AE420/ME471 First programming assignment Solution
Topic: Finite element solution of 1D axi-symmetric problems Consider the simple structural problem of an axi-symmetric membrane (under constant tensio
ME 471/AE 420/CSE 451: Programming Assignment 1
Spring 2016
Due: Friday, February 5, 2016 at 11:59pm (subversion)
General Instructions for Programming Assignments
To complete your submission, follow t
ME 471/AE 420/CSE 451: Programming Assignment 2
Spring 2016
Due: Friday, February 19, 2016 at 11:59pm (subversion)
General Instructions for Programming Assignments
To complete your submission, follow
1D Linear Elastostatics Finite
Element Computation Part 2
Prof. Mariana Silva
Adjunct Assistant Professor /
Curriculum Development Coordinator
/ Advisor
Spring 2016
Finite element formulation
Weak for
ME 471/AE 420/CSE 451: Programming Assignment 3
Spring 2016
Due: Friday, February 26, 2016 at 11:59pm (subversion)
General Instructions for Programming Assignments
To complete your submission, follow
10/20/2013
5.7 Isoparametric elements
Table of content
5.7.1 Introduction - Terminology
5.7.2 Isoparametric 1-D element
5.7.3 Isoparametric 2-D elements
* Quadrilateral elements
* Triangular elements
9/8/2013
3. Basic concepts of FEM: solution of 1-D bar problem
Table of contents
3.1 Basic concepts : mesh, nodes, elements, interpolation, .
3.2 FEA of axially loaded bar
3.3 Notes : direct method, h
8/29/2013
Chapter 2. Rayleigh-Ritz Method (RRM)
Basic idea: we assume that we know the spatial variation of the displacement field,
except for some unknown coefficients to be determined with the aid o
10/15/2013
5.5 Convergence of global elements
3 basic issues:
Convergence: does the numerical solution tend to the exact one (i.e., does the
numerical error tend to zero) as the number of elements te
10/10/2013
Application
The expression of the potential energy for a membrane on an elastic foundation is
=
2
2
1 w w
T + + kw 2d
2 x y
qw d
where
w(x, y ) is the membrane deflection
T is the const
9/17/2013
Example 1
1) Use the finite element method (direct and PMPE approaches) to solve the following problem:
Q
1
k1
1
2
k6
k2
2
3
k3
3
6
4
k4
4
P
5
5 k5
AE 420 / ME 471
3. 29
Example 2
AE 420 / M
10/2/2013
Group Project
Presentation in class
Oct 30 and Nov 1 2013
AE 420 / ME 471
5. 1
Breakdown of Grade Allocation
Innovativeness of Research Question: 20%
Approach: 20%
Appropriate use of FEM: 30
9/23/2013
4. FEA of 2-D truss problems
Definition : a truss element is a 1-D structural element that can transmit efforts only along
its axis.
7
Example : bridge structure
1
4
8
6
2
9
7
3 5
1
8
2
10
3
AE 420 / ME 471 - Second FE Programming Assignment Finite Element Code for 2-D Static Truss Structures Friday, March 12, 2010 Due on Friday, March 19, 2010 Problem description The assignment consists