THE EQUATIONS OF MOTION OF A SYSTEM UNDER THE ACTION OF THE IMPULSIVE CONSTRAINTS

In order to solve the problem of motion for the system withn degrees offreedom under the action of p impulsive constraints, we must solve the simultaneous equations consisting of n+p equations. In this paper, it has been shown that the undetermined multipliers in the equations of impact can be cancelled for the cases of both the generalized coordinates and the quasi-coordinates. Thus there are only n-p equations of impact. Combining these equations with p impulsive constraint equations, we have simultaneous equations consisting of n equations. Therefore, only n equations are necessary to solve the problem of impact for the system subjected to impulsive constraints. The method proposed in this paper is simpler than ordinary methods.     

THE METHOD OF TRANSFORMATION OF THE BOUNDARIES FOR STRUCTURE THE ADMISSIBLE DISPLACEMENTS

In this paper the method of transformation of the boundaries for structure theadmissible displacements with various boundary conditions is presented What is called themethod of transformation of the boundaries is that. first we transform the actual systeminto the basic system and additional boundary forces and displacements on the basis of thesuperposition principle, then apply variational principles to the basic system,finally find thepermissible displacement of the actual system by means of the method of transformation ofthe series.In this paper, we also give mixed energy prinapies under Variation of boundaryconditions. The mixed energy principles as the potential and complementary energyprinciples under variation of boundary conditions are all the chief theoretical fundamentalof the method of transformation of the boundaries.Applying the method of transformation of the boundaries. we form the permissibledisplacements of rectangular plates of plane stress and bending problems with various edgeconditio     

THE RE－EXAMINATION OF DETERMINING THE COEFFICIENT OF THE AMPLITUDE EVOLUTION EQUATION IN THE NONLINEAR THEORY OF THE HYDRODYNAMIC STABILITY

ＴＨＥＲＥ－ＥＸＡＭＩＮＡＴＩＯＮＯＦＤＥＴＥＲＭＩＮＩＮＧＴＨＥＣＯＥＦＦＩＣＩＥＮＴＯＦＴＨＥＡＭＰＬＩＴＵＤＥＥＶＯＬＵＴＩＯＮＥＱＵＡＴＩＯＮＩＮＴＨＥＮＯＮＬＩＮＥＡＲＴＨＥＯＲＹＯＦＴＨＥＨＹＤＲＯＤＹＮＡＭＩＣＳＴＡＢＩＬＩＴＹＬｕｏＪ...     

PREDICTION OF THE VISCOELASTIC PROPERTIES OF THE EQUIVALENT PARTICLE FOR THE INTERCALATED MULTI-LAYER STACK OF NANOPLASTICS

The aim of this paper is to apply the asymptotic homogenization method to deter- mining analytically and numerically the transversely isotropic viscoelastic relaxation moduli of the equivalent particle for the intercalated multi-layer stack of intercalated type nanoplastics.A two-phase multilayered material containing n layers is considered.The matrix is assumed to be an isotropic viscoelastic standard linear body and the reinforcement is assumed to be an isotropic elastic body.Final explicit analytical formulae for the effective elastic moduli of the multilay- ered material are derived first;and then the correspondence principle is employed to obtain the homogenized relaxation moduli of the equivalent intercalated particle.A numerical example is given.Final explicit analytical formulae in the time domain derived here make it convenient to estimate the influence of all the particle parameters of micro-structural details on the effective properties of the equivalent intercalated particle.The results of this paper can also be applied to multi-layer composites.     

COMPUTER SIMULATION OF THE MOTION OF THE BULLET BELT OF AIRPLANE GUN

ＣＯＭＰＵＴＥＲＳＩＭＵＬＡＴＩＯＮＯＦＴＨＥＭＯＴＩＯＮＯＦＴＨＥＢＵＬＬＥＴＢＥＬＴＯＦＡＩＲＰＬＡＮＥＧＵＮＺｈａｎｇＤｉｎｇｇｕｏ（章定国）（ＲｅｃｅｉｖｅｄＭａｒｃｈ１７，１９９５；ＣｏｍｍｕｎｉｃａｔｅｄｂｙＷｕＲｕｉｆｅｎｇ）Ａｂｓｔｒ...     

SOME THEOREMS FOR DETERMINING THE DEFINITENESS AND CHANGEABILITY OF SIGN OF FUNCTIONS AND THE APPLICATION TO THE CONDITIONAL STABILITY OF THE MOTION OF THE AXIS OF A SLEEPING TOP

This paper gives some theorems for determiningthe definiteness and changeabilitg of sign of func-tions as well as the application to the axis of asleeping top.The necessarg and sufficient condi-tion of the conditional stabilitg of the rotion isobtained.Which coincides With that.of the stabilitgof nutation angle and also with that of the stabili-ty of total variables in the equations of cotion.     

