titanium alloy has widely been used as material for automotive parts because it has high specific strength. It is also light and harmless to human body. But, we have little design data about the creep behaviors of the alloy. Therefore, in this study, creep tests under four constant stress conditions have been conducted with low different temperature conditions. A series of creep tests had been performed to get the basic design data and life prediction of titanium products and we have gotten the fallowing results. First, the stress exponents decrease as the test temperatures increased. Secondly, the creep activation energy gradually decrease as the stresses became bigger. Thirdly, the constant of Larson-Miller parameter on this alloy was estimated as about 7.5. And for the last, the fractographs at the creep rupture showed the ductile fracture due to the intergranullar rupture.

A Study On The Parameter Selection of ($1+{\lambda}$) Evolution Strategy (($1+{\lambda}$)진화 전략 알고리즘의 파라미터 선정에 대한 연구)

  • Park, Sang-Hun;An, Kwang-Ok;Cho, Sung-Mun;Cho, Dong-Hyeok;Jung, Hyun-Kyo
    • Proceedings of the KIEE Conference
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    • 2001.04a
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    • pp.75-77
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    • 2001
  • 전기기기 최적 설계에 있어서 결정론적 최적화 방법은 국부해를 빠른 속도로 찾을 수 있지만 최적값에 대한 보장이 어려우므로 비결정론적 방법인 진화전략 알고리즘을 많이 사용한다. 전기기기 최적화에 쓰이는 많은 확률적 알고리즘 중에서 진화 전략 알고리즘은 시뮬레이티드 어닐링과 유전 알고리즘을 결합한 방법으로, 전체 최적점 탐색이 가능할 뿐만 아니라 알고리즘이 비교적 간단하면서도 빠른 수렴 특성을 갖고 있다. 그리고, 종류 또한 다양하다. 진화 전략 알고리즘 중에서 중요한 것은 수렴속도와 성공률에 기여하는 파라미터들을 잘 선정하는 것이다. 본 논문에서는, 진화 전략 알고리즘의 중요한 인자인 자식 세대의 개수인 ${\lambda}$값과 ${\alpha}$값을 변화시켜 가면서 변수 개수에 따른 최적화된 조합을 제시한다. 본 논문의 결과는 전기기기 최적 설계에 응용하는데 도움이 될 것으로 사료된다.

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A Study for the Effect of Liquid Droplet Impingement Erosion on the Loss of Pipe Flow Materials (배관 재질 손상에 미치는 액적충돌침식의 영향에 대한 연구)

  • Kim, Kyung Hoon;Cho, Yun Su;Kim, Hyung Joon
    • Journal of ILASS-Korea
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    • v.18 no.1
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    • pp.9-15
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    • 2013
  • Wall thinning of pipeline in power plants occurs mainly by flow acceleration corrosion (FAC), cavitation erosion (C/E), liquid droplet impingement erosion (LDIE). Wall thinning by FAC and C/E has been well investigated; however, LDIE in plant industries has rarely been studied due to the experimental difficulty of setting up a long injection of highly-pressurized air. In this study, we designed a long-term experimental system for LDIE and investigate the behavior of LDIE for three kinds of materials (A106B, SS400, A6061). The main control parameter was the air-water ratio (${\alpha}$), which was defined as the volumetric ratio of water to air (0.79, 1.00, 1.72). In order to clearly understand LDIE, the spraying velocity (${\nu}$) of liquid droplets was controled larger then 160 m/s and the experiments were performed for 15 days. Therefore, this research focuses relation between erosion rate and air-water ratio on the various pipe-flow materials. NPP(nuclear power plant)'s LDIE prediction theory and management technique were drawn from the obtained data.

The Preparation and Magnetic Properties of Single-Crystallite of Ba-Ferrite from Ba-Sol Coated $\delta$-FeOOH (Ba-Sol을 도포한 $\delta$-FeOOH로부터 Ba-Ferrite 단결정 미리자의 제조와 그 자기적 특성)

  • 박영도;이훈하;이재형;오영우;김태옥
    • Journal of the Korean Ceramic Society
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    • v.32 no.12
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    • pp.1383-1391
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    • 1995
  • Hexagonal $\delta$-FeOOH was coated with Ba-Sol, which was produced by hydrolizing Ba(OC2H5)2, Ba-Sol coated $\delta$-FeOOH spread on a stainless plate, dried at 8$0^{\circ}C$ and then heat-treated. In this way, Ba-ferrite fine particles were produced. although there was a difference in a degree of hydrolysis of Ba(OC2H5)2, crystalline phase of Ba-ferrite appeared around 617$^{\circ}C$, and Ba-ferrite single phase was obtained after heat treatment at 80$0^{\circ}C$ for 2 hr. When Ba-ferrite was made from Ba-Sol coated $\delta$-FeOOH, $\delta$-FeOOH was thermally decomposed to $\alpha$-Fe2O3 at $700^{\circ}C$, producing a porous structure which was observed by TEM photographs. But the porous structure was not observed at 80$0^{\circ}C$. Ba-ferrite, heat-treated at 80$0^{\circ}C$ for 2 hr, had mean particle size of 1000$\AA$, lattice parameter of a0=5.889243 $\AA$ and c0=23.214502 $\AA$, a saturation magnetization ($\sigma$8) of 45.3 emu/g and a coercive force (Hc) of 5200Oe.

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