Final Exam Take-Home Portion
docx
keyboard_arrow_up
School
Housatonic Community College *
*We aren’t endorsed by this school
Course
4415
Subject
Mechanical Engineering
Date
Feb 20, 2024
Type
docx
Pages
1
Uploaded by ElderArtYak45
CHME4415 – Process Dynamics and Control – Fall 2021
To:
CHME 4415 Students
From:
CHME 4415 Instructor
Subject: Final Exam – Take Home Portion
Date:
December 7, 2021
This take-home portion of the final exam is an extension of the analysis conducted for Homework #5. You will apply Root Locus and Bode analysis to the system analyzed in Homework #5. A copy of the instructor solution is posted with this assignment for you to use and you should use the values of process parameters from the instructor solution. The analysis conducted here will focus on application of Root Locus and Bode analysis. Assignment is to be submitted to Canvas by 11:59 pm Monday December 13th.
1.
For the system in Homework #5, use Matlab to create a root locus plot for the process. Remember that the dead time must be approximated using the Pade approximation. From the root locus, estimate the ultimate gain and frequency for the process. Make a second Root Locus plot using the tuning results from the instructor solution for the PI case and including the integral control transfer function { (τ
I
s + 1)/ τ
I
s }. Using the root locus plot, identify the value of controller gain that now makes the system unstable. Compare this to the one found without the
integral control transfer functions and discuss any differences.
2.
For the system in Homework #5, using the Bode (frequency response) workbook included with the assignment, create a Bode diagram for your process. Determine the ultimate gain and period of oscillation using this tool. Compare to what you obtained by root locus method.
What to submit:
Please include a pdf copy of your spreadsheet, formatted to fit (no reduced print, please) on 4 pages or less. When preparing the pdf pay attention to formatting so figures and tables are not split across multiple pages. The work should be documented to make it clear what was done, using textboxes for the more extensive comments. You may include small versions of plots from Matlab to document your work and to explain your choice of tuning parameters. A copy of your Excel workbook is also to be submitted for review.
Discover more documents: Sign up today!
Unlock a world of knowledge! Explore tailored content for a richer learning experience. Here's what you'll get:
- Access to all documents
- Unlimited textbook solutions
- 24/7 expert homework help
Related Documents
Related Questions
4. Documents business requirements use-case narratives.for only one process
note: please i want Documents like this in pic
arrow_forward
-The exam is open adopted textbook, open class notes (posted notes and solutions on the class' Canvas site only) and you may use
Matlab's build-in help system, but only to look up Matlab syntax questions;
- no collaboration is allowed; no help, including the tutoring center, may be sought to solve the problems;
- exam questions may only be asked to the instructor via private Ed Discussion posts or during the instructor's office hours;
- for non Matlab Grader problems, document all steps you took to solve the problem. This can be handwritten, but must be legible
for credit. If the problem states 'By hand', do not use any script/function to actually solve the problem, however, you may use a
non-programmable calculator or script/functions coded in this class to help in verifying the numerical results of individual steps;
- on Gradescope associate/select your answer pages with the corresponding problem numbers. Failure to do so may result in
no points given initially and will require a…
arrow_forward
Don't Use Chat GPT Will Upvote And Give Handwritten Solution Please
arrow_forward
K
mylabmastering.pearson.com
Chapter 12 - Lecture Notes.pptx: (MAE 272-01) (SP25) DY...
P Pearson MyLab and Mastering
Mastering Engineering
Back to my courses
Course Home
Scores
Course Home
arrow_forward
Learning Goal:
To use transformation equations to calculate the plane state of stress in a rotated coordinate system.
The normal and shear stresses for a state of stress depend on the orientation of the axes. If the stresses are
given in one coordinate system (Figure 1), the equivalent stresses in a rotated coordinate system (Figure 2) can
be calculated using a set of transformation equations. Both sets of stresses describe the same state of stress.
In order to use the transformation equations, a sign convention must be chosen for the normal stresses, shear
stresses, and the rotation angle. For the equations below, a positive normal stress acts outward on a face. A
positive Try acts in the positive y-direction on the face whose outward normal is in the positive x-direction. The
positive direction for the rotation is also shown in the second figure.
