The Application of Similarity Theory in Designing Large Deflection Buckling Spring-Piece

Large Deflection Buckling Spring-Piece (LDBSP) refers to the deformation of an end-fixed flat spring-piece under normal loadings. Plastic deformation usually appears in LDBSP.The static characteristic curve is very particular, because within its linear deflection region, the spring constant can be designed to be any value from minus to plus. With its obvious advantages of large liner deflection range, low spring constant, etc., the LDBSP has now been extensively applied to the exciting device, low-frequency shock absorbers and so on. The static characteristic curve of LDBSP belongs to the nonlinear problem of an arch with varying section. Therefore, it is difficult to obtain it theoretically. The formulae for designing LDBSP have not been set up yet. In this study,the authors apply similarity theory to analyze the liner deflection range A and the spring constant K, and derive the relationship of similarity criterion, finally obtain a set of formulae for designing LDBSP by model test and the least square method, which can be applied in engineering design.Through the research, it is proved that it is unnecessary to keep geometrical similarity of spring-piece shape. This fact extends the application scope of the formulae. The proposed formulae for designing LDBSP thereby can be applied for any dimensions within the range allowed.

Structure and Transport Properties of La_(0.67)Ca_(0.33)Mn_(1-x)Al_xO_3

The effects of Al ion doping on the Mn site were studied for the colossal magnetoresistance material La_(0.67)Ca_(0.33)MnO_3. It is found that the volume of the crystal cell decreases monotonically when the population of Al^(3+) increases across the entire doping range. As the Al^(3+) population increases, the resistance of the material rises rapidly, while the insulator-metal transition temperature T_(IM) decreases linearly. At small Al^(3+) dosage, a thermal activation model properly describes the transport properties at T>T_(IM), while a metallic model is more suitable at T<T_(IM). The variation of transport properties with the change of Al dosage may be attributed to lattice distortion caused by the destruction of Mn^(3+)-O^(2-)-Mn^(4+) double exchange channel as a result of Al^(3+)-doping. The doped Al^(3+) ions may modify the local field for electrons so to affect the transport properties.

Transport Properties of Rare Earth Manganese Oxide La_(0.67)Ca_(0.33)Mn_(1-x)Fe_xO_3

The transport properties were studied for rare earth manganese oxide La_(0.67)Ca_(0.33)Mn_(1-x)Fe_xO_3 (x=0～0.3) systems. It is found that with increasing Fe^(3+)-doping content x, the resistance increases and the insulator-metal transition temperature (T_(IM)) shifts to lower temperature. If the doping content is small, the transport properties manifest metallic characteristics in the temperature range of T<T_(IM), while they will obey a thermal activation model in the temperature range of T>T_(IM). Such a behavior may be attributed to the Fe^(3+)-doping and possible Mn ions scattering to electrons. The Fe^(3+) doping may lead to the formation of Fe^(3+)-O^(2-)-Mn^(4+) channels, which could terminate the double exchange Mn^(3+)-O^(2-)-Mn^(4+) channels. The antiferromagnetic clusters of Fe ions may induce the Mn ions to scetter to the electrons.

ASYMPTOTIC NON-STABILITY AND BLOW-UP AT BOUNDARY FOR SOLUTIONS OF A FILTRATION EQUATION

For a class of nonlinear filtration equation with nonlinear second-third boundary value condition, it is shown that a priori boundary of the solution can be estimated and controlled by initial data and integral on the boundary of the region. The priori estimate of the solutions was established by iterative method. By using this estimate the solutions may blow-up on the boundary of the region and thus it may have asymptotic non-stability.

Structure and Transport Properties of La_(1-x)Sr_xCoO_3 (0≤x≤0.5) System

The perovskite oxide La_ 1-xSr_xCoO_3 ( 0≤x≤0.5) series were prepared under different sintering conditions. Crystal structure was determined by powder X-ray diffraction and lattice parameters as a function of Sr-concentration x were obtained by using Rietveld method. The dc resistivity investigated in the temperature range of 80～300 K indicates that the electric properties exhibit a metallic-insulator (semiconducting) (M-I) transition for 0.2<x<0.3. The samples with x=0.2 is close to the M-I transition boundary. The influence of sintering conditions on the lattice parameters, resistivity and the ferromagnetic phase transition temperature T_C of La_ 1-xSr_xCoO_3 for the cases x=0.2 and 0.5 was discussed. The change of the electric properties of semiconductor-like sample (x=0.2) with sintering temperature and sintering period is just opposite to that of metallic sample (x=0.5). Annealing in flowing oxygen can decrease the resistivity of semiconductor-like sample.

