Finite Element Analysis of Solids and Fluids I
Lecture Notes
The lecture notes on this page were written by the teaching assistant, Seounghyun Ham, typed by Chang-Yoon Park, and proofread by Seounghyun Ham and Daniel J. Payen.
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SES # |
TOPICS |
NOTES |
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1 |
Introduction: why to study FEA |
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|
2 |
The finite element analysis process |
(PDF) |
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3 |
Analysis of solids/structures and fluids |
(PDF) |
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4 |
The principle of virtual work |
(PDF) |
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5 |
The finite element formulation |
(PDF) |
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6 |
Finite element solution process |
(PDF) |
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7 |
Finite element solution process, cont'd |
(PDF) |
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8 |
Demonstration on using ADINA, part 1 |
none |
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9 |
Demonstration on using ADINA, part 2 |
none |
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10 |
Nonlinear finite element analysis of solids and structures |
(PDF) |
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11 |
Heat transfer analysis |
(PDF) |
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12 |
Finite element analysis of heat transfer and incompressible fluid flow |
(PDF) |
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13 |
Physical explanation of Gauss elimination |
(PDF) |
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14 |
Exam 1 |
none |
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15 |
Solution of dynamic equilibrium equations |
(PDF) |
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16 |
Solution of dynamic equilibrium equations, cont'd |
(PDF) |
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17 |
Demonstration on finite element methods in ADINA; focus on student projects |
none |
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18 |
Modeling for dynamic analysis and solution |
(PDF) |
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19 |
Modeling for dynamic analysis and solution, cont'd |
(PDF) |
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20 |
Wave propagation response |
(PDF) |
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21 |
Solution of the generalized eigenvalue problem |
(PDF) |
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22 |
Exam 2 |
none |
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23 |
Solution of Kφ = λMφ |
(PDF) |
|
24 |
Wrap up, review |
none |
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25 |
Wrap up, review, cont'd |
none |
Assignments
This page contains the weekly homework assignments and their solutions. For Homework 5, problem 2, ADINA input files are provided, modeling the system in two different ways:
Using load displacement constraint (LDC) (IN)
Using a spring attached at the node (IDB)
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ASSIGNMENTS |
SOLUTIONS |
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Homework 1 (PDF) |
(PDF) |
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Homework 2 (PDF) |
(PDF) |
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Homework 3 (PDF) |
(PDF) |
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Homework 4 (PDF) |
(PDF) |
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Homework 5 (PDF) |
(PDF) |
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Homework 6 (PDF) |
(PDF) |
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Homework 7 (PDF) |
(PDF) |
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Homework 8 (PDF) |
(PDF) |
Exams
This page contains both exams and their solutions.
Home Courses Mechanical Engineering Finite Element Analysis of Solids and Fluids I Study Materials
Study Materials
Dynamic Analysis
The problem of a cantilever beam was explored in class during Session #19. The following materials give more details about the analysis and the 6 modes corresponding to the lowest 6 frequencies. If images/text are blurry, please zoom in.
Dynamic analysis of a cantilever beam (PDF)
Animations
Mode 1 (AVI)
Mode 2 (AVI)
Mode 3 (AVI)
Mode 4 (AVI)
Mode 5 (AVI)
Mode 6 (AVI)
Multiple Frequencies
The natural frequencies of a cube were investigated using ADINA, and the results checked against theory. (PDF)