THE DISPLACEMENT WAVE THEORY OF BLOOD VESSEL

On the basis of the medical and mechanical analysis and explanations in this paper thevisco-elastic simply supported beam model is proposed to treat the displacement wave of theblood vessels.The relationships between the displacement wave and blood vessel elasticityas well as the viscous dissipation of the blood and blood vessel are obtained.Thecorresponding relations of such kinds of pulses in the traditional Chinese medicine assmooth pulse,surface pulse and deep pulse to the displacement waves of blood vessels arealso found.The computational results are in good agreement with those acquired in theexperiments with ultrasonic wave.     

SOME COMMENTS ON THE ORIGINAL KALUZA-KLEIN THEORY

In this note the basis of the Kaluza-Klein theory is examined critically and it is pointedout that the five-dimensional version can’t work in the way that was originally intended.Thereason why the problem was not noted originally is elucdated.     

CONSOLIDATION THEORY OF UNSATURATED SOIL BASED ON THE THEORY OF MIXTURE(Ⅱ)

The present paper uses the mathematics model for consolidation of unsaturatedsoil developed in ref.[1]to solve boundary value problems.The analytical solutionsfor one-dimensional consolidation problem are gained by making use of Laplacetransform and finite Fourier transform.The displacement and the pore water pressureas well as the pore gas pressure are found from governing equations simultaneously.The theoretical formulae of coefficient and degree of consolidation are also given inthe paper.With the help of the method of Galerkin Weighted Residuals,the finiteelement equations for two-dimensional consolidation problem are derived.A FORTRANprogram named CSU8 using8-node isoparameter element is designed.A plane strainconsolidation problem is solved using the program,and some distinguishing features onconsolidation of unsaturated soil and certain peculiarities on numerical analysis arerevealed.These achievements make it convenient to apply the theory proposed by theauthor in engineering practice.     

THE PROPERTIES AND APPLICATIONS OF THE INTEGRATING FACTOR IN THE OUALITATIVE THEORY OF ORDINARY DIFFERENTIAL EQUATIONS

In this article, we indicated that all the problems. such as theclassification of the singular point and the determination of thestability of limit cycle, can be solved by the application of the in-tegral factor. Especially we gave a criterion for deciding the cen-ter and the focus, Which is appropriate for the singular point ofthe first order as well as that of the higher order.In the qualitative theory of ordinary differential equations,allthe problems, such as the classification of singular point of thefirst order and higher order, and the determination of stability oflimit cycle, are important problems to be solved by different ways,the distinction between a focus and a center of singular point of thehigher order is an unsolved problem. In this paper, we show that allthe problems mentioned above can be solved by the use of the integra-ting factor. A criterion is given to decide the center and the fo-cus, and this criterion is applicable to the singular point of thefirst order as well as the higher o     

THE APPLICATION OF DIRAC MATRICES AND PAULI MATRICES FOR THE THEORY OF PLASTICITY

We are primarily concerned in this paper with the problem of plasticity. The solution ofthe problem of stress-increment for plasticity can be put into extremely compact form byfamous Dirac matrices and Pauli matrices of quantum electrodynamics.     

A PERTURBATION SOLUTION IN THE NONLINEAR THEORY OF CIRCULAR PLATES

In this paper,we analyzed some problems of non-linear circular plates by means of perturbation me-thod.The perturbation parameters chosen here areobtained from solving the equations and are not cer-tain mechanical quantities given precedently.Thisis an extension of W.Z.Chien’s perturbation method,Which uses the central deflection as the perturba-tion parameter.     

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.     

A GASEOUS SHOCK WAVE THEORY OF THE GALACTIC SPIRAL STRUCTURE

In this paper, the galactic spiral structure is studied bythe galactic shock wave of interstellar gas with self-gravita-tion. The perturbed gravitation of stars is not a necessarycondition for the existence of such Shock.It is proved firstof all that there exists solution of local Shock wave even ifthe perturbed gravitation is absent.The condition │ω_(no)│>a isrequired for such solution. The spiral structure can onlg beexplained by the shock solution when the difference of densitybetween the regions of arm and interarm is larger. The granddesign of shock wave with self-gravitation is obtained by theiterative method.The features of shock wave can be analyzedqualitatively in the velocity plane for a special perturbedgravitation Which is used to simulate the self-gravitation.ofinterstellar gas.As the mass distribution in proto-galacticdisk is irregular initially.the grand design of the galacticShock wave was developed by the processes of Winding,growth ofinstability and overlapping of waves.Hence.it giv     

CALCULATION OF THE FUNDAMENTAL SOLUTION FOR THE THEORY OF SHALLOW SHELLS CONSIDERING SHEAR DEFORMATION

In this paper, some formulas are derived for the numerical computation of the fundamental solution obtained in ref [1] and relevant computer methods are also discussed in detail. As an application of the fundamental solution, problems of a concentrated normal force acting on infinite shallow shells having positive, zero and negative Gaussian curvatures are calculated according to the numerical methods given in the paper.     

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.     

EIGEN THEORY OF VISCOELASTIC DYNAMICS BASED ON THE KELVIN-VOIGT MODEL

Using the eigen theory of solid mechanics, the eigen properties of anisotropic viscoelastic bodies with Kelvin-Voigt model were studied, and the generalized Stokes equation of anisotropic viscoelastic dynamics was obtained, which gives the three-dimensional pattern of viscoelastical waves. The laws of viscoelastical waves of different anisotropical bodies were discussed. Several new conclusiones are given.     

