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Effective tool design of three-rank form as precision removal-process of ITO thin-films

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中国有色金属学会会刊：英文版 2009年第B09期19卷 232-237页

作者： Pai-shan PA Digital Content Design Graduate School of Toy and Game DesignNational Taipei University of Education

A new effective tool design of three-rank form of electroremoval was present using a precision recycle system offering faster performance in removing the indium-tin-oxide(ITO) thin-films on color filter surface of displays. Higher electric power is not required since the three-rank form tool is adopted as a feeding mode to reduce the response area. The low yield of ITO persists throughout the entire semiconductor production process. By establishing a recycle process of ultra-precise removal of the thin-film nanostructure, defective products in the optoelectronic semiconductors industry can be effectively recycled, decreasing both production costs and pollution. A 5th generation TFT-LCD was used. The design features of the removal processes for the thin-films and the tool design of three-rank form were of major interest. For the precision removal processes, a pulsed current can improve the effect of dreg discharge and contributes to the achievement of a fast workpiece (displays' color filter) feed rate, but raises the current rating. High flow velocity of the electrolyte with a high rotational speed of the tool electrodes elevates the ITO removal effect. A displays' color filter with a fast feed rate is combined with enough electric power to provide highly effective removal. A small thickness of the rank and a small arc angle of the negative-electrode correspond to a higher removal rate for ITO-film. An effective three-rank form negative-electrode provides larger discharge mobility and better removal effect. It only needs a short period of time to remove the ITO easily and cleanly.

关键词：工具设计薄膜材料 ITO

Convergence of the Solution to General Viscoelastic Koiter Shell Equations

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Acta Mathematica Sinica,English Series 2007年第9期23卷 1683-1688页

作者： Fu shan LI School of Mathematical Sciences Qufu Normal University Qufu 273165 P. R. China and Institute of Mathematics Fudan University Shanghai 200433 P. R. China

By applying the inequality of Korn＇s type without boundary conditions on a general surface, we prove that the scaled displacement of the two-dimensional linearly viscoelastic Koiter＇s shell converges to the solution... 详细信息

关键词： Koiter's shells Korn's inequality membrane shells

A Class of Non-degenerate Solvable Lie Algebras and Their Derivations

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Acta Mathematica Sinica,English Series 2008年第1期24卷 7-16页

作者： Hai shan ZHANG School of Mathematical Sciences Capital Normal University Beijing 10037 P. R. China

The author constructs a class of indecomposable non-degenerate solvable Lie Algebras corresponding to a Cartan matrix A over the field of complex numbers and we determine all their derivations.

关键词： non-degenerate solvable derivation finite-dimensional simple Lie algebra

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Chinese Journal of Astronomy and Astrophysics 2008年第2期8卷 219-229页

作者： shan-Jie Qian National Astronomical Observatories Chinese Academy of Sciences Beijing 100012

Correlated radio-optical variations on intraday timescales have been observed （e.g. in BLO 0716＋714） and such radio intraday variability is suggested to have an intrinsic origin. Recently, multi-wavelength observations, simultaneous at radio, mm-submm, optical and hard X-rays, of 0716＋714, show that during a period of intraday/interday variations at radio and mm wavelengths, the apparent brightness temperature of the source exceeded the Compton-limit （-10^12 K） by 2-4 orders of magnitude, but no Compton catastrophe （or no high luminosity of inverse-Compton radiation） was detected. It is also found that the intraday/interday variations at mm-submm wavelengths are consistent with the evolutionary behavior of a standard synchrotron source and for the intraday/interday variations at centimeter wavelengths opacity effects can play a significant role, which is consistent with the interpretation suggested previously by Qian et al. Thus the apparent high brightness temperatures may probably be explained in terms of Doppler boosting effects due to bulk relativistic motion of the source. We will argue a scenario to simulate the correlations between the radio and optical variations on intraday timescales observed in BLO 0716＋714 in terms of a relativistic shock propagating through a jet with a dual structure.

关键词： optical and radio continuum: galaxies -- galaxies: intraday variability -- quasars: individual: BLO 0716+71

Sharp Upper Bounds for λ_1^(L_r) of Immersed Hypersurfaces and Their Stability in Space Forms

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Acta Mathematica Sinica,English Series 2008年第5期24卷 749-760页

作者： Ru shan WANG College of Mathematics and Computer Science Anhui Normal University Wuhu 241000 P. R. China School of Mathematical Sciences Fudan University Shanghai 200433 P. R. China

In this paper we derive new sharp upper bounds for the first positive eigenvalue λ1^Lr of the linearized operator of the higher order mean curvature of a closed hypersurface immersed into a Riemannian space form R^（n＋l）（c）（c 〉 0）. Our bounds are extrinsic in the sense that they are given in terms of the higher order mean curvatures. Under the assumption Hr＋2 〉 0, by establishing two valuable integral formulas, we obtain unified sharp upper bounds of λ1^Lr. We also give an estimation of the upper bounds of the first eigenvalue of a SchrSdinger-type operator, by which we prove those hypersurfaces with positive constant Hr＋l in any space forms are stable if and only if they are geodesic spheres, thus generalizing the previous result obtained only in the case c≤0.