THE OPTIMAL POINT OF THE GRADIENT OF FINITE ELEMENT SOLUTION

We consider the first boundary value problem of the second order elliptic equation andserendipity rectangular elements.Papers[2,3,9]proved that the gradients of finite elementsolution possess superconvergence at Gaussianpoint.In this paper,we extend the results inpapers[2,3,9]in the sense that the coefficients of the elliptic equations are discontinuous ona curve S which lies in the bounded domain Ω.     

THE THEOREM OF THE STABILITY OF LINEAR NONAUTONOMOUS SYSTEMS UNDER THE FREQUENTLY-ACTING PERTURBATION

In the paper a theorem on the stability of linear nonautonomous system under thefrequently-acting perturbation has been given and proved on the basis of Malkin＇sTheorem.     

THE IMPROVEMENT OF THE GENERAL EXPRESSION FOR THE STRESS FUNCTION φ OF THE TWO-DIMENSIONAL PROBLEM

In this paper,it is pointed that the general expression for the stress functionφ_0 of theplane problem in polar coordinates is incomplete.The problems of the curved bar with anarbitrary distributive load at the boundries can’t be solved by this stress function.For thisreason,we suggest two new stress functions and put them into the general expression.Then,the problems of the curved bar applied with an arbitrary distributive load at r=a,bboundaries can be solved.This is a new stress function including geometric boundaryconstants.     

THE THEORY OF SIMILARITY AND THE PROFILE OF VERTICAL DISTRIBUTION OF CONCENTRATION OF SAND PARTICLES

In this article,we treat the problem of two-dimensionaluniform steady channel flow of turbid water with theory ofsimilarity.Under the condition of similarity of turbulentfluctuation velocity and fluctuation of concentration ofsand particles,we obtain the profile of the vertical dis-tribution of concentration of sand particles.This profileof vertical distribution of concentration of sand particlesis slightly different from that obtained by diffusion theory,and departs from that obtained by gravitational theory.     

THE GENERAL PROPERTIES OF THE SPHERICAL VORTICES（SV）OF n－TH ORDER AND THE CHAOTIC PHENOMENA AND OF THE ORDERED STRUCTURES OF THE SV OF 3RD ORDER

ＴＨＥＧＥＮＥＲＡＬＰＲＯＰＥＲＴＩＥＳＯＦＴＨＥＳＰＨＥＲＩＣＡＬＶＯＲＴＩＣＥＳ（ＳＶ）ＯＦｎ－ＴＨＯＲＤＥＲＡＮＤＴＨＥＣＨＡＯＴＩＣＰＨＥＮＯＭＥＮＡＡＮＤＯＦＴＨＥＯＲＤＥＲＥＤＳＴＲＵＣＴＵＲＥＳＯＦＴＨＥＳＶＯＦ３ＲＤＯＲＤＥＲＳｈｉＣ...     

THE METHOD OF CONTINUOUS DISTRIBUTION OF SINGULARITIES TO TREAT THE STOKES FLOW OF THE ARBITRARY OBLATE AXISYMMETRICAL BODY

This paper deals with the Stokes flow of the arbitrary oblate axisymmetrical body bymeans of constant density and quadratic distribution function approximation for themethod of continuous distribution of singularities.The Sampson spherical infinite series arechosen as fundamental singularities.The convergence.accuracy and range of application ofboth two approximations are examined by the unbounded Stokes flow past the oblatespheroid.It is demonstrated that the drag factor and pressure distribution both conformwith the exact solution very well.Besides.the properties,accuracy and the range ofapplication are getting better with the improving of the approximation of the distributionfunction.As an example of the arbitrary oblate axisymmetrical bodies,the Stokes flow ofthe oblate Cassini oval are calculated by these two methods and the results are convergentand consistent.Finally,with the quadratic distribution approximation the red blood cell.which has physiologic meaning.is considered and for the first time     

ON THE GLOEAL STABILITY OF THE ROTATIONAL MOTION AND THE QUALITATIVE ANALYSIS OF THE BEHAVIOUR OF DISTURBED MOTION OF A RIGID BODY HAVING A LIQUID-FILLED-CAVITY

This paper is a continuation of[1].In this paper we inves-tigate the distribution of steady motions of the liquid-filled-cavity body,decide the stability of each steady motion and findout the corresponding regions of stability and instability.Be-sides.the behaviour of disturbed motion is analysed qualitatively.     

