VECTOR ANALYSIS OF SPATIAL MECHANISMS PART 1 CONFIGURATION ANALYSIS OF SPATIAL MECHANISMS BY THE METHOD OF VECTOR DECOMPOSITION

In this series of four papers we present pure vectorial methods in establishing the configuration,kinematics and dyna-mics of some of the four-link spatial mechanisms.In Part1,the method of vector decomposition is used to establish the configurations of the R-G-G-R and H-R-G-R mechanisms,respec-tively.     

VECTOR ANALYSIS OF SPATIAL MECHANISM—(Ⅳ)Dynamics of Spatial Mechanisms

The standard dynamical problems of the previous four Spatialmechanisms are here solved by the method of vector equations.Theprocedure is completely independent of the transfer matrices dueto the changes of reference frame from one connecting pair to thenext,as used by Yang and Bagci.     

KINEMATIC ANALYSIS OF THE GENERAL SPATIAL 7R MECHANISM

The displacement,velocity and acceleration analysis of the general spatial7Rmechanism is discussed in this paper.Based on the method proposed in Ref[2].an input-output algebra equation of the16th degree in the tan-half-angle of the output angulardisplacement is derived.The derivation process and computation are considerably simple.Aprogram written in Al language is used to derive the coefficients of displacement equations:therefore the amount of manual work is greatly decreased.The results are verified by anumerical example.The researches of this paper and Ref[5]found a base for establishingan expert system of spatial mechanism analysis in the future.     

VECTOR ANALYSIS OF SPATIAL MECHANISMS——(Ⅲ) Kinematics of Spatial Mechanisms

The instantaneous kinematics for the spatial mechanismsconsidered in Parts1 and2 are established via straightfor-ward vector algebra.     

DYNAMIC ANALYSIS OF LARGE DEFORMATION OF RIGID-VISCOPLASTIC HARDENING SPHERICAL SHELLS IMPACTED BY A MISSILE

This paper studies the dynamic behavior of large deformation of sphericalshells impacted by a flat-nosed missile.By using isometric transformations,thedeformation modes are given.On the basis of Perzyna-Symonds viscoplasticconstitutive equations,the motion equations of the shells are obtained by rigid-viscoplastic variational principle.A comparison made between the numerical resultsand experimental ones indicates that the two groups of results are in conformity witheach other.     

ENERGY RELEASE RATE COMPONENTS ANALYSIS OF LAMINATES WITH EMBEDDED DELAMINATION

This paper is the continuation of the authors' previous investigation inwhich the formula of total energy release rate at each point along the delaminationboundary iS derived by using variational method of moving boundary.In the presentpaper,the analytical model is reformed and the individual components of energyrelease rate are derived in the form of plate theory.The circular delaminationembedded in circular laminates is analysed and some conclusions are obtained.     

PARAMETRIC VARIATIONAL PRINCIPLE BASED ELASTIC-PLASTIC ANALYSIS OF COSSERAT CONTINUUM

A new algorithm is developed based on the parametric variational principle for elastic-plastic analysis of Cosserat continuum. The governing equations of the classic elastic-plastic problem are regularized by adding rotational degrees of freedom to the conventional translational degrees of freedom in conventional continuum mechanics. The parametric potential energy principle of the Cosserat theory is developed, from which the finite element formulation of the Cosserat theory and the corresponding parametric quadratic programming model are constructed. Strain localization problems are computed and the mesh independent results are obtained.     

NONSTATIONARY PANDOM VIBRATION ANALYSIS OF LINEAR ELASTIC STRUCTURES WITH FINITE ELEMENT METHOD

At present,the finite element method is an efficient method for an-alyzing structural dynamic problems.When the physical quantitiessuch as displacements and stresses are resolved in the spectra andthe dynamic matrices are obtained in spectral resolving form,the re-lative equations cannot be solved by the vibration mode resolvingmethod as usual.For solving such problems,a general method is putforward in this paper.The excitations considered with respect tononstationary processes are as follows:P(t) ={P_i(t)}, P_i(t)=a_i(t)P_i~o(t),a_i(t) is a time function already known.We make Fourier transforma-tion for the discretized equations obtained by finite element method,and by utilizing the behaviour of orthcgonal increment of spectralquantities in random process,some formulas of relations about thespectra of excitation and response are derived.The cross power spec-tral denisty matrices of responses can be found by these formulas,then the structrual safety analysis can be made.When a_(i)(t)=1(i=1,2,…,n),the.m     

APPLICATION OF CDF（2,2） TO ANALYSIS OF SUSPENDED SEDIMENT IMAGE

The characteristics of suspended sediment image can be reflected by the coefficients of biorthogonal wavelet transform of CDF（2,2）. Based on the power distribution in different scales, an adaptive algorithm is proposed in this paper, whereby the coefficients are adjusted non-linearly. The particle information can be well retained while the useless background is removed. In this way, satisfactory binary image can be obtained for further analysis of the sediment particle.     

PERTURBATION ANALYSIS FOR THE POSTBUCKLING OF RECTANGULAR ORTHOTROPIC PLATES

In this paper,applying perturbation method to von Kármán-type onlinear largedeflection equations of orthotropic plates by taking deflection as perturbation parameter.the postbuckling behavior of simply supported rectangular orthotropic plates under in-plane compression is investigated.Two types of in-plane boundary conditions are nowconsidered and the effects of initial imperfections are also studied.Numerical results arepresented for various cases of orthotropic composite plates having different elasticproperties.It is found that the results obtained are in good agreement with those ofexperiments.     

FUNDAMENTALS OF TRANSMISSION FLUCTUATION SPECTROMETRY WITH VARIABLE SPATIAL AVERAGING

Transmission signal of radiation in suspension of particles performed with a high spatial and temporal resolution shows significant fluctuations,which are related to the physical properties of the particles and the process of spatial and temporal averaging.Exploiting this connection,it is possible to calculate the particle size distribution (PSD) and particle concentration.This paper provides an approach of transmission fluctuation spectrometry (TFS) with variable spatial averaging,The transmission fluctuations are expressed in terms of the expectancy of transmission square (ETS) and are obtained as a spectrum,which is a function of the variable beam diameter.The reversal point and the depth of the spectrum contain the information of particle size and particle concentration,respectively.     

ANALYSIS OF COMPOSITE LAMINATED PLATES

In the static and dynamic analysis of composite laminates, a theory for the laminated plates is presented in this paper. Because the deflection W_b which is caused by the classical bending deformation and the deflection W_s which is caused by the shear deformation are divided from the total deflection W in the theory, this makes it easy to solve the governing equations. In addition, this theory is convenient for the discussion and analysis of the effects of transverse shear deformations on bendings, vibrations and stabilities of laminated plates.     

BIFURCATION AND STABILITY ANALYSIS FOR LIQUID SURFACES

A more comprehensive discussion on the bifurcation problems for the shape of liquidsurfaces is made in this paper.The necessary conditions for bifurcation are given,and thebifurcating solutions near bifurcation points can be obtained by perturbation technique.Finally the stability of the bifurcating states is analyzed by means of the principle ofminimum potential energy.     

STATIC ANALYSIS OF CABLE STRUCTURE

Based on the nonlinear geometric relation between strain and displacement for flexible cable, the equilibrium equation under self-weight and influence of temperature was established and an analytical solution of displacement and tension distribution defined in Eulerian coordinate system was accurately obtained. The nonlinear algebraic equations caused by cable structure were solved directly using the modified Powell hybrid algorithm with high precision routine DNEQNE of Fortran. For example, a cable structure consisting of three cables jointly supported by a vertical spring and all the other ends fixed was calculated and compared with various methods by other scholars.     

