What is finite element: Definition and 115 Discussions
The finite element method (FEM) is a popular method for numerically solving differential equations arising in engineering and mathematical modeling. Typical problem areas of interest include the traditional fields of structural analysis, heat transfer, fluid flow, mass transport, and electromagnetic potential.
The FEM is a general numerical method for solving partial differential equations in two or three space variables (i.e., some boundary value problems). To solve a problem, the FEM subdivides a large system into smaller, simpler parts that are called finite elements. This is achieved by a particular space discretization in the space dimensions, which is implemented by the construction of a mesh of the object: the numerical domain for the solution, which has a finite number of points.
The finite element method formulation of a boundary value problem finally results in a system of algebraic equations. The method approximates the unknown function over the domain.
The simple equations that model these finite elements are then assembled into a larger system of equations that models the entire problem. The FEM then approximates a solution by minimizing an associated error function via the calculus of variations.
Studying or analyzing a phenomenon with FEM is often referred to as finite element analysis (FEA).
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...
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?
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...
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...
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...
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...
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...
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.
Hello all,
I've been trying to model a plate under uniform tension using FEA techniques (in ANSYS). The plate has a circular hole in the centre, and has two axes of symmetry so I've created a mesh based upon the 'top right' quarter of the plate.
I'm pretty sure I've done everything right...
finite element analysis alternative??
hi do you happen to know any alternative for using Finite Element Analysis(FEA)? i need to know it badly.. hope someone could help. thanks!