overview of finite element method pdf

... and durability of the vehicles This research proposes a method that combined both the multibody dynamic system method and the finite element method to evaluate the strength of the truck frame. ... methods. Aim Trang 702 Research method The finite element method Multi-body system Co-simulation Trang 8WHAT IS FEM ?FEM uses math to break complex systems into smaller, simpler pieces, or “elements.” ... Trang 2EVALUATE THE STRENGTH OF THE TRUCK FRAME USING MULTIBODY DYNAMIC SYSTEM AND FINITE ELEMENT METHOD Presenter: Nguyen Duy Quang Huy Lecturer: Ngo Van He Trang

Ngày tải lên: 02/09/2025, 18:40

... flow chart of the design procedure 3 Rigid-plastic finite element formulation The theory and the procedure of the rigid-plastic finite element method, which latter has proven to be one of the most ... without flash using the finite-element method An example of preform design for steel finish forgings of various H-shapes is shown in Fig 1 [1] Conventional closed-die forging of this type is designed ... scheme, using the capabilities of the finite element method, and tested it for preform design in shell nosing The concept of the approach is to trace the loading path of a forming process backwards

Ngày tải lên: 24/11/2016, 18:08

... performance of the proposed procedure 2 Brief of the ES-FEM In ES-FEM, basing on the mesh of elements, we further discretize the problem domain into smoothing domains based on edges of the elements ... NGUYEN-XUAN Department of Mechanics Faculty of Mathematics and Computer Science University of Science, VNU-HCM, Vietnam H ASKES Department of Civil and Structural Engineering The University of Sheffield, ... 10.1142/S0219876213400045 COMPUTATION OF LIMIT LOAD USING EDGE-BASED SMOOTHED FINITE ELEMENT METHOD AND SECOND-ORDER CONE PROGRAMMING C V LE∗ Department of Civil Engineering International University,

Ngày tải lên: 16/12/2017, 00:05

... this extension exploits the partition of unity property of finite elements,which allows local enrichment functions to be easily incorporated into a finite element approx-imation while still preserving ... application of the different kinds of singular elements are welldocumented in[8–10] The most popular singular element is the eight-node quarter-point element orthe six-node quarter-point element ... centroid of another adjacent singular element; (4) the 1/8-centroid-point of the second adjacent singular element; (5) the edge-point; (6) the 1/8-centroid-point of the first adjacent singular element;

Ngày tải lên: 16/12/2017, 03:43

... the element, but isdifferent in the aspect of lack of collocation points The DSG Trang 2method is therefore independent of the order and form of theelement On an other front of development of finite ... element nology, Liu et al have combined the strain smoothing tech-nique [19] used in meshfree methods [20–27] into the finite element method using quadrilateral elements to formulate a cell/element-based ... domainΩ is discretized into N efinite elements such thatΩ ≈ N e e=1Ω eandΩ i ∩ Ω j = ∅ , i = j The finite element solution of the static problem of a low-order1element model for the Mindlin–Reissner

Ngày tải lên: 16/12/2017, 05:10

... Construction of smoothing domains Smoothing domain of the NS-FEM is constructed based on the nodes of elements, as illustrated inFig 2, and the elements used can be 3-node triangular element, 4-node ... the set of nodes of the element containing x; ui¼ u½ xi uyiTis the vector of nodal displacements, respectively, in x axis and y axis,uiis the nodal electric potential, and Niis a ma-trix of shape ... leading to the so-called weakened weak ðW2 Þ foundations of a family of numerical methods Among them, a cell-based smoothed finite element method (SFEM or CS-FEM) [23] was first formulated by introducing