The stresses in the rotated coordinate system are given by the following equations:
στ
σy
+
cos 20+Try sin 20
2
2
σετ συ
=
σy'
cos 20-Try…
arrow_forward
You are a biomedical engineer working for a small orthopaedic firm that fabricates rectangular shaped fracture
fixation plates from titanium alloy (model = "Ti Fix-It") materials. A recent clinical report documents some problems with the plates
implanted into fractured limbs. Specifically, some plates have become permanently bent while patients are in rehab and doing partial
weight bearing activities.
Your boss asks you to review the technical report that was generated by the previous test engineer (whose job you now have!) and used to
verify the design. The brief report states the following... "Ti Fix-It plates were manufactured from Ti-6Al-4V (grade 5) and machined into
solid 150 mm long beams with a 4 mm thick and 15 mm wide cross section. Each Ti Fix-It plate was loaded in equilibrium in a 4-point bending
test (set-up configuration is provided in drawing below), with an applied load of 1000N. The maximum stress in this set-up was less than the
yield stress for the Ti-6Al-4V…
arrow_forward
mylabmastering.pearson.com
Chapter 12 - Lecture Notes.pptx: (MAE 272-01) (SP25) DY...
P Pearson MyLab and Mastering
Scores
arrow_forward
I am having trouble with the folloiwng MATLAB code. I am getting an error that says "unrecognized function or variable 'numericalPropogatorOptions". I have the aerospace toolbox and the aerospace blockset added. what add on do I have to download to use that function. How do I make this code work?
% Define Keplerian Elements
a = 29599.8; e = 0.0001; i = 0.9774; Omega = 1.3549; w = 0; M = 0.2645;
[RECI, VECI] = Kepler2RV(a, e, i, Omega, w, M);
initialState = [RECI * 1e3; VECI * 1e3]; % Initial position (m) and velocity (m/s)
% Define constants
mu = 3.986004418e14; % Gravitational constant (m^3/s^2)
earthRadius = 6378.1363 * 1e3; % Earth radius in meters
j2 = 1.08263e-3; % J2 perturbation coefficient
% Define propagator options
propOptions = numericalPropagatorOptions('CentralBody', 'Earth', ...
'GravitationalParameter', mu, ...
'InitialState', initialState, ...
'OutputTimeStep', 300); % Output every 300 seconds
% Add perturbations
addGravityModel(propOptions, 'Degree', 2,…
arrow_forward
I want to run the SGP4 propagator for the ISS (ID = 25544) I got from spacetrack.org in MATLAB. I don't know where to get the inputs of the function. Where do I get the inFile and outFile that is mentioned in the following function.
% Purpose:
% This program shows how a Matlab program can call the Astrodynamic Standard libraries to propagate
% satellites to the requested time using SGP4 method.
%
% The program reads in user's input and output files. The program generates an
% ephemeris of position and velocity for each satellite read in. In addition, the program
% also generates other sets of orbital elements such as osculating Keplerian elements,
% mean Keplerian elements, latitude/longitude/height/pos, and nodal period/apogee/perigee/pos.
% Totally, the program prints results to five different output files.
%
%
% Usage: Sgp4Prop(inFile, outFile)
% inFile : File contains TLEs and 6P-Card (which controls start, stop times and step size)
% outFile : Base name for five output files
%…
arrow_forward
Look up the Arduino Mega 2560. Document the steps how to work with the Arduino in Matlab and Simulink. Make a simulink program turning on the LED on the board for 10sec. Explain your program, comment on your findings and explain how to test it on the actual hardware.
arrow_forward
I need to adapt a real-life system to this assignment. It doesn't need to be a very complicated system.
I am a senior mechanical engineering student. I need help with my mechanical theory homework
arrow_forward
Problem 3 (40 points) (CCOs 1 & 3)/MatlabGrader
On Canvas, you will find a Matlab function file process.p that takes as input the variable x and returns as output the result of
a complicated process g (x). Copy the file into your working directory and use it as any other Matlab .m file or build-in intrinsic
Matlab function (just call it using its name process). The only difference between a .p and a .m file is that the source code of the .p
file is not visible.
Find all roots of g(x) in the interval 0 ≤ x ≤ 10 to a tolerance in function of at least 10-10 using mySecant from problem 2.
Recall that any .m or .p function file can be passed as an argument into another function by prefacing the function name by a
@, e.g., @process can be passed as an argument into any Matlab function that uses a function as an input argument, for example
fplot(@process,...) for plotting a function.
Store all found unique roots in a column vector root, the corresponding tolerances in function in a column…
arrow_forward
Help can only be sought via private Ed Discussion posts or instructor office hours.
