Course
Year
: S0912 - Introduction to Finite Element Method
: 2010
INTRODUCTION
Session 1
GENERAL
SCOPE OF THE COURSE
• Introduction
• Basic Mathematical
• Basic Concept of Finite Element Method (FEM)
• Formulation of FEM in 1-D element
• Formulation of FEM in 2-D element
• Formulation of FEM in 3-D element
• Finite element Method in relationship with computer softwares
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GENERAL
Grading Policy
• Home Work ………........................
• Mid Semester Test ……………….
• Final Test …..................................
TOTAL .....................
20%
30%
50%
100%
Note:
• Appropriate changes to this grading policy may be made with
student consent.
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REFERENCE TEXTBOOK
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REFERENCE TEXTBOOK
SUPPORTING
TEXTBOOK
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COURSE 1
Content:
• Finite Element Method (FEM)
• FEM Modelling
• FEM Application
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INTRODUCTION
What is Finite Element Method?
Finite element methods are an extension of the
matrix structural analysis methods used on beams
and trusses. These matrix methods use a direct
physical approach in setting up and solving the
beam and frame problems. This direct approach
will be used to demonstrate discretization element
development and assemblage procedures.
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INTRODUCTION
FEM: Method for numerical solution of field problems.
Description
- FEM cuts a structure into several elements
(pieces of the structure).
- Then reconnects elements at “nodes” as if nodes
were pins or drops of glue that hold elements
together.
- This process results in a set of simultaneous
algebraic equations.
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INTRODUCTION
Example of Finite Element
Method
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HISTORY
• The term finite element was first coined by clough in
1960.
• The first book on the FEM by Zienkiewicz and Chung
was published in 1967.
• In the late 1960s and early 1970s, the FEM was
applied to a wide variety of engineering problems.
• Most commercial FEM software packages originated
in the 1970s. (Abaqus, Adina, Ansys, Plaxis, Midas
etc.)
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ADVANTAGES & DISADVANTAGES OF FEM
ADVANTAGES
• Can readily handle very complex geometry
• Can handle a wide variety of engineering problems
• Can handle complex restraints
• Can handle complex loading
DISADVANTAGES
• The FEM obtains only "approximate" solutions.
• The FEM has "inherent" errors.
• Mistakes by users can be fatal.
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FEM MODELLING
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STRENGTH & WEAKNESS
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APPLICATION OF FEM
• A variety of specializations under the umbrella of the mechanical
engineering discipline (such as aeronautical, biomechanical, civil
engineering and automotive industries) commonly use integrated
FEM in design and development of their products.
• Several modern FEM packages include specific components such
as thermal, electromagnetic, fluid, and structural working
environments. In a structural simulation, FEM helps tremendously in
producing stiffness and strength visualizations and also in
minimizing weight, materials, and costs.
• FEM allows entire designs to be constructed, refined, and optimized
before the design is manufactured or applied.
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