Ngày tải lên: 16/12/2017, 10:39

... Available online 12 July 2009 Keywords: Numerical methods Meshfree methods Face-based smoothed finite element method (FS-FEM) Finite element method (FEM) Strain smoothing technique Visco-elastoplastic ... face-based smoothed finite element method (FS-FEM) using tetrahedral elements was recently pro-posed to improve the accuracy and convergence rate of the existing standard finite element method (FEM) for ... two endpoints of the edge to the centroids of the adja-cent elements as shown inFig 3 The numerical results of ES-FEM using examples of static, free and forced vibration analyses of sol-ids[22]demonstrated

Ngày tải lên: 16/12/2017, 15:04

... adopted in our finite element work almost exclusively The name of ‘weighted residuals’ is clearly much older than that of the ‘finite element method’ The latter uses mainly locally based (element) ... residual Galerkin method 49 Trang 12Of more interest to the standard finite element field is the use of piecewise defined (locally based) functions in place of the global functions of Eq (3.28) Here, ... Galerkin’ are often associated with the use of weighting functions such that wj # Nj It is important to remark that the well-known finite difference method of approximation is a particular case of colloca-

Ngày tải lên: 02/05/2018, 08:09

... approximation of the three-field form leads to an important method in finite element solution procedures for nearly incompressible materials which has sometimes been called the B-bar method The methodology ... 12.2 a series of such patch tests on elements with C, continuous interpolation of u and either discontinuous or continuous interpolation ofp For each we have included all combinations of constant, ... individual element In practice N, is normally assumed identical to Np so that E is symmetric positive definite The solution of the third of (12.17) yields the pressure parameters in terms of the

Ngày tải lên: 02/05/2018, 08:09

... repetition of complicated components arises In simple, small-scale finite element analysis, much improved use of simple triangular elements was found by the use of simple subassemblies of the triangles ... the element boundary Consider, for instance, the first three elements of Fig 8.9 In each a progressively increasing and equal number of nodes is placed on the element boundary The variation of ... Use of such special elements was first introduced in reference 9, but the simpler formulation used here is that of reference 7 With the mode of generating shape functions for this class of elements

Ngày tải lên: 02/05/2018, 08:09

... Chapter 7 if the whole of the quantity in the last parentheses of Eq (17.1) is identified as the source term Q The finite element discretization of this in terms of space elements has already ... simple elements a physically obvious methodology of lumping is easy to devise, this is not the case with higher order elements and we shall return to the process of ‘lumping’ later Determination of ... formulation of time-dependent problems with spatial finite element subdivision 475 Fig 17.1 Mass lumping for some two-dimensional elements triangular and quadrilateral elements of linear and

Ngày tải lên: 02/05/2018, 08:10

... Trang 1Semi-analytical finite element - functions and ’finite strip’ methods Standard finite element methods have been shown to be capable, in principle, of dealing with any two- or three- ... in Chapters 2-6 of Volume 1 The interpretation of the process involved as the application of partial discretization in Chapter 3 of Volume 1 followed (or preceded) by the use of a Fourier series ... in Chapter 4 of Volume 1, but any of the more elaborate elements described in Chapter 8 of Volume 1 would be equally suitable (with or without the transformations given in Chapter 9 of Volume 1)

Ngày tải lên: 02/05/2018, 13:38

... of Fig 9.25 of Volume With a straightforward use of the three-dimensional concept, however, certain difficulties will be encountered In the first place the retention of displacement degrees of ... number of degrees of freedom has to be carried, involving penalties of computer time In this chapter we present specialized formulations which overcome both of these difficulties The constraint of ... a special case of three-dimensional analysis Reissner-Mindlin assumptions 8.1 Introduction In the analysis of solids the use of isoparametric, curved two- and three-dimensional elements is particularly

Ngày tải lên: 02/05/2018, 13:39

... the possibilities of analysis of shell structures by the finite element method are enormous Problems presented by openings, variation of thickness, or anisotropy are no longer of consequence A ... 2Introduction 21 7 In the division of an arbitrary shell into flat elements only triangular elements can be used for doubly curved surfaces Although the concept of the use of such elements in the analysis ... unique since the direction of one of the local axes is arbitrary, provided it lies in the plane of the element We shall first deal with the assembly of rectangular elements in which this problem