THE PERTURBATION-ITERATIVE METHOD APPLIED TO THE PROBLEMS OF THE LARGE DEFLECTION OF THE ELASTIC CIRCULAR THIN PLATES

In this paper, we present a perturbation-iterative method for solving certain boundary value problems encountered in the nonlinear theory of elastic circular thin plates. At the same time, with this method, we strictly prove the convergence of the solutions for the large deflection equations of circular plates subjected to certain distributed loads.     

APPLICATION OF THE METHOD OF THE RECIPROCAL THEOREM TO FINDING DISPLACEMENT SOLUTIONS OF CUBES

In this paper the method of reciprocal theorem is extended to find solutions of three-Dproblems of elasticity.First we give the basic solution of the cube with six surfaces fixed as the basic systemand then using the reciprocal theorem between the basic system acted on by unitconcentrated loads and the actnal system with Precribed surface displacements,we finddisplacement solution of the actual system.     

APPLICATION OF THE FINITE PART OF A DIVERGENT INTEGRAL IN THE THEORY OF ELASTICITY

Using the finite part of a divergent integral,we transform Kelyin’s solutions,Boussinesq’s solutions and Mindlin’s solutions in the three-dimensional theory of elasticityinto corresponding solutions in the two-dimensional theory.Besides,its application in planeproblems is also given.     

ANALYSIS OF THE MOTION OF A GYRO-THEODOLITE

With the method of analytical mechanics,this paper studies the motions of a gyro-theodolite under the action of (1) the torque of gravity only,(2)the torque applied by theband suspension.(3)the torque of the band suspension with air damping considered,theequations of motion are then established and their solutions are found.Furthermore,analysis of the law of motion and the behaviour of gyro-theodolite during the orientation ismade.     

ON THE NEW FORMS OF THE DIFFERENTIAL EQUATIONS OF THE SYSTEMS WITH HIGHER-ORDER NONHOLONOMIC CONSTRAINTS

In this paper,the new forms of the differential equations of motion of the systems withhigher-order nonholonomic constraints are obtained at first,and then the equivalencebetween these equations and the known equations is demonstrated.Finally an example isgiven to illustrate the application of our new equations.     

BLOW-UP OF THE SOLUTIONS FOR THE INITIAL-BOUNDARY PROBLEMS OF THE NONLINEAR SCHR?DINGER EQUATIONS

Ｔｈｅｒｅａｒｅｍａｎｙｄｏｃｕｍｅｎｔｓｔｈａｔｄｉｓｃｕｓｓｂｌｏｗ＿ｕｐｏｆｔｈｅｓｏｌｕｔｉｏｎｓｆｏｒｔｈｅｉｎｉｔｉａｌ＿ｂｏｕｎｄａｒｙｖｌｕｅｐｒｏｂｌｅｍｓｏｆｔｈｅｎｏｎｌｉｎｅａｒＳｃｈｒ ｄｉｎｇｅｒｅｑｕａｔｉｏｎｓ,ｓｕｃｈａｓｐａｐｅｒ [1 ] .Ｂｕｔｔｈｅｐａｐｅｒ [1 ]ｈａｓｏｎｅｗｅａｋｐｏｉｎｔ,ｔｈａｔｉｓ,ｉｔｃａｎｎｏｔｕｎｉｔｅｄｉｓｃｕｓｓｉｏｎｆｏｒｂｌｏｗ＿ｕｐｏｆｔｈｅｓｏｌｕｔｉｏｎｓｆｏｒｔｈｅｉｎｉｔｉａｌ＿ｂｏｕｎｄａｒｙｖａｌｕｅｐｒｏｂｌ…     

ON THE UNIFORM BOUNDEDNESS OF SOLUTIONS OF SOME NON-AUTONOMOUS DIFFERENTIAL EQUATIONS OF THE FOURTH ORDER

ＩｎｔｒｏｄｕｃｔｉｏｎＩｎｔｈｉｓｗｏｒｋ，ｗｅｓｔｕｄｙｔｈｅｐｒｏｂｌｅｍｓｏｆｔｈｅｂｏｕｎｄｅｄｎｅｓａｎｄｕｎｉｆｏｒｍｂｏｕｎｄｅｄｎｅｓｏｆｓｏｌｕｔｉｏｎｓｏｆｎｏｎ＿ａｕｔｏｎｏｍｏｕｓｄｉｆｅｒｅｎｔｉａｌｅｑｕａｔｉｏｎｓｏｆ...