The Element Flexibility Matrix of Thin-walled Beam and Its Application

In this paper, the calculation of the space deformation of thin-walled element by "dynamic coordinate method" is explained in detail through an example. The thin-walled element with different shear-centers on one section is analyzed and calculated by this method as well, then, the element flexibility matrix is presented. Some difficulties in calculation of thin-walled structures with "plane bending theory" and "constrict twist theory" are overcome, showing the advantages of this method.     

Non-linear finite element analysis based on the spatial catenary cables

According to the elastic catenary theory,this paper derives the spatial catenary cable element from the exact analytical expression,which is used for finite element analysis of the structure.It deduces the precise expression of two-node cable element tangent stiffness matrix and the tension of cable end.The equivalent node load of cable element is expressed by the total load algorithm,and the non-linear equation is solved by double Newdon-rapson method.The proposed non-linear semi-analytical finite element method based on spatial catenary cable element can take full account of the impact of non-linear geometry.The initial configuration and the internal forces on any directional spatial loads can be solved.The example shows that the calculation method is accurate and effective.     

The Finite Element Method for Frame Structure with Fuzzy Elastic Connections

The connections of frame structure elements at a node are ofen an elastic connection between hinged and rigid.In this paper,the stiffness matrix and the loading transfer matrix of frame element with turn elastic connections is deduced,the cross shear effect has been taken into consideration simultaneously.The stiffness matrices of some bar elements,such as both ends of the bar are hinged or rigid and one end is hinged but the other is rigid,are special cases of the stiffness matrices presented in this paper.After pointing out that the elastic coefficient at a node of a bar element with elastic joint is really a fuzzy quantity,the fuzzy stiffness matrix of the bar element is obtained,and a solution to structural fuzzy finite element equilibrium equations is presented.The fuzzy solution obtained from above is not only containing the solution of ordinary finite element method but also providing some additional informations with practical value.[WT5HZ]     

The Finite Element Simulation of Pipe Bend Forming

A dynamic explicit finite element method is used to pipe bend forming processes on bender in this paper.The degenerated shell element and co-rotational coordinate system are employed.The material of pipe is assumed to satisfy Hill's anisotropic elasto-plastic yield condition.The bend die and press die are assumed as rigid surfaces and the contact force is computed by penalty method.Several numerical examples are given.They show that this method is effective.     

Probabilistic Seismic Damage Analysis of Inelastic Structural System

A novel numerical model for seismic damage analysis of inelastic two degree of freedom (2DOF) system under bi directional excitations was developed by taking the strength degradation, stiffness deterioration and pinching effect into account. The influences of bidirectional excitations, strength degradation, stiffness deterioration and pinching effect on statistical characteristics of seismic damage index of inelastic 2DOF system were investigated using 69 selected earthquake records. The results show that seismic damage index of inelastic 2DOF system can be described as either the Lognormal or the Frechet distribution variable; the seismic damage index of inelastic 2DOF system can be approximated by the square root of sum of square (SRSS) of seismic damage index of single degree of freedom (SDOF) system; an decrease in post yielding stiffness or consideration of strength degradation, stiffness deterioration and pinching effect may increase the seismic damage index remarkably.     

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.     

Similar Boundary Element Method in Elastodynamics

For the boundary element method of elastodynamics, some properties of matrices are discussed in case of similar boundary elements and the similar boundary element method is presented. In a series of similar boundary elements, when the corresponding matrices of a boundary element are obtained, the ones of other boundary elements in the series can be obtained by proportion. Then the coefficient matrix of the last system of linear algebraic equations can be obtained by the method of superposition. Compared with the general boundary element method, the computing speed can be raised by the similar boundary element method given in this paper.     

Transmission model of higher-order elliptical bevel gearing and motion simulation for interference checking

Higher-order elliptical bevel gear is a typical form of the noncircular bevel gear transmission.Space spherical coordinate system of the bevel gear meshing is set up based on the meshing theory of space transmission.The varying relationship among the pitch curve,tooth profile and mesh lines are analyzed,and the equation of the gear tooth surface is developed with matrix method based on space coordinate transformation.The basic parameters of the noncircular bevel gear such as transmission ratio,modulus and the number of teeth are designed,and detailed analysis of the influence of the eccentricity on the relevant parameters is carried out as well.By using discrete numerical method and three-dimensional software,the mathematical model of the tooth profile and virtual physical model of the noncircular bevel gear are established,and then simulation on its motion and interference checking are performed.Finally,the approach for design,calculation and generation of the tooth profile is obtained and its correction has been verified by experiment.     

Finite Element Analysis of Spatially curved Rods

A system of governing equations for spatially curved rods are derived in natural coordinate,and an analytic solution to the statically determinate problem is given.Based on the solution,a generalized displacement model for element of curved bars is developed,which is convergent and accurate.     

