3. Modeling A#

3.1. Characteristics of modeling#

Modeling AXIS_FOURIER, mesh QUAD8

F

A E B

D

C

R

Z

G

_images/10000000000003140000055338BAA350495E5603.png

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Uniform temperature field \({T}_{0}\mathrm{=}1\).

Breakdown:

80 elements depending on the length

2 elements along the radius

Node name:

\(A\mathrm{=}\mathit{N1}\)

\(B\mathrm{=}\mathit{N2}\)

\(C\mathrm{=}\mathit{N3}\)

\(D\mathrm{=}\mathit{N4}\)

\(E\mathrm{=}\mathit{N9}\)

\(F\mathrm{=}\mathit{N171}\)

\(G\mathrm{=}N71\)

3.2. Characteristics of the mesh#

Number of knots: 645

Number of meshes and types: 160 QUAD8

3.3. Tested sizes and results#

Location

Value Type

Reference Type

Reference Values

% Tolerance

Charge in \(\mathrm{cos}\theta\)

Point \(G\)

\({u}_{r}(m)\)

\({u}_{\theta }(m)\)

SOURCE EXTERNE

0.96 x 10—5 0.15 x 10—5

0.10 0.10

Load in \(\mathrm{sin}2\theta\)

Point \(G\)

\({u}_{r}(m)\)

SOURCE EXTERNE

0.544426 x 10—5

0.10

Total load

Point \(G\)

\({u}_{r}(m)\)

\({u}_{\theta }(m)\)

SOURCE EXTERNE

1.50748 10—5 1.52412 10—5

0.10 0.10

3.4. note#

Reference finite element model: 640 shell elements with 8 knots (10 elements along the length — 64 elements according to the circumference).