finite element Definition and 103 Threads

  1. R

    Finite element methods for Yield Line Analysis

    Hi All, I'd like to what kind of steps need to be taken to accurately estimate the yield lines of RC structures. My intention is, to know what type of loading is acting on beams transferred from slabs. I know how to formulate thin/thick plates and shells. The results converges with commercial...
  2. B

    Introduction to Finite Element Analysis

    Folks, I have the book An Introduction to the Finite Element Method by J.N Reddy. The following website provides http://highered.mcgraw-hill.com/sites/0072466855/student_view0/executables.html access to the Fortran Executable but I am not sure how to work them. I am just beginning to...
  3. B

    Finite Element Analysis - Author J.N Reddy Book

    Folks, Is there anyone out there familiar with 'An introduction to the Finite Element Method' by J.N. Reddy? I am struggling to decipher what is happening on page 129 as shown in the attachment. If some-one is willing to help I will reply with a more specific query on that page. Thanks
  4. S

    How to find gradient of a variable in 3D mapped finite element domain

    Hello, I know the value of a field variable in a 3d mapped finite element mesh. Can anyone suggest an effective method/methods to find its gradient throughout the mesh.
  5. P

    Surface flux through a single finite element

    Hi, I'm facing a real-life problem and I don't what specific mathematics topic it's related to. Homework Statement I know the value of the components of a vector field in three points of space and I have to find the flux of this vector field through the surface defined by those...
  6. D

    Finite element simulation of a solenoid

    Hi all. I would like to do a finite element simulation of a coil in a time-varying magnetic field, to see how much current is induced in the coil, and also to see how the coil itself affects its surroundings. Now my question is, how do I model a coil with several thousand turns in a practical...
  7. H

    Writing Finite Element Code for Structural Analysis

    Structural Analysis-Writing Finite Element Code, Dear all, I have written a code ( in fact it is a software) for 3D finite element structural analysis. While developing the code I found that assembling global stiffness matrix is quite complicated. The complication is even more when we...
  8. H

    Dynamic analysis using finite element method- Help needed

    Dear all, I have written a code for dynamic analysis of a mechanical structure. My primary purpose is to find natural frequencies of the structure. When I test my code for a cantilever bar whose natural frequencies are known analytically, I found a big difference between the the first...
  9. H

    Stiffness matrix in finite element method

    Dear all, I have written a code for structural analysis using the finite element method. For some reason, I directly started with 3D elements ( hexahedron). I used to believe that the code was fine but recently i realized that the results ( deformation, natural frequency,..) strongly depend...
  10. H

    Natural Frequency in Finite Element Method

    Hi all, A fixed-free bar has a single natural frequency. When we discretize such a bar in the finite element method, then the natural frequencies are the eigenvalues and an nχn matrix where n is the number of the degree of freedom which is usually large. Thus we obtain up to n natural...
  11. H

    Dynamic Structural Analysis Using Finite Element Method

    Hi all, I need to do a dynamic structural analysis using finite element method and I have a question about the mass matrix. Question: I have the force per nodes and I need to calculate the displacement of each node at a given time. For this purpose, it seems that I need to distribute the...
  12. O

    How finite element analysis differs from mathematic derivation in beam bending?

    So I just started learning to use the finite element package abaqus for modelling beam tip deflection under different loading conditions. I think I understand the theory behind it but was wondering if some one could answer a few questions about it to further my understanding. Firstly, how do...
  13. G

    Finite element analysis results interpretation

    Hello, I have been following this forum for some time now, but this is the first time I participate. I would appreciate if you could give me a hand in understanding the results of a finite element analysis of an automotive component we have designed. The analysis results indicate that the...
  14. B

    Who does Finite Element Modelling?

    Hi Could anyone point me in the right direction? I'm employed at a small firm, only three employees at the time being. Our competencies spans from architecture to programming. We're in need of somebody who can help us create a finite element solution which we can implement in the cad...
  15. A

    Finite element method for shallow water equations

    Hello, I am trying to solve the shallow water equations using finite element method. Can anyone explain me how to treat nonlinear term in the Galerkin equation? so for example in the equation for the velocity we will have the term u\nabla v where u and v are the velocity components. For...
  16. P

    Finite Element and CFL condition for the heat equation

    I am solving the heat equation in a non comercial C++ finite elements code with explicit euler stepping, and adaptive meshes (coarse in the boundaries and finer in the center). I am aware the CFL condition for the heat equation depends on dt/h**2 for the 1D, 2D, 3D case. When I solve the...
  17. B

