• Title/Summary/Keyword: Rate Law

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Kinetics and Mechanism of Triethylamine Catalysed Michael Addition of Benzenethiol to 1-(2-Nitrovinyl)benzene in Acetonitrile

  • Sarathi, P.A.;Gnanasekaran, C.;Shunmugasundaram, A.
    • Bulletin of the Korean Chemical Society
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    • v.29 no.4
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    • pp.790-794
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    • 2008
  • Nucleophilic addition reaction of benzenethiols (PhSH) to 1-(2-nitrovinyl) benzenes ($\beta$ NS) in the presence of triethylamine (TEA) has been studied in acetonitrile at 25 ${^{\circ}C}$. The rate is first order with respect to [PhSH], [TEA] and [$\beta$ NS]. The reaction is found to proceed with the formation of ion-pair between benzenethiol and TEA. A suitable mechanism with the formation of an adduct between ion-pair and substrate in a slow step followed by its rearrangement to 1,2-addition product in a fast step has been proposed and corresponding rate law derived. From the rate law, the rate constants for the interaction between ion-pair and $\beta$NS have been evaluated. Interestingly, in both para-substituted substrates and benzenethiols the rate increases with the electron-withdrawing power of the substituents. The positive sign of $\rho_x$ in benzenethiols has been explained. The magnitude of cross-interaction constant, $\rho_{xy}$ is small (0.08). The magnitude of the Hammett $\rho_x$ values is higher than that of the Bronsted, $\beta_x$ values for benzenethiols. The kinetic isotope effect, $k_H/k_D$, is found to be greater than unity. A suitable transition state with simultaneous formation of $C_\beta$ -H and $B_\alpha$ -S bonds involving the ion-pair and $\beta$NS in a single concerted step has been proposed to account for these observations.

A Comparison of Income Level and Work-Related Fatalities for Finding Causes and Measures for Construction Sector (소득수준 대비 산재사망지수 비교를 통한 건설분야 산업재해 분석 및 저감대책)

  • Yi, Kyoo-Jin
    • Korean Journal of Construction Engineering and Management
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    • v.15 no.4
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    • pp.3-10
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    • 2014
  • As the income level of a country gets improved, people's social, economic, and cultural expectation will grow at the same time. Although the income level of Korea has been remarkably improved, her work-related fatality rate is the highest among OECD countries. Moreover, the rate hasn't been reduced for more than 10 years. This study aims to provide appropriate measures for work-related fatality reduction by comparing the income levels and the work-related fatality rates of countries and by analysing the problems of our worker-oriented accident prevention policy. For the comparison of income level and work-related fatalities, this study suggests income-level incorporated fatality rate, and it turned out that the rate of Korea is the highest among the countries. In order to find out the causes of that result, this study has found that our law enforcement is much weaker than that of UK, which implicates more strict law enforcement policy is needed to improve our work-related safety.

COMPLETE CONVERGENCE FOR ARRAYS OF ROWWISE INDEPENDENT RANDOM VARIABLES

  • Hu, Tien-Chung;Sung, Soo-Hak;Volodin, Andrei
    • Communications of the Korean Mathematical Society
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    • v.18 no.2
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    • pp.375-383
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    • 2003
  • Under some conditions on an array of rowwise independent random variables, Hu et at. (1998) obtained a complete convergence result for law of large numbers with rate {a$\_$n/, n $\geq$ 1} which is bounded away from zero. We investigate the general situation for rate {a$\_$n/, n $\geq$ 1) under similar conditions.

Model Reference Adaptive Control for Linear System with Improved Convergence Rate-parameter Adaptation Method (선형시스템을 위한 개선된 수렴속도를 갖는 기준모델 적응제어)

  • Lim, Kye-Young
    • The Transactions of the Korean Institute of Electrical Engineers
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    • v.37 no.12
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    • pp.884-893
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    • 1988
  • Adaptive controllers for linear unknown coefficient system, that is corrupted by disturbance, are designed by parameter adaptation model reference adaptive control(MRAC). This design is stemmed from the Lyapunov direct method. To reduce the model following error and to improve the convergence rate of the design, an indirect-suboptimal control law is derived. Proper compensation for the effects of time-varying coefficients and plant disturbance are suggested. In the design procedure no complete identification of unknown coefficients are required.

