## 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