• Title/Summary/Keyword: order ${\eta}$

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Seismic structural demands and inelastic deformation ratios: a theoretical approach

  • Chikh, Benazouz;Mebarki, Ahmed;Laouami, Nacer;Leblouba, Moussa;Mehani, Youcef;Hadid, Mohamed;Kibboua, Abderrahmane;Benouar, Djilali
    • Earthquakes and Structures
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    • v.12 no.4
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    • pp.397-407
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    • 2017
  • To estimate the structural seismic demand, some methods are based on an equivalent linear system such as the Capacity Spectrum Method, the N2 method and the Equivalent Linearization method. Another category, widely investigated, is based on displacement correction such as the Displacement Coefficient Method and the Coefficient Method. Its basic concept consists in converting the elastic linear displacement of an equivalent Single Degree of Freedom system (SDOF) into a corresponding inelastic displacement. It relies on adequate modifying or reduction coefficient such as the inelastic deformation ratio which is usually developed for systems with known ductility factors ($C_{\mu}$) and ($C_R$) for known yield-strength reduction factor. The present paper proposes a rational approach which estimates this inelastic deformation ratio for SDOF bilinear systems by rigorous nonlinear analysis. It proposes a new inelastic deformation ratio which unifies and combines both $C_{\mu}$ and $C_R$ effects. It is defined by the ratio between the inelastic and elastic maximum lateral displacement demands. Three options are investigated in order to express the inelastic response spectra in terms of: ductility demand, yield strength reduction factor, and inelastic deformation ratio which depends on the period, the post-to-preyield stiffness ratio, the yield strength and the peak ground acceleration. This new inelastic deformation ratio ($C_{\eta}$) is describes the response spectra and is related to the capacity curve (pushover curve): normalized yield strength coefficient (${\eta}$), post-to-preyield stiffness ratio (${\alpha}$), natural period (T), peak ductility factor (${\mu}$), and the yield strength reduction factor ($R_y$). For illustrative purposes, instantaneous ductility demand and yield strength reduction factor for a SDOF system subject to various recorded motions (El-Centro 1940 (N/S), Boumerdes: Algeria 2003). The method accuracy is investigated and compared to classical formulations, for various hysteretic models and values of the normalized yield strength coefficient (${\eta}$), post-to-preyield stiffness ratio (${\alpha}$), and natural period (T). Though the ductility demand and yield strength reduction factor differ greatly for some given T and ${\eta}$ ranges, they remain take close when ${\eta}>1$, whereas they are equal to 1 for periods $T{\geq}1s$.

Development of Multistage Concentrating Solar Collector - I. Thermal performance of multistage cylindrical parabolique concentrating solar collector (다단이차원(多段二次元) 집광식(集光式) 태양열(太陽熱) 집열기(集熱器) 개발(開發)에 관(關)한 연구(硏究) - I. 다단이차원(多段二次元) 집광식(集光式) 태양열(太陽熱) 집열기(集熱器)의 열적(熱的) 성능분석(性能分析))