ELASTOPLASTIC ANALYSIS OF CYLINDRICALLY 0RTHOTROPIC COMPOSITE THICK-WALLED TUBE

In the present paper,Tsai-Hill Yield Criterion in a state of plane strain is derived forincompressible and compressible materials respectively The elastoplastic stress anddisplacement fields of cylindrically orthotropic composite thick-walled tube under uniformradial pressure are studied.The formulas of the yield pressure,Iimit pressure and region ofshakedown are obtained.     

THE BLOOD FLOW AND THE MOTION OF VESSEL WALL

The correlation problem between the blood fiow and the motion of vessel wall in the mammalian circulatory system is discussed in this paper. Supposing the blood flow is under the stable oscillatory condition, a set of formulas for velocity distribution, pressure distribution, displacement of vessel wall and constraining stress are obtained. Kuchar's formulas are extended from steady flow to unsteady oscillatory flow by means of the formulas obtained in this paper. The problem of elasticity effect of vessel wall is also discussed.     

VIBRATION ANALYSIS OF A ROD WITH COMPLEX BOUNDARY CONDITIONS

This paper deals with the forced longitudinal vibration ora rod carrying a concentrated mass and supported by a spring at one end. The vibration of the rod is excited by the motion of the support point at the other end Since the boundary conditions of the problem are complex and it is necessary to consider the damping, we determine only the steady state periodic solution. First the linear system is analysed, then the material nonlinearity is considered and the approximate analytic solution of nonlinear partial differential equation with nonlinear boundary conditions is obtained by the perturbation method.     

ASYMPTOTIC EXPANSIONS OF ZEROS FOR KRAWTCHOUK POLYNOMIALS WITH ERROR BOUNDS

Krawtchouk polynomials are frequently applied in modern physics. Based on the results which were educed by Li and Wong, the asymptotic expansions of Krawtchouk polynomials are improved by using Airy function, and uniform asymptotic expansions are got. Furthermore, the asymptotic expansions of the zeros for Krawtchouk polynomials are again deduced by using the property of the zeros of Airy function, and their corresponding error bounds are discussed. The obtained results give the asymptotic property of Krawtchouk polynomials with their zeros, which are better than the results educed by Li and Wong.     

FINITE ELEMENT SYSTEM OF ELASTIC STRUCTURE

The article deals with the problems of controllability.obser-vability and stabilizability of an elastic-structural systemtreated by the finite element method. The results obtained hereagree with that obtained in distributed parameter-system model,nevertheless,they are more convenient than those in carrying outthe computation with a computer, at the same time the method ap-pears much easier than the conventional one. In section one, thesystem’s controllability and observability are studied and someconditions which are easier to be justified by computer are givenIn section two,the problem of stabilizing an elastic object bythe use of linear feedback is fully discussed. As the attainedresults there show that, so far as an elastic-structural systemis concerned,it is possible to assign arbitrary frequencies ofvibration only by the use of displacement feedback. however, itis impossible to stabilize the system while the system is com-pletely controllable. while the velocity feedback can stabilizethe system, b     

ANALYSIS OF CRACK-TIP SINGULARITIES FOR AN INTERFACIAL PERMEABLE CRACK IN METAL/PIEZOELECTRIC BIMATERIALS

By modeling metal as a special piezoelectric material with extremely small piezoelec- tricity and extremely large permittivity,we have obtained the analytical solutions for an interfacial permeable crack in metal/piezoelectric bimaterials by means of the generalized Stroh formalism. The analysis shows that the stress fields near a permeable interfacial crack tip are usually with three types of singularities:r~(-1/2 iε)and r~(-1/2).Further numerical calculation on the oscillatory indexεare given for 28 types of metal/piezoelectric bimaterials combined by seven commercial piezoelectric materials: PZT-4,BaTiO_3,PZT-5H,PZT-6B,PZT-7A,P-7 and PZT-PIC 151 and four metals:copper,silver,lead and aluminum,respectively.The explicit expressions of the crack tip energy release rate(ERR)and the crack tip generalized stress intensity factors(GSIF)are obtained.It is found that both the ERR and GSIF are independent of the electric displacement loading,although they seriously depends on the mechanical loadings.