Analysing the 6mm Radial Mode
The radial mode can be analysed in 3 ways. The first is the
traditional analysis with the mouse where the user is required to
specify seven points in the resonance spectrum to be used in the
analysis. The second requires the user to specify the position of the
fundamental resonance peak. PRAP will then determine material
properties for the minimum norm. The third automatically locates the
fundamental resonance peak within a specified range of frequency and
then analyses for the minimum norm.
As an example, the following is a description of analysing the radial
extensional resonance of the file RADE.PZF included with the PRAP
demonstration. For all types of analysis;
Select the Open command from the File menu Within the Open File dialogue box, go to the
Samples sub directory and load RADE.PZF. Note that this is a
generated spectrum. Ensure Radial Extensional is selected from the
Analysis menu. From the Window menu, select whether individual
data points are plotted (indicated by open red circles), and whether
data points are joined (by black solid lines). Also select whether
the real part of the graph should be displayed in a linear or
logarithmic scale. Select the (Rw, Xw)
representation from the Transform menu.
To Analyse with the Mouse
Select what is to be determined in the analysis. Select the Analysis
Settings command from the Analysis menu. Select the Options tab.
Using the available check boxes, select one or more of the following options;
Determine material constants Determine complex circuit constants Determine Van Dyke's circuit constants Automatically locate peak Points to average
The automatic peak location option will select the nearest maximum to
the point clicked in the spectra when selecting the peak to be
analysed. Ensure that 'Determine Parameters for Minimum Norm' is not checked.
Holding down the Ctrl key, click on the fundamental resonance peak to
be analysed with the left mouse button. This must be in the top part
of the spectrum graph. Holding down the Ctrl key, click on the lower side
band position with the left mouse button. This should be near the
maximum in the (G/w, B/w)
representation (f1s). Holding down the Ctrl key, click on the upper side
band position with the left mouse button. This should be near the
minimum in the plot of Xw immediately
above the chosen peak. Holding down the Ctrl key, click on the second
order resonance peak to be analysed with the left mouse button. This
must be in the top part of the spectrum graph. Holding down the Ctrl key, click on the lower side
band position with the left mouse button. This should be near the
maximum in the (G/w, B/w)
representation (f2s). Holding down the Ctrl key, click on the upper side
band position with the left mouse button. This should be near the
minimum in the plot of Xw immediately
above the chosen peak. Holding down the Ctrl key, click on the point used
to evaluate permitivity with the left mouse button. This should in
general be located between the fundamental and second order peak, or
below the fundamental peak.
To Analyse using Minimization of the Norm
Select what is to be determined in the analysis. Select the Analysis
Settings command from the Analysis menu. Select the Options tab.
Using the available check boxes, select one or more of the following options;
Determine material constants Determine complex circuit constants Determine Van Dyke's circuit constants Locate Nearest Peak Determine Parameters for Minimum Norm Points to average
The automatic peak location option will select the nearest maximum to
the point clicked in the spectra when selecting the peak to be
analysed. Ensure that 'Determine Parameters for Minimum Norm' is checked.
Holding down the Ctrl key, click on the fundamental resonance peak
with the left mouse button. This must be in the top part of the
spectrum graph. Analysis will follow immediately.
To Analyse Automatically
Select what is to be determined in the analysis. Select the Analysis
Settings command from the Analysis menu. Select the Options tab.
Using the available check boxes, select one or more of the following options;
Determine material constants Determine complex circuit constants Determine Van Dyke's circuit constants Locate Nearest Peak Determine Parameters for Minimum Norm Points to average
The automatic peak location option will select the nearest maximum to
the point clicked in the spectra when selecting the peak to be
analysed. Ensure that 'Determine Parameters for Minimum Norm' is checked.
While still viewing the Analysis Settings dialogue box, select the
Auto-Analysis tab. Specify the range of frequency within which the
fundamental peak should be located. Select the Auto-Analyse command from the Analysis menu.
When Analysis is Complete
When analysis is complete, the Analysis Results dialogue box appears.
Here the various material properties determined from the length
extensional mode are given.
The resonance spectrum for each selected fit in the Analysis Settings
dialogue box will also be plotted over the original spectrum. The
original data is displayed as open red circles, black solid lines, or
both (o, ---).
The complex material constant fit is displayed as a broken blue line (-----).
The complex circuit constant fit is displayed as a broken green line (-----).
The Van Dyke's circuit model fit is shown as a broken magenta line (-----). |
