THE GENERAL FORMULAS OF SHAPE FUNCTIONS FOR THE HIGHER SERENDIPITY ISOPARAMETRIC ELEMENTS WITH VARIABLE NODES

In this paper,the united method for determining shape function is extended to higher Serendipity soparametric element with variable nodes,and the general formulas of shape functions for the element is obtained.The formu-las show great superiority for the Serendipity isoparametic transitional elements.     

THE INSERTING SYNTHETICAL METHOD FOR COMPILING NETWORK STATE EQUATION

This paper begins with the analysis of factors affecting the esta-blishmet of network state equations. On the basis of characteristics of networkclement, a rational formntation order of elements as twigs and links is proved.According to the order, a best tree can be drawn, which is helpful to for-mulate state equations, Two examples are enumerated On the basis of the besttree, topological equations of network are written. By inserting operationswith both topological equations and characteristic formulas, a standard stateequation is derived as a result of eliminating the undesired variables. Thismethod is simpler and more convenient as compared with the others in theand has advantage of both the topological method and the direct operations,method.     

THE DETERMINATION FOR SHAPE FUNCTIONS OF ISOPARAMETRIC TRANSITIONAL ELEMENTS WITH MOVABLE NODES

This paper applies the covering method to the isoparametrictransitional elements of movable boundary nodes.The general shape functionormulas for quadrilateral elements and a convenient method to calculate the local node coordinate parameters are also introduced.The general formulas can be extended to space hexahedron elements.     

Flexure-torsion Analysis of Variable-curvature-box Girder Considering Non-coincidence of Torsion Center and Gravity Center

In order to consider the effect of non-coincidence of torsion center and gravity center,the rectangular variable-curvature-box girder with vertical symmetrical axis is studied. Considering the influence of shear deflection and non-coincidence of torsion center and gravity center, the elastic equilibrium formulas are established. Based on deformation equations of the girder and the relations of inner forces and deformations,the flexure-torsion differential equations are developed. The equilibrium differential equations and Galerkin methods formulas for clothoid curved box girder are presented.     

The Elimination of Deformation Coupling in Thin Wall Composite Material Rod with Closed Section

Under the condition that normal stress and shear stress are coupled in constitutive equations,a set of displacements which depend on geometric and physical properties of a thin wall rod is specially designated to minimize the coupling of basic deformations in control equations,and general forms to describe self balance system of internal forces are proposed with the model given by the present paper.     

Analysis on Interfacial Stress Between Surrounding Rock and Shotcrete Lining

According to the characteristics of interfacial stress between surrounding rock and shotcrete support, mechanical model of composite curved beame for support system of tunnel surrounding rock and shotcrete lining was established, considering the interfacial deformation coordination and the effects of bearing arch of surrounding rock. Then from static equilibrium of two differential elements, the differential equations for the radial displacement of composite curved beam were obtained. All analytic formulas of both interfacial stress and internal forces between surrounding rock and shotcrete lining by arbitrary distribution load were derived. And thus the mechanical condition of interface zone and the stress concentration position were obtained, which is convenient to assess the stability of surrounding rock and predict the safety. Finally, the analysis of tunnel project excavated by bench method showed that shotcrete lining made the formation of compressive stress zone in surrounding rock by transferring stress from the interface between surrounding rock and shotcrete, which is beneficial to improve the stability of surrounding rock.     

THE CALCULATION OF FLOW USING SEMI-IMPLICIT METHOD FOR PRESSURE-LINKED EQUATIONS

This paper briefly introduces Patankar-Spalding Method, which is systematical, active and widely applicable in numerical heat transfer and fluid flow. The corresponding dependent variables, diffusivities and source terms for the general differential equations under all circumstances are explained. By using this method the calculation of two-dimentional Poiseuiue Flow and Couette Flow compared with exact solutions are proved to be high precision. with two-dimentional path-flow in the heat convertor intersification devices as an example, the tilted method is used with FORTRAN 77 programming, and the calculation is done on a SIEMENS 7570c minicomputer.     

Boundaty Element Method for Analysis of Thick Plates on Two- Parameter Elastic Foundations

This paper discusses the Reissner's plates on elastic foundation.The elastic foundation is considered as two- paramerer and its effect to thick plates are taken into account by a set of govering differential equations. According to the foundamental solutions for bending problem on two- parameter foundation derived, three boundary integral equations denoted by generalized displacement functions are established. This method is suitable to solve the bending problem of thin or thick plates on two- parameter foundation with arbitary boundary condition, arbitary shape and arbitary load conditions     

THE FOUR-MOMENT RELIABILITY ANALYSIS METHOD FOR PERFORMANCE FUNCTION IMPLICIT STRUCTURE

In this paper,the four-moment reliability analysis method for perfopmance function implicit structure is discussed. Discrete formulas expressed by Gauss-quadrature are presented when determine the parameter of probability density function which is established based on maximum entropy theory. The method in this paper is proposed for performance function implicit structure. Particularly, the discrete formulas used in this paper largely reduce calculating work with the same precision, so that the time-consume problem of four-moment reliability anlaysis is solved.     

Method of Computing Sinusoidal Steady-state Solutions of Lossy Uniform Transmission Lines

There is no universal method of finding the analytic solutions to transmission lines discribed by partial differential equations,so many researchers are studying and developing transmission line theories.Computing steady-state solutions of uniform transmission lines is one part of the study.The paper introduces another method of computing sinsoidal steady-state solutions of lossy uniform transmission lines.First,the complex expressions of voltage and current with zero initial state are obtained from the complex frequency-domain model of lossy uniform tansmission lines.The network functions,which are the ratios of voltage and current's image functions to the excitation's image function,can be found from the complex expressions.Sinusoidal steady-state solutions can be obtained by using the relation between network function and system's frequency characteristic.Finally,the method is demonstrated to be effective by an example.     

PROPERTIES OF HOMOGENEOUS FUNCTION AND ITS APPLICATIONS

This paper proves some properties of homogeneous function. Mainly, it proves that a sufficient condition of a parahomogeneous function is a subhomogeneous function. From which the relations of homogeneous function and partial derivatives of its respective variables are obtained. By these properties, this paper finally solves spcial first order total differential equations and obtains the quadrature of total differential of some function with n-variables. The obtained method of solution is simpler than usual one.     

ORTHOGONAL COLLOCATION METHOD AND IT APPLICAIONS IN THE CALCULATION OF DYNAMIC CHARACTERISTICS OF HEAT EXCHANGER

Being a kind of MWR, the orthogonal colloacation method can be conveniently used to reduce the initial-boundary value problems of the partial differential equations to initial value problems of ordinary differential equations. In this paper, the orthogonal collocation method is introduced in detail and by using it the dynamic characteristics of a steam-water heater are investigated.     

A Numerical Method for Transmission Line Equations

Transient analysis of transmission line has recently been received more attention because operating speeds in high-speed digital electronics are increasing. Transmission line equations are hyperbolic partial differential equations, firstly this paper deduces how to change transmission line equations into quasilinear differential equations , thus the transmission line equation numerical result is gotten by computing the differential formation of quasilinear differential equations. The constraint of voltage and current is be considered and lumped equivalent circuit mode at boundary network collaborated at the same time in finding boundary conditions. Finally the paper computes transient response of transmission line with two typical boundary conditions. Numerical result shows that this approach is an effective way. It is explicit algorithm with less CPU consumption which can get time field response directly. The agree-upon effective way does be frequency field method, however it could not get time response unless the numerical inverse laplace transformation (NILT) be introduced. Thus this approach is more effective than FFT algorithm.     

Four-node Membrane Element of Vector Form Intrinsic Finite Element for Large Deformation Analysis of Membrane Structures

Based on fundamental principles of the vector form intrinsic finite element (VFIFE), the basic formulas of 4-node quadrilateral membrane element were first derived in this paper. The procedure for the determination of pure nodal deformation through reverse movement was elaborated, and the method for the calculation of internal nodal forces through deformation coordinate system was presented. Feasible approaches were also proposed for several issues for 4-node membrane element, including the location statuses and the numerical integration for internal forces. A computer program of 4-node membrane element was developed. By the analysis of the numerical example, the correctness and validity of the membrane element theory and the computer program were verified. Then the approach was applied for more analysis of large deformation and large rotation problems of membrane structures, including cushion inflating and cloth draping.     

