The Finite Element - Research Paper Example

Only on StudentShare

Extract of sample
The Finite Element

One of the main challenges in solving partial differential equations is to use equations which are approximate but numerically stable so that error accumulation does not cause the solution to be meaningless. The finite element method is an excellent technique for solving partial differential equations over complex domains. Application of the finite element method in structural mechanics is based on an energy principle, such as the virtual work principle, which provides a general, intuitive and physical basis.
The finite element method originated as a technique used to solve stress analysis problems, but today it can be applied to a multitude of disciplines ranging from fluid mechanics, to heat transfer to electromagnetism.
The buckle of a standard lap belt used in passenger aircrafts has been designed and is ready to undergo testing. In order to be released into the market, the strap system must be able to withstand a 450 kg tensile load. It is assumed that the weakest point of the design is the flat plate of the buckle. Thus, prior to engaging in a costly test scenario, a simple finite element analysis of the buckle is to be made to insure soundness of design, i.e. the material does not exceed its yield strength and no significant distortion occurs. Preparing the problem for analysis first requires definition of assumptions.
Figure 1 is a schematic drawing of the buckle to be analy ...
Download paper


The finite element method (FEM) is a numerical procedure used for finding approximate solutions of partial differential equations (PDE). Problems which use this method are usually too complicated to be solved by classical analytical methods and require significant computational solving capabilities…
Author : leila36

Related Essays

finite element analysis2
It can be used to analyze either small or large-scale deflection under loading or applied displacement. It and can analyze determine elastic deformation, or "permanently bent out of shape"permanent plastic deformation. The Widespread use of personal and mainframe computers in the second half of the 20th century catalyzed applications involving FEA is required because ofdue to the astronomical number of calculations needed to analyze analyse a large structure. Today, FEA is an integral part of nearly all design and development projects.
4 pages (1004 words) Essay
Civil Engineering Numerical Analysis
The results are plotted separately for the variation in displacement and stresses across the length of the bar for different element sizes. It is observed that as the element size reduces to 0.025 m the results tend to converge and are consistent.
2 pages (502 words) Assignment
finite element analysis Essay
The distribution of meshes is based on the type of the problem. If a location requires very refined analysis this region could have very fine meshes (Widas, 1997). A typical finite element application is shown as below. Here, the finite element model of the problem is shown in figure 1. The material is divided into small triangle shaped elements and hence it can be said that the body is meshed using triangular elements.
10 pages (2510 words) Essay
finite element analysis
It is not only used for stress analysis and deflection of solid structures, but also for problems involving heat conduction, fluid flow and electric fields. Finite element analysis (FEA) is a method which most engineers today find an essential tool that can be applied to almost any design problem prior to testing and development.
4 pages (1004 words) Essay
Finite Element Analysis of a Stainless Steel
Therefore, this report describes the numerical analysis, conducted using the commercially available finite element solver, ANSYS, and then recommendations are provided as to whether testing or redesign should be the next step.
21 pages (5271 words) Research Paper
Finite Element Analysis
n into "series of smaller regions in which the differential equations are approximately solved; by assembling the set of equations for each region, the behaviour over the entire problem domain is determined".
5 pages (1255 words) Essay
Got a tricky question? Receive an answer from students like you! Try us!