RESEARCH OF REGULARITY OF THROWING MOVEMENT FOR SOLID PARTICLE ON THE SHAKER''''S SCREEN

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DISCUSSION ON BARENBLATT’S EQUATIONS OF MEAN MOVEMENT OF THE INHOMOGENEOUS FLUID

In this paper,it is proved that Barenblatt’s equation of mean movement of the inhomogeneous fluid is not cor-rect,because his equations are based on the assumption that the characteristics of inhomogeneity of fluid are only af-fected with respect to gravitational terms.The correct form of the equation of mean movement of the inhomogeneous fluid is derived in this paper.     

DISCUSSION ON BARENBLATT’S EQUATIONS OF MEAM MOVEMENT THE INHOMOGENEOUS FLUID

In this paper, it is proved that Barenblatt’s equation of mean movement of the inhomogeneous fluid is not correct, because his equations are based on the assumption that the characteristics of inhomogeneity of fluid are only affected with respect to gravitational terms. The correct form of the equation of mean movement of the inhomogeneous fluid is derived in this paper.     

ON THE ASSUMPTION OF SAINT-VENANT’S PROBLEM

In this paper we obrain uniquely the solution of Saint-Venant’s problem under theassumption of(?)σ_z=0(m≥2)for noncircular prismatic bars.     

MICROBE-METAL-INTERACTIONS FOR THE BIOTECHNOLOGICAL TREATMENT OF METAL-CONTAINING SOLID WASTE

In nature, microbes are involved in weathering of rocks, in mobilization of metals from minerals, and in metal precipitation and deposition. These microbiological principles and processes can be adapted to treat particulate solid wastes. Especially the microbiological solubilization of metals from solid minerals （termed bioleaching） to obtain metal values is a well-known technique in the mining industry. We focus here on non-mining minerai wastes to demonstrate the applicability of mining-based technologies for the treatment of metal-containing solid wastes. In the case study presented, microbial metal mobilization from particulate fly ash （originating from municipal solid waste incineration） by Acidithiobacilli resulted in cadmium, copper, and zinc mobilization of 〉80%, whereas lead, chromium, and nickel were mobilized by 2, 11 and 32%, respectively. In addition, the potential of HCN-forming bacteria （Chromobacterium violaceum, Pseudornonas fluorescens） was investigated to mobilize metals when grown in the presence of solid materials （e.g.,copper-containing ores, electronic scrap, spent automobile catalytic converters）. C. violaceum was found capable of mobilizina nickel as tetracyanonickelate from fine-grained nickel powder. Gold was microbially solubJlized as dicyanoaurate from electronic waste. Additionally, cyanide-complexed copper was detected during biological treatment of shredded printed circuit-board scraps. Water-soluble copper and platinum cyanide were also detected during the treatment of spent automobile catalytic converters.     

OVERLAPPING GRIDS FOR THE SIMULATION OF PARTICLE INTERACTION AT THE MICRO SCALE

This paper describes the use of overlapping grids for the calculation of flow around single and multiple-particle configurations at the micro scale. The basic equations for calculation are those for conservation of mass and momentum which are solved using a common Finite-Volume formulation. The hydrodynamic particle-particle and particle-wall interaction can be calculated by using an overlapping or Chimera grid scheme. With the grid structuring procedure it is possible to use simple and structured grids around the particles and the overall main grid geometry. The particle grids are lapped over the main grid such that they can move independently after each time step without remeshing the whole geometry. The paper gives results for the validation of the code developed for general test cases, for a rotating ellipsoid in simple shear flow, the flow around particles attached to a wall, the motion of a particle in the vicinity of a wall and some results for the flow through a packed bed configuration.     

DISCUSSION ON THE SIF FOR POINTS ON BORDER OF ELLIPTICAL FLAT CRACK INSIDE INFINITE SOLID UNDER UNIFORM TENSION

Using the results of crack surface displacement field in Green-Sneddon’s solution and coordinate transformation,this paper hasderived an expression K_1(x_1,z_1,α)for SIF at any point and at anyorientation on the border of elliptical flat crack inside infinitesolid under uniform tension.As a complement of Irwin’s work,it is shown that for any pointed point on the elliptical border theSIF defined on normal plane takes the maximum value.And it shouldbe pointed out that in some works some idea concerning Irwin’s con-tents is open to question.An expression K_I in terms of polarangle which is more intuitional than centrifugal angle is proposedfor SIF at any point on the elliptical border.     

