Transcript EGR 102 Update

EGR 102 Update
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Application of systematic approaches to
engineering problems. Problem decomposition and
identification of a solution approach. Solution
using tools such as advanced spreadsheet features
and MATLAB. Data representation, curve fitting and
analysis. Mathematical modeling of engineering
systems. Application of principles through teambased engineering projects.
Prerequisite
◦ (EGR 100 or concurrently*) and ((MTH 132 or concurrently)
or (MTH 152H or concurrently) or (LB 118 or concurrently))
*math ready students are taking EGR 102 1st due to enrollment issues
100 is in the process of being removed as a pre-erq
Students will be able to:
• systematically solve engineering problems by
decomposition to determine solution approaches
• solve problems using appropriate computational
tools
• graphically portray data in meaningful manner using
spreadsheet programs & advanced computational
environments
• write programs to solve problems & model systems
• interpret & communicate results
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Lecture once a week
◦ Hard copy of homework
◦ Quiz over prior week topic
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2 80 minute labs/week
◦ 1 TA
◦ 2-3 mentors per lab (goal is ~10 to 1)
◦ Electronic submission for each lab
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Fall 2013
◦ 351 students
◦ 1 lecture section
◦ 10 Lab sections
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Spring 2014
◦ 780 students
◦ 2 lecture sections
◦ 18 Lab sections
Lecture
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Conservation Law
Cost Engineering
Matrix Math
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Curve Fitting
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Structured Programing
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Lab
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◦ Gaussian Elimination
◦ Linear Regression
◦ Polynomial Regression
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◦ Flow Charting
Root Finding
Optimization
Numerical Integration
ODEs
Introduction to Excel (4 labs)
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Basics
If functions and nested If functions
Solver
Matrix Multiplication (MMULT)
Trend lines and error bars
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Basics
Scripts
Functions
Vectors
Plotting
Iterative Programming
Nested Programming
Introduction to MATLAB (14 labs)
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Project (6 Labs)
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Exams, Final wrap up (5 labs)
◦ Writing
General subject selection is process driven for skill set development
Lecture
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Cost Engineering
◦ Homework requires both
hand calculation and
Excel work using intrinsic
functions
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Matrix Review and
Gaussian elimination
◦ Homework emphasizes
systematic approach
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Bisection and NewtonRaphson Root finding
Lab
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Excel Basics and
Functions
MATLAB Introduction lab
homework focuses on
matrix manipulation
Iterative programming
application of NewtonRaphson
Nested Programming and
functions application is
Bisection method
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Time value of money
Cost, including incremental, average, sunk,
and estimating
Economic analyses
Depreciation
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All options need to be evaluated at the same
‘time’
◦ Present worth analysis
Present
Option 1
Option 2
Option 3
Lecture 02
Worth
$1,000,000.00
$641,057.64
$1,227,826.51
EGR 102
9
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Root finding
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Good mathematical formulation
Specific criteria to follow
Algebraic equations
Comparison criteria easily understood
Start
xl , xu, Lmin
Calculate estimated root:
xr = [xl+xu)/2]
(xu – xl) ‐ Lmin
<0
>0
F(xl)*F(xr)
>0
<0
xu=xr
F(xl)* F(xr)]
=0
xl=xr
Stop
function [ root,iterations ] = bisection2( xU,xL,Lmin )
% Inputs: xU, upper limit of interval
%
%
xL, lower limit of interval
Lmin, tolerance
% Outputs: root, final root after iterating
% iterations, number of iterations performed
%Calculate xR and
xR=(xU+xL)/2;
%Calculate f(xr) and f(xL)
%---------------------------------------------- fR=f_5A(xR);
--------------------------fL=f_5A(xL);
%Evaluate f(xu) and f(xl) by calling function f_5A
%If fR*fL is greater than zero, xL becomes xR, if it is
fU=f_5A(xU);
less than zero,
fL=f_5A(xL);
%xU becomes xR.
%Display an error message if the interval supplied is not if (fR*fL)>0;
valid
if (fU*fL)>0
error(':( The equation does not cross the xaxis in the interval
supplied')
end
xL=xR;
else (fR*fL)<0;
xU=xR;
end
%Update counter
counter=counter+1;
%Initialize counter by setting it equal to zero. Initialize
interval length
L=xU-xL;
L=xU-xL;
end
counter=0;
%Define the outputs
%Create the While loop to perform the bisection method root=xR;
iterations=counter;
while L>=Lmin
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Wastewater Treatment Plant: Lift station
Pump design
◦ Develop system curves from data
◦ Manipulate given data in Excel, produce file that is
imported to MATLAB
 Requires use of Excel help for Table look up
◦ Create distinct vectors from imported data
◦ Write code for calculation of head loss
 Requires use of MATLAB help for intrinsic 2nd order
polynomial fit
◦ Create plots of system curves to select pump
◦ Annual Cost analysis of pump options
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Bumper crash analysis
Data from local design house
Objective:
Deflection vs Force Bumper 3
140
120
100
◦ Maximize energy absorption
◦ Optimize key radii & material thickness
Force (kN)
Tasks:
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60
40
20
0
Evaluate design at key points
Generate & filter force-deflection curves
Calculate energy by numerical integration
Surface curve fit energy, stroke & stress data
Optimize design
Sroke (mm)
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80
-20
15
20
25
30
35
Deflection (mm)
40
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50
Maxiumum Stroke Surface Plot
34
32
30
28
26
24
22
20
38
3.5
36
34
4
32
30
4.5
28
5
Thickness (mm)
Radius (mm)
CoRe Experience
February 27, 2014
15
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Problem Solving
◦ Thought process
◦ Engineering Approach
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Select the best tool for solution
◦ Calculator
◦ Excel
◦ MATLAB
Course perspective
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2 credit course
Instructional Model
◦ Number of students
◦ Moving away from text
◦ Requiring purchase of
MATLAB and Calculator
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Computer skills from HS
◦ Range from none to
extensive
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Transference?
Students perspective
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RAM of calculator (TI-83)
◦ 25 by 25 matrix inversion
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But I can just right click…
YouTube said…
Wolfram alpha
Academic Dishonesty