关键词： r-mean curvature Schrodinger-type operator stability geodesic hypersphere

Model-fitting of the kinematics of superluminal components in blazar 3C 279

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Research in Astronomy and Astrophysics 2012年第1期12卷 46-62页

作者： shan-Jie Qian National Astronomical Observatories Chinese Academy of Sciences Beijing 100012 China

A precessing jet-nozzle model with a precession period of about 25 yr has been proposed by Qian to interpret the change with time of the ejection position an- gle of the superluminal components observed using very long baseline interferometry （VLBI） in the blazar 3C 279. We discuss the kinematic properties of six superluminal knots （C3, C4, C7a, C8, C9 and C10） and show that their trajectory, core-distance and apparent speed, derived from VLBI observations, can be consistently well fitted by the model. Their intrinsic Lorentz factors of bulk superluminal motion are thus derived, and the evidence shows no relation between Lorentz factor and the precession phase. Interestingly, for the C7a and C8 knots, the fitted core-distance ranges from ,,～0.1 mas to ～0.4 mas and for knots C9 and C10 from ～0.2mas to ～1.0-1.5 mas. For knot C4, its trajectory and apparent velocity are well fitted in the core-distance range from H1 mas to ～5 mas, taking into account a curvature of the trajectory at core-distance larger than ,,～3 mas. The consistent fitting of the kinematics of these components clearly demonstrates that the amplitude function and collimation param- eter adopted in the precession model are appropriate and applicable for both the in- ner and outer parts of the jet in 3C 279, but in some cases the jet curvature in the outer parts （or deviation from the model trajectory） needs to be seriously taken into consideration. With the exception of C4, the ejection position angles derived from the precession model are consistent with the values measured by VLBI observations （within about 3° - 6°）. Undoubtedly, the consistent interpretation of the kinematics in terms of the precession model for these superluminal components, with their ejection time spanning -～24 yr, significantly expands its applicability and implies that regular patterns of trajectories （or rotating channels） could exist in some periods.

关键词： radio continuum -- galaxies: jets -- galaxies: kinematics -- galaxies:individual (blazar 3C 279)

Resonant frequencies of a piezoelectric drum transducer

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Journal of Zhejiang University-Science A(Applied Physics & Engineering) 2009年第9期10卷 1313-1319页

作者： Jiang-bo YUAN Tao XIE Xiao-biao shan Wei-shan CHEN State Key Laboratory of Advanced Robot and System Harbin Institute of Technology Harbin 150001 China

This paper presents a piezoelectric-metal structure called a drum transducer. An equation for calculating the resonance frequency of the drum transducer is obtained based on thin plate elastic theory of piezoelectric and metal material combined with the Rayleigh-Ritz method. The finite element method (FEM) was used to predict the excitation frequency of the drum transducer. To verify the theoretical analysis, the input impedance characteristic of the drum transducer was measured using an experimental method. The results obtained from theoretical analysis were in very good agreement with those from the FEM and experimental results. The effect of geometrical changes to the thick-walled steel ring of the drum transducer at the first resonance frequency is also described. The calculated results were found to be in good agreement with the FEM results. The results indicate that the first resonance frequency of the drum decreases with the increasing inner diameter of the thick-walled steel ring.

关键词： Piezoelectric Drum transducer Resonance frequency

Certain Additive Maps on （m ＋ n ＋ 1）-Power Closed Lie Ideals

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Algebra Colloquium 2014年第1期21卷 81-94页

作者： Kun-shan Liu Department of Mathematics National Taiwan University Taipei 106 Taiwan

Let R be a prime ring and m, n be fixed non-negative integers such that m＋n ≠ 0. Suppose L is an （m＋m＋1）-power closed Lie ideal, and this means ure＋n＋1 ∈ L for all u ∈ L. If charR = 0 or a prime p 〉 2（m ＋ n）, we characterize the additive maps d： L → R satisfying d（um＋n＋1） = （m -＋n ＋ 1）umd（u）un （resp., d（um＋n＋l） = umd（u）un） for all u ∈ L.

关键词： prime ring k-power closed Lie ideal additive map GPI functional identity

A simple approach for determining the preload of a wire race ball bearing

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Journal of Zhejiang University-Science A(Applied Physics & Engineering) 2010年第7期11卷 511-519页

作者： Xiao-biao shan Li-li WANG Tao XIE Wei-shan CHEN 1School of Mechatronics Engineering Harbin Institute of Technology Harbin 150001 China College of Science Northeast Forestry University Harbin 150040 China

Wire race ball bearings have been widely used in high-tech weapons. The preload of a wire race ball bearing is crucial in engineering applications. In this study, a more effective approach is proposed for exact determination of the wire race ball bearing preload. A new mathematical model of the preload and the starting torque of the wire race ball bearing was built using the theorem of the 3D rolling friction resistance and the non-conforming contact theory. Employing a wire race ball bearing with a 1000 mm diameter used in a specific type of aircraft simulating rotary table, the numerical analysis in MATLAB～ showed that the preload magnitude can be controlled in the range of 130–140 μm. As verification, the experimental results were in agreement with the theoretical results, and confirm the feasibility of this method. This new approach is more exact in the preload range of 10–158 μm than that computed by the numerical method reported in our previous work (shan et al., 2007b). This implies that the present method contributes to more effectively preventing rolling noise, overturning moments and wear of the wire race ball bearing. The current research provides critical technical support for the engineering application of wire race ball bearings with large diameters.

关键词： Wire race ball bearing Rolling friction Starting torque Contact interface