STABILITY FOR THE EQUILIBRIUM STATE OF CHAPLYGIN’S SYSTEMS

The stability for the equitibrium states of Chaplygin’s systems is considered. Theequations of motion of Chaplygin’s systems and the existence conditions of their equilibrium states are given. Some criteria of stability for the equilibrium.states of Chaplygin’s systems are obtained. Two examples are finally given.     

ON THE CRITERION FOR THE ABSOLUTE STABILITY OF THE CONTROL SYSTEM

In this paper,firstly we give the criterion for the absolutestability of the second canonical form for the control system,in-cluding.the equation of the longitudinal motions of a plane as aparticular example.The corresponding result in[8],[9]is a par-ticular example given in this paper.Secondly,we give the criteriafor the absolute stability of the first canonical form in the usualcase and in the critical case.Finally,we give some criteria forthe absolute stability of the general form for the direct controlsystem.All the results in this paper merelg depend upon the relationsbetween the parameters of the system itself to give an explicit al-gebraic discriminant.     

RESEARCH OF THE PERIODIC SOLUTION FOR A CLASS OF NONLINEAR DIFFERENTIAL EQUATIONS

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A NOTE ON THE COMPLETENESS OF HU HAI-CHANG’S SOLUTION

In this paper it is showed that Hu Hai-chang’s solution for the isotropic is complete incase of regions convex in z-direction.     

THE SIZE EFFECT ON THE DISPERSION OF A PARTICLE IN A HOMOGENEOUS ISOTROPIC TURBULENCE

The mechanism of the response motion of a suspended particle to turbulent motion ofits,surrounding fluid is different according to size of turbulent eddies.The particle isdragged by the viscous force of large eddies.and meanwhile driven randomly by smalleddies.Based on this understanding,the dispersion of a particle with finite size in ahomogeneous isotropic turbulence is calculated in this study.Results show that there aretwo competing effects:when enhanced by the inertia of a particle,the long-term particlediffusivity is reduced by the finite size of the particle.     

ON THE APPLICATION OF GENERALIZED INVERSE FOR COMPUTING EIGEN-SENSITIVITY

In this paper the mathematical definition of the minimum energygeneralized inverse is given and its application for computing eigen-sensitivity isdemonstrated.By comparing it with the others,this paper clarifies the merits of thepresent algorithm.Furthermore,an erroneous relation which is still widely used isrectified.     

ON LIAPOUNOFF’S METHOD IN THE THEORY OF STABILITY OF LAMINAR FLUID FLOWS

In[1]Zhou extended some Liapounoff‘s theorems of the theory of stability in the case of plane laminar fluid flows.In[2]Zhou and Li investigated the eigenvalue problem and expansion theorems associated with Orr-Sommerfeld equation,and obtained some new results.In this paper,based on the results of[1]and[2]we shall prove:(1)For the linearized problem the definition of stability according to the eigenvalues of Orr-Sommerfeld equation and that according to the perturbation.energy are equivalent;(2)The method of linearization is admissible for the stability pro-blem of plane laminar fluid flows for sufficiently small initial disturbance.     

ON THE METHOD OF ORTHOGONALITY CONDITIONS FOR SOLVING THE PROBLEM OF LARGE DEFLECTION OF CIRCULAR PLATE

In this paper,we reexamine the method of successive approximation presented byProf.Chien Wei-zang for solving the problem of large deflection of a circular plate,and findthat the method could be regarded as the method of strained parameters in the singularperturbation theory.In terms of the parameter representing the ratio of the centerdeflection to the thickness of the plate,we make the asymptotic expansions of thedeflection,membrane stress and the parameter of load as in Ref.[1],and then give theorthogonality conditions(i.e.the solvability conditions)for the resulting equations,bywhich the stiffness characteristics of the plate could be determined.It is pointed out thatwith the solutions for the small deflection problem of the circular plate and theorthogonality conditions,we can derive the third order approximate relations between theparameter of load and the center deflection and the first-term approximation of membranestresses at the center and edge of the plate without solving the differential equ     

FURTHER RESEARCH ON THE BENDING OF THE CANTILEVER RECTANGULAR PLATES UNDER A CONCENTRATED LOAD

In this paper we apply the reciprocal theorem to further research on the bendingproblem of the cantilever rectangular plate under a concentrated load acting atany of its points.This method is even simpler and more general.     

