Customer Service Chat
Get quote & make Payment
The finite element method fem, engineering, Other Engineering
The finite element method
The finite element method (FEM), sometimes referred to as finite element analysis (FEA), is a computational technique used to obtain approximate solutions of boundary value problems in engineering. The finite element method owes its origins to three different fields-Mathematics, Physics, and Engineering. The method was originally developed to study thestresses in complex air-frame structures (Clough 1960) and was later extended to the general field of continuum mechanics (Zienkiewicz and Cheung 1965). There have been many articles on the history of finite elements written by numerous authors with conflicting opinions on the origins of the technique (Gupta and Meek 1996; Oden 1996; Zienkiewicz 1996). The finite element method is receiving considerable attention in engineering education and in industry because of its diversity and flexibility as an analysis tool.. Greenstadt (1959) outlined a discretization approach involving “cells” instead of points. This approach contained many of the essential and fundamental ideas that serve as the mathematical basis for the finite element method. Research has shown that this method is appropriate and of negligible error in solving problems associated with engineering systems.
The finite element method considers a complicated domain to be subdivided into a 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. Each region is referred to as an element and the process of subdividing a domain into a finite number of elements is referred to as discretization. Elements are connected at specific points called nodes and the assembly process requires that the solution be continuous along common boundaries of adjacent elements.
Simple stated by Huebner and Thornton (1982), the finite element analysis can be obtained by:
Discretizing the continuum: by replacing it by a series of simple, interconnected elements where the field properties will be relatively easy to compute.
Select the interpolation function: that shows the variation of the field variable across the element domain.
Find the element properties: by substituting discrete values for the field variable at the nodes. This leads us to a system of equations.
Assemble the nodes: by combining each element approximation of the field variable to form a piecewise approximation of the behaviour over the entire solution domain.
Apply the boundary conditions that indicate the uniqueness of the solution.
Solve the system of equations using numerical techniques at each node.
Make additional computations, visualization and optional analysis using computer software.
Posted Date: 2/5/2012 1:37:51 PM | Location : United States
Ask an Expert
The finite element method fem, engineering, Assignment Help, Ask Question on The finite element method fem, engineering, Get Answer, Expert's Help, The finite element method fem, engineering Discussions
Write discussion on The finite element method fem, engineering
Your posts are moderated
Write your message here..
Security Analysis & Portfolio management, ABC Ltd. has an investment opport...
ABC Ltd. has an investment opportunity available which will involve a capital outlay in each of the next 2 years and which will produce benefits during the following 3 years. A sum
Capacitors&types of capacitor, Ask question #Minimum 700 words accepted#
Ask question #Minimum 700 words accepted#
Heat transfer, Q. 1 A 50 cm diameter pipeline in the Arctic Carries hot oi...
Q. 1 A 50 cm diameter pipeline in the Arctic Carries hot oil at 30 0C and exposed to a coefficient surrounding temperature of -20 0C. Special powder insulation 5 cm thick surround
Extended input facilities, Extended input facilities Another instance w...
Extended input facilities Another instance where multiple inputs to a single gate operation can occur is with certain types of gate elements that have an 'EXTENDED INPUT' facil
Evolutionary methods, Evolutionary Methods Optimization methods base...
Evolutionary Methods Optimization methods based upon natural or biological processes Need to be able to parameterise a solution and determine a cost function (good or bad
Fire risk assessment process, Fire risk assessment process: This is th...
Fire risk assessment process: This is the main part of the FRA process. Here we consider the risk, measure it against what we consider acceptable and, if we consider that t
Pneumatics, 3. Design and draw a circuit using the cascade system to operat...
3. Design and draw a circuit using the cascade system to operate two cylinders (A and B) which, on the operation of a start valve, produces the sequence A – B + B – A+. The cylinde
Fractional distillation in fuel - aircraft maintenance , Fractional distill...
Fractional distillation This process is carried out in a fractionating column, which has a series of trays as shown in the figure. The effect of the superheated steam on the h
Computational aerodynamics-module style, The module content and teaching st...
The module content and teaching style has undergone revision since 2006-07. There are two reasons for this. First, this was the first year that Prof Badcock was responsible for the
Directional solidification, Q. What do you understand by directional solidi...
Q. What do you understand by directional solidification? What is gating system? Describe, giving sketches, various types of gates. What are the advantages and disadvantages of pres
Accounting Assignment Help
Economics Assignment Help
Finance Assignment Help
Statistics Assignment Help
Physics Assignment Help
Chemistry Assignment Help
Math Assignment Help
Biology Assignment Help
English Assignment Help
Management Assignment Help
Engineering Assignment Help
Programming Assignment Help
Computer Science Assignment Help
Why Us ?
~24x7 hrs Support
~Quality of Work
~Time on Delivery
~Privacy of Work
Human Resource Management
Literature Review Writing Help
Follow Us |
T & C
Copyright by ExpertsMind IT Educational Pvt. Ltd.