    Finite Element Method vs. Integrated Finite Difference for Complex Geometries

    Hello all: For modeling flow (or whatever) in a non-rectangular geometry, can anyone comment on whether the finite element method would be better or worse or the same as the integrated finite difference method? I'm reading some papers by competing groups (so I can decide which code to...
  18. R

    Finite element method/crumple zones

    I'm looking for information regarding the use of the finite element method (FEM) for crash test analysis and crumple zones? Basically I'm wondering what part of FEM do I use to make crash test analysis possible. I'm also looking for books on the subject or software libraries that can be used for...
  19. M

    Estimation of residual stress by finite element analysis

    I am trying to do a finite element analysis ofcold extrusion process of a tube wherein the steel tube is reduced from a larger outer diamter to a smaller one by extrusion process.The tube is held stationary and the die is pushed into the tube for a particular length and then retrieved.I am...
  20. H

    Need A Finite Element Magnetics Code That Handles Dynamic Modeling

    To the EE Forum, I am a new guy on this Physics Forum and this is my first post. I have downloaded a free software code, Finite Element Method Magnetics (FEMM) solver (see http://www.femm.info/wiki/Download) but it doesn’t work because FEMM is limited to solving low frequency electromagnetic...
  21. N

    Learning the Finite Element Method: A Practical Guide for Engineers

    Hi guys I wish to self-study the Finite Element Method. I am mostly interested in learning how to understand and implement the method rather than to investigate if a solution exists, i.e. I wish to follow the "engineering-approach" rather than the "mathematician-approach". Do you have any...
  22. W

    A comprehensive book for finite element methods ?

    I am doing BE in mechanical engineering. I'm looking for a comprehensive book on finite element methods preferably with a lot of solved numericals . Suggestions, please?
  23. N

    Finite Element vs. Finite Volume

    Homework Statement Hi guys Is there a difference between finite element methods and finite volume methods? Or do they both rely on each other? Niles.
  24. D

    Finite element analysis software

    i am a 3rd year civil engineering student, currently taking a course in which i need to use finite element software for assignments. the course is 100% theory, and i need to learn how to use the software on my own, i am looking for FREE software with FE capabilities, and preferably one that...
  25. M

    Best Finite Element Method Books to Understand Methods

    do suggest a good book for finite element method?some books have left me confused over the various methods
  26. D

    How to Apply Boundary Conditions in Finite Element Analysis Using C++?

    Hello all, I am trying to create a simple finite element program in C++ and have been able to build and assemble the GLOBAL stiffness matrix as well as the load vector. I want to apply the boundary conditions using the elimination approach, can anyone tell me how to do this? I am sorry for...
  27. M

    2D Finite Element Transient Heat Problem

    Hi everyone, I'm currently working on coding a finite element heat problem in Matlab that is as follows: I have a cross section of a beam made of an isotropic material (concrete) that is placed in a furnace, and the outside temperature is raised at a constant rate. I am interested in...
  28. maverick280857

    MATLAB 2D surface integral in MATLAB for Finite Element Calculation

    Hi everyone, As part of a project, I am required to numerically compute the expression b_{i}^{e} &=& \frac{E_{0}^{i}k_0^2(\epsilon_r-1/\mu_r)}{2\Delta^e}\left[\iint\limits_{\Omega^e}(a_i^e + b_i^e x + c_i^e y)e^{-jk_0 x} dx dy\right] \nonumber\\&&- \frac{jk_0 E_0^i r'}{2\Delta^e...
  29. A

    Finite Element Analysis of Collision Impact in MD Patran/Nastran

    I am trying to run a finite element analysis for a collision impact. The program I am using is MD Patran/Nastran. My model consists of moving object colliding with a stationary object. I have created the mesh, applied the appropriate material, applied the boundary conditions (fixed for the...
  30. D

    Finite Element Analysis Program

    I am on a research project where I am finding the heat capacitance and thermal conductance of a material and would like to simulate it on a larger scale as material for heated flooring. Is there a program where I can do a looping heating pipe at a set temperature and show the conductance of the...
  31. S

    Finite element method (proof question)

    Homework Statement this is part of a theorem for the error estimate for the model problem for finite element method. i have to prove the following inequality: \left|u'(x)-\tilde{u}'_h(x)\right|\leq max_{0\leq(y)\leq1}\left|u''(y)\right| Homework Equations \tilde{u_h} is the...
  32. P

    Implicit vs explicit finite element solvers

    Hello, I was just reading about implicit vs explicit finite element solvers and have a question about the difference between them. I understand that the implicit solver has a linear approximation step that is used to force equilibrium. My question is does that make the explicit solver...
  33. L

    Solving Elasticity Problems with Finite Element Method

    I am trying to make a program that solves elasticity problems with finite element method and I don't understand how to bring in boundary conditions. Constant displacement boundary conditions seem simple: replace variables that represent the displacements at surface nodes with the prescribed...
  34. G

    Is my landing gear design suitable for the cyclone airplane?