Transfer Matrix Solutions for Multi layered Soils in Rectangular Coordinate System

Starting with the governing equations of three dimensional elasticity problems in rectangular coordinate system, constructing a decoupled transform and getting the uncoupled state equations; the transfer matrix of a single soil layer is obtained by employ     

The influence of sensitive gate structure parameters of strain gauge on measurement accuracy

The systematic error of resistance strain sensor is caused by strain transmission error that differs with different parameters of the sensitive gate structure in the measurement process. The paper establishes a measure model that is made up with a cantilever beam(the measured matrix),the binder and some strain wires, then studies the influence of different sensitive gate structure parameters on the measurement result using finite element method(FEM)and the effectiveness of FEM is validated by a comparison with experimental results at the end. The results of the FEM analysis show that in the matrix strain passing the gate length and the gate spacing have intermediate optimal values,and that the smaller the grid diameter is,the smaller the strain transmission error becomes. Besides,the relative errors corresponding to different structural parameters are also given based on the FEM analysis,which provide effective reference for the selection of structural parameters and the appropriate error compensation in the process of measurement.     

虚拟关节臂式坐标测量机模型的构建与验证

关节臂式坐标测量机的测量误差受到众多因素的影响,且由物理构件带来的误差无法被消除。为此,笔者旨在构建一种虚拟关节臂式坐标测量机。首先,采用D-H矩阵建立其运动学模型,其次,利用PC-DMIS测量软件分析测量机数据并对模型的精确性进行检验,最后使用蒙特卡罗法和测量机模型完成仿真测量。通过与实际参数构建的模型、制造商参数构建的模型相对比,可知所构建测量机模型的测量精度能够满足要求。仿真结果表明提出的模型构建与验证方法对坐标测量的应用具有较高的工程价值。     

AN IMPROVED MIXED FINITE ELEMENT METHOD OF ANALYZING THREE-DIMENSIONAL ELASTIC CONTACT PROBLEMS

This paper presents an improved mixed finite element method of analyzing elastic contact problems, in which a new numerical algorithm is developed to calculate the flexibility matrix of the contact region. With this method the contact problem of two teeth-engaging is initially solved as a three-dimensional elastic finite element analgsis, In comparison with mixed fimte element method, the improved mixed finite element method is much more efficiency in solving contact problems.     

Elemental Stiffness Matrix of Thin-walled Beam and Its Application

In this paper, according to the conception of rotation of the section orthographic projection around a fixed axis, the element stiffness matrix of thin-walled beam is directly deduced and the direct stiffness method is used to solve the continuous beam problem with different shear centers on one section. It is suggested through an example that when the element flexibility matrix and force method are used to solve the same question, the same answer will be gained, but the method used in this paper is simpler.     

Graphic Transfer Technique Applied in the Grinding Robot

The Graphic transfer technique applied in control software of a profile-followed robot for grinding turbine surface is described. Projection transformation in any axis of 3D camber on a display coordinate is realized by using homogeneous transfer matrix, which provides user with visual information of grinding and processing. 2D graphic linear transfer technique is used to provide user with uniform NC programming format and to carry out 2D grinding process for 3D profile. 3D non-linear transfer technique is successfully used to solve a series of difficult problems including coordinate transfer of controlled points in multi-coordinate system, the attitude adjustment of grinding and constant pressure grinding. All the mathematics methods used are demonstrated in practice feasible and efficiently.     

Foundation pile test by self-balanced method of rock-socketed piles and friction piles in multilayer soil geological structure

结合检测工况对测试数据的影响,对自平衡“精确转换法”进行改进,提出摩擦桩位移协调转换法和嵌岩桩的荷载协调转换法,实际应用结果说明两种转换方法合理。所得测试结果表明湄公河大桥桩基承载力符合设计要求;分析湄公河大桥试桩的侧摩阻力和端承力分布,嵌岩桩和摩擦桩纵向承载均以侧阻力为主。     

Object-oriented FEM Program for Three-dimensional Convection Diffusion Problems

According to an analysis of three-dimensional convection diffusion problems and object-oriented programming method,the classes of finite element models for convection diffusion problems are designed in C++.There are vector classes,matrix classes,element classes,material classes and method classes of finite element among these classes.On the basis of these classes,an object-oriented finite element program for three-dimensional convection diffusion problems is accomplished,which is able to simulate similar problems.The program's reuse,maintenance expansion and integration with other ones are easier than traditional ones which are designed with structural language,it can be applied to a large universal computational software for science and engineering.     

Sub-structural Method of FEM by the Object-Oriented Program

Some paper have presented the abstract element class of FEM, which the specific element class such as the triangle Element,the quadrilateral Element can be derived from. The substructure is the specific element class as the class derived form the abstract element class. The Object-Oriented FEM needs changing rearly when the sub-structural function is added to it. The Choleshi's disintegration of the sub-structural stiff is done and using the resolved triangular matrix many times can greatly reduce the work of the cohering matrix. The definition of the substructure class and the comparison between the sub_structural method and the normal method.     

Evaluation of the Energy Release Rate of Three-point-bending Beam Using Finite Element Method

Calculation of the energy release rate with finite element method (FEM ) is conducted. The concrete beam model is meshed using a method without need of considering the crack-tip singular element. Two columns of nodes, which belong to the right-and left-parts of the beam, respectively, are generated on the central line of the model and released one after another in a proper sequence. Energy release rate is evaluated based on the virtual crack closure technique. Comparison between the calculated values and theoretical values is made, which shows that they are in good agreement.