AN ELASTICITY SOLUTION FOR AXISYMMETRIC PROBLEM OF FINITE CIRCULAR CYLINDER

In this paper the complete double-series in the closed region expressing the double-variable functions and their partial derivatives are derived by the H-transforniution and Stockes transformation. Using the double-series, a series solution for the axisyinmetric boundary value problem of the elastic circular cylinder with finite length is presented.In a numerical example, the cylinder subjected to the axisymmetric traellens with various loaded regions is investigated and the distributions of the displacement sand stresses are obtained.It is possible to solve the axisymmetric boundary value problems in the eylinderical coordinates for other scientific fields by use of the method presented in this paper.

The separability of two-mode Gaussian state under amplification and symmetric damping

The performances of a two-mode Gaussian state under paxametric amplification, symmetric amplitude damping and thermal noise axe studied. The time-dependent complex correlation matrix of the state in evolution is given. The sepaxability of the final two-mode Gaussian state is examined under symmetric amplification and asymmetric amplification separately.

Growth temperature dependent evolutions of microstructural,optical and magnetic properties of Zn_(0.75)Co_(0.25)O films

Zn0.75Co0.25O films are fabricated via reactive electron beam evaporation. The influence of growth temperature on the microstructural, optical and magnetic properties of Zn0.75Co0.25O films is investigated by using x-ray diffraction, selected area electron diffraction, field emission scanning electron microscope, high resolution transmitting electron microscope, photoluminescence （PL）, field dependent and temperature dependent DC magnetization, and x-ray photoelectron spectroscopy （XPS）. It is shown that Zn0.75Co0.25O films grown at low temperatures （250-350℃） are of single-phase wurtzite structure. Films synthesized at 300 or 350℃ reveal room temperature （RT） ferromagnetism （FM）, while su for 250℃ fabricated films is found above 56 K. PL and XPS investigations show favour towards the perspective that the O-vacancy induced spin-split impurity band mechanism is responsible for the formation of RT FM of Zn0.75Co0.25O film, while the superparamagnetism of 250℃ fabricated film is attributed to the small size effect of nanoparticles in Zn0.75Co0.25O film.

Magnetic Properties of La_(1-x)Sr_xCoO_3 (0≤x≤0.5)

The measurements of temperature dependence of the magnetic susceptibility of La1-xSrxCoO3 perovskite oxides at different Sr doping （0 ≤x ≤0.5） and annealing temperature were presented. For the sample with x = 0.1, a shoulder was observed around 150 K, and a peak which is one feature of spin glass appeared around 50 K in the curve of susceptibility versus temperature. The high-temperature （250 - 420 K）susceptibility fits well with Curie-Weiss law for all samples. Weiss constant and effective magnetic moment were determined and their variations with Sr doping and oxygen annealing condition were obtained. The Weiss constant increases monotonously with Sr content for x 〉 0.2. The values of effective moments were interpreted with the spin state of cobalt ions. Studies on the susceptibilities of the samples with x = 0.2 under different preparation temperatures and annealing temperatures show that the rising of sintering temperature and annealing temperature will increase the para-ferromagnetic transition temperature, and reduce the effective moment to normal value. Our result shows that both Co^3＋ and Co^4＋ ions should be in IS state after annealing and the oxygen annealing causes the transition of Co^3＋ spin state from HS to IS.

Semiconductor-Like Properties of Sputtered FexCul-x Thin Films

Amorphous FexCul-x thin films with x ranging from 0.21 to 0.81 have been obtained by rf-magnetron sputtering.The structure and the electric transport properties of the films can be controlled by both the composition and annealing temperature.The resistances of the films decrease with the temperature increasing from 12 to 300K,which is the typical semiconductor characteristic.After annealing at 400°C for 5h,the amorphous FexCul-x thin film is crystallized and exhibits electric transport property an normal metal film.The dependence of resistance-temperature characteristics of the films on the composition and deposition time is described.

