K-bitonic sort

Ak-bitonic sort which generalizes the bitonic sort is proposed. The theorem of the bitonic sort, which merges two monotonic sequences into one order sequence, is extended into the theorem ofk-bitonic sort. Thek-bitonic sort merges (K (=2k or 2k−1) monotonic sequences into one order sequence in steps, where is an integer andk≥1. Thek-bitonic sort is the Batcher's bitonic sort whenk=1. Project supported by the National 863 Foundation of China (863-306-05-01-1) and the National Natural Science Foundation of China (Grant No. 69673037).     

Semiviscosity flow equation with variable parameters under superplastic tension conditions

Ａｓｅａｒｌｙａｓｉｎ1964,Ｂａｃｋｏｆｅｎｅｔａｌ.ｂｅｌｉｅｖｅｄｔｈａｔｕｎｄｅｒｓｕｐｅｒｐｌａｓｔｉｃｃｏｎｄｉｔｉｏｎｓｈａｒｄｌｙａｎｙｓｔｒａｉｎｈａｒｄｅｎｉｎｇｔａｋｅｓｐｌａｃｅｄｕｒｉｎｇｔｈｅｄｅｆｏｒｍａｔｉｏｎｏｆｍａｔｅｒｉａｌｂｕｔｔｈｅｒｅｉｓａｓｔｒｏｎｇｓｔｒａｉｎｒａｔｅｈａｒｄｅｎｉｎｇ[1].Ａｎｄｔｈｅｙａｌｓｏｅｓｔａｂｌｉｓｈｅｄｔｈｅｓｅｍｉｖｉｓｃｏｓｉｔｙｅｑｕａｔｉｏｎσ=ｋεｍ,(1)ｗｈｉｃｈｉｎｄｉｃａｔｅｓｔｈｅｒｅｌａｔｉｏｎｂｅｔｗｅ…     

Fine structure and interface structure of ion-bombardment nitrided layers

ＧｅｒａｒｄｉｎａｎｄＭｉｃｈｅｌｏｂｓｅｒｖｅｄｔｈｅｉｏｎｎｉｔｒｉｄｅｄｌａｙｅｒｏｆｐｕｒｅｉｒｏｎｗｉｔｈＴＥＭ[1].Ｔｈｅｒｅｓｕｌｔｓｓｈｏｗｅｄｔｈａｔｔｈｅｒｅａｒｅｏｎｌｙｔｗｉｎｓ,ｓｏｗｈｅｔｈｅｒｔｈｅｒｅａｒｅｄｉｓｌｏｃａｔｉｏｎｓａｎｄｗｈａｔｉｓｔｈｅｉｒｃｏｎｆｉｇｕｒａｔｉｏｎａｒｅｎｏｔｑｕｉｔｅｃｌｅａｒ.Ｔｈｅａｕｔｈｏｒｓｈａｖｅｆｏｕｎｄｔｈａｔｔｈｅｒｅａｒｅｖａｃａｎｃｉｅｓｉｎｉｏｎｎｉｔｒｉｄｅｄｌａｙｅｒｓ[2],ｂｕｔｔｈｅｐｒｏｏｆｏｆａｔｏ…     

Existence of positive solutions in a delay logistic difference equation

The author studied the existence of positive solutions of the delay logistic difference equationΔyn=pnyn(1-yτ(n)), n=0,1,2,....where {pn} is a sequence of positive real numbers, {τ(n)} is a nondecreasing sequence of integers, τ(n)＜n and limn→∞τ(n)=∞. A sufficient condition for the existence of positive solutions of the equation was given.     

The role of atomic hydrogen and hydrogen-induced martensites in hydrogen embrittlement of type 304L stainless steel

The role of atomic hydrogen and hydrogen-induced martensites in hydrogen embrittlement in slow strain rate tensile tests and hydrogen-induced delayed cracking (HIC) in sustained load tests for type 304 L stainless steel was quantitatively studied. The results indicated that hydrogen-induced martensites formed when hydrogen concentration C0 exceeded 30 ppm, and increased with an increase in C0, i.e. M(vol%) =62-82.5exp( - C0/102). The relative plasticity loss caused by the marten-sites increased linearly with increasing amount of the martensites, i.e. Iδ(M),% = 0.45M(vol %) = 27.9-37.1 exp( -C0/102). The plasticity loss caused by atomic hydrogen Iδ(H) increased with an increase in C0 and reached a saturation value Iδ(H)max = 40% when C0 > 100 ppm. Iδ( H) decreased with an increase in strain rate E , i.e. Iδ (H), % = - 21.9 - 9. 9(?), and was zero when (?)≥(?)c = 0.032/ s. HIC under sustained load was due to atomic hydrogen, and the threshold stress intensity for HIC decreased linearly with lnC0, i.e     

Non-fragile delay-dependent H ∞ control of linear time-delay system with uncertainties in state and control input

The problem of designing a non-fragile delay-dependent H∞ state-feedback controller was investigated for a linear time-delay system with uncertainties in state and control input. First, a recently derived integral inequality method and Lyapunov-Krasovskii stability theory were used to derive new delay-dependent bounded real lemmas for a non-fragile state-feedback controller containing additive or multiplicative uncertainties. They ensure that the closed-loop system is internally stable and has a given H∞ disturbance attenuation level. Then, methods of designing a non-fragile H∞ state feedback controller were presented. No parameters need to be tuned and can be easily determined by solving linear matrix inequalities. Finally, the validity of the proposed methods was demonstrated by a numerical example with the asymptotically stable curves of system state and controller output under the initial condition of x（0）=[1 0 -1]^T and h=0.8 time-delay boundary.     

Magnetohydrodynamic study of electromagnetic separation of nonmetallic inclusions from aluminum melt

Magnetohydrodynamic flow around the nonmetallic inclusions in aluminum melt and the force exerted on the inclusions were explored by dimensional analysis and numerical calcula-tions. Dimensional analysis shows that the invariant characterizes the force exertedon the inclusions and the flow intensity of the melt. The physical significance of A is represented as a modified particle Reynolds number that reflects the effects of electromagnetic force. The fluid flow around the particle becomes unstable when A>2×103. It is shown that the neglect of the in-ertial terms has little effect on the force exerted on the inclusions in the range of A≤1×106. However, the analytical solution of the maximum velocity inside the melt does not apply due to the appearance of turbulent flow in the case of A>2?103.     

Investigation on the surface active sites variation of mineral dusts

Ｔｈｅｇｒｏｕｐｏｆｎａｔｕｒａｌｍｉｎｅｒａｌｄｕｓｔｓｒｅｌａｔｅｓｔｏｔｈｅｉｒｂｉｏｌｏｇｉｃａｌａｃｔｉｖｉｔｙａｎｄｃｏｎｔｒｏｌｓｔｈｅｉｒｆｅａｔｕｒｅａｎｄｃｏｎｔｒｉｂｕｔｉｏｎｏｆｓｕｒｆａｃｅａｃｔｉｖｅｓｉｔｅｓａｎｄｉｎｆｌｕ ｅｎｃｅｓｏｎｔｈｅｐｒｏｃｅｓｓｏｆｔｈｅｉｒｓｕｒｆａｃｅ/ｃｅｌｌｐｈｙｃｏ ｃｈｅｍｉｓｔｒｙ[1] .1　ＥｘｐｅｒｉｍｅｎｔａｌＴｈｅｓａｍｐｌｅｓｕｓｅｄｉｎｅｘｐｅｒｉｍｅｎｔａｌｗｅｒｅｆｉ ｂｒｏｕｓｂｒｕｃｉｔｅｆｒｏｍｔｈｅｓｏｕ…     

Electrochemical behavior of K3Fe（CN）6 in water-in-oil microemulsion

A water-in-oil (W/O) microemulsion composed of Triton X-100, n-hexanol, n-hexane and water solution with hydrochloric acid was prepared. K₃Fe(CN)₆ was added in as a water-soluble electroactive probe, and its electrochemical behavior was investigated by cyclic voltammetry (CV) and electrochemical impedance spectroscopy (EIS). It is found that the H⁺ concentration of the water phase has a great effect on the conductivity of the W/O microemulsion, and hence influences the electrochemical behavior of K₃Fe(CN)₆. When the pH value of water phase is about 7, the electrical conductivity of the W/O microemulsion is only 1.2×10⁻⁶ S/cm, and K₃Fe(CN)₆ almost cannot react at the glassy carbon electrode. But when the H⁺ concentration is more than 3 mol/L, the W/O microemulsion has a good electrical conductivity and K₃Fe(CN)₆ shows good electrochemical performance in it. The results of CV and EIS studies indicate that the electrochemical behavior of Fe(CN)₆ ³⁻/Fe(CN)₆ ⁴⁻ in the W/O microemulsion is different from that in the aqueous solution. This may be due to the unique liquid structure of the W/O microemulsion and the unique mass transfer in the W/O microemulsion. Foundation item: Projects(20673036, J0830415) supported by the National Natural Science Foundation of China; Projects(05JT1026, 2007JT2013) supported by the Science Technology Project of Hunan Province, China     