  • Song, Hyun-Kap
    • Solar Energy
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    • v.6 no.2
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    • pp.3-14
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    • 1986
  • It is desirable to collect the solar thermal energy at relatively high temperature in order to minimize the size of thermal storage system and to enlarge the scope of solar thermal energy utilization. In this study, to develop a solar collector that has both advantages of collecting solar thermal energy at high temperature and fixing conveniently the collector system for long term period, a cylindrical parabolique concentrating solar collector (M.C.P.C.S.C) was designed, which has several rows of parabolique reflectors and thin thickness such as the flat-plate solar collector, maintaining the optical form of concentrating solar collector. The thermal performance of the M.C.P.C.S.C. newly designed in this study was analysed theoretically and experimentally. The results are summarized as follows: 1) prediction equation for outlet temperature, $T_o$, of heat transfer fluid and for the thermal efficiency, ${\eta}$, of the collector were derived as; o $$T_o=[C+B1_n(\frac{I_c(t)}{pv^3})]T_i$$ o $${\eta}=\frac{A}{A_c}\dot{m}[(C-1)+B1_n(E{\cdot}di^6\frac{I_c(t)}{\dot{m}^3})]\frac{T_i}{I_c(t)}$$ 2) When the insolation on the tilted solar collector surface, $I_c$, was $900-950W/m^2$ and the heat transfer fluid was not circulated in tubular absorber, the maximum temperature on the absorber surface was $100-118^{\circ}C$, this result suggested that the heat transfer fluid could be heated up to $98-116^{\circ}C$. The maximum temperature on the absorber surface was decreased with the increase of the collector shape factor, $L_p/L_w$ 3) There was a good agreement between the experimental and theoretical value of solar collector efficiency, ${\eta}$, which was proportional to the collector shape factor, $L_p/L_w$ 4) It is desirable to continue the study on the relationship between the collector shape factor, $L_p/L_w$, and the thermal efficiency of solar collector.

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Effect of Plastic Deformation and Annealing Process Parameters on Strength and Electrical Conductivity of Cu-Fe Alloys (Cu-Fe 합금에서 소성변형과 어닐링 공정조건이 인장강도와 전기전도도에 미치는 영향)

  • Woo, Chang-Jun;Park, Hyun Gyoon
    • Journal of the Korean Society for Heat Treatment
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    • v.32 no.3
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    • pp.107-112
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    • 2019
  • In order to investigate the effect of plastic deformation and annealing process parameters on strength and electrical conductivity of Cu-Fe alloys, Cu-10wt%Fe, Cu-15wt%Fe alloys were drawn up to ${\eta}=4$ and annealed in the temperature range of $300^{\circ}C$ to $700^{\circ}C$, followed by measurements of tensile strength and electric conductivity. As draw strain increases, tensile strength increases while electrical conductivity decreases. These observations result from reduction of dislocation density and decrease in Fe fiber spacing. Raising annealing temperature brought about decrease of tensile strength and increase of electrical conductivity up to $500^{\circ}C$, being followed by decreasing above $500^{\circ}C$. Such results are thought to be caused by decrease of dislocation density below $500^{\circ}C$ and rapid solubility increase of Fe in Cu above $500^{\circ}C$. For the purpose of obtaining both high strength and high conductivity, annealing process should be incorporated just prior to reaching to final draw strain. For Cu-10wt%Fe alloy, the tensile strength 706.9 MPa and the electrical conductivity 54.34%IACS were obtained through the processes of drawing up to ${\eta}=3$, annealing at $500^{\circ}C$ for 1 hour and additional drawing up to total strain of ${\eta}=4$.

Development of Standards for the Use of Liquefied Hydrogen for Ship Using Risk Assessment Techniques (위험성 평가기법을 활용한 선박용 액화수소 사용시설 기준개발)

  • Young-taeg, Hur;Hye-Soo, Han;Gyoung-min, Noh;Hee-soo, Chung;Chung-keun, Chae
    • Journal of the Korean Institute of Gas
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    • v.26 no.6
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    • pp.52-58
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    • 2022
  • According to the government's roadmap for revitalizing the hydrogen economy, various industries carry out projects using liquefied hydrogen as an energy source. However, safety standards necessary for operational demonstration projects are not prepared in Korea, thus, it is necessary to prepare safety standards as soon as possible. Therefore, in order to secure the safety of liquefied hydrogen instrumentation and handling facilities, it is necessary to prepare safety standards that comprehensively consider the risk of liquefied hydrogen. This study aims to prioritize safety standard items using ETA, FMEA, and AHP, which are risk assessment techniques, to present the feasibility of selecting safety standard items.