Small Deformation Analytical Solution of Spatial Curved-rods in Natural Coordinate System

Natural coordinate system along the axis of a curved -rod is used to describe the static problems in small deformation, and virtual work equation is in turn utilized to derive the geometric equations of the problems. The general solution of internal forces and general displacements in the matrix form with 6 integral constants are given out, without the assumption of plane cross - section.     

ANALYSIS OF NONLINEAR PROBLEMS OF LAMINATED PLATES BY USE OF PERTURBATION AND WEIGHTEDRESIDUAL METHOD

This paper solves the geometrically nonlinear problems of symmetric, cross-ply laminated anisotropic rectangular plates subjected to uniformly distributed load by the higher-order shear deformation theory and taking an advantage of the perturbation and the weightedresidual method. First, with the help of the perturbation, the nonlinear partial equations have been changed into linear ones. This paper can solve these linear ones by the weighted-residual method. The combination of quintic B-spline functions are chosen as the basis of trial function and Dirac delta functtion, the weighted function. The method used in this paper is simple, direct and efficient. The numerical results show a good convergence and they are in good agreement with the available data.     

Galerkin Approximate Solutions of Displacement Including the Effect of Dead Loads for Two Kinds of Rectangular Plates

Based on the strain energy considering the effect of dead loads, the general form static equilibrium differential equations were formulated by means of the potential energy principle. The approximate solutions of live load or later load displacement including the effect of dead loads for the clamped rectangular plate and the simply supported rectangular plate were generated by the Galerkin method. These formulas are simple and clear, and their physical concepts are explicit. The correctness of these formulas was verified by the finite element method. The dead loads and other factors that influence the effect of dead loads are shown by these formulas. The effect of dead loads on the two different boundary condition rectangular plate were analyzed by these approximate solutions. The effect of dead loads improves the bending stiffness of plate and minimizes the displacement of live loads or later loads. The key physical factors governing the effects of dead loads on plates are the dead load, the ration of span to thickness and boundary condition etc. This effect of dead loads is not negligible, especial in thinner plates or plates with smaller stiffness, more attention should be paid to the effect of dead load in the calculation and analysis for plates.     

THE EVALUATING METHOD ABOUT LUMINOUS ENVIRONMENT IN BUILDINGS

This paper suggests that using best solar energy and advancing visual performance,a new evaluating method may be put that is about luminous environment.It not only recommends twelve parameters(targets),considering luminous environment and sky light climate but also luminary,heating,lowering temperature,psychology and physiology,ect.in accordance withyear's effect of daylighting.On the basis of different sky lighting climate areas and main uses of buildings.We use with a considerable weight factor that is satisfied with a basic function.Then by fuzzy multiple criterion,the distinct result about luminous environment in buildings is obtaoned.     

ANALYTICAL SOLUTION OF RING SHELL LINING WITH ANNULARLY VERTICAL WALLS MADE CONTACT WITH SURROUNDING ROCK

In this paper,the ring shell lining with annularly verticalwalls made contact with the surrounding rock is considered as a combinationstructure formed of ring shell,inner and outer annular barrels on elastic fo-undation.The complex equation and its solutions of ring shell under deadload of lining and vertical and horizontal surrounding rock pressures are de-rived by the method of complex function.The governing equation and itssolution of the barrels on elastic foundation are also derived by theory ofcylindrical shell.And then,the ring shell lining is assembled by the subst-ructures by means of compatibility conditions of internal forces and defor-mations between them.In the paper,all formulas for the practical computa-tion in engineering are derived,the numerical examples are given and theeffects of the parameters of the lining on the work behaviours of lining alsoare discussed preliminarily     

The Internal Force Calculation of the Whole-Raising-Scaffold

Because of the different configurations of buildings to be constructed, the arrangement of the whole-raising-scaffold used for practical construction is not always the same, which results in difference of the internal force of the whole- raising-scaffold in application. Based on the abovementioned, in this paper, the design method of the whole-raising-scaffold is investigated, a mechanical model based on the three-span continuous beam is set up, the mechanical characteristics due to the action of various load of the whole-raising-scaffold under the worst working condition is analyzed. Then the calculating method for the internal force of its main structure can be found. Combining the internal force calculated by this method, the security of the scaffold can be verified. The method introduced by this paper can be used as a general method for the scaffold design.