G. Roebben et al., IMPULSE EXCITATION APPARATUS TO MEASURE RESONANT FREQUENCIES, ELASTIC-MODULI, AND INTERNAL-FRICTION AT ROOM AND HIGH-TEMPERATURE, Review of scientific instruments, 68(12), 1997, pp. 4511-4515
This paper presents a new apparatus to measure elastic properties and
internal friction of materials. The apparatus excites the test specime
n by a light mechanical impact (impulse excitation) and performs a sof
tware-based analysis of the resulting vibration. The resonant frequenc
ies f(r) of the test object are determined and, in the case of isotrop
ic and regular shaped specimens, the elastic moduli are calculated. Th
e internal friction value (Q(-1)) is determined for each f(r) as Q(-1)
=k/(pi f(r)) with k the exponential decay parameter of the vibration c
omponent of frequency f(r). A furnace was designed and equipped with a
utomated impulse excitation and vibration detection devices, thus allo
wing computer-controlled measurements at temperatures up to 1750 degre
es C. The precision of the measured f(r) depends on the size and stiff
ness of the specimen, and varies from the order of 10(-3) (that is +/-
1 Hz at 1 kHz) in soft, high damping materials or light specimens, to
values as precise as 10(-5) (that is +/-0.1 Hz at 10 kHz) in larger or
stiffer specimens. The highly reproducible Q(-1) measurements are acc
urate whenever the relation Q(-1)=k/(pi f(r)) holds. The precision of
the Q(-1) measurement depends on the suspension or support of the spec
imen, and on the specimen size. Since external energy losses are relat
ively smaller for larger specimens, the lower limit of measurable Q(-1
) extends from 10(-3) for small specimens (for example <1 g) down to 1
0(-5) with increasing specimen size. High temperature tests have shown
that Q(-1) can be monitored up to values of about 0.1. (C) 1997 Ameri
can Institute of Physics.