3. Modeling A#
3.1. Characteristics of modeling#
The modeling is in POU_D_E beams, plus an element of discrete stiffness DIS_T, without mass.
3.2. Characteristics of the mesh#
Number of knots: 82
Number of meshes and types: 81 SEG2.
3.3. Tested sizes and results#
Natural frequencies
Mode |
Reference value ( \(\mathit{Hz}\) ) |
1 |
1.5491943226358 |
2 |
3.107551438801 |
3 |
9.3245300415725 |
4 |
9.5870612490701 |
5 |
15.547112609525 |
6 |
21.778952588689 |
7 |
26.36518615935 |
8 |
28.023559687023 |
9 |
34.284194672867 |
10 |
40.56369329853 |
11 |
46.864148730311 |
12 |
50.060463212131 |
13 |
53.18629486166 |
14 |
59.528203850076 |
Table 3.3.1-1 : Natural frequencies
3.3.1. 3.3.2 Single-support spectral analysis#
Calculation method
Modal base with the 14 previous modes (\(<60\mathit{Hz}\)) |
Damping reduced by 0.07 for all modes |
Taking into account the static contribution of neglected natural modes |
Combination of dynamic modal responses using the Gupta method (frequency_1: \(14.6\mathit{Hz}\), frequency_2: \(40\mathit{Hz}\)) COMB_MODE =_F (TYPE =” GUPTA “) |
Quadratic combination of directional responses COMB_DIRECTION =_F (TYPE =” QUAD “) |
Table 3.3.2- 1 : Calculation method
Displacements: DEPL (m)
Bow |
Component |
Reference (\(m\)) |
\(H\) |
DX |
3.2396432663129E-03 |
DY |
0.0E+00 |
|
DZ |
1.3091056936155E-03 |
|
DRX |
0.0E+00 |
|
DRY |
1.4915675244137E-04 |
|
DRZ |
0.0E+00 |
|
\(R\) |
DX |
9.4449003235868E-08 |
DY |
0.0E+00 |
|
DZ |
1.5182762043245E-07 |
|
DRX |
0.0E+00 |
|
DRY |
0.0E+00 |
|
DRZ |
0.0E+00 |
|
\(S\) |
DX |
9.056974877545E-06 |
DY |
0.0E+00 |
|
DZ |
7.2126964195151E-06 |
|
DRX |
0.0E+00 |
|
DRY |
1.6632972701712E-06 |
|
DRZ |
0.0E+00 |
|
\(O\) |
DX |
0.0E+00 |
DY |
0.0E+00 |
|
DZ |
0.0E+00 |
Table 3.3.2- 2 : travel
Absolute accelerations: ACCE_ABSOLU (\({\mathit{N.m}}^{\mathrm{-}2}\))
Bow |
Component |
Reference (\({\mathit{N.m}}^{\mathrm{-}2}\)) |
\(H\) |
DX |
0.61824985176146 |
DY |
0.25000000000000 |
|
DZ |
0.56926959473828 |
|
DRX |
0.0E+00 |
|
DRY |
0.0936304357433140 |
|
DRZ |
0.0E+00 |
|
\(R\) |
DX |
0.24879675464209 |
DY |
0.25000000000000 |
|
DZ |
0.24941080125292 |
|
DRX |
0.0E+00 |
|
DRY |
0.0E+00 |
|
DRZ |
0.0E+00 |
|
\(S\) |
DX |
0.20128061437786 |
DY |
0.25000000000000 |
|
DZ |
0.22473145378803 |
|
DRX |
0.0E+00 |
|
DRY |
0.011827974442827 |
|
DRZ |
0.0E+00 |
|
\(O\) |
DX |
0.25000000000000 |
DY |
0.25000000000000 |
|
DZ |
0.25000000000000 |
Table 3.3.2- 3 : absolute accelerations
Nodal reactions: REAC_NODA (\(N\))
Bow |
Component |
Reference (\(N\)) |
\(H\) |
DX |
3.32338062257E-04 |
DY |
9326.6031903447 |
|
DZ |
9.6944351594654E-08 |
|
DRX |
7.7721693252872E+02 |
|
DRY |
8.6738098496576E-05 |
|
DRZ |
0.0E+00 |
|
\(R\) |
DX |
6.0472578414485E-05 |
DY |
9.3266031903447E+03 |
|
DZ |
2.6406108097108E-08 |
|
DRX |
7.7721693252872E+02 |
|
DRY |
1.9606618500589E+07 |
|
DRZ |
0.0E+00 |
|
\(S\) |
DX |
2.8288137175073E-03 |
DY |
1.8653206380689E+04 |
|
DZ |
7.390788273137E-07 |
|
DRX |
0.0E+00 |
|
DRY |
0.0E+00 |
|
DRZ |
0.0E+00 |
|
\(O\) |
DX |
9.4449003235868E+05 |
DY |
0.0E+00 |
|
DZ |
1.5182762043245E+06 |
Table 3.3.2- 4 : Nodal reactions