SSLV160 - bi--supported Beam subjected to a nodal force on its neutral fiber

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Alban Perry
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1 Titre : SSLV160 - Poutre bi-appuyée soumise à une force no[...] Date : 24/07/2014 Page : 1/8 SSLV160 - bi--supported Beam subjected to a nodal force on its neutral fiber Abstract: This test makes it possible to validate the connection between models 1D and 3D, in the frame Harlequin (3D_POU_ARLEQUIN) [1]. It is about a model of beam hurled on two bearings, subjected to a nodal force. The results of computations are compared with those obtained by Code_aster with a model of 1D and a mixed model 1D-3D connected with option 3D_POU. The results coincide perfectly with the solutions.

possible to validate the connection between models 1D and 3D, in the frame Harlequin (3D_POU_ARLEQUIN) [1].

2 Titre : SSLV160 - Poutre bi-appuyée soumise à une force no[...] Date : 24/07/2014 Page : 2/8 1 Problem of the purpose of this case test is to validate the connection Harlequin Beam-3D in Code_Aster. One compares the results got with those resulting from two modelizations in Code_Aster: mono-modelization of mixed 1D modelization of 1D-3D with connection 3D_POU 1.1 Geometry One X considers a slender thin structure length 0,25 m according to the axis and of circular section. It is leaned on its two ends located respectively at the positions -0,1 m (bearing 1) and 0,15 m (bearing 2). The radius of the section is equal to 0,005 Mr. 1.2 Material properties Image 1.1-1: Geometry of the rotor the bi--supported beam has a density of =7 800kg /m 3. The Young's modulus is E= N m 2 and the Poisson's ratio is =0, Boundary conditions and loadings the beam rests on two infinitely rigid bearings: DX = DY = DZ = 0 on the level of bearing 1 DX = DY = DZ = 0 on the level of bearing 2 Also, the rigid body motion of rotation according to the axis of the beam is blocked (DRX = 0) on all structure.

1 Geometry One X considers a slender thin structure length 0,25 m according to the axis and of circular section.

3 Titre : SSLV160 - Poutre bi-appuyée soumise à une force no[...] Date : 24/07/2014 Page : 3/8 2 Reference solution the solution is resulting from a computation 1D carried out with Code_Aster (cf modelization C). [1] A. Ghanem, Contribution to the advanced modelization of the revolving machines in transient dynamics in the frame Harlequin, thesis of the INSA of Lyon.

computation 1D carried out with Code_Aster (cf modelization C). [1] A.

4 Titre : SSLV160 - Poutre bi-appuyée soumise à une force no[...] Date : 24/07/2014 Page : 4/8 3 Modelization A 3.1 Characteristic of the modelization the bi--supported structure length 0,25 m, extending between X = -0,1 m and X = 0,15 m, is connected in volume in the zone of covering, which extends between the positions 0,0 m and 0,05 m, to a model 3D by option 3D_POU_ARLEQUIN of key word LIAISON_ELEM of operator AFFE_CHAR_MECA. It is modelled by beam elements of Timoshenko (POU_D_T) and voluminal elements linear (PENTA6 and HEXA8). Image 3.1-1: Mesh of voluminal model 3D DYNA_LINE_TRAN N calculates the dynamic response of structure during 3 S, due to a nodal force of a value equal to 100 on the node of the mesh 3D located at X = 0,02 Mr. 3.2 Caractéristiques of the mesh Number of meshes HEXA8 150 Number of meshes PENTA6 50 Number of meshes POU_D_T Quantities tested and results Table the tables below give the numerical values tested in this benchmark. They is displacements minimal and maximum in Z of a node of the mesh 3D located at X = 0,04 Mr. Standard Identification Times of the maximas of minimal Displacement in Z 2,205 s'autre_aster maximum Displacement in Z 2,700 s'autre_aster Value of Tolerance % % Table 3.3-1: Summary of the results tested the responses of the models 1D and mixed 1D-3D of structure are represented on the graph below.

positions 0,0 m and 0,05 m, to a model 3D by option 3D_POU_ARLEQUIN of key word LIAISON_ELEM of operator AFFE_CHAR_MECA.

5 Titre : SSLV160 - Poutre bi-appuyée soumise à une force no[...] Date : 24/07/2014 Page : 5/8 Image 3.3-2: Responses of the models 1D and mixed 1D-3D

6 Titre : SSLV160 - Poutre bi-appuyée soumise à une force no[...] Date : 24/07/2014 Page : 6/8 4 Modelization B 4.1 Characteristic of the modelization the bi--supported structure length 0,25 m, extending between Z = -0,1 m and Z = 0,15 m, is connected in volume in the zone of covering, which extends between the positions 0,0 m and 0,05 m, to a model 3D by option 3D_POU_ARLEQUIN of key word LIAISON_ELEM of operator AFFE_CHAR_MECA. It is modelled by beam elements of Timoshenko (POU_D_T) and voluminal elements linear (PENTA6 and HEXA8). DYNA_LINE_TRAN N calculates the dynamic response of structure during 3 S, due to a nodal force of a value equal to 100 on the node of the mesh 3D located at X = 0,02 Mr. 4.2 Caractéristiques of the mesh Number of meshes HEXA8 150 Number of meshes PENTA6 50 Number of meshes POU_D_T Quantities tested and results Table the tables below give the numerical values tested in this benchmark. They is displacements minimal and maximum in Z of a node of the mesh 3D located at X = 0,04 Mr. Standard Identification Times of the maximas of minimal Displacement in Z 2,205 s'autre_aster maximum Displacement in Z 2,700 s'autre_aster Value of Tolerance % % Table 4.3-1: Summary of the results tested

7 Titre : SSLV160 - Poutre bi-appuyée soumise à une force no[...] Date : 24/07/2014 Page : 7/8 5 Modelization C 5.1 Characteristic of the modelization the structure is entirely modelled by beam elements of Timoshenko (POU_D_T). It is supported on the level of its two ends. DYNA_NON_LINE N calculates the dynamic response during 3 S, due to a nodal force of a value equal to 100 on the node of the mesh 3D located at X = 0,02 Mr. 5.2 Caractéristiques of the mesh Number of meshes POU_D_T Quantities tested and results Table the tables below give the numerical values tested in this benchmark. They is displacements minimal and maximum in Z of a node of the mesh 3D located at X = 0,04 Mr. Standard Identification Times of the maximas of minimal Displacement in Z 2,2115 s'non_regression maximum Displacement in Z 2,7065 s'non_regression Value of Tolerance % % Table 5.3-1: Summary of the results tested

DYNA_NON_LINE N calculates the dynamic response during 3 S, due to a nodal force of a value equal to 100 on the node of the mesh 3D located at X = 0,02 Mr. 5.

8 Titre : SSLV160 - Poutre bi-appuyée soumise à une force no[...] Date : 24/07/2014 Page : 8/8 6 Summary of the results the benchmark implements in Code_Aster voluminal connection 1D-3D in the frame Harlequin on the basis of bi--supported slender structure. The results of the resulting mixed model are compared compared to the results got with a model of are equivalent 1D and a mixed model 1D-3D connected with option 3D_POU of key word LIAISON_ELEM of operator AFFE_CHAR_MECA of Code_Aster.

1D-3D in the frame Harlequin on the basis of bi--supported slender structure.

SSLV105 - Stiffening centrifuges of a beam in rotation

Titre : SSLV105 - Raidissement centrifuge d'une poutre en [...] Date : 19/09/2011 Page : 1/6 SSLV105 - Stiffening centrifuges of a beam in rotation Summarized: Test of Structural mechanics in linear static