WIJSMAN ASYMPTOTICAL ${\mathcal{I}}_2$-LACUNARY STATISTICAL EQUIVALENCE OF ORDER 𝜂 FOR DOUBLE SET SEQUENCES

  • GULLE, ESRA;ULUSU, UGUR
    • Journal of applied mathematics & informatics
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    • v.40 no.1_2
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    • pp.215-231
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    • 2022
  • In this paper, for double set sequences, as a new approach to the notion of Wijsman asymptotical lacunary statistical equivalence of order 𝜂, we introduce new concepts which are called Wijsman asymptotical ${\mathcal{I}}_2$-lacunary statistical equivalence of order 𝜂 and Wijsman asymptotical strong ${\mathcal{I}}_2$-lacunary equivalence of order 𝜂 where 0 < 𝜂 ≤ 1. Also, some properties of these new concepts are investigated, and the existence of some relations between these and some previously studied asymptotical equivalence concepts for double set sequences is examined.

Site-directed Mutagenesis of Tyrosine 108 Residue in Human Glutathione S-Transferase P1-1

  • Ahn, So-Youn;Jeon, Sang-Hoon;Park, Hee-Joong;Kong, Kwang-Hoon
    • Bulletin of the Korean Chemical Society
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    • v.24 no.8
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    • pp.1188-1192
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    • 2003
  • In order to study the role of residue in the active site of glutathione S-transferase (GST), Tyr 108 residue in human GST P1-1 was replaced with alanine, phenylalanine and tryptophan by site-directed mutagenesis to obtain mutants Y108A, Y108F and Y108W. These three mutant enzymes were expressed in Escherichia coli and purified to electrophoretic homogeneity by affinity chromatography on immobilized GSH. The substitutions of Tyr108 significantly affected $K_m^{CDNB}$ and $K_m^{ETA}$, whereas scarcely affected $K_m^{GSH}$. The substitutions of Tyr108 also significantly affected $I_{50}$ of ETA, an electrophilic substrate-like compound. The effect of these substitutions on kinetic parameters and the response to inhibition suggests that tyrosine 108 in hGST P1-1 contributes to the binding of the electrophilic substrate and a major determinant in the binding of CDNB is the aromatic ring of Tyr108, not its hydroxyl group.

Thermal diffusion behaviors of electrogalvanized steel sheets (전기아연도금강판의 열확산 거동)

  • 김영근
    • Journal of the Korean institute of surface engineering
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    • v.28 no.5
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    • pp.320-328
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    • 1995
  • The electroplated steel sheets were heated during the short periods(10~60 seconds) at high temperature ($360^{\circ}C$$500^{\circ}C$) in order to investigate thermal diffusion behaviors. When the steel sheets were heated for 10 seconds, all the coated layers were alloyed at $420^{\circ}C$ but at temperature lower than $400^{\circ}C$ the $\eta$ phase partially remained on the coated surface. At higher temperature, the longer the time for heat treatment the iron contents were increased in coated layer but the glossiness and whiteness of the coated surface were decreased. While the alloying phases of $\eta$, $\zeta$, $\delta_1$ and $\Gamma$ were appeared in the coated layer at the heat treatment temperature of $360^{\circ}C$, the phase was disappeared at $420^{\circ}C$ but the rests grew in size at the temperature of $440^{\circ}C$. When the heat treatment temperature and heating time were increased, the thickness of $\Gamma$ phase was rapidly increased to 0.8 $\mu\textrm{m}$. The optimum conditions for the heat treatment to prevent powdering of coated layer were obtained to heat it for 30 seconds at $400^{\circ}C$ and 10 seconds at $440^{\circ}C$, and the iron content in coated layer was suited to be 10 percents.

