We use cookies to create the best experience for you. Keep on browsing if you are OK with that, or find out how to manage cookies.
Nobody downloaded yet

The Finite Element - Research Paper Example

Comments (0)
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…
Download full paper

Extract of sample
The Finite Element

Download file to see previous pages... 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...
thickness of the part (which is assumed to be constant) is believed to be small enough compared to the width of the part such that shell elements can be used. Displacements are expected to be relatively small such that a linear approximation will be valid.
Figure 1

2.2 Material Properties
The part is manufactured from 2.5 mm stainless steel plate with a Young's modulus of elasticity of 206 GN/m2, Poison's ratio of 0.3, and a yield strength of 580 MN/m2. Homogeneous and isotropic material was assumed with no discontinuities or residual stresses present as a result of manufacturing processes such as forging, rolling and welding. The material is assumed to have linear elastic properties.

2.3 Mesh
A mesh that provides a good representation of the model is critical for an accurate solution; the elements must be well-shaped and close fit. For this analysis, the element type chosen was PLANE82, which is a 2D structural solid element. The element has 8 nodes, which increases calculation time over its 4-node counterpart but also increase accuracy of solution. Eight-noded elements are also known to be more accurate for modelling curved boundaries, which is where the areas of maximum stress were expected in the buckle. The PLANE 82 element type also offered the benefit of accounting for a thickness value in its input properties. Since maximum stress values were expected in the curved sections of the part, two meshing values were utilised, thus providing a denser mesh in critical areas. In the curved areas, a value of 0.25 was used, while 0.51 was used in the rest of the model.

2.4 Boundary Conditions
Determination and application of boundary conditions is critical to the analysis. For this model, it was assumed that displacements would be small enough so as to not ...Download file to see next pagesRead More
Comments (0)
Click to create a comment
Characterization models of poroelastic materials: A review
Several models have thus been proposed to easily predict the acoustical behaviour of poroelastic materials. These models often use various physical parameters that are based on definitions from theory or measurements from experiments (Seppi 2009). However, the accurate prediction or characterization of poroelastics is still a difficult issue, especially in the case of numerical simulations of materials having complex geometries, due to limitations of convergence and time taken for computation (Seppi).
10 Pages(2500 words)Research Paper
The Element Nitrogen
He places a bottle that is turned upside down in a water bath so as to trap some air. A burning candle was placed inside the bottle that reacts with oxygen. Rutherford concluded that the remaining gas was nitrogen. Nitrogen comes from nitro and gen that means niter-forming.
5 Pages(1250 words)Research Paper
Calcium Element Chemistry Research Paper
(Earnshaw and Greenwood, p. 109) It has been known since ancient times in its carbonate form as limestone, from which the Romans produced lime, called calyx in Latin. (Helmenstine, p. 1)The metal form of calcium was discovered by the English scientist Sir Humphrey Davy, in his laboratory in London in 1808.
3 Pages(750 words)Research Paper
Acoustical Characterization of Porous Materials for Automotive Application
Acoustical Characterization of Porous Materials for Automotive Application: A Review Abstract This review mainly concerns itself with the acoustic characteristics of porous materials in various automotive applications. The porous materials in question include; artificial and natural fiber, porous material and polymer foams.
7 Pages(1750 words)Research Paper
Research paper
The procedure aims at locating damages, determines their severity, and has several advantages, such as timely and accurate results for efficient management of structures. Its implementation through visual inspection, traditional non-destructive evaluation methods, and remote monitoring has widely been used but the techniques are expensive and labour intensive.
6 Pages(1500 words)Research Paper
Finite Element Analysis of a Stainless Steel
It is assumed that the weakest element in the design is the flat plate of the buckle. Before testing, a numerical analysis to determine stress locations and magnitudes should be made in order to confirm appropriateness of design. If stresses in the material exceed Young's modulus, then a redesign should occur prior to test begin.
21 Pages(5250 words)Research Paper
RC design
Current design recommendations for RC beam-column joints in earthquake-resistant construction given by Joint carried out with reference to BSs 648, 5950, 6399 and 8110 focus on three main aspects are confinement requirements, evaluation of shear strength; and anchorage of beam and to design, in RC, a typical main beam (element 34), column (element 63) and base, and provide sketch RC details of all three elements ensuring that the beam and column sizes are the minimum possible, working in multiples of 5mm.
5 Pages(1250 words)Research Paper
Finite Element
Finite element method enables a company to verify proposed designs, modify structure or existing products that are to be used for new service conditions, and in case of structural failure, it may be used to determine design modifications that are required to meet the deserved new condition.
1 Pages(250 words)Coursework
Number 3 is one place right after the decimal point, and it is called “tenths”. Number 4 is two places right after the decimal point, and it is called “hundredths”. Thus, place of 7 is “thousandths”, and
5 Pages(1250 words)Research Paper
The human population explosion on a finite planet: is there a limit to limitless growth
Industrial revolution had created a perfect avenue for the human population to multiply, and nothing could stop this effect. Consequently, resources soon would begin diminish due to overconsumption by this huge
7 Pages(1750 words)Research Paper
Let us find you another Research Paper on topic The Finite Element for FREE!
Contact us:
Contact Us Now
FREE Mobile Apps:
  • About StudentShare
  • Testimonials
  • FAQ
  • Blog
  • Free Essays
  • New Essays
  • Essays
  • The Newest Essay Topics
  • Index samples by all dates
Join us:
Contact Us