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| Category | Engineering |
|---|---|
| Subject | Mechanical Engineering |
| Difficulty | College |
| Status | Solved |
| More Info | Help With Statics Assignment |
Assignment Description
Engineering Analysis II: 4600:360-002 Fall, 2016 Project2
Name______________ Student ID# _______________ Due: by 5PM 12/14/16
slide under the door to ASEC 107F
The M-file program project will involve the use of MATLAB functions for applications. The project must be submitted by 5PM on the date due. Each team of 2 to 3 students must write their own program/solution and submit one team project report. Copying the work of another team or student is unacceptable. If copying occurs, all students involved will receive a grade of 0 for the project. Please turn in the printed hardcopy of your work by the due date and also send M-file programs, tables and graphs by e-mail to: ... using an attachment (or zipped files if necessary). Please use your student ID number and your last name as part of the filename for the attachment files you e-mail. Please include project number (e.g. PJ1) in the Subject line of your email. The printed hardcopy must have a cover sheet that includes project description, team member’s ID and name and it must be stapled together. They are expected to be neat and readable. The paper used must be 8½x11 and of good quality (i.e., no scrap computer paper or notebook paper with "fuzzy" left edges).
1. Please use MATLAB function fzero to solve for roots of
Please use MATLAB function optimset to set options to display each iteration of root finding process. Please plot the function curve 
for 
and you are to find all the roots (there are 3)
in that range.
The value of a function 
at certain discrete values of 
are as
follows:
| 2 | 3 | 6.5 | 8 | 12 |
| 14 | 20 | 17 | 16 | 23 |
Please use MATLAB function interp1 for ‘spline’ interpolation based on the data shown to estimate the
value of 
.
Please also use MATLAB function polyfit and polyval to fit a 4th
degree polynomial and estimate the value of 
. Please use MATLAB
function spline to fit a Clamped
Cubic Spline with end slopes of
and 
and estimate the value of 
. Please plot all the
curves with different colors or line types along with the raw data points
marked with circle symbols on one graph for 
. Please note that the
interpolated curves must be smooth.
The displacement of an instrument subjected to a random vibration test, at different instants of time, is found to be as follows:
Station, | Time, | Displacement, |
1 | 0.05 | 0.144 |
2 | 0.10 | 0.172 |
3 | 0.15 | 0.213 |
4 | 0.20 | 0.296 |
5 | 0.25 | 0.070 |
6 | 0.30 | 0.085 |
7 | 0.35 | 0.525 |
8 | 0.40 | 0.110 |
9 | 0.45 | 0.062 |
10 | 0.50 | 0.055 |
11 | 0.55 | 0.042 |
12 | 0.60 | 0.035 |
(sec)
(inch)
a) Please use MATLAB function diff to find the velocity 
, acceleration 
, and
jerk 
based
on forward-difference with a step size, 
, of 0.05. Please plot 
vs. 
curve, 
curve, 
curve, and 
curve, respectively.
b) 
Please use MATLAB functions polyfit by fitting a 11th-degree
polynomial for the data and use polyval and diff to find the
velocity 
,
acceleration 
, and
jerk 
.
Please plot 
vs. 
curve, 
curve, 
curve, and 
curve, respectively.
c) 
Please use MATLAB functions spline by fitting a Not-a-knot
Cubic Spline to find the velocity 
, acceleration 
, and jerk 
. Please plot 
vs. 
curve, 
curve,
vs.
curve, and 
curve, respectively.
Please note that the above 
vs. 
curves
should be plotted on one graph (3 curves), 
vs. 
curves on one graph (3
curves), 
curves
on one graph (3 curves) and 
vs. 
curves on one graph (3 curves), respectively. Totally
4 graphs.
Please use MATLAB functions quad and quadl to evaluate the integral
Please use MATLAB function ode23 to solve the equation
Please list the result for 
. Please plot the curves for 
vs. 
, and 
on the same graph and 
on a separate graph, respectively.
