UMASS Lowell - ME 22.451
Dynamic Systems

O
University of Massachusetts Lowell
ME22.451 Dynamic Systems
Download Page -- Updated 12/03/2006 5:00pm

NOTICES



CRITICAL NOTICES will be posted here.

This page is no longer kept up to date

Go to 22.451 Dynamic Systems Course Log On Page

CRITICAL NOTICE

Two sets of GUIs on 1st Order Filter Response and 2nd Order System Response have been posted to the webpage. It is strongly advised that you look at these GUIs to help your understanding of the material presented in class.

There are also two Flash voice annotated files that show an actual measurement of a first and second order system that would be good to review.

END NOTICES


Syllabus for ME 22.451 Fall 2006
Lectures and Homework Problems is a list of the lecture topics along with corresponding homework problems assigned. All of the assignments are posted so you can work on them earlier if desired. Please note that the homeworks are in this file and not from Palm's text !!! Homeworks will generally be due one week following the material as it is covered in class. Due dates will be posted on webpage.

Confused about English Units??? Look at this if you need further clarification.
Here are the tutorials and reference material covered in class.
Basic Simulink is an introductory overview of the procedural navigation to use Simulink.
Creating a 1st and 2nd order system walks through the process of creating these basic fundamental systems.
List of Matlab Commands contains a collection of useful MATLAB commands needed for this course.
Simulink Blocks contains a collection of useful Simulink Blocks needed for development of a Simulink model.
Simulink to Excel contains some notes on importing and exporting Simulink models to MATLAB and Excel.

Brief Overview of MATLAB covered in class 9/20/05 (needs Flash Plugin loaded)
Brief Overview of Simulink covered in class 9/20/05 (needs Flash Plugin loaded)

Here are some additional tutorials of interest
Simulink Tutorial from UMICH
Another Simulink Tutorial from "Dynamic Modeling and Control of Engineering Systems" by Shearer, Kulakowski and Gardner

HOMEWORK ASSIGNMENTS
Due 9/12/06 - Prob 1.1 to 1.7, 1.11, 1.12, 1.14
Due 9/19/06 - Prob 1.16, 1.17, 1.18, 1.19 1.20, 1.21
Due TBD (not assigned) - WOW (an extra credit assignment) - Make a Simulink Model for 1.19 and 1.20 (try pieces you know you can do)
Due TBD (not assigned) - Example 1.17, 1.18, 1.19 in VU text (not assigned - although you need to know how to do these)
Due 10/3 - Prob 1.27, 1.28, 1.30, 1.34, 1.35, 1.43, 1.44, 1.47, 1.52, 1.60
Due TBD - Prob 3.4, 3.11 (3.5 and 3.15 are not required)
Due 10/24 - Prob 4.1, 4.2, 4.3, 4.4
Due 10/24 - Prob 4.21, 4.22, 4.24, (4.25 not posted and not required)
Due 10/24 - Prob 4.55, 4.35, 4.42
Due TBD - Prob 5.1 - Make sure you know how to do these problems
Due TBD - Prob 5.6 - Make sure you know how to do these problems
Due TBD - Prob 6.5, 6.6 - Make sure you know how to do these problems
Due TBD - Prob 7.1, 7.2, 7.6, 7.13(a)(b) (these are suggested problems that will NOT be graded but are recommended for solution)
Due TBD - Prob 10.2, 10.3, 10.4, 10.5, 10.13, 10.22 (these are suggested problems that will NOT be graded but are recommended for solution)

PROJECT ASSIGNMENTS
This section identifies the Project Assignments. As the projects are updated, I will post them but I will also leave the project writeups from last year until they are also updated

PROJECT #1 is an INDIVIDUAL project effort - due 10/12/06.

PROJECT #2 updated is an GROUP effort
Project due November 9th in class - no exceptions.
GROUPS.
Data set 1130_JA_KF_RL_AP_SP
Data set 1140_AB_AF_TL_JR_ERW
Data set 1150_NB_MG_AM_TR
Data set 1200_CB_KG_CM_ERE
Data set 1210_KB_JG_MM_DS
Data set 1220_JB_KH_JM_AS
Data set 1230_PB_GH_JM_JS
Data set 1240_JC_JK_CM_JT
Data set 1250_AC_HK_DN_LN
Data set 0100_JC_NL_AN_COD

AUTOVOTE form is contained here.
It must be handed in separately from the report, in class, in a sealed envelop.
If there is no form then I assume even distribution of work and effort has been achieved in your group from your perspective


OPTIONAL PROJECT #3 is due Dec 7th and is an INDIVIDUAL project effort.
LTI Viewer notes if using MATLAB 7.0

Please note that this is not a formal report. All that is needed is a one page cover memo with the model described and results requested in project provided.


