09-10-2012, 04:46 PM
PRESENTATION FOR THE COMPREHENSIVE EXAMINATION
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FINITE ELEMENT METHOD
FEM is a computer aided mathematical technique for finding approximate numerical solution to wide variety of engineering science problems, where it is not possible to find closed form solution.
SIX STEPS OF FEM
Weak Formulation
Discretisation and FE approximation
Development of Elemental Equation
Assembly
Imposing Boundary Conditions
Nodal Solution
ADVANTAGES
FEM can handle any engineering science problem , which can be described by calculus equation.
It can handle a wide variety of engineering science problems
With any irregular and complex geometry
Non-uniform loading
Non-linear material property
DISADVANTAGES
In FEM obtains only approximate solutions.
Due to programming, a small mistake by users can be fatal
FUZZY LOGIC
Fuzzy control provides a formal methodology for representing, manipulating and implementing a human’s heuristic knowledge about how to control a system.
Fuzzy logic control using linguistic information possesses several advantages such as robustness, model- free and rule based algorithm.
Fuzzification: Which converts the controller inputs into information that the inference mechanism can easily use to activate and apply rules
The Rule Base: Which contains a Fuzzy logic Quantification of the experts linguistic descriptions of how to achieve good control
Inference Mechanism: Which emulates the experts decision making in interpreting and applying Knowledge about how best to control the plant
Defuzzification: Which converts the conclusions of the inference mechanism into actual inputs of the process