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Agilent Technologies Nano Indenter G200
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Continuous Stiffness Measurement A
Agilent Nano Indenter G200 User’s Guide A-9
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:
(34)
where K is an equivalent stiffness, which includes the stiffness of the
contact, S, the load-frame stiffness, K
f
, and the stiffness of the support
springs, K
s
; that is:
(35)
mz
··
Dz
·
Kz++ Ft=
KS
1
K
f
1
+K
s
+=

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