pafec reference scripts: Resonance frequencies of a disk.

CONTROL
AXISYMMETRIC
CONTROL.END

PARAMETERS
'r' = 0.1
't' = 0.01

NODES
NODE X Y
1 0 <'r'>
2 <'t'> <'r'>
3 0 0
4 <'t'> 0

PAFBLOCKS
BLOCK TYPE ELEM GROUP PROP N1 N2 TOPO
1 1  36210 1 11 4 20 1 2 3 4

MODES.AND.FREQUENCIES
AUTO MODES
200 20

FULL.DYNAMICS.OUTPUT
TYPE START FINISH STEP
4 1 1E6 1

PLATES.AND.SHELLS
PLATE MATERIAL
11 4

END.OF.DATA

Results from PHASE 7:

FREQUENCY  PERCENTAGE

 NUMBER      ERROR

-----------------------

   1        0.00

   6        0.03

  11        0.09

  12        0.11

MODE  FREQUENCY

  1   0.0159008

  2   2211.8861122

  3   9009.1228360

  4   17691.5023129

This was used to demonstrate the approximate relation,

f0 \propto t sqrt(E) / (sqrt(rho) * r**2)

and the mode-shapes below.