- In all coding, use only functions covered in class. It will be considered a violation of the Academic Integrity Policy if you use
any build-in functions or operators of Matlab that calculate the inverse of a matrix, interpolations, spline, diff, integration, ode,
fft, pdes, etc.;
- You may reuse functions you yourself developed throughout this semester in this class or from solutions posted on Canvas for
this class.
Problem Description (CCOs #1, 2, 3, 4, 5, 6, 7, 8, 11, 12)
A water tank of radius R = 1.8m with two outlet pipes of radius r₁ = 0.05m and r2 installed at heights h₁ = 0.13m
and h₂ = 1m, is mounted in an elevator moving up and down causing a time dependent acceleration g(t) that must be
modeled as
g(t) = go+a1 cos(2π f₁t) + b₁ sin(2π f₁t) + a2 cos(2π f₂t) + b₂ sin(2π f₂t),
(1)
Figure 1: Water tank inside an elevator
The height of water h(t) in the tank can be modeled by the following ODE,…
arrow_forward
3. (Make a MatLab code) You have invested money in a bank account that
compounds annually. The interest rate is 6.4%. You want to know the balance of
the account after 5 years. Use an initial balance of $1000.
arrow_forward
I need help with simulink. It is my first time using simulink. I am trying to make a simulink program turning on the LED on the board for 10sec for an Arduino Mega 2560. I have attached an image of what I tried to do. After I run, it just says no diagnostic. How do I know if I did this correctly or not?
arrow_forward
Please follow the instructions and the requirements according to the pictures above and I kinda need the solution quickly. The language of the code is in Matlab, thank you in advance.
arrow_forward
Matlab coding
arrow_forward
SEE MORE QUESTIONS
Recommended textbooks for you

Principles of Heat Transfer (Activate Learning wi...
Mechanical Engineering
ISBN:9781305387102
Author:Kreith, Frank; Manglik, Raj M.
Publisher:Cengage Learning
Related Questions
- 4. Documents business requirements use-case narratives.for only one process note: please i want Documents like this in picarrow_forward-The exam is open adopted textbook, open class notes (posted notes and solutions on the class' Canvas site only) and you may use Matlab's build-in help system, but only to look up Matlab syntax questions; - no collaboration is allowed; no help, including the tutoring center, may be sought to solve the problems; - exam questions may only be asked to the instructor via private Ed Discussion posts or during the instructor's office hours; - for non Matlab Grader problems, document all steps you took to solve the problem. This can be handwritten, but must be legible for credit. If the problem states 'By hand', do not use any script/function to actually solve the problem, however, you may use a non-programmable calculator or script/functions coded in this class to help in verifying the numerical results of individual steps; - on Gradescope associate/select your answer pages with the corresponding problem numbers. Failure to do so may result in no points given initially and will require a…arrow_forwardDon't Use Chat GPT Will Upvote And Give Handwritten Solution Pleasearrow_forward
- K mylabmastering.pearson.com Chapter 12 - Lecture Notes.pptx: (MAE 272-01) (SP25) DY... P Pearson MyLab and Mastering Mastering Engineering Back to my courses Course Home Scores Course Homearrow_forwardLearning Goal: To use transformation equations to calculate the plane state of stress in a rotated coordinate system. The normal and shear stresses for a state of stress depend on the orientation of the axes. If the stresses are given in one coordinate system (Figure 1), the equivalent stresses in a rotated coordinate system (Figure 2) can be calculated using a set of transformation equations. Both sets of stresses describe the same state of stress. In order to use the transformation equations, a sign convention must be chosen for the normal stresses, shear stresses, and the rotation angle. For the equations below, a positive normal stress acts outward on a face. A positive Try acts in the positive y-direction on the face whose outward normal is in the positive x-direction. The positive direction for the rotation is also shown in the second figure. The stresses in the rotated coordinate system are given by the following equations: στ σy + cos 20+Try sin 20 2 2 σετ συ = σy' cos 20-Try…arrow_forwardYou are a biomedical engineer working for a small orthopaedic firm that fabricates rectangular shaped fracture fixation plates from titanium alloy (model = "Ti Fix-It") materials. A recent clinical report documents some problems with the plates implanted into fractured limbs. Specifically, some plates have become permanently bent while patients are in rehab and doing partial weight bearing activities. Your boss asks you to review the technical report that was generated by the previous test engineer (whose job you now have!) and used to verify the design. The brief report states the following... "Ti Fix-It plates were manufactured from Ti-6Al-4V (grade 5) and machined into solid 150 mm long beams with a 4 mm thick and 15 mm wide cross section. Each Ti Fix-It plate was loaded in equilibrium in a 4-point bending test (set-up configuration is provided in drawing below), with an applied load of 1000N. The maximum stress in this set-up was less than the yield stress for the Ti-6Al-4V…arrow_forward
