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Noether-type theory for discrete mechanico-electrical dynamical systems with nonregular lattices

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science China(Physics,Mechanics & Astronomy) 2010年第9期53卷 1687-1698页

作者： FU JingLi1,CHEN LiQun2 & CHEN BenYong3 1 Institute of Mathematical Physics,Zhejiang sci-Tech University,Hangzhou 310018,China 2 Department of Mechanics,Shanghai University,Shanghai 200072,China 3.faculty of Mechanical-Engineering & Automation,Zhejiang sci-Tech University,Hangzhou 310018,China 1. Institute of Mathematical Physics Zhejiang Sci-Tech University Hangzhou 310018 China2. Department of Mechanics Shanghai University Shanghai 200072 China3. Faculty of Mechanical-Engineering & Automation Zhejiang Sci-Tech University Hangzhou 310018 China

We investigate Noether symmetries and conservation laws of the discrete mechanico-electrical systems with nonregular *** operators of discrete transformation and discrete differentiation to the right and left are introduced for the *** on the invariance of discrete Hamilton action on nonregular lattices of the systems with the dissipation forces under the infinitesimal transformations with respect to the time,generalized coordinates and generalized charge quantities,we work out the discrete analog of the generalized variational *** this formula we derive the discrete analog of generalized Noether-type identity,and then we present the generalized quasi-extremal equations and properties of these equations for the *** also obtain the discrete analog of Noether-type conserved laws and the discrete analog of generalized Noether theorems for the *** we use an example to illustrate these results.

关键词： Noether symmetry variational formula quasi-extremal equation conservation law discrete mechanico-electrical dynamical system

Symmetries and exact solutions of discrete nonconservative systems

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science China(Physics,Mechanics & Astronomy) 2010年第9期53卷 1699-1706页

作者： FU JingLi1,LI XiaoWei2,LI ChaoRong1,ZHAO WeiJia3 & CHEN BenYong4 1 Institute of Mathematical Physics,Zhejiang sci-Tech University,Hangzhou 310018,China 2 Department of Physics,Shangqiu Normal University,Shangqiu 476000,China 3 Department of Mathematics,Qingdao University,Qingdao 266071,China 4 faculty of Mechanical Engineering & Automation,Zhejiang sci-Tech University,Hangzhou 310018,China 1. Institute of Mathematical Physics Zhejiang Sci-Tech University Hangzhou 310018 China2. Department of Physics Shangqiu Normal University Shangqiu 476000 China3. Department of Mathematics Qingdao University Qingdao 266071 China4. Faculty of Mechanical Engineering & Automation Zhejiang Sci-Tech University Hangzhou 310018 China

Based on the property of the discrete model entirely inheriting the symmetry of the continuous system,we present a method to construct exact solutions with continuous groups of transformations in discrete nonconservative *** Noether's identity of the discrete nonconservative system is *** symmetric discrete Lagrangian and symmetric discrete nonconservative forces are defined for the *** quasi-extremal equations of discrete nonconservative systems are *** conserved quantities are derived with symmetries associated with the continuous *** have also found that the existence of the one-parameter symmetry group provides a reduction to a conserved quantity;but the existence of a two-parameter symmetry group makes it possible to obtain an exact solution for a discrete nonconservative *** examples are discussed to illustrate these results.

关键词： discrete nonconservative system symmetry conserved quantity quasi-extremal equation exact solution

Spin Trapping of the Phosphorus-centered Radicals Generated from Hydrogen Abstraction Reaction by 2,2-Diphenyl-1-picrylhydrazyl

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Chemical Research in Chinese Universities 2000年第4期16卷 313-319页

作者： Yoshimi Sueishi and Yuko Nishihara (Department of Chemistry, faculty of science, Okayama University, 3-1-1 Tsushima Naka, Okayama 700-8530, Japan) Okayama Univ Fac Sci Dept Chem Okayama 7008530 Japan

Two kinds of the phosphorus-centered radicals produced from hydrogen atomion by 2, 2-diphenyl-1-picrylhydrazyl(DPPH were trapped by N-tert-butyl-α-phenylnitrone(PBN) and 5, 5-dimethyl-1-pyrroline N-oxide (DMPO), and investigated by means of EPR spectroscopy. The spin adducts with a characteristic hyperfine coupling constant(hfcc) caused by a phosphorus atom were observed. Based on the hfcc values caused by the phosphorus and hydrogen atoms, the con formational positions of the adducts trapped by PBN and DMPO are discussed.

关键词： EPR Spin trap Phosphorus-centered radical

Study on catalytic oxidation of planar binuclear copper phthalocyanine on 2-mercaptoethanol

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science China Chemistry 2006年第6期49卷 522-526页

作者： CHEN Wenxing, WEI Lili, WANG Jinqian, YAO Yuyuan, Lü Shenshui & CHEN Shiliang Key Laboratory of Advanced textile Materials and Manufacturing Technology, Ministry of Education, Zhejiang sci-Tech Univer- sity, Hangzhou 310018, China 1. Key Laboratory of Advanced textile Materials and Manufacturing Technology Ministry of Education Zhejiang Sci-Tech University Hangzhou 310018 China

Mononuclear copper phthalocyanine (CuPc) and binuclear copper phthalocyanine (Cu2Pc2) were synthesized by the phenylanhydride-urea route, and their catalytic oxidation activity on 2-mercaptoethanol was studied. Based on the experimental results, a catalytic mechanism of Cu2Pc2 on 2-mercaptoethanol has been proposed. Furthermore, the effects of pH, Cu2Pc2 concentration, and temperature on the catalytic oxidation activity were evaluated. The results showed that CuPc has no catalytic activity, while Cu2Pc2 has high catalytic oxidation activity towards 2-mercaptoethanol with the optimal activity at pH 11. The reaction can further be enhanced by increasing Cu2Pc2 concentration and temperature, due to its endothermic characteristics.