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Effect of Wickability on Low Temperature Dyeing of Wool (염액의 wicking성이 양모의 저온 염색에 미치는 영향)

  • Dho, Seong-Kook
    • Fashion & Textile Research Journal
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    • v.9 no.1
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    • pp.113-118
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    • 2007
  • It is well recognized that the wicking of liquids in a textile fabric takes place mainly through a capillary system composed of the individual fibers. Considering typical dyeing stages, it is thought that a high dye uptake on the fabric probably depends on the wickability. Three kinds of barely water soluble ketones, acetophenone(A), 2-pentanone(2P) and 3-pentanone(3P) were separately dissolved in methanol(M) and then each was mixed with aqueous solution of C. I. Red Acid 114. Wicking heights of dyeing solutions were measured under such conditions that the effect of gravity was negligible. The result could be graphed as a series of straight lines having the form s = $kt^{1/2}$, where s was distance traveled by the solutions, t was time, and k was slope of the line. The surface tension(${\gamma}$) of the ketones had more signifcant effect on the wickability compared to the viscosity(${\eta}$) of them. The greater wickability resulted in the higher dye uptake on the fabric and the order of wickabilty was equal to that of the surface tension(${\gamma}$) and dye uptake on the fabric, A>3P>2P>M.

The Shape of Polymers Resulted Condensation in the Mixed Si(OC_2H_5)_4 and Zr(O-nC_3H_7)_4$4 Solutions (Si(OC_2H_5)_4와 Zr(O-nC_3H_7)_4$ 혼합용액의 중합반응에 따른 고분자의 형상)

  • 신대용;한상목
    • Journal of the Korean Ceramic Society
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    • v.31 no.2
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    • pp.220-226
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    • 1994
  • The hydrolysis and condensation reactions in the mixed alkoxide solutions of Si(OC2H5)4 and Zr(O-nC3H7)4 with various water contents (1, 2, 4, and 8 in molar ratio to alkoxide, r) and catalysts were examined by rheological measurements and the number average molecular weight in order to explain the shape of the polymer in the mixed alkoxide solutions. It was found that fibers could be drawn in the viscosity range of 1∼100P from the acid-catalyzed solutions with lower water contents of the mole ratio H2O/alkoxide, r 2. On the other hand, crack free bulk gel was formed from the acid-catalyzed solutions including a large amount of water (r 4), and the base-catalyzed solutions. The relation between the intrinsic viscosity [{{{{ eta }}] and the number average molecular weight n, namely [{{{{ eta }}]=Knα, has shown that the acid-catalyzed spinnable solutions (r=1 and 2) have linear polymers and the exponent α's are about 0.56 and 0.81, whereas non-spinnable solutions (r=4 and 8) have three dimensional network polymers or spherical particles and the exponent α's are 0.41∼0.51 and 0.35.

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Effects of α2/β Volume Fraction on the Superplastic Deformation (2 상 Ti3Al-xNb 계 금속간 화합물들의 초소성 특성에 미치는 상분율의 영향)

  • 김지식
    • Transactions of Materials Processing
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    • v.11 no.5
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    • pp.447-456
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    • 2002
  • A study has been made to investigate the boundary sliding and its accommodation mode with respect to the variation of $\alpha$$_2$/$eta$ volume fraction during superplastic deformation of two-phase Ti$_3$Al-xNb intermetallics. Step strain rate and load relaxation tests have been performed at 950, 970 and 99$0^{\circ}C$ to obtain the flow stress curves and to analyze the deformation characteristics by the theory of inelastic deformation. The results show that the grain matrix deformation and boundary sliding of the three intermetallics containing 21, 50 and 77% in $eta$ volume fractions are well described by the plastic deformation and viscous flow equations. Due to the equal accommodation of both $a^2$ and $\beta$ phases, the accommodation modes for fine-grained materials are in good agreement with the iso-strain rate models. The sliding resistance analyzed for the different boundaries is the lowest in the $\alpha$$_2$/$\alpha$$_2$ boundary, and increases in the order of $\alpha$$_2$/$\alpha$$_2$<< $\alpha$$_2$/$\beta$ = $\beta$/$\beta$, which plays an important role in controlling the superplasticity of the alloys with the various $\alpha$$_2$/$\beta$ phase ratio.