Agilent Technologies Nano Indenter G200 User Manual page 338

Agilent Nano Indenter G200 User's Guide
Figure A-6Harmonic oscillator models
The analysis of a simple harmonic oscillator subject to a forced
oscillation may be found in any first course on differential equations or
vibrations. A force summation on the mass yields the ordinary
differential equation:
where K is an equivalent stiffness, which includes the stiffness of the
contact, S, the load-frame stiffness, K
springs, K ; that is:
s
Continuous Stiffness Measurement A
F t  
mz ·· Dz · Kz
+ + =
, and the stiffness of the support
f
1 – 1 –
 
K = S + K + K
f
(34)
(35)
s
A-9