There are two LabVIEW GUIs that may help with your understanding of second order system response for different loadings. Download this stand-alone LabVIEW module if you are trying to run this on your own machine 2nd_ord_System_Resp_LabVIEW_EXE_102306
or if you are trying to run on the computers here at UML Engineering run this LabVIEW VI 2nd_ord_System_Resp_LabVIEW_VI_102306. There are instructions for loading the GUIs as well as a brief assignment that you may want to view. And if for some reason you can not get either of these loaded, there are two Flash files here Brief Overview of LabVIEW Second Order GUI (needs Flash Plugin loaded) Brief Overview of LabVIEW Second Order GUI assignment (needs Flash Plugin loaded)

There are two LabVIEW GUIs that may help with your understanding of RC filters. Download this stand-alone LabVIEW module if you are trying to run this on your own machine RC_Filter_LabVIEW_EXE_GUI_112806
or if you are trying to run on the computers here at UML Engineering run this LabVIEW VI RC_Filter_LabVIEW_VI_GUI_112906. There are instructions for loading the GUIs as well as a brief assignment that you may want to view. And if for some reason you can not get either of these loaded, there are two Flash files here Brief Overview of LabVIEW RC Filter GUI (needs Flash Plugin loaded) Brief Overview of LabVIEW RC Filter GUI assignment (needs Flash Plugin loaded)

A simple low pass filter is also simulated with an analog circuit. The Bode plot and time response is shown from a measurement made on the system. The first clip discusses the Bode plot and 3dB rolloff point with corresponding phase shift. RC Circuit with 13.1 Hz cutoff
The second clip shows the time response and relative phase shift observed as a sine wave frequency is varied. RC Circuit Time Response


A simple 3 dof mechanical system is also simulated with an analog circuit (referred to as the blue box). The Bode plot and time response is shown from a measurement made on the system. The first clip discusses the Bode plot as a sine wave excitation starts from below the first resonant frequency and approaches the resonant frequency. Blue Box Bode 12 Hz
The second clip shows the time response over the same frequencies which start below the resonance and then approach the resonance. The force is constant and the displacement amplitude increases as the input approaches resonance – notice that below resonance the two signals are in phase but as the input approaches resonance the amplitude has a phase shift as the excitation approaches resonance. (the input is shown in the upper trace and the output in the lower trace) Blue Box Bode time upper/lower
The third clip shows the time resonance overlaid in the plot Blue Box Bode time overlay



Confused about English Units??? Look at this if you need further clarification.

This section contains material that has been already handed out in class or is only available in electronic format. Most of the material here has been prepared in Adobe PDF format.

These are non-printable PDF files of my notes I used for class. I am providing them as an additional resource to you. They have just been newly generated and may have some ommissions or minor errors that will be corrected as time progresses. They will also be updated, expanded and uploaded as I prepare more material.
[ 1 - Introduction ] [ 2 - Mathematical Topics ] [ 3 - System Representation ] [ 4 - Mechanical Systems ] [ 5 - Electrical Systems ] [ 6 - ThermoFluid Systems ] [ 7 - Block Diagrams ] [ 8 - System Response ] [ 9 - Controls ] [ Some Brief MATLAB notes ] [ Useful Tables and Formulas ] [ Equation cheat sheet ] is printable and can be used for the test.
The old handwritten notes are also available.
Do Not Ask For a Printable Copy !!!
[ Chapter 1 notes ] [ Chapter 3 notes ] [ Chapter 4 notes ] [ Chapter 5 notes ] [ Chapter 6 notes ] [ Chapter 7 notes ] [ Chapter 9 Notes ] [ Chapter 10 Notes ]
The John Hopkins University - Signals, Systems, Control page has some excellent demonstrations (http://www.jhu.edu/~signals/)
Fourier Series approximations gives a good presentation to describe the overall concept
S-Plane Exploration shows the response effects as system parameters are varied
Sampling and Filtering is shown here
A set of useful links to related material is listed below
Report Writing Information with guidelines for generation of technical reports
Dr Pennell's Page on Differential Equations with some useful MATLAB example files
Dr White's Page on Differential Equations with some useful MATLAB example files
MATLAB Educational Sites on UMAINE webpage
MATLAB/Simulink Resources on FSU webpage
Simulink Tutorials on UMICH webpage
A set of useful notes from Steve Pennell - Thanks Steve
Constant Coefficient Method from Pennell
Undetermined Coefficient Method from Pennell
First Order Solutions from Pennell
Example Solution from Pennell
Final Exam Solution from Pennell
For any problems, contact Peter_Avitabile@uml.edu
or come to my office during office hours (but at times they may appear complex !!!)

Go to Peter Avitabile's Mechanical Engineering Home Page
Go to Mechanical Engineering's Home Page
Peter Avitabile - Revision 12/03/2006 5:00pm