关键词： binuclear copper phthalocyanine catalytic oxidation 2-mercaptoethanol.

THE　HENSTOCK　INTEGRAL　FOR　FUNCTIONS　WITH　VALUES　IN　NUCLEAR　SPACES　AND　THE　HENSTOCK　LEMMA

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Journal of Mathematical Study 1994年第1期 133-141页

作者： Nakanishi Shizu(faculty of Hum and sci, Kobe-Gakuin UnivNishi-ku, Kobe, 651-21, Japan)

ＴＨＥＨＥＮＳＴＯＣＫＩＮＴＥＧＲＡＬＦＯＲＦＵＮＣＴＩＯＮＳＷＩＴＨＶＡＬＵＥＳＩＮＮＵＣＬＥＡＲＳＰＡＣＥＳＡＮＤＴＨＥＨＥＮＳＴＯＣＫＬＥＭＭＡ￥ＮａｋａｎｉｓｈｉＳｈｉｚｕ（ＦａｃｕｌｔｙｏｆＨｕｍａｎｄＳｃ... 详细信息

ＴＨＥＨＥＮＳＴＯＣＫＩＮＴＥＧＲＡＬＦＯＲＦＵＮＣＴＩＯＮＳＷＩＴＨＶＡＬＵＥＳＩＮＮＵＣＬＥＡＲＳＰＡＣＥＳＡＮＤＴＨＥＨＥＮＳＴＯＣＫＬＥＭＭＡ￥ＮａｋａｎｉｓｈｉＳｈｉｚｕ（ＦａｃｕｌｔｙｏｆＨｕｍａｎｄＳｃｉ，Ｋｏｂｅ－ＧａｋｕｉｎＵｎｉｖ...

关键词： Henstock integral Nuclear space Countably Hilbert space Henstock’s Lemma

Some Physical Properties of CuTlSe Alloy

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Journal of Materials science & Technology 2001年第2期17卷 229-232页

作者： A.Abdel All Physics Department, faculty of science , Helwan University, Cairo, Egypt K.A.Sharaf Physics Department, faculty of science, Al-Azhar University for Girls, Cairo, Egypt A.Elshafie Physics Department, faculty of science, Menoufia University, She Helwan Univ Fac Sci Dept Phys Cairo Egypt Al Azhar Univ Girls Dept Phys Fac Sci Cairo Egypt Menoufia Univ Fac Sci Dept Phys Shibin Al Kawm Egypt

The structure and optical properties of Cu0.1Tl2Se3 alloy was studied. X-ray analysis showed that the polycrystalline powder consists of a mixture of two phases Cu3jTlSe2 (monoclinic) and TISe (tetragonal). Chalcopyrite phase CuTISe2 can be obtained by annealing the powder at 250'C for 1 h. Thin film with a monoclinic phase of Cu3TlSe2 was obtained for the thick film (0.7 um). The optical parameters a, n, k, e' and e' and the energy gap were calculated. The thermoelectric power measurements showed that S has a positive polarity over the whole range of temperature.

关键词： Cu Some Physical Properties of CuTlSe Alloy

Two Classes of Models of Granular Computing

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Two Classes of Models of Granular Computing

OBSERVATIONS ON DEFORMATION BEHAVIOR OF HIGH PERFORMANCE FIBERS BY POLARIZING OPTICAL MICROSCOPY

Rough集前景——粒计算理论国际论坛（2006）

作者： Daowu Pei (faculty of science Zhejiang sci-Tech University Hangzhou 310018 China)

＜正＞This paper reviews a class of important models of granular computing which are induced by equivalence relations, or by general binary relations, or by neighborhood systems, and propose a class of models of granu... 详细信息

关键词： granular computing granule rough set theory, relation based model covering based model

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Chinese Journal of Polymer science 2000年第1期18卷 81-86页

作者： Chang-fa Xiao Yu-feng Zhang Department of Materials science, Tianjin Institute of textile science and Technology, Tianjin 300160, China Tianjin Inst Text sci & Technol Dept Mat Sci Tianjin 300160 Peoples R China

By means of polarizing optical microscopy (POM), deformation behavior of four kinds of fibers, i.e, ultra high molecular weight polyethylene (UHMW-PE) fiber, polyvinyl alcohol (PVA) fiber, polyethylene terephthalate (PET) fiber, and wholly aromatic (rho-hydroxybenzoic acid/2-hydroxy-6-naphthoic acid) copolyester [P(HBA/HNA)]/PET (ACPET blend) fiber, in axial compression, axial impacting, and bending was observed. In compression, kink bands formed at an angle of 55-60 degrees ro the fiber axis in 10-times-drawn UHMW-PE fiber, 75-80 degrees in 40-times-drawn sample, 80 degrees in PVA fiber, and 90 degrees in the ACPET blend fiber. In impacting and bending, band angles of UHMW-PE, PVA and PET fibers are nearly the same as those formed in compression, indicating that slip systems do not change. For any of the four kinds of fiber, band spacing exhibits great differences in compression, in impacting, and in bending, which may be attributed to the differences in the degrees of strain or stress concentration.

关键词： high performance fiber axial compression axial impacting bending

Crossover Design——The Reuse and Redesign of Waste Jeans from the Perspective of Art

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Crossover Design——The Reuse and Redesign of Waste Jeans fr...