    Hello I have an assignemt to analysis a landing gear for the cyclone earoplane, an initial design being supplied, I have being askedto check for the suitability of the part, the conditions are: Aircraft mass with fuel: 43000 lbs Landing speed: 65 Knots Maximum deceleration: 3g Each part...
  35. O

    3-Dimensions Finite Element Programming

    Hi, Does anyone know where I can get any programming for finite element in 3d object not calculation but for the display such as cad (e.g. meshing display)? Also what software that can do above operation? I mean, not ansys, nastran, algor, etc., but other that I can make it by myself by my...
  36. G

    Finding finite element soluton for a PDE

    Find the Finite element solution for a equation: (∂^2 u)/〖∂x〗^(2 ) +(∂^2 u)/〖∂y〗^2 +λu-c=0 using linear triangular finite elememts. In the above equation u is scalar,λ is a constant and is a body force term(constant). The boundary conditons are in terms of prescribed values of the function...
  37. R

    Transient conductive heat flow using finite element method

    I'm looking at project investigating thermal dissiplation around circular and square concrete piles, resting in a homogeneous material (soil) using two-dimensional finite element analysis. I'm applying a transient thermal loading cycle to the centre of the concrete pile over a 7-day test...
  38. L

    What is the Finite Element Method and How Can I Learn More About It?

    i need a full explanation on finite element method or better still a material i can read to help me understand better
  39. A

    Beam element vs. Finite element?

    Hello, am a bit confused when to use beam element and when to use Finite element? is the beam element a subset of Finite element?
  40. J

    Finite element result in arbitrary point

    Hi all, I have to write a small program that reads the results from a finite element analysis and calculates some results in arbitrary points. The results could be either nodal or element based. What would be the best approach to do this? I've thought about using the shape functions to...
  41. B

    Mathematics for Finite Element Analysis

    Can anyone tell me what book is best to learn MATHEMATICS that used in Finite Element Analysis (FEA) algebraically and analytically?
  42. A

    MATLAB Finite Element Analysis in Matlab

    Hello folks :) I need to model a finite element model of a beam in bending in matlab i need directions and help thanks
  43. I

    Can Finite Element Analysis Programs Analyze Inflatable Vacuum Chambers?

    This summer i have an internship that expects me to write a program to analyze this inflatable vacuum chamber. The advisor wants to be able to put in a geometry and see if it will be stable. Would finite element analysis programs be able to do this? If so which one should I look into getting?
  44. R

    FEMM - 2d finite element emag simulation

    Hi! Does anybody here have experience with the FEMM simulation software? Its pretty popular in the engg community. I basically use it for simulating magnetostatic problems. If you do (and if this is the right forum, it is EE after all), could somebody tell me how I can do transient...
  45. K

    Best Introduction/Fundamentals of Finite Element Methods Texts

    Hi! Anyone know what would the best INTRODUCTION / FUNDAMENTALS of Finite Element Methods oriented text be? I had read O. C. Zienkiewicz’s The Finite Element Method: Its Basis and Fundamentals, 6E, Butterworth-Heinemann … No practice problems at all, un-systematic, etc. Any advice would be...
  46. C

    Deriving stiffness of a node in finite element theory

    I want to derive the theory of finite element using my own understanding. With this derivation i want to understand the fea theory of rod element I call the nodes as "points" in a structure. This scenario is for a simple one dimensional displacement of points(that is the single degree of...
  47. A

    Study Finite Element Methods: Books & Resources

    i start studying Finite element Methods any one who can help me on this subject, any good refrence book on this topic or other helping book.
  48. Astronuc

    Finite Element Analysis (FEA) Products and Developers

    These are the one with which I am most familiar. There are others, but these are the biggies. We use ABAQUS as well as our own proprietary methods, particularly for dynamic, large strain and nonlinear FEA. ABAQUS (HKS) - for nonlinear Finite Element Analysis (FEA) www.hks.com...
  49. C

    Non linear finite element theory

    I wanted to get some thought in non linear fea. Let me say there is a spring of initial stiffness k. Let me say in a non linear analysis the load is divided into 20 steps of 1N each(Total load is 20N). 1.1st iteration.1N is applied and the displacement is arrived 2.2nd iteration 2N is...
  50. C

    Nonlinear Finite Element Analysis: When & How

    what is a non linear finite element finite element analysis. When does a structure behave non linearly and how do we calculate non linearity of an element by the nodal displacements.
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