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LFC Considering the Changing Rate of Governor Speed (조속기 입력의 변화율을 고려한 최적주파수 제어)

  • 박영문;유찬수
    • The Transactions of the Korean Institute of Electrical Engineers
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    • v.33 no.3
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    • pp.100-105
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    • 1984
  • The optimal Load-Frequency Control law is presented with the performance criterion which includes the changing rate of governor speed. The authors propose two controllers. One is a dynamic controller using the method of state augmentation and the other is a constant gain controller with use of the trace function lemma by Kleinman. For a more practical realization, a reduced-order Luenberger observer is applied in order to identify unmeasurable states and power demand. The control schemees presented here are tested through the model developed by Elgerd, and the usefulness is demonstrated.

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- Building The Safety Management System of The Dryness Equipment - (건조설비 작업개선을 위한 안전관리 시스템 구축)

  • Kim Byung Suk
    • Journal of the Korea Safety Management & Science
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    • v.6 no.3
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    • pp.15-26
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    • 2004
  • There is much dangerous machine in worksite. These make the rate of accidents increase. Specially, among them, dryness equipment work has the highest rate of accidents. Therefore, it has been managed by safety-health law. It is very important to make a special study of work using the dangerous machine. In press work, it is also important to develop safety system program to improve productivity and work safely In this reaserch. the safety mangement system is built for the work improvement of the Press. I will try new development method about dangerous machine.

- Building The Safety Management System of The Press Machine - (프레스 작업의 위험분석 몇 작업안전관리 체계연구)

  • Kim Byung Suk
    • Journal of the Korea Safety Management & Science
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    • v.6 no.3
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    • pp.27-40
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    • 2004
  • There are much dangerous machine in worksite. These make the rate of accidents increase. Specially, among them, the Press work has the highest rate of accidents. Therefore, it has been managed by Industrial safety-health law. It is very important to make a special study of work using the dangerous machine. In press work, it is also important to develop safety system program to improve productivity and work safely, In this reaserch, the safety management system is built for the work improvement of the Press. This paper showed method about dangerous machine.

Model Reference Adaptive Control for Linear System with Improved Convergence Rate -SIGNAL SYNTHESIS METHOD- (선형시스템을 위한 개선된수렴속도를 갖는 기준모델 적응제어기- SYNTHESIS METHOD)

  • Lim, Kye-Young
    • The Transactions of the Korean Institute of Electrical Engineers
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    • v.37 no.10
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    • pp.733-739
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    • 1988
  • Adaptive controllers for linear system whose nominal values of coefficients only are known, that is corrupted by disturbance, are designed by signal synthesis model reference adaptive control (MRAC). This design is stemmed from the Lyapunov direct method. To reduce the model following error and to improve the conrergence rate of the design, an indirect suboptimal control law is de rived using the Hamilton Jacobi Beellman equation. Proper compensaton for the effects of time varying coefficients and plant disturbance are suggested. In the design procedure no complete identification of unknown coefficients are required.

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Transient dynamic analysis of impact damage behavior for concrete (콘크리트의 순간동역학적 충돌손상 거동해석)

  • Park, Tae-Hyo;Noh, Myung-Hyun
    • Proceedings of the Korea Concrete Institute Conference
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    • 2006.11a
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    • pp.857-860
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    • 2006
  • In the present study, the method and procedure for analysis of impact damage behavior for concrete under penetration and perforation of projectile is investigated. Conservation law, equation of motion, initial and boundary conditions, and FEM formulation are introduced and derived respectively. Specially, the constitutive equation which rate-dependent damage combined with rate-dependent plasticity within the appropriate framework of theory of thermodynamics is examined. This paper aimed at the review with respect to impact damage models for concrete to develop that model. This paper is a basis research for the development of impact damage model for concrete.

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The Oxidation of Hydrazobenzene by Oxygen Catalysed by Co (3MeOsalen) in Methanol

  • Homer Roger B.;Cannon Roderick D.;Kim Stephen S.B.
    • Bulletin of the Korean Chemical Society
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    • v.6 no.2
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    • pp.115-118
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    • 1985
  • The oxidation of hydrazobenzene by oxygen in methanol solution is catalysed by Co(3MeOsalen) which is a synthetic oxygen carrier. The products are trans-azobenzene and water. The rate of the reaction has been studied spectrophotometrically and the rate law established. A mechanism involving a ternary complex of catalyst, hydrazobenzene and oxygen has been proposed.