![](graphics/exit.gif)
![](graphics/map.gif)
![](graphics/index.gif)
![](graphics/about.gif)
![](graphics/dot_clear.gif)
![Previous](graphics/nav_u.gif)
Lab Room |
Theory Map |
Modelling the System |
Governing Equations |
It Can Be Shown That . . .
It can be shown that . . .
Dividing Equation 1 by M yields:
(1")
.
Define the natural frequency,
, as:
(3) ![](graphics/model_2z3.gif)
and the damping ratio,
,as:
(4)
.
Through algebraic manipulation it is clear that:
(2") ![](graphics/model_2z6.gif)
and
(3")
.
Thus Equation 1 can be rewritten as:
(4")
.
Equation 4" can be rewritten as:
(5")
.
- where:
- K is the compliance (=1/k).
By algebraic manipulation, Equation 5" can be rewritten as:
(2)
.
Last Updated: January 16, 2000, beam@bits.me.berkeley.edu
Copyright © 1993-1995, 2000, Pamela A. Eibeck and Brandon Muramatsu
Original WWW Conversion by Winston Wang, 1994
WWW ReConversion by Brandon Muramtasu, 2000