A new sequential data assimilation method

A new sequential data assimilation method named "Monte Carlo H ∞ filter" is introduced based on H ∞ filter technique and Monte Carlo method in this paper. This method applies to nonlinear systems in condition of lacking the statistical properties of observational errors. In order to compare the as- similation capability of Monte Carlo H ∞ filter with that of the ensemble Kalman filter (EnKF) in solving practical problems caused by temporal correlation or spatial correlation of observational errors, two nume...     

State space methods for decentralized H∞ control

This paper presents state space methods for decentralized H_∞ control, which contain two respects: a parametrization approach and an iterative algorithm. For large scale systems withN subsystems, decentralized H_∞ controllers can be derived by a parametrization result for centralized H_∞ controllers and designed by an iterative algorithm with structured constraint to the controllers. Project supported by the National Natural Science Foundation of China Synopsis of the first author Wu Min, professor, born in July, 1963, research interests are in robust control, digital control systems theory, nolinear control systems and industrial process contnol.     

Selective recognition in molecularly imprinted polymer and its chromatographic characterization for cinchonine

A molecularly imprinting polymer (MIP) was synthesized via bulk polymerization under different conditions using anti-ague drug cinchonine (CN) as template. Infrared spectra (IR) results show that the template CN and functional monomer α-methyl acrylic acid (MAA) formed complexes before polymerization and the structure of complexes was simulated by Hyperchem. The results indicate that there are hydrogen bond or ionic bond between functional monomer and template molecule in acetonitrile solution. The MIP made in cold-initiated photo-polymerization has higher separation performance than that in the therm-initiated polymerization. The separation of the isomers CN and cinchonidine (CD) can be successfully obtained when its separate factor α reaches 1.82. Scatchard analysis suggests that the MIP recognizing CN with two classes of binding sites. The partition coefficient K _{d, 1} and apparent maximum number n _{max, 1} of binding sites with high affinity are 131.43 μmol/L and 58.90 μmol/g, respectively, while K _{d, 2} and n _{max, 2} of binding sites with low affinity are 2.32 mmol/L and 169.08 mmol/g, respectively. Foundation item: Project(2004035085) supported by the Postdoctoral Science Foundation of China; project(04JJ3080) supported by the Natural Science Foundation of Hunan Province     

Theoretical and metrical standardization of strain rate sensitivity index

Strain rate sensitivity index m is one of the vital mechanical parameters for determining material superplasticity. In this paper, the existing formulae for measuring m value are reviewed, and it is found that the m values can be classified into three classes mi under constant length, mv under constant velocity, and mp under constant load. The constraint equation of the generalized m value is established according to the tensile constitutive equation and the basis theory for plastic mechanics. Based on three typical deformation paths, the m value is redefined. Furthermore, from the formula of generalized m value, the formulae for measuring mi, mv and mp are theoretically deduced. The precise methods with numerical simulation are presented. The results prove that the m value is a non-constant and its dependence on (ε) changes with the deformation path. Under different deformation paths, the m values calculated from the same formula are different. Using different formulae, the m values under the same deformation path are also different. Therefore, deformation path and corresponding formula should be given during the measurement of the m value. Moreover, it is explained theoretically and experimentally that why the mv value under constant velocity is sometimes negative but the mp value under constant load is sometimes lager than 1. The aim of the analysis and measurement of the m value is to facilitate the study on the relationship between macroscopical mechanical laws and microscopic physical mechanisms during superplastic deformation.     

Electrical and Magnetic Properties of Electron Doped BixCa1-xMnO3 （0〈x ≤0.33） Ceramics

Measurements of crystal structures, electrical and magnetic properties for the electron doped BixCa1-xMnO3 （0〈x≤〈0.33） reveal the presence of a variety of notable changes in correlation with magnetic transitions and charge ordering. Samples with x〈0.2 in general show a clear ferromagnetic transitions around 130 K. On the other hand, samples with 0.2≤x≤0.33 show much more complex low-temperature magnetic properties perhaps due to the coupling between the magnetic states and orbital/charge ordering. Structural transformations and structural modulations in the x=0.25 and 0.33 samples have been observed by transmission electron microscopy.     