Bifurcation suppression of nonlinear systems via dynamic output feedback and its applications to rotating stall control

This paper deals with the problems of bifurcation suppression and bifurcation suppression with stability of nonlinear systems. Necessary conditions and sufficient conditions for bifurcation suppression via dynamic output feedback are presented; Sufficient conditions for bifurcation suppression with stability via dynamic output feedback are obtained. As an application, a dynamic compensator,which guarantees that the bifurcation point of rotating stall in axial flow compressors is stably suppressed, is constructed.

Expression of FAMeT and JHE Influenced by Kruppel homolog-1 Gene from Brown Planthopper

The characteristics of zinc finger of Kruppel homolog-1 （N/kr-hl） gene from brown planthopper and its effect on expression of FAMET and JHE were studied in the paper, in order to understand the regulation role of Nlkr-hl. The evolutionary tree of each zinc finger in functional area of Nlkr-hl was analyzed via MEGAS. 0 software, and expression status of FAMeT and JHE after interference of N/kr-hl was determined using qPCR technology. The results showed that the functional area of N/kr-hl mainly included eight zinc fingers, and the conservativeness of Znl and Zn8 was relatively lower. In the brown planthopper with N/b＇-hl gene knockout, the expression levels of FAMeT and JHE increased. The paper provided the theoretical basis for understanding molecular mechanism of juvenile hormone signaling pathway and biological control of brown planthopper.

ON THE EXACT DEGREE OF APPROXIMATION BY HERMITE-FEJER INTERPOLATION BASED ON THE LAGUERRE ABSCISSAS

For the nonpositive Hermite-Fejér interpolation based on the Laguerre abscissas, a pointwise two-sided estimate of the degree of approximation in the aleatoric interval [0, A] is first established.

A rapid analysis of coal with furnace under controlled multiple temperature areas

A novel thermogravimetric analyzer system of furnace with multiple temperature controller was described,which mainly decreased the analysis cycle duration down to 20 min.Furthermore,the present C591 rapid analyzer system under software can monitor and control some coal physical and chemical properties like change of coal,control com- bustion regulation,operation of coal mixture,and improvement of the turnover rate of the transportation facilities as well.

Relative Entropy of Entanglement of a Kind of Two-Qubit Entangled States

We strictly prove that some block diagonalizable two-qubit entangled state with six non-zero elements reaches its quantum relative entropy entanglement by a separable state having the same matrix structure. The entangled state comprises local filtering result state as a special case.

A 2-PERIODIC TRIGONOMETRIC INTERPOLATION PROBLEM

2-periodic trigonometric interpolation problems on 2n equidistant nodes and 4n+1 equi- distant nodes are considered respectively.Regularity theorems,fundamental polynomials and convergence rate of the corresponding interpolations are given here.

SIMULTANEOUSE APPROXIMATION TO A DIFFERENTIABLE FUNCTION AND ITS DERIVATIVES BY LAGRANGE INTERPOLATING POLYNOMIALS

This paper establishes the following pointwise result for simultancous Lagrange imterpolating approxima- tion:,then |f^(k)(x)-P_n^(k)(f,x)|=O(1)△_n^(q-k)(x)ω where P_n(f,x)is the Lagrange interpolating potynomial of deereeon the nodes X_nUY_n(see the definition of the next).

Quantum Binary Symmetric Channels

Quantum binary symmetric channels are defined via the invariance of fidelity under unitary transformations of the input density operators. In this definition, they not only include the most studied case of the depolarizing channel but also other channels. We investigate the character of the latter and find the maximum of the coherent information to estimate the capacities of the channels.

A Proof of the Jacobian Conjecture on Global Asymptotic Stability

Let f∈C^1(R^2, R^2), f(0)=0. The Jacobian Conjecture states that if for any x∈R^2, the eigenvalues of the Jacobian matrix Df(x) have negative real parts, then the zero solution of the differential equation x=f(x) is globally asymptotically stable. In this paper we prove that the conjecture is true.

A proof of the Jacobian conjecture on global asymptotic stability

A classical problem, known as global asymptotic stability Jacobian conjecure or plane Markus-Yamabe conjecture, says that if, the Jacobian matrix Df (x) of f is stable, then the zero solution of the differential equation (1) is globally asymptotically stable. In 1963, Olech proved that the conjecture is equivalent to global injectivity of f,