• Title/Summary/Keyword: C2 Theory

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Some results on metric fixed point theory and open problems

  • Kim, Tae-Hwa;Park, Kyung-Mee
    • Communications of the Korean Mathematical Society
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    • v.11 no.3
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    • pp.725-742
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    • 1996
  • In this paper we give some sharp expressions of the weakly convergent sequence coefficient WCS(X) of a Banach space X. They are used to prove fixed point theorems for involution mappings T from a weakly compact convex subset C of a Banach space X with WCS(X) > 1 into itself which $T^2$ are both of asymptotically nonexpansive type and weakly asymptotically regular on C. We also show that if X satisfies the semi-Opial property, then every nonexpansive mapping $T : C \to C$ has a fixed point. Further, some questions for asymtotically nonexpansive mappings are raised.

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Phase transformer method and its application (위상변성방식과 그 응용)

  • 오상세
    • 전기의세계
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    • v.13 no.2
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    • pp.1-4
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    • 1964
  • Phase transformation is used to change some phase from phase in A.C. system. We have been used Scott or Fork connection in phase transformation the otherwise phase transformation was constructed from M-G set. From this M-G set, we could make phase shift facilities by mannual. Now, I can derive more easy phase transformation from taking another method. I believe this new phase transformation method in the first thing in the world. And so, I am going to explain about phase transformer construction process. The first, we could devide into equal part of core around the iron core as to be same size. The second, you will make primary and secondary winding on the core. The third, when you will supplied three phase A.C. at the terminal of primary winding you can get e.m.f. inducing of some phase at secondary. And so, we could make phase change from some phase A.C. We can apply this principle in many fields, i.e., freequency changer, phase leader of no use condenser, voltage regulator in keeping balance, and D.C. generator. And more, I will introduce in details concerning main pinciple and theory through following chapter.

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Quantum-chemical Investigation of Substituted s-Tetrazine Derivatives as Energetic Materials

  • Ghule, Vikas D.;Sarangapani, Radhakrishnan;Jadhav, Pandurang. M.;Tewari, Surya. P.
    • Bulletin of the Korean Chemical Society
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    • v.33 no.2
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    • pp.564-570
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    • 2012
  • s-Tetrazine is the essential candidate of many energetic compounds due to its high nitrogen content, enthalpy of formation and thermal stability. The present study explores the design of s-tetrazine derivatives in which different $-NO_2$, $-NH_2$ and $-N_3$ substituted azoles are attached to the tetrazine ring via C-N linkage. The density functional theory (DFT) is used to predict the geometries, heats of formation (HOFs) and other energetic properties. The predicted results show that azide group plays a very important role in increasing HOF values of the s-tetrazine derivatives. The densities for designed molecules were predicted by using the crystal packing calculations. The introduction of $-NO_2$ group improves the density as compared to $-N_3$, and $-NH_2$ groups and hence the detonation performance. Bond dissociation energy analysis and insensitivity correlations revealed that amino derivatives are better candidates considering insensitivity and stability.

Analysis and comparison of the 2D/1D and quasi-3D methods with the direct transport code SHARK

  • Zhao, Chen;Peng, Xingjie;Zhang, Hongbo;Zhao, Wenbo;Li, Qing;Chen, Zhang
    • Nuclear Engineering and Technology
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    • v.54 no.1
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    • pp.19-29
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    • 2022
  • The 2D/1D method has become the mainstream of the direct transport calculation considering the balance of accuracy and efficiency. However, the 2D/1D method still suffers from stability issues. Recently, a quasi-3D method has been proposed with axial Legendre expansion. Analysis and comparison of the 2D/1D and quasi-3D method is conducted in theory from the equation derivation. Besides, the C5G7 benchmark, the KUCA benchmark and the macro BEAVRS benchmark are calculated to verify the theory comparisons of these two methods with the direct transport code SHARK. All results show that the quasi-3D method has better stability and accuracy than the 2D/1D method with worse efficiency and memory cost. It provides a new option for direct transport calculation with the quasi-3D method.

A study on the anti-freezing of light weight electric traction system testing road (경량전철 시스템 선로 결빙방지에 관한 연구)

  • Woo, Jae-Ho;Han, Kyu-Il;Kim, Jong-Soo
    • Proceedings of the KSME Conference
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    • 2008.11b
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    • pp.2256-2261
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    • 2008
  • The electric snow melting and deicing system by electric heating cable which is adopted in this study is a part of road facilities to keep surface temperature of the road higher than freezing point of water for melting the snow or ice accumulated on it. The electric heating cables are buried under paved road at a certain depth and a certain pitch and operated automatically and manually. Design theory, amount of heating, and installation standard vary according to economic situation, weather condition, and installation place. A main purpose of this study is figuring out the appropriate range of required heat capacity and installation depth and pitches for solving snowdrifts and freezing problems with minimum electric power consumption. This study was performed under the ambient air temperature($-2^{\circ}C$, $-5^{\circ}C$), the pitches of the electric heating cables (200 mm, 300 mm), heating value ($250\;W/m^2$, $300\;W/m^2$, $350\;W/m^2$).

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Experimental Study on Consolidation Characteristics of Soft Marine Deposit by Piezocone Dissipation Test (피에조콘 소산시험을 통한 해성연악지반의 압밀특성에 대한 실험적 연구)

  • 박찬국;송정락;김수일
    • Journal of the Korean Geotechnical Society
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    • v.18 no.2
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    • pp.137-146
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    • 2002
  • Field piezocone dissipation tests are performed, and the results are compared to the Rowe cell consolidation tests results to investigate the consolidation characteristics of soft marine deposit at the same location in Korea. From these results, statistical formula fur the relation between the coefficients of horizontal consolidation$(c_r)$ from Rowe cell consolidation tests and $t_{50}$ from pore pressure dissipation tests by Piezocone is suggested through the regression analysis. The results are also compared to the existing theoretical formula. It is also shown that suggested formula is similar to Torstensson's(1977) formula based on cylindrical cavity expansion theory and Houlsby and Teh's(1988) formula based on strain path method.

