MEF adaptee a I' evaluation des actions exercees par un materiau pulverulent aux parois d 'un silo
Keywords:
silo, hopper, grain action, filling and emptying stages, non linear constitutive law, friction effectAbstract
The paper deals with the description of a suitable finite element method for an accurate simulation of grain action along the walls of silos. The model allows to compute the stress distribution inside the silo during the filling and the discharging stages. To simulate the filling, the finite element layers are set in action progressively, and at the discharging stage, the computation is based on efficient assumptions about the boundary conditions along the interface between the flow area and the dead zone. The main conditions to satisfy for a significant calculation of stresses along the silo wall are related to the very non linear constitutive law of the ensiled material, and with the friction law at the wall. In the second part of the paper, comparisons are made to show the good agreement between the computed solutions and stress measurements carried out during full scale tests. The FEM has also been used to establish the basic assumptions of simplified analytical solutions in order to improve the actual silo design.
Downloads
References
HABIB P., LUONG M.P.
Recherche "Silos" du CTICM. Comportement rheologique des materiaux
en vrac stockes en silo. Rapport des essais de Jaboratoire, L.M.S. - Ecole
Polytechnique, France , aout 1988.
LUONG M.P.
Rheologie des grains agro-alimentaires ensiles. Revue de construction
metallique 11°2.89, 1989.
E. RAGNEAU
Modelisation numerique et nouvelles methodes analytiques pour le calcul des
actions dans les silos cylindro-coniques (remplissage et vidange). These de
Doctorat, I.N.S.A. de Rennes- janvier 1993.
HATTAB M.
Application du modele elastoplastique de WILDE. Memoire de DEA. INSA de
Rennes, Laboratoire GT!Vla, 1989.
BoYCE H.R.
A non linear model for the elastic behaviour of granular material under repeated
loading. International Symposium on soils under cyclic and transient loading.
Swansea, 1980.
(6] WILDE P.
Principes mathematiques et physiques des modeles elastoplastiques des
materiaux granulaires. Compte rendu du colloque Franco-Polonais de Paris.
Laboratoire Central des Ponts et Chaussees, 1979.
(7] E. RAGNEAU, J.M. ARIBERT, A.M. SANAD
Modele tri-dimensionnel aux Elements Finis pour le calcul des actions sur les
parois d'un silo (remplissage et vidange). Revue de Construction Metallique,
n° 2-94.
(8] PURl V.M., MANBECK ll.B., ZHANG Q.
Finite Element model for predicting static and thermally induced loads in bulk
solids storage. 2ieme Symposium Europeen CIIIS.4. '90 "session contraintes dans
les silos" Prague (communication n°36), aoiit 1990.
N .F. P22-630.
Norme experimentale Fran~aise, AFNOR 1992.
D.IN. 1055 TElL 6
Lastannahmer fiir Bