Principle of
Physical Modeling
MECH431: Dynamic System Analysis
Lecture 1
Sunday, September 15, 13
1
Todays Goals
You should be able to
use a systematic methodology for modeling
complex systems
model simple mechanical, electrical and
hydraulic systems
Electrical Systems
MECH432: Dynamic System Analysis
04
Todays Goals
You should be able to
Model Electrical Systems
Across and Through
Variables
Mechanical System
Electrical System
Fluid System
Power
P = Fv
P = v12i
P = p12Q
Energy Dissipation
Mechanical
1st and 2nd Order
Systems
MECH432: Dynamic System Analysis
06
1
Various forms of solutions
So far we have been exposed to two methods
of formulating a problem:
State variable solutions
Input output differential equations
We proposed solving these meth
Principle of
Physical Modeling
MECH431: Dynamic System Analysis
Lecture 2
System Models
Sunday, September 15, 13
1
Todays Goals
You should be able to
Write a model in various forms
Sunday, September 15, 13
As State variables
As Input-output
As a Block Di
Electrical Systems
MECH432: Dynamic System Analysis
04
1
Todays Goals
You should be able to
Model Electrical Systems
2
Electrical Circuits Example
3
Coupling by
Potentiometer
4
Resistive coupling
A variable resistance can be controlled by
mechanical mot
Rotational Systems
MECH432: Dynamic System Analysis
03
1
Todays Goals
You should be able to
Model simple Mechanical Rotational Systems
2
Rotational Systems
3
Variables
: angular displacement in
radians (rad)
Angular displacements are measured
with res