Modeling and Vibration Control of ERF-Based Intelligent Structures via Sandwich Beam Theory (샌드위치 보 이론을 이용한 ERF 지능구조물의 모델링 및 진동제어)

  • Park, Y.K.;Choi, S.B.;Cheong, C.C.
    • Journal of the Korean Society for Precision Engineering
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    • v.13 no.2
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    • pp.110-122
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    • 1996
  • 본 논문에서는 전기유동유체(Electro-Rheological Fluid : ERF)를 함유하는 지능구조물의 동적 모델링 및 진동제어를 수행하였다. 먼저 실리콘 오일을 기본용매로 하여 조성된 ERF의 복소 전단모듈러스를 전장부하와 가진 주파수의 함수로 동적 회전모드 실험을 통하여 도출한 후, 이를 샌드위치 보 이론과 연계하여 동적 모델링을 실시하였다. 도출된 6차 편미분방정식 형태의 지배 방정식을 유한요소 모델로 이산화하여 전장부하에 따른 지능구조물의 동탄성 특성값인 감쇠 고유 주파수 및 모달 손실계수를 주파수 영역에서 얻었다. 그리고 ERF를 함유한 샌드위치 형태의 지능구조물을 제작한 후 실험적으로 얻은 동탄성 특성값과 모델에 의해 예측된 동탄성 특성값을 비교 고찰하여 제시된 동적 모델에 대한 타당성을 입증하였다. 또한 모델을 통해 전장부하 함수로 예측된 주파수 응답곡선 중에서 각 주파수 대역에 대해 최소 변위가 되는 응답곡선을 요구응답으로 설정한 후, 그에 해당하는 전장부하를 선정하는 논리적인 능동 진동제어 알고리즘을 제안하였다. 제어알고리즘의 유용성을 입증하기 위해 실험적으로 수행된 능동 진동제어 결과를 주파수영역과 시간영역에서 제시하였다.

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Implementation of the Adaptive-Neuro Controller of Industrial Robot Using DSP(TMS320C50) Chip (DSP(TMS320C50) 칩을 사용한 산업용 로봇의 적응-신경제어기의 실현)

  • 김용태;정동연;한성현
    • Transactions of the Korean Society of Machine Tool Engineers
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    • v.10 no.2
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    • pp.38-47
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    • 2001
  • In this paper, a new scheme of adaptive-neuro control system is presented to implement real-time control of robot manipulator using Digital Signal Processors. Digital signal processors, DSPs, are micro-processors that are particularly developed for fast numerical computations involving sums and products of measured variables, thus it can be programmed and executed through DSPs. In addition, DSPs are as fast in computation as most 32-bit micro-processors and yet at a fraction of therir prices. These features make DSPs a viable computational tool in digital implementation of sophisticated controllers. Unlike the well-established theory for the adaptive control of linear systems, there exists relatively little general theory for the adaptive control of nonlinear systems. Adaptive control technique is essential for providing a stable and robust perfor-mance for application of robot control. The proposed neuro control algorithm is one of learning a model based error back-propagation scheme using Lyapunov stability analysis method.The proposed adaptive-neuro control scheme is illustrated to be a efficient control scheme for the implementation of real-time control of robot system by the simulation and experi-ment.

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A Constitutive Model for Normally Consolidated Clays (정규압밀점토의 응력 -변형률 구성 방정식)

  • 이영휘
    • Geotechnical Engineering
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    • v.8 no.2
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    • pp.71-80
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    • 1992
  • A new constitutive model is proposed for normally consolidated clays. A main skeleton of the proposed model is based on the concepts of the incremental stress-strain theory by Roscoe and Poorooshasb. The equation of the undrained stress path is formulated by introducing the new pore pressure parameter(C), which is the slope of the linear line in the plot of the normalized pore pressure against the stress ratio. Once the stress increment along the constant stress ratio path (followed by untrained stress path) is know, the volumetric strains are calculated from the linear characteristics between void ratio and logarithm of the mean normal stress for any stress ratio. Then the incremental shear strains are successfully predicted by applying the flow rule derived in the modified theory by Roscoe and Burland.

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Computational Study of Energetic Salts Based on the Combination of Nitrogen-rich Heterocycles (질소가 풍부한 헤테로 고리화합물에 기초한 에너지 염의 고에너지 물질 성능에 대한 이론 연구)

  • Woo, Je-Hun;Seo, Hyun-Il;Kim, SeungJoon
    • Journal of the Korean Chemical Society
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    • v.66 no.3
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    • pp.185-193
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    • 2022
  • The theoretical investigation has been performed to predict thermodynamic stability, density, detonation velocity, and detonation pressure of energetic salts produced by pairing of nitrogen-rich anions (tetrazine, oxadiazole etc.) and cations (NH3OH+, NH2NH3+, CH9N6+, C2H6N5+). All possible geometries and the binding energy for the trigger bond of energetic salts have been optimized at the B3LYP/cc-pVDZ level of theory. The detonation velocity and detonation pressure have been calculated using Kamlet-Jacobs equation, while enthalpy has been predicted at the G2MP2 level of theory. The predicted results reveal that the energetic salts including small sized NH3OH+(1) and NH2NH3+(2) cations increase detonation property. And also the energetic salts including more amino group (-NH2) such as CH9N6+(3) cation increase thermodynamic stability. These results provide basic information for the development the high energy density materials (HEDMs).