MAE 3600 (Fall 2016) Syllabus
Instructor: Roger Fales, PhD.
Office: E3415 Lafferre Hall
Phone: 884-1564
Email: falesr@missouri.edu
TAs:
Tyler (Kyle) Shinn
tas4gb@mail.missouri.edu
Description:
Modeling and analysis of dynamic systems and
introduction to f
Homework #1: MAE 3600 Dynamic Systems and Control, Winter 2017
Due date: Friday, Feb 3, 2017
You are to select an article from the ASME Journal of Dynamic Systems, Measurement, and Control that
reflects the major objectives of MAE 3600 (this journal is fr
Two-Person Graded HW#1
MAE 3600 Dynamic Systems and Control, Winter 2017
Due date: Monday, Feb 13, 2017
Each two-person team will perform the following basic steps for this first graded homework
assignment:
1. Find a journal article or conference paper in
Homework and Design Teams, MAE 3600
Winter 2017
Note: 3-person teams are expected to provide 50% more insight (detail) into
Homework problems and the Design Project (not necessarily 50% more volume)
1. Tyler Menzel, Zach Porter
2. Connor Trout, Matthew Pr
Brendan Wideman
MAE 3600
Kluever
2/17/17
Micro-theme: MEMS Gyroscope
Micro-electro-mechanical systems (MEMS) gyroscopes are a perfect example of the
technological world around us producing something rather small that has endless potential.
Gyroscopes have
Brendan Wideman
MAE 3600
Kluever
1/30/17
Micro-theme: MEMS Gyroscope
MEMS gyroscopes are a perfect example of the technological world around us producing
something rather small that packs quite a punch. Gyroscopes have numerous applications, none more
pro
% Solenoid electrical circuit parameters:
e_in = 10;
% step input voltage
R = 3;
% coil resistance, Ohms
L = 0.005;
% Coil Inductance, Henry
K = 6;
% dL/dx (back-emf and force constant), N/A^2
% Mechanical parameters
m = 0.03;
% armature-valve mass, kg
b
Michael McGivern, ID 141090521
MAE 3600 Dr. Kluever
HW#1 Revised Micro-Theme Report
February 22, 2017
The importance and implementation of all three goals of MAE 3600 is clearly
evident in the ASME Journal article Design and Simulation of Three Degrees-of
Chapter 10: Introduction to
Control Systems
So far our major topics have been:
Modeling physical dynamic systems (obtain ODEs)
Determine the system response to a known input
Now we introduce feedback control systems
The system input depends on the sy
Chapter 2
Chapter 2: Modeling Mechanical Systems
2.1
The free-body diagram (FBD) is shown below, assuming z zin (t ) and z zin (t ) :
m
+z
k(z zin)
Applying Newtons second law (summing positive upward):
F b1 z k ( z zin ) b2 ( z zin ) mz
Rearrange and pu
Chapter 3
Chapter 3: Modeling Electrical and Electromechanical Systems
3.1 The circuit contains two energy-storage elements: inductor L and capacitor C. Therefore,
start with the two respective first-order ODEs:
Inductor: LIL eL
Capacitor: CeC I C
Applyin
Sungsu Park
Department of Aerospace Engineering,
Sejong University,
Kwangjin-gu, Gunja-dong 98,
Seoul, Korea
e-mail: sungsu@sejong.ac.kr
Roberto Horowitz
Department of Mechanical Engineering,
University of California, Berkeley,
Berkeley, CA 94720
e-mail:
Chapter 2: Modeling Mechanical Systems
2.1
The free-body diagram (FBD) is shown below, assuming z zin (t ) and z zin (t ) :
b1 z
+z
m
k(z zin)
b2 z zin
Applying Newtons second law (summing positive upward):
F b1 z k ( z zin ) b2 ( z zin ) mz
Rearrange a
Analysis of a Car Model
under Dynamic Loading
12/5/2014
ChuhaoJia(14227506)
WanyuLai(14227507)
XinJin(14227643)
MaxHorvath(18032047)
1
Introduction
Thefollowingmodelwithsevendegreesoffreedomisadoptedforthestudyofthevibrationofa
carrunningfromasmoothsectio
MAE 3600: Design Project Fall 2016
(Version 1.0)
When children are born prematurely, respiratory support with additional oxygen
is often needed. The baby dynamically responds to disturbances that cause the oxygen in blood
(SpO2) to decrease (significant d
Chapter 7
7.4 In all cases the denominator polynomial (characteristic equation) will have the form
(s r1 )( s r2 ) 0
a) Roots r1 2.5 and r2 0.2 :
( s 2.5)( s 0.2) s 2 2.7 s 0.5 (denominator)
Hence the transfer function has the form G ( s )
c
s 2 .7 s 0 .
Chapter 6: Numerical Simulation of Dynamic Systems
6.1 The mathematical model of the rotational mechanical system is J b 0 . Because we
have non-zero initial conditions we cannot use a transfer function. The Simulink model using the
integrator-block metho
Chapter 5: Standard Models for Dynamic Systems
5.1
The system consists of two first-order ODEs and one second-order ODE. Therefore the
.
system has order n = 4 and we require four state variables: let x1 = , x2 = z, x3 = w, and x4 w
The system input is u
Chapter 4: Modeling Fluid and Thermal Systems
4.7 The fundamental pressure-rate ODE for a compressible hydraulic fluid is
P Qin V
V
Volume V is constant so V 0 .
a) For constant volume, the basic pressure-rate equation becomes P Qin , or CP Qin
V
Hence f
Two-Person Graded HW#2
MAE 3600 Dynamic Systems and Control, Winter 2017
Numerical Simulations and Analytical Solutions
Due date: Monday, March 20, 2017
Each two-person team will perform the following basic steps for the second graded
homework assignment:
Chapter 11: Case Studies in
Dynamic Systems and Control
This final chapter encapsulates the fundamental topics
associated with the modeling, simulation, and control of
dynamic systems by presenting 5 case studies
Most of the cases studies presented here
Chapter 3: Modeling Electrical and
Electromechanical Systems
Electronic circuits and electromechanical devices such
as solenoids and actuators are used extensively by
mechanical engineers for instrumentation and sensors
We will briefly define the proper
Homework Set #2: MAE 3600 Dynamic Systems and Control, Winter 2009 Due date: Friday, February 13, 2009
Problem 1. An electrical circuit is shown below. Derive a model in terms of the appropriate dynamic variables. The voltage source provides the input vol
Design Project I MAE 3600 Dynamic Systems and Control, Winter 2009 Due date: April 24, 2009 You are to design and analyze a dynamic system of your choice. Each two-person team will perform these basic steps: 1. Select a physical, dynamic system that you w
Chapter 6: Numerical Simulation of
Dynamic Systems
So far, we have developed system models in various standard
forms:
State-variable equations (linear or nonlinear)
State-space representation (SSR)
I/O equations
Transfer functions
Next, we will introduc