Login

Create Account
+14156709189
info@expertsmind.com
Submit Homework/Assignment
Get quote & make Payment
Get Solution
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 fieldsMathematics, Physics, and Engineering. The method was originally developed to study thestresses in complex airframe 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
Related Discussions:
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..
Related Questions
Civil construction, what a problem when we do a construction project
what a problem when we do a construction project
Gas turbine fuel properties  aircraft design, Gas turbine fuel properties ...
Gas turbine fuel properties and specification In the earliest days of the gas turbine engine, kerosene was regarded as the most suitable fuel. It commended itself on the grounds
Ubiquitous networks, Ubiquitous network applications are generally designed...
Ubiquitous network applications are generally designed for a whole network. This notion should be reflected in the way a network is programmed. We believe that providing abstractio
Heat treatment of cast iron, how does a cast iron cooling curve look,effect...
how does a cast iron cooling curve look,effect of heating temp, duration also cooling rate
Analog electronic, High frequency mode of bjt amplifier
High frequency mode of bjt amplifier
Geology, write and explain the different geophysical methods
write and explain the different geophysical methods
Step growth polymerization, Consider 1:1 stoichiometric polymerisation of 1...
Consider 1:1 stoichiometric polymerisation of 1,4diaminobutane with sebacoyl chloride. (a) Write down a balanced chemical equation for the polymerization (b) Name the polymer fo
The axial flow compressor  aircraft engine, The axial flow compressor: ...
The axial flow compressor: The axial flow compressor is by far the most popular type of compressor and, although it is more difficult to manufacture, it is a more efficient com
Designing a phone, hi um how do people design phones and stuff like da
hi um how do people design phones and stuff like da
Events and its efffeccts, i need to prepare my aasingment for financial dat...
i need to prepare my aasingment for financial data analysis for that i need 10 business events
Assignment Help
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
IT Courses and Help
ExpertsMind Services
Online Tutoring
Projects Assistance
Exam Preparation
Coursework Help
Programming Courses
Engineering Courses
Why Us ?
~Experienced Tutors
~24x7 hrs Support
~Plagiarism Free
~Quality of Work
~Time on Delivery
~Privacy of Work