An LMI-based unified approach to reduced-order controller design

The design of reduced-order controllers is considered for stabilization control, covariance upper bound control, linear quadratic regulator, ∞ control, H∞ control, positive real control problems and robust H2 control, robust ∞ control and robust H∞ control problems for generalized linear plants without any additional assumptions. An upper bound of the order is obtained with which the (robust) controllers can guarantee stability constraints and satisfy the same design objectives as the so-called "full-order" controllers. A unified linear-matrix-inequality ( LMI) based approach to reduced-order (robust) controller design for all the above-mentioned problems is provided. It us shown that each of these problems is solvable if and only if two uncoupled LMIs with an LMI-type constraint have a pair of positive definite solutions, one of which has a lower dimension than that given by Skelton and iwasaki (1995). All desired reduced-order (robust) controllers are parameterized via the solutions of LMIs Moreov     

Decentralized H∞ state feedback control for large-scaleinterconnected uncertain systems with multiple delays

Decentralized H∞ control was studied for a class of interconnected uncertain systems with multiple delays in the state and control and time varying but norm-bounded parametric uncertainties. A sufficient condition which makes the closed-loop system decentralized asymptotically stable with H∞ performance was derived based on Lyapunov stability theorem. This condition is expressed as the solvability problem of linear matrix inequalities. The method overcomes the limitations of the existing algebraic Riccati equation method. Finally, a numerical example was given to demonstrate the design procedure for the decentralized H∞ state feedback controller.     

Influence of interfacial strength on the fracture toughness of glass-ceramic matrix composites

Nine kinds of glass-ceramic matrix composites with different compositions and interfacial strength (τ _s) were prepared. The influence of τ _s on the fracture toughness(K _1c) of composites was studied. It was discoved that, for the system no chemical reaction taking place at the interface, K _1c increased proportionally with τ _s increasing at the first stage, then decreased when τ _s reached a certain value. According to this result, a model of relationship between τ _s, thermal mismatch (Δα _r) and K _1c was built up. If a chemical reaction took place and a new phase was formed in the interface, the K _1c of composite was effected by the combination of τ _s, chemical bonding, radial interfacial stress and other factors. Project supported by the National Natural Science Foundation of China Synopsis of the first author Wang Lingsen, professor, born in 1938, current research field: special ceramic and ceramic matrix composite, etc.     

The dynamics of acid treatment in the preparation of porous glass

1　IntroductionPorousglasswithahighsilicacontentisoneofnewfunctionalmaterials ,andithasaprosperousprospectinapplications .Inrecentyears ,porousglasswaspaidatten tionbyinternationalmaterialspecialistsandscholars[1 4] .However,thephase separationglasseswerefragileandbreakableduringtheacidtreatment,limitingtheapplica tionsofporousglass .Herein ,inthispapertheeffectsoftreatmenttime ,temperatureandacidconcentrationinthepreparationofporousglasswithhighsilicawereemphas izedonandthedynamicsandmechanis…     

Delay-independent decentralized H ∞ control for multi-channel discrete-time systems with uncertainties

A robust decentralized H∞ control problem was considered for uncertain multi-channel discrete-time systems with time-delay. The uncertainties were assumed to be time-invariant, norm-bounded, and exist in the system, the time-delay and the output matrices. Dynamic output feedback was focused on. A sufficient condition for the multi-channel uncertain discrete time-delay system to be robustly stabilizable with a specified disturbance attenuation level was derived based on the theorem of Lyapunov stability theory. By setting the Lyapunov matrix as block diagonal appropriately according to the desired order of the controller, the problem was reduced to a linear matrix inequality （LMI） which is sufficient to existence condition but much more tractable. An example was given to show the efficiency of this method.     

Advanced sludge reduction and phosphorous removal process

An advanced sludge reduction process, i.e. sludge reduction and phosphorous removal process, was developed. The results show that excellent sludge reduction and biological phosphorous removal can be achieved perfectly in this system. When chemical oxygen demand ρ（COD） is 332 - 420 mg/L, concentration of ammonia p（NH3-N） is 30 - 40 mg/L and concentration of total phosphorous p（TP） is 6.0 -9.0 mg/L in influent, the system still ensures ρ（COD）〈23 mg/L, ρ（NH3-N）〈3.2 mg/L and ρ（TP）〈0. 72 mg/L in effluent. Besides, when the concentration of dissolved oxygen ρ（DO） is around 1.0 mg/L, sludge production is less than 0. 140 g with the consumption of 1 g COD, and the phosphorous removal exceeds 91 %. Also, 48.4% of total nitrogen is removed by simultaneous nitrification and denitrification.