Annotation of OpenXM_contrib/gnuplot/demo/hexa.fnc, Revision 1.1.1.1
1.1 maekawa 1: #
2: # Use this function to fit sound velocity data as function of
3: # sound propagation direction, indicated by its angle against the
4: # z-axis of an hexagonal symmetry coordinate system
5: #
6: # Adjustable parameters:
7: #
8: # c33, c11, c13, c44 elastic moduli - materials constants
9: # phi0 angle offset
10: #
11: # HBB 970522: factored out common factor 1e9 from c?? into the
12: # function, to improve the fit convergence. Fit parameters were
13: # just too grossly different before.
14:
15: rho = 1000.0 # density in kg/m3
16:
17: phi(x) = (x - phi0)/360.0*2.0*pi
18:
19: main(x) = c11*sin(phi(x))**2 + c33*cos(phi(x))**2 + c44
20: mixed(x) = sqrt( ((c11-c44)*sin(phi(x))**2 \
21: +(c44-c33)*cos(phi(x))**2)**2 \
22: +(2.0*(c13+c44)*sin(phi(x))*cos(phi(x)))**2 )
23:
24: vlong(x) = sqrt(1.0/2.0/rho*1e9*(main(x) + mixed(x)))
25: vtrans(x) = sqrt(1.0/2.0/rho*1e9*(main(x) - mixed(x)))
26:
27: # When we read the file in, we set y=index, and we use
28: # y in this (pseudo) 3d fit to choose an x function
29:
30: f(x,y) = y==1 ? vlong(x) : vtrans(x)
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