- mylabmastering.pearson.com Chapter 12 - Lecture Notes.pptx: (MAE 272-01) (SP25) DY... P Pearson MyLab and Mastering Scoresarrow_forwardI am having trouble with the folloiwng MATLAB code. I am getting an error that says "unrecognized function or variable 'numericalPropogatorOptions". I have the aerospace toolbox and the aerospace blockset added. what add on do I have to download to use that function. How do I make this code work? % Define Keplerian Elements a = 29599.8; e = 0.0001; i = 0.9774; Omega = 1.3549; w = 0; M = 0.2645; [RECI, VECI] = Kepler2RV(a, e, i, Omega, w, M); initialState = [RECI * 1e3; VECI * 1e3]; % Initial position (m) and velocity (m/s) % Define constants mu = 3.986004418e14; % Gravitational constant (m^3/s^2) earthRadius = 6378.1363 * 1e3; % Earth radius in meters j2 = 1.08263e-3; % J2 perturbation coefficient % Define propagator options propOptions = numericalPropagatorOptions('CentralBody', 'Earth', ... 'GravitationalParameter', mu, ... 'InitialState', initialState, ... 'OutputTimeStep', 300); % Output every 300 seconds % Add perturbations addGravityModel(propOptions, 'Degree', 2,…arrow_forwardI want to run the SGP4 propagator for the ISS (ID = 25544) I got from spacetrack.org in MATLAB. I don't know where to get the inputs of the function. Where do I get the inFile and outFile that is mentioned in the following function. % Purpose: % This program shows how a Matlab program can call the Astrodynamic Standard libraries to propagate % satellites to the requested time using SGP4 method. % % The program reads in user's input and output files. The program generates an % ephemeris of position and velocity for each satellite read in. In addition, the program % also generates other sets of orbital elements such as osculating Keplerian elements, % mean Keplerian elements, latitude/longitude/height/pos, and nodal period/apogee/perigee/pos. % Totally, the program prints results to five different output files. % % % Usage: Sgp4Prop(inFile, outFile) % inFile : File contains TLEs and 6P-Card (which controls start, stop times and step size) % outFile : Base name for five output files %…arrow_forward
- Look up the Arduino Mega 2560. Document the steps how to work with the Arduino in Matlab and Simulink. Make a simulink program turning on the LED on the board for 10sec. Explain your program, comment on your findings and explain how to test it on the actual hardware.arrow_forwardI need to adapt a real-life system to this assignment. It doesn't need to be a very complicated system. I am a senior mechanical engineering student. I need help with my mechanical theory homeworkarrow_forwardProblem 3 (40 points) (CCOs 1 & 3)/MatlabGrader On Canvas, you will find a Matlab function file process.p that takes as input the variable x and returns as output the result of a complicated process g (x). Copy the file into your working directory and use it as any other Matlab .m file or build-in intrinsic Matlab function (just call it using its name process). The only difference between a .p and a .m file is that the source code of the .p file is not visible. Find all roots of g(x) in the interval 0 ≤ x ≤ 10 to a tolerance in function of at least 10-10 using mySecant from problem 2. Recall that any .m or .p function file can be passed as an argument into another function by prefacing the function name by a @, e.g., @process can be passed as an argument into any Matlab function that uses a function as an input argument, for example fplot(@process,...) for plotting a function. Store all found unique roots in a column vector root, the corresponding tolerances in function in a column…arrow_forward
arrow_back_ios
SEE MORE QUESTIONS
arrow_forward_ios
Recommended textbooks for you
- Principles of Heat Transfer (Activate Learning wi...Mechanical EngineeringISBN:9781305387102Author:Kreith, Frank; Manglik, Raj M.Publisher:Cengage Learning

Principles of Heat Transfer (Activate Learning wi...
Mechanical Engineering
ISBN:9781305387102
Author:Kreith, Frank; Manglik, Raj M.
Publisher:Cengage Learning