ON THE MODIFIED CASTIGLIANO’S THEOREM

This paper gives the modified Castigliano’s theorem, which is more convenient and more extensive for applications than the classical Castigliano’s theorem.The modifications to the classical Castigliano ’s theorem are in following two respects, the first respect is that the expression of the partial derivative with respect to the concentrated load p of the complementary energy density in the clasical Castigliano ’s theorem is replaced by the expressions with teh products of the external loads and influence functions, the modification brings us greatest simplicity and greatest convenience for calculations under various loads; the second respect is that the expressions with the products of the inhomogeneous boundary displacements and the influence functions are introduced into the classical Castigliano’s theorem, the modification provides the theoretical fundamental for solving the problems of various boundary conditions.We show also the method of how to apply the modified Castigliano’s theorem to solve the problems of the surface structural mechanics.Finally, as a calculated example of the applications of the modified Castigliano’s theorem we solved the equation of the deflection surface of the rectangular plate with two adjacent edges built-in and other two adjacent edges free.     

RESEARCH ON METHOD TO CALCULATE VELOCITIES OF SOLID PHASE AND LIQUID PHASE IN DEBRIS FLOW

Velocities of solid phase and liquid phase in debris flow are one key problem to research on impact and abrasion mechanism of banks and control structures under action of debris flow. Debris flow was simplified as two-phase liquid composed of solid phase with the same diameter particles and liquid phase with the same mechanical features. Assume debris flow was one-dimension two-phase liquid moving to one direction, then general equations of velocities of solid phase and liquid phase were founded in two-phase theory. Methods to calculate average pressures, volume forces and surface forces of debris flow control volume were established. Specially, surface forces were ascertained using Bingham's rheology equation of liquid phase and Bagnold's testing results about interaction between particles of solid phase. Proportional coefficient of velocities between liquid phase and solid phase was put forward, meanwhile, divergent coefficient between theoretical velocity and real velocity of solid phase was provided too. To state succinctly before, method to calculate velocities of solid phase and liquid phase was obtained through solution to general equations. The method is suitable for both viscous debris flow and thin debris flow. Additionally, velocities every phase can be identified through analyzing deposits in-situ after occurring of debris flow. It is obvious from engineering case the result in the method is consistent to that in real-time field observation.     

RESEARCH ON THE COMPLICATED DYNAMICAL BEHAVIORS OF NONLINEAR ECOSYSTEMS(Ⅱ)

This paper is a further study of reference[1].In this paper,we mainly discuss thecomplicated dynamical behaviors resulting from a simple one-dimensional model ofnonlinear ecosystems:fixed point motion,periodic motion and chaotic motion etc.,andbriefly discuss the universality of the complicated dynamical behaviors,which can bedescribed by the first and the,second M.Feigenbaun.constants.At last,we discuss the“one-side liowering phenomenon”due to near unstabilization when the nonlinear ecosystemapproaches bifurcation points from unbifurcation side.It is of important theoretical andpractical meanings both in the development and utilization of ecological resources and inthe design and management of artifitial ecosystems.     

GENERALIZED TRANSFER FUNCTION OF CONTROL SYSTEM AND AN IMPROVEMENT ON THE DECISION METHOD OF MOVEMENT STABILITY

In this paper the definitions of generalized transfer functios of control system and itscontinuity are presented.Using generalized transfer function as a tool,a set of theorems fordeciding movement stability have been constructed.Thus basing understanding of thecharacteristics of a control dynamics system on its measured procedure will simplify thedecision method of movement stability problems.