Code_Aster
Titre : SSLP301 – Plaque trapézoïdale sous poids propre
Responsable : Thomas DE SOZA
Version
default
Date : 10/07/2015 Page : 1/6
Clé : V3.02.301
Révision : 13407
SSLP301 – Trapezoidal plate under Summarized
inertia loading:
The purpose of this benchmark is to validate the features making it possible to define the inertia loading in an
analysis in plane stresses.
The loading is applied with key word PESANTEUR (modelization A) and FORCE_INTERNE (modelization B).
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Version
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Code_Aster
Titre : SSLP301 – Plaque trapézoïdale sous poids propre
Responsable : Thomas DE SOZA
1
Problem of reference
1.1
Geometry
Date : 10/07/2015 Page : 2/6
Clé : V3.02.301
Révision : 13407
Figure 1.1 Geometry of the problem and system of loading
Thickness:
1.2
1.3
h=0.1 m
Properties of the material
Modulus Young
E=2.1×1011 Pa
Poisson's ratio
=0.3
Density
ρ=7000.0 kg.m−3
Boundary conditions and loadings
imposed Displacement:
Fixed support on edge
AC
imposed Loading:
Inertia loading on all the plate (according to
the direction −Y )
DX =0 , DY =0
−2
g =9.81 m.s
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Code_Aster
Titre : SSLP301 – Plaque trapézoïdale sous poids propre
Responsable : Thomas DE SOZA
Date : 10/07/2015 Page : 3/6
Clé : V3.02.301
Révision : 13407
2
Reference solution
2.1
Method of calculating used for the reference solution
The computation of the solution is detailed in the reference given into 2.4 .
2.2
Results of reference
displacement
D
D
u y point D is equal to:
−6
u y =12×10 m
the value of the shearing stress at the point
B
B is:
4
σxy =−19.9×10 Pa
2.3
Uncertainty on the analytical
solution Solution.
2.4
Bibliographical references
A. Kamoulakos – G. Davis – D. Hitchings. Benchmark tests for various finite element assemblies.
NAFEMS, April 1985.
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Code_Aster
Titre : SSLP301 – Plaque trapézoïdale sous poids propre
Responsable : Thomas DE SOZA
3
Modelization A
3.1
Characteristic of the modelization A
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Clé : V3.02.301
Révision : 13407
Modelization C_PLAN.
Inertia loading imposed by the key word PESANTEUR in AFFE_CHAR_MECA.
3.2
Characteristics of the mesh
Many nodes: 1681
Number of meshes and types: 400 TRIA6
3.3
Quantities tested and Component
Quantity
result
s
Localization
Standard Value
of reference
of reference
Tolerance
(%)
DEPL
DY
D ( N1249 )
−1.2×10−5 m
“ANALYTIQUE”
2.1
SIGM_ELNO
SIXY
B ( N11 )
−1.99×10 Pa
“ANALYTIQUE”
0.1
5
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Code_Aster
Titre : SSLP301 – Plaque trapézoïdale sous poids propre
Responsable : Thomas DE SOZA
4
Modelization B
4.1
Characteristic of the modelization B
Date : 10/07/2015 Page : 5/6
Clé : V3.02.301
Révision : 13407
Modelization C_PLAN.
Inertia loading imposed by the key word FORCE_INTERNE in AFFE_CHAR_MECA .
4.2
Characteristics of the mesh
Many nodes: 1681
Number of meshes and types: 400 TRIA6
4.3
Quantities tested and Component
Quantity
result
s
Localization
Standard Value
of reference
of reference
Tolerance
(%)
DEPL
DY
D ( N1249 )
−1.2×10−5 m
“ANALYTIQUE”
2.1
SIGM_ELNO
SIXY
B ( N11 )
−1.99×10 Pa
“ANALYTIQUE”
0.1
5
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Code_Aster
Titre : SSLP301 – Plaque trapézoïdale sous poids propre
Responsable : Thomas DE SOZA
5
Version
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Date : 10/07/2015 Page : 6/6
Clé : V3.02.301
Révision : 13407
Summary of the results
to model a loading under inertia loading, the use of key words PESANTEUR or FORCE_INTERNE
provides the same results, in concord with the analytical solution.
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