MECH 343 Modeling Dynamic Systems
Fall 2013
Topics
Modeling
Analysis
Design
Positional Servomechanism
Observations
System model is 2nd order
2 poles, no zeros
Assuming parameters in T(s) are positive,
then poles will be in LHP
Steady-state value o
9/23/13
HW 3 help session 9/25, due 9/30
Lab 2 is posted for pre-lab assignment
Second order system example
Consider a uniform rigid bar that is pivoted at one end and connected
symmetrically by two springs at the other end, as shown in the figure below.
MECH 343 Modeling Dynamic Systems
Fall 2013
Lecture 1 Introduction to Dynamic Systems
Monday, August 26, 2013
Purpose of todays lecture:
Introductions
Why are you taking this course?
Introduction to Dynamic Systems
Course policies
Handouts: Course i
10/16/13
Block diagrams and simulation
Block diagram
an interconnection of blocks representing basic
mathematical operations
The overall diagram is equivalent to the systems
mathematical model
Lines interconnecting the blocks represent the
variables d
Week 2
HW 1 is due Thurs night
Covers Chap 3
Help session Wednesday night
Lab 0 this week!
Reports due 1 week after lab session to box
outside Ryon B10
Mechanical systems
Basic (idealized) modeling elements
Interconnection relationships
Physical l
MECH 343 Week 14+
Time domain responses
Feedback control
Final exam review
Time domain responses
Time Response Versus Pole Locations
Once the transfer function of a dynamic system is calculated, it can
almost always be expressed as the ratio of two p
MECH 343: Week 12
Wrap up linearization
Fluid and thermal systems
Lab News
Lab 4 this week (with pre-lab)
Homework News
HW 6 postponed, dropping 1 HW
Combining Electromechanical, linearization, and
fluid/thermal systems
Nonlinear spring example
Fl
MECH 343 Modeling Dynamic Systems
Fall 2013
Topics
Lagranges Method
Frequency Domain Analysis
Control Design
Example: Personal transporter
Example: Personal transporter
with Lagrange
Frequency domain analysis
We have talked extensively about the time
9/30/13
General solution to first order ODE
Write the ODE equation (model)
Transform and evaluate initial conditions
Solve algebraic equations for the transform of the dependent variable
Evaluate the inverse transform
Parts of the solution
Homogeneo