11. K modeling#
11.1. Characteristics of K-modeling#
Modeling COQUE_SOLIDE:
Number of nodes |
\(2400\) |
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Number of meshes |
\(900\) |
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11.2. Tested sizes and results#
Component |
Nature of clean mode |
Reference \((\mathrm{Hz})\) |
Tolerance (%) |
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I |
order |
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Modes in the plan |
\(\mathrm{FREQ}\) |
\(2\) |
\(\mathrm{4,5}\) |
\(318.36\) |
0.1 |
\(3\) |
\(\mathrm{6,7}\) |
\(900.46\) |
0.26 |
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\(4\) |
\(\mathrm{8,9}\) |
\(1726.55\) |
0.5 |
||
\(5\) |
\(\mathrm{10,11}\) |
\(2792.21\) |
0.9 |
||
Transverse modes |
\(\mathrm{FREQ}\) |
\(2\) |
\(\mathrm{4,5}\) |
\(511.\) |
1.23 |
\(3\) |
\(\mathrm{6,7}\) |
\(1590.\) |
0.42 |
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\(4\) |
\(\mathrm{8,9}\) |
\(3184.\) |
1.75 |
||
We are also testing option MASS_INER of the POST_ELEM command. The total mass of the ring is easy to evaluate analytically:
(11.1)#\[ m=\ rho\ pi\ times\ left ({R} _ {\ text {ext}}} ^ {2} - {R} _ {\ text {int}} ^ {2}\ right)\ times b=\ mathrm {0.0848230016469242}\ mathit {kg}\]
Mass |
Reference |
Precision |
\(m\) |
|
|
The error (very small) comes simply from approximating the curvature by the linear elements.