CHECK THESE SAMPLES OF The Basic Principle of Finite Element Analysis
...concentration factor point A of the plane to obtain the longitudinal stress profile from the points adjacent to the hole. The study is also focused on giving the stress value in the point A of the plane. In doing the exercise, the convergence study of the element will be achieved. The method of analysis in this particular study is by ANSYS program. However, the method is compared to the Saint-Venant principle to create more clarity and credibility. Introduction FEA comprises of a computer representation of a design/material, which is stressed and examined for particular results. Finite element analysis is used in new product design, and...
8 Pages(2000 words)Essay
...INTRODUCTION Introduction The Finite finite Element element Analysis method was first introduced in the 1950's and has been continually developed ever sincesince then for solving complicated mathematical problems. Its applications range from stress analysis and heat conduction to fluid flow, lubrication, electric and magnetic fields. . Finite element analysis (FEA) is a computer-based numerical technique applying the finite element method, which can be used for calculating the strength and behaviour of engineering structures. It can be used to calculate...
4 Pages(1000 words)Essay
...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...
14 Pages(3500 words)Research Paper
...the entire problem domain is determined".
The technical terms relevant to the process of finite element analysis is as follows,
1. Element is the specific region or plane under consideration.
2. Discretization is the process in which the domain is divided into limited number of elements.
3. These elements are inter-connected with each other at points called node.
4. Such split will ensure that continuous solution is derived "along the common boundaries of adjacent elements" (Cook, 1989).
Basic Theory of FEM
Considering a three-dimensional body (as shown in the figure), assume that force F is acting on...
5 Pages(1250 words)Essay
...INTRODUCTION Introduction The method of using finite elements likely began in 1906 when researchers came up with a "lattice analogy" to be used when solving for unknown stresses. Instead of solving in a continuum, elastic bars with "joints" were used to approximate displacements. But it wasn't until 1941 that Courant developed the method into what we know today when he used the principle of potential energy and piecewise polynomial interpolation to study the Saint-Venant torsion problem. At the time his work was largely ignored, primarily because there was no practical value to it since computers were not available to solve the enormous number of equations.
Today, with worldwide use of computers, finite element analysis is used... in...
4 Pages(1000 words)Essay
...What is Finite Element Analysis' Finite element analysis is a tool used in engineering to determine the physical effects a given set of boundary conditions will have on a part. Boundary conditions can be forces, temperatures, hydrostatic pressures, centrifugal pressures, torques, and displacements. The basic theory of finite element analysis is the same regardless of the type of analysis being done. The geometry being modeled will always be divided up into smaller divisions known as elements and the elements are connected...
7 Pages(1750 words)Essay
...used in analysis (Cook, Malkus and Plesha 2007).
Source: Concepts and applications of finite element analysis 3rd edition by Robert D. Cook, David S. Malkus and Michael E. Plesha (page 24)
History of finite element method
When Courant first used the principle of stationary potential energy and piecewise polynomial interpolation over triangular subregions to study the Saint-Venant torsion problem and demonstrated this in his mathematics lecture in 1941, the foundation of finite element methods were laid. His work remained unattended for nearly a decade because the method he suggested...
4 Pages(1000 words)Essay
...Finite Element Institute Finite Element Finite element method is a numerical technique for acquiring approximate solutions of integral equations as well as, partial differential equations in engineering and construction. It was first developed by R. Courant in 1943 and is employed in both the designing of new product and refinement of existing product. 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...
1 Pages(250 words)Coursework
...) and finally 3 node triangles (dofs).
Triangular elements should only be used in cases where it is geometrically necessary and in the case of mesh transition.
Objectives of the project
Finite element analysis has been used to build and to improve very many structures. However, this is only productive and successful when there are no mistakes in finite element modeling. Otherwise, any single mistake can result to dramatic, grave consequences. Finite element software programs are mostly used to solve large complex models like building a structure that has not been built before, or improving a structure...
3 Pages(750 words)Essay
...Errors in FEA Your Errors in FEA Finite element analysis is associated with errors that can be classified in three groups. It includes: modelling errors, discretisation errors, and solution errors. Modelling errors occur due to simplified assumptions in the formulation of the mathematical representation which is usually simplified. Discretisation errors arise when a continuous mathematical model is discretized into a FE model. Solution errors stem from the process of numerical solution to the FE equations. It is important to consider that errors may arise due to incorrect interpretation of the results by users. In order to avoid this situation; one must work in SI units (David, 2006).
The Finite Element Method refers to a process... of...
5 Pages(1250 words)Essay
