PROJECT 6: Matlab Programming
Vibration Isolation
Problem Statement
Solve the 1 degree of freedom problem for the forced vibration of a
single mass/damper/spring system.
(Keep your Problem 5 program intact)
Use an input file which allows you
to change values of:
a) the stiffness coefficient
b) the weight of the mass
c) the damping factor
d) frequency and amplitude of the sinusoidal forcing function P(t) acting
directly on the mass.
e) the time span
1. Determine from matlab code output
(not graphs), steady state values of Magnification factor (kXo/Po) and
Force transmissibility(F) vs the frequency ratio given below. Compare with
exact values.
frequency
ratio |
Zeta |
Magnification
ratio |
Phase angle |
Transmissibility |
| |
|
exact |
calc |
exact |
calc |
exact |
calc |
| .5 |
.5 |
|
|
|
|
|
|
| 1 |
.5 |
|
|
|
|
|
|
| 2^0.5 |
.5 |
|
|
|
|
|
|
| 3 |
.5 |
|
|
|
|
|
|
2. Show the points you used to determine the values above on graphs (amplitude
vs time) from your ode solution.
Due: Mar 25, 9:00 AM