NONLINEAR THEORY OF MULTILAYER SANDWICH SHELLS AND ITS APPLICATION (Ⅰ)──GENERAL THEORY

1.Intr0ductionInrecentyears,multilayersandwichshells,duetotheirhighrigidityandlightweight,havefoundwideapplicationinaeronautical,astronauticalandnavalengineerings.Withpropermaterialsforfacingsandcores,theshellsmaypossessshock-mitigating,thermal-insulating…     

ON THE DEGREE THEORY FOR MULTIVALUED(S_ ) TYPE MAPPINGS

I.IntroductionThetopologicaldegreetheoryofmultivalued(s)typemappingshasbeenestablishedbyZhangandChenllj.Tilepresentnoteprovidesafurthercontributioninthisdirection'.Weshallcollstructtinal,proxilllLltivcdcgrcctheoryI'OI'aclassofInultivalucdmappingsofthel'ornlF=L SfromthedolnaillD(L)inarealretlexiveBanachspaceXtoitsdualspaceX*,whereLisacloseddenselydcllned1llaxllllal1llollotolleoperatorandSisab1ultivalucd1flapofclass(S )withrespecttoD(L).OurconstructionisbasedonsuitableapproximationsofL …     

SIMILAR THEORY AND THE APPLICABLE RANGES OF ONE-EQUATION AND TWO-EQUATION MODELS

Here, we are discussing the applicable ranges of one-equation and two-equationturbulence models with the viewpoint of similar theory. The criterions of determining theapplicable ranges of these models are given.     

ANALYSIS OF THE DYNAMIC BEHAVIOR OF A GRIFFITH PERMEABLE CRACK IN PIEZOELECTRIC MATERIALS WITH THE NON-LOCAL THEORY

The dynamic behavior ofa Griffith permeable crack under harmonic anti-plane shearwaves in the piezoelectric materials is investigated by use of the non-local theory.To overcome themathematical difficulties,a one-dimensional non-local kernel is used instead of a two-dimensionalone for the anti-plane dynamic problem to obtain the stress and the electric displacement near thecrack tips.By means of Fourier transform,the problem can be solved with a pair of dual integralequations that the unknown variable is the jump of the displacement across the crack surfaces.These equations are solved with the Schmidt method and numerical examples are provided.Con-trary to the previous results,it is found that no stress and electric displacement singularities arepresent at the crack tip.The finite hoop stress and the electric displacement depend on the cracklength,the lattice parameter of the materials and the circle frequency of the incident waves.Thisenables us to employ the maximum stress hypothesis to deal with fracture problems in a naturalway.     

AN EXTREMUM THEORY OF THE RESIDUAL FUNCTIONAL IN SOBOLEV SPACES W~(m,p)t(Ω)

In the present paper the concept and properties of the residual functional in Sobolev space are investigated. The weak compactness, force condition, lower semi-continuity and convex of the residual functional are proved. In Sobolev space, the minimum principle of the residual functional is proposed. The minimum existence theoreom for J(u)=0 is given by the modern critical point theory. And the equivalence theorem or five equivalence forms for the residual functional equation are also proved.     

COMPARISON OF THE CALCULATIONS OF THREE-CONVOLUTION CIRCULAR ARC CORRUGATED DIAPHRAGMS BY TOROIDAL SHELL THEORY AND BY ORTHOGONAL ANISOTROPY PLATE THEORY

The calculation of elastic deformations of corrugated diaphragms was given by orthogonal anisotropy plate theory, and its result agrees with the experimental results. But it has never been discussed seriously how the number and form of convolutions affect the elastic deformations and stress distributions of anisotropyplate. As a result, adaptable limits of orthogonal anisotropy plate theory cannot be indicated when it is used to calculate diaphragms. It is said that the theory is fairly good for calculating elastic deformations of the diaphragms which have more convolutions. It is also said that the error in calculating stresses is rather large. This paper, by using the toroidal shell theory, presents the calculation of deformationsand stresses of three-convolution circular are corrugated diaphragms both symmetrical and unsymmetrical, compares its result with that of the orthogonal anisotropy plate theory and gives definite adaptable limits of the latter theory.     

GEODESIC PRECESSION IN THE (Ω,A_(ab))-FIELD THEORY

I.IntroductionSupposethata(small)torque-freegyroscopewithspinSmovesa1ongageodesic.ThueSisparallellytransported.TheagreementbetWeentheparalleltransportandthegyroscoPetransportonlyholdsalonggeodesic.Itisknownthatinthecurvedspacetime,paralleltranspotthasdrasticeffectsonthedirectionofavectorandwetherefOreexPectsimilareffeCtsonagyroscoPe.The'correspondingspinpreeessionintheSchwarzschildfieldhasbeendiscussedindetailbyQhanianl'l,Murray13],'andStraumannM,etal.usingdifferentapproaches.Here,inth…     

THE RATIONALISM THEORY AND ITS FINITE ELEMENT ANALYSIS METHOD OF SHELL STRUCTURES

In this paper,a kind of rationalism theory of shell is established which is of differentmechanic characters in tension and in compression,and the finite element numericalanalysis method is also described.     

THE DOUBLE AND TRIPLE VELOCITY CORRELATIONS OF SMALL VORTEXES IN THREE-VORTEX MODEL THEORY AND THE DECAY OF GRID-PRODUCED TURBULENCE

In the three-vortex model theory of turbulence and double and the triple velocitycorrelation functions of small vortexes were employed.In this paper,the double and thetriple velocity correlation functions of small vortexes are further discussed,and theexpressions of some coefficients in the expansions in terms of relative displacement of twopoints are given.Finally,by using these coefficients,the decay of grid-produced trubulenceis calculated.The result of calculations gives good agreement with the experimental data ofG.K.Batchelor and A.A.Townsend.