Ngày tải lên: 02/05/2018, 13:39

... Solution of non-linear algebraic equations 2.1 Introduction In the solution of linear problems by a finite element method we always need to solve a set of simultaneous algebraic equations of the ... substitution of Eqs (2.22) and (2.23) into Eq (2.21) results in an identity Further, the form of Eq (2.22) guarantees preservation of the symmetry of the original matrix The nature of the update ... evaluation of * is made in each iteration Of course, this assumes that the initial solution is within the zone of attraction and, thus, divergence does not occur Indeed, the Newton-Raphson method

Ngày tải lên: 02/05/2018, 13:39

... simulation processes are implemented based on a finite element method via the software COMSOL MULTIPHYSICS (COMSOL Inc.) This software is used in a lot of application areas such as Microelectromechanical ... position of applying force and displacement of driving spring (unit: µm)Fig 6 The position of applying force and displacement of driving proof-mass (unit: µm) Trang 11Fig 7 The position of applying ... Trang 1Design and Simulation of Micromachined Gyroscope based onFinite Element Method Nguyen Van Thang11, Tran Duc-Tan2, Chu Duc Trinh2 1 Broadcasting college I - Voice of Vietnam, Phu Ly City, Ha

Ngày tải lên: 26/01/2021, 11:39

... smoothed finite element method (S-FEM) and an application to analysis of plate structures - Code number : T20 I 0-04 - Coordinator : Tran Trung Dung - Implementing institution: Faculty of Construction ... qu6c t€ dfiu nganh (vi dv, International Journal of Numerical Methods in Engineering, Computer Methods in Applied Mechani�s and Engineering, Finite element and Design, Computational Mechanics, ... Journal of Science Ho Chi discrete shear gap for free vibration analysis of laminated composite plates, 2011. Tran Trung Dung, Thai Hoang Chien, An Journal of Science Ho Chi applicatj_pn of the

Ngày tải lên: 23/06/2021, 13:12

... finite element method (ES-FEM) to significantly improve the accuracy of the finite element method (FEM) without much changing to the standard FEM settings The ES-FEM can use different shape of ... mathematical modeling of piezoelectricity, standard finite element method (FEM) and smoothed finite element method for piezoelectric material The chapter includes a series of numerical test The ... Notation Signification FE Finite element FEM Finite element method SFEM Smoothing finite element method ES-FEM edge–based smoothed finite element method PZT Lead Zirconate titanate (PbZryTi1-yO3) PVDF...

Ngày tải lên: 26/08/2015, 13:34

... Fundamentals of the Finite Element Method for Heat and Fluid Flow Fundamentals of the Finite Element Method for Heat and Fluid Flow Roland W Lewis University of Wales Swansea, UK Perumal ... some of the 3-D results presented in this text Professor Seetharamu acknowledges Professor Ahmed Yusoff Hassan, Associate Professor Zainal Alimuddin and Dr Zaidi Md Ripin of the School of Mechanical ... numerical method Such a system is a refined version of discrete systems, and the accuracy of the solution can be controlled by changing the number of unknowns and elements The Fundamentals of the Finite...

Ngày tải lên: 17/03/2014, 13:53

... - 2008 6.RESULT OF THE CALCULATION OF SECTION FORCE AND DEFINE THE REGION OF ELASTIC REACTION FORCE OF UNDERGROUND STRUCTURE 6.1.The receiving result of mesh 40 element : 30 elements beam on ... beam on the elastic foundation, 10 elements of normal 6.2.The receiving result of mesh 200 element : 154 elements beam on the elastic foundation, 46 elements of normal Bản quyền thuộc ĐHQG Trang ... model 2.THE ELEMENT STIFFNESS MATRIX The most basic point in solving the underground structure problem by finite element method is building the element stiffness matrix Then assembling the element...

Ngày tải lên: 22/07/2014, 03:20