4. B modeling#
4.1. Characteristics of modeling#
The beam consists of a single mesh.
The modeling used for the beam is that of Euler-Bernoulli (POU_D_E).
The \(A\) end is embedded:
4.2. Characteristics of the mesh#
Number of knots: 2
Number of meshes and types: 1 mesh of type SEG 2
The characteristic points of the mesh are as follows:
4.3. Quantities tested (real/imaginary shape)#
Problem 1: traction (real distributed effort: zero imaginary part)
Point/Size |
Reference value |
Reference type |
Precision (%) |
|||
displacement |
B |
DX |
(5.318 10—5, 0. ) |
“ANALYTIQUE” |
0.05 |
|
speed |
B |
DX |
(0., 3.341 10—3) |
“ANALYTIQUE” |
0.05 |
|
acceleration |
B |
DX |
(—2.099 10—1, 0. ) |
“ANALYTIQUE” |
0.05 |
|
generalized effort |
B |
N |
N |
(3000., 0. ) |
“ANALYTIQUE” |
0.05 |
Problem 2: traction (complex distributed effort: zero real part)
Point/Size |
Reference value |
Reference type |
Precision (%) |
|||
displacement |
B |
DX |
(0., 5.318 10—5) |
“ANALYTIQUE” |
0.05 |
|
speed |
B |
DX |
(-3.341 10—3, 0. ) |
“ANALYTIQUE” |
0.05 |
|
acceleration |
B |
DX |
(0., —2.099 10—1) |
“ANALYTIQUE” |
0.05 |
|
generalized effort |
B |
N |
N |
(0., 3000. ) |
“ANALYTIQUE” |
0.05 |
Problem 3: traction + damping (real distributed effort: zero imaginary part)
Point/Size |
Reference value |
Reference type |
Precision (%) |
|||
displacement |
B |
DX |
(5.296 10—5, —3.363 10—6) |
“ANALYTIQUE” |
DX |
0.05 |
speed |
B |
DX |
(2.113 10—4, 3.327 10—3) |
“ANALYTIQUE” |
0.05 |
|
acceleration |
B |
DX |
(—2.091 10—1, 1.327 10—2) |
“ANALYTIQUE” |
0.05 |
|
generalized effort |
B |
N |
N |
(2.9879 103, —1.897 102) |
“ANALYTIQUE” |
0.05 |
Problem 4: flexure + damping (complex distributed force: zero real part)
Point/Size |
Reference value |
Reference type |
Precision (%) |
|||
displacement |
B |
DX |
(3.363 10—3, 5.296 10—5) |
“ANALYTIQUE” |
0.05 |
|
speed |
B |
DX |
(-3.327 10—3, 2.113 10—4) |
“ANALYTIQUE” |
0.05 |
|
acceleration |
B |
DX |
(-1.327 10—2, -2.091 10—1) |
“ANALYTIQUE” |
DX |
0.05 |
generalized effort |
B |
N |
N |
(1.897 102, 2.9879 103) |
“ANALYTIQUE” |
0.05 |
When the distributed force is applied as an imaginary part of the load, the reference solution is obtained from that of modeling A by exchanging the real part and the imaginary part and by changing the sign of the new real parts.