Theory
| Initial Condition Response
| Step Response
| Impulse Response
System Response
| Complex Frequency Response
| S-Plane Surface
Two
Degree of Freedom System
|
Convolution Integral
A
second-order system is one which can be described by a
second-order differential equation.
The
files listed below are a combination of PDF tutorial documents,
voice annotated tutorial documents (FLASH and AVI), MATLAB Graphical User Interfaces (GUIs), and LabVIEW GUIs. The
MATLAB GUIs are available for both MATLAB 6.5 and 7.0. In addition,
MATLAB .exe files are also available for those without MATLAB and can be used with the
MATLAB Runtime Engine.
See the general MATLAB GUI instruction file below for more
information on system requirements and how to run the
GUIs. The LabVIEW GUI .zip files
contain a stand-alone version which does not require LabVIEW to run.
See the readme in the .zip file for more information.
Each GUI .zip file contains a document of
suggested exercises to be performed with the GUI.
|
General MATLAB GUI
Instruction Download
|
PDF |
Second-Order
Theory
|
Second-Order System Theory
|
PDF |
|
Discussion of the system
equation, homogeneous, and particular solutions for varying amounts
of damping.
|
|
Second-Order Block Diagram
Modeling
|
PDF |
|
Construction of a block
diagram of a second-order system, with an example model and response
shown in Simulink.
|
Second-Order
Initial Condition Response
|
Second-Order Initial
Condition Response
|
PDF |
|
Equations for and plots of
system response to initial displacement, initial velocity, and
combination, for various amounts of damping.
|
|
MATLAB GUI Download
|
M6.5
|
M7.0
|
EXE
|
|
M6.5
and M7.0 open in MATLAB, EXE is a stand-alone GUI |
|
The
user may input m, c, and k values for a second-order system and view
the time response of the system to an initial displacement of -1,
the frequency response, and the root-locus.
|
|
GUI Overview
|
PDF
|
FLASH
|
AVI
|
|
GUI
Assignment
|
PDF
|
FLASH
|
AVI
|
|
FLASH - Streamed
(Requires Plugin) /
AVI - Non Streamed |
|
LabVIEW GUI Download
|
LabVIEW |
|
LabVIEW not needed, zip
file contains set-up for stand-alone GUI |
|
This
GUI allows the user to simulate the free response of a
single-degree-of-freedom (SDOF), second-order system. Mass, damping,
and stiffness are adjustable along with the initial conditions
necessary to provide the response. The time response, frequency
response, and root locus can be viewed.
|
|
GUI Overview
|
PDF |
FLASH |
AVI |
|
GUI Assignment
|
PDF |
FLASH |
AVI |
|
FLASH - Streamed
(Requires Plugin) /
AVI - Non Streamed |
Second-Order
Step response
|
Second-Order Step Response
|
PDF |
|
Definition of step function,
equations for and plots of system response for varying amounts
of damping, how to calculate step response in MATLAB and
Simulink.
|
|
MATLAB GUI Download
|
M6.5
|
M7.0
|
EXE
|
|
M6.5
and M7.0 open in MATLAB, EXE is a stand-alone GUI |
|
The
user may input m, c, and k values of a second-order system, and view
the response of the system to a unit step, along with the frequency
response and the root locus.
|
|
GUI Overview
|
PDF
|
FLASH
|
AVI
|
|
GUI
Assignment
|
PDF
|
FLASH
|
AVI
|
|
FLASH - Streamed
(Requires Plugin) /
AVI - Non Streamed |
|
LabVIEW
GUI Download
|
LabVIEW |
|
LabVIEW not needed, zip
file contains set-up for stand-alone GUI |
|
This
GUI allows the user to simulate the step response of a
single-degree-of-freedom (SDOF), second-order system. Mass, damping,
and stiffness are adjustable along with the initial conditions and
step magnitude. The time response, frequency response, and root
locus can be viewed.
|
|
GUI Overview
|
PDF |
FLASH |
AVI |
|
GUI Assignment
|
PDF |
FLASH |
AVI |
|
FLASH - Streamed
(Requires Plugin) /
AVI - Non Streamed |
Second-Order
Impulse Response
|
Second-Order Impulse Response
|
PDF |
|
Definition of impulse,
equations for and plots of system response for various levels
of damping, calculating impulse response in Simulink and
MATLAB.
|
|
MATLAB GUI Download
|
M6.5
|
M7.0
|
EXE
|
|
M6.5
and M7.0 open in MATLAB, EXE is a stand-alone GUI |
|
The
user may input m, c, and k values for a second-order system, and
then view the impulse response in the time domain, frequency domain,
and root locus.
|
|
GUI Overview
|
PDF
|
FLASH
|
AVI
|
|
GUI
Assignment
|
PDF
|
FLASH
|
AVI
|
|
FLASH - Streamed
(Requires Plugin) /
AVI - Non Streamed |
|
LabVIEW GUI Download
|
LabVIEW |
|
LabVIEW not needed, zip
file contains set-up for stand-alone GUI |
|
This
GUI allows the user to simulate the impulse response of a
single-degree-of-freedom (SDOF), second-order system. Mass, damping,
and stiffness are adjustable, along with the initial conditions and
impulse magnitude. The time response, frequency response, and root
locus can be viewed.
|
|
GUI Overview
|
PDF |
FLASH |
AVI |
|
GUI Assignment
|
PDF |
FLASH |
AVI |
|
FLASH - Streamed
(Requires Plugin) /
AVI - Non Streamed |
General
Second-Order System Response
|
LabVIEW GUI Download
|
LabVIEW |
|
LabVIEW not needed, zip
file contains set-up for stand-alone GUI |
|
This
GUI allows the user to simulate three different responses of a
single-degree-of-freedom (SDOF), second-order system. Mass, damping,
and stiffness are adjustable, along with the initial conditions and
step or impulse magnitude. The time response, frequency response,
and root can be viewed.
|
|
GUI Overview
|
PDF |
FLASH |
AVI |
|
GUI Assignment
|
PDF |
FLASH |
AVI |
|
FLASH - Streamed
(Requires Plugin) /
AVI - Non Streamed |
Second-Order
Complex Frequency Response
|
MATLAB GUI Download
|
M6.5
|
M7.0
|
EXE
|
|
M6.5
and M7.0 open in MATLAB, EXE is a stand-alone GUI |
|
The
user can input m, c, and k values for a second-order system, and
view 5 plots describing the system: real and imaginary components of
the FRF, magnitude, phase, and Nyquist.
|
|
GUI Overview
|
PDF
|
FLASH
|
AVI
|
|
GUI
Assignment
|
PDF
|
FLASH
|
AVI
|
|
FLASH - Streamed
(Requires Plugin) /
AVI - Non Streamed |
S-Plane Surface
|
MATLAB GUI Download
|
M6.5
|
M7.0
|
EXE
|
|
M6.5
and M7.0 open in MATLAB, EXE is a stand-alone GUI |
|
The
user may input m, c, and k values for a second-order system, and
choose to view one of 6 different plot types: 3D s-plane, phase
plane, real plane, or imaginary plane, or 2D magnitude/phase or root
locus.
|
|
GUI Overview
|
PDF
|
FLASH
|
AVI
|
|
GUI
Assignment
|
PDF
|
FLASH
|
AVI
|
|
FLASH - Streamed
(Requires Plugin) /
AVI - Non Streamed |
Two Degree of Freedom System Response
|
Two Degree of
Freedom Forced Vibration Theory
|
PDF |
|
Discusses the theory behind modeling
two degree of freedom systems
|
|
LabVIEW
GUI Download
|
LabVIEW |
|
LabVIEW not needed, zip
file contains set-up for stand-alone GUI |
|
This
GUI presents the response of a two degree of freedom system to
various inputs through the example of a unbalanced motor
attached to either degree of freedom.
|
|
GUI Overview and Assignment |
PDF |
|
|
Convolution Integral
|
Convolution
Theory
|
PDF |
|
Discusses the theory behind the
convolution integral
|
|
LabVIEW
GUI Download
|
LabVIEW |
|
LabVIEW not needed, zip
file contains set-up for stand-alone GUI |
|
Two GUIs which present the convolution integral using both two
arbitrary signals and a SDOF system
|
|
GUI Overview and Assignment |
PDF |
|
|
We
would greatly appreciate any feedback
you can provide to us about whether you have found this material
useful.
cc_rev_071306
|
