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Interference Patterns of three-fiber Mach-Zehnder Interferometer and its Numerical Simulation

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Chinese Journal of Lasers 1998年第4期B7卷 89-97页

作者： YUAN Libo (department of Physics, har.in engineering university, har.in 150001, china) har.in engineering Univ Harbin China

１ＩｎｔｒｏｄｕｃｔｉｏｎＴｈｅｆｉｂｅｒｏｐｔｉｃＭａｃｈＺｅｈｎｄｅｒｉｎｔｅｒｆｅｒｏｍｅｔｅｒｉｓａｗｅｌｅｓｔａｂｌｉｓｈｅｄａｎｄｗｉｄｅｌｙｕｓｅｄｄｅｖｉｃｅ．Ｔｈｅｅｘｐｅｒｉｍｅｎｔａｌｂａｃｋ... 详细信息

１ＩｎｔｒｏｄｕｃｔｉｏｎＴｈｅｆｉｂｅｒｏｐｔｉｃＭａｃｈＺｅｈｎｄｅｒｉｎｔｅｒｆｅｒｏｍｅｔｅｒｉｓａｗｅｌｅｓｔａｂｌｉｓｈｅｄａｎｄｗｉｄｅｌｙｕｓｅｄｄｅｖｉｃｅ．Ｔｈｅｅｘｐｅｒｉｍｅｎｔａｌｂａｃｋｇｒｏｕｄｏｆｆｉｂｅｒｏｐｔｉｃ...

关键词： optical interfrence fiber Mach Zehnder interferometer interfence pattern

Dynamics Model of Carrier-based Aircraft Landing Gears Landed on Dynamic Deck

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Chinese Journal of Aeronautics 2009年第4期22卷 371-379页

作者： Zhang Wen,Zhang Zhi,Zhu Qidan,Xu Shiyue department of Automation,har.in engineering university,har.in 150001,china [a]department of Automation Harbin Engineering University Harbin 150001 China

In order to study the carrier-based aircraft landing laws landed on the carrier, the dynamics model of carrier-based aircraft landing gears landed on dynamic deck is built. In this model, the interactions of the carrier-based aircraft landing attitude and the damping force acting on landing gears are considered, and the influence of dynamic deck is introduced into the model through the deck normal vectors. The wheel-deck coordinate system is put forward to solve the complex simulation problem of force-onwheel which comes from the dynamic deck. At last, by simulation, it is demonstrated that the model can be applied to landing attitude when the carrier-based aircraft is landing on the dynamic deck, it is also proved that the model is comprehensive and suitable for any abnormal landing situation.

关键词： carrier-based aircraft landing gear deck wheel-deck coordinate system landing

CONVERGENCE PROPERTIES OF A MODIFIED BFGSALGORITHM FOR MINIMIZATION WITharMIJO-GOLDSTEIN STEPLENGTHS

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Journal of Computational Mathematics 1999年第6期17卷 645-652页

作者： Nai-yang Deng Zheng-feng Li(department of Mathematics, Beijing agricultural engineering university, Beijing 100083,china) Beijing Agr Engn Univ Dept Math Beijing 100083 Peoples R China

The line search strategy is crucial for an efficient unconstrained optimization algorithm. One of the reason why the Wolfe line searches is recommended lies in that it ensures positive definiteness of BFGS updates. When gradient information has to be obtained costly, the Armijo-Goldstein line searches may be preferred. To maintain positive difiniteness of BFGS updates based on the Armijo-Goldstein line searches, a slightly modified form of BFGS update is proposed by I.D. Coope and C.J. Price (Journal of Computational Mathematics, 13 (1995), 156-160), while its convergence properties is open up to now. This paper shows that the modified BFGS algorithm is globally and superlinearly convergent based on the Armijo-Goldstein line searches.

关键词： BFGS methods convergence superlinear convergence

Equivalent construction of the infinitesimal time translation operator in algebraic dynamics algorithm for partial differential evolution equation

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Science china(Physics,Mechanics & Astronomy) 2010年第8期53卷 1475-1480页

作者： LIU ChengShi department of Mathematics, northeast Petroleum university, Daqing 163318, china 1. department of Mathematics Northeast Petroleum University Daqing 163318 China

We give an equivalent construction of the infinitesimal time translation operator for partial differential evolution equation in the algebraic dynamics algorithm proposed by Shun-Jin Wang and his students. Our construction involves only simple partial differentials and avoids the derivative terms of δ function which appear in the course of computation by means of Wang-Zhang operator. We prove Wang’s equivalent theorem which says that our construction and Wang-Zhang’s are equivalent. We use our construction to deal with several typical equations such as nonlinear advection equation, Burgers equation, nonlinear Schrodinger equation, KdV equation and sine-Gordon equation, and obtain at least second order approximate solutions to them. These equations include the cases of real and complex field variables and the cases of the first and the second order time derivatives.

关键词： algebraic dynamics infinitesimal time translation operator partial differential evolution equation

Investigation on the High Temperature Internal Friction of a Subperitectic Al-Zr Alloy in Precipitating Process of ZrAl_3

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Rare Metals 1989年第3期9卷 20-26页

作者： Teng Gongqing Huang Changzhi department of Physics,northeast university of Technology,Shenyang,china northeast Univ of Technology China

An inverted torsion pendulum has been used to study the high temperature internal friction of an Al-0.22wt% Zr *** experimental result has shown that the grain boundary internal friction peak shifted to lower temperature,the peak height des- cended and the activation energy related to this peak increased in the precipitating process of ZrAl_3 particle in the ***- while,the high temperature background descended so obviously as to be separated from the grain boundary internal *** internal friction peak caused by diffusion around ZrAl_3 particles has been *** mechanism of improvement of proper. ties of aluminium alloys containing a small amount of zirconium has also been discussed.

关键词： Zr Al

An Expert System in FRP Composite Material Design

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Journal of Materials Science & Technology 2001年第5期17卷 556-560页

作者： Qingfen LI, Zhaoxia CUI and Weimin WANG College of Mechanical & Electrical engineering, har.in engineering university, har.in 150001, china Jianhua GAO department of Mechanical engineering, Shanghai Jiao Tong university, Shanghai 200030, china har.in Engn Univ Coll Mech & Elect Engn Harbin 150001 Peoples R China Shanghai Jiao Tong Univ Dept Mech Engn Shanghai 200030 Peoples R China

An expert system prototype for fibre-reinforced plastic matrix (FRP) composite material design, ESFRP, has been developed. The system consists of seven main functional parts: a general inference engine, a set of knowledge bases, a material properties algorithm base, an explanation engine, various data bases, several function models and the user interface. The ESFRP can simulate human experts to make design scheme for fibre-reinforced plastics design, FRP layered plates design and FRP typical engineering components design. It can also predict the material properties and make strength analysis according to the micro and macro mechanics of composite materials. A satisfied result can be gained through the reiterative design.

关键词： An Expert System in FRP Composite Material Design FRP

A new definition of restricted Lie superalgebras

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Chinese Science Bulletin 2000年第4期45卷 316-321页

作者： WANG Ying & ZHANG Yongzheng1. department of Mathematics, har.in Institute Technology, har.in 150001, china 2. department of Mathematics, northeast Normal university, Changchun 130024, china department of Mathematics Harbin Institute Technology Harbin China department of Mathematics Northeast Normal University Changchun China

A new definition of restricted Lie superalgebras has been given; some important results on the representation theory of restricted Lie superalgebra have been obtained.

关键词： restricted Lie superalgebra p-mapping p-semilinear mapping α-representation.

L-R smash products for bimodule algebras

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Progress in Natural Science:Materials International 2006年第6期16卷 580-587页

作者： ZHANG Liangyun (department of Mathematics, Nanjing agricultural university, Nanjing 210095, china department of Mathematics, Nanjing university, Nanjing 210008, china) [a] department of Mathematics Nanjing Agricultural University Nanjing China [b] department of Mathematics Nanjing University Nanjing China

In this paper, we prove that the L-R smash product A(?)H is exactly the twisted smash product A * H if H is a finite dimensional cocommutative Hopf algebra, and give a sufficient and necessary condition for L-R smash products to be bialgebras (Hopf algebras) . For any finite dimensional coquasitriangular Hopf algebra (H,σ), we prove that the L-R smash product H(?)H is semisimple Artinian if H is semisimple and H * is unimodular. In particular, the L-R smash product D(H)* (?)D(H)* semisimple Artinian if the Drin-fel'd double D(H) is semisimple.

关键词： bimodule algebras L-R smash products coquasitriangular Hopf algebras Long bialgebras.

s-ordering operator expansions of quantum-mechanical fundamental representations and their applications

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Science china(Physics,Mechanics & Astronomy) 2011年第12期54卷 2150-2154页

作者： FAN HongYi 1,3 , XU YeJun 2 & YUAN HongChun 3,4 1 department of Materials Science and engineering, university of Science and Technology of china, Hefei 230026, china 2 department of Physics Electronic and engineering, Chizhou university, Chizhou 247000, china 3 department of Physics, Shanghai Jiao Tong university, Shanghai 200030, china 4 College of Optoelectronic engineering, Changzhou Institute of Technology, Changzhou 213002, china 1. department of Materials Science and engineering University of Science and Technology of China Hefei 230026 China3. Department of Physics Shanghai Jiao Tong University Shanghai 200030 China2. Department of Physics Electronic and Engineering Chizhou University Chizhou 247000 China4. College of Optoelectronic Engineering Changzhou Institute of Technology Changzhou 213002 China

We show that the quantum-mechanical fundamental representations, say, the coordinate representation, the coherent state representation, the Fan-Klauder entangled state representation can be recast into s-ordering operator expansion, which is elegant in form and has many applications in deriving new operator identities. This demonstrates that Dirac's symbolic method can be merged into Newton-Leibniz integration theory in a broad way.

关键词： s-ordering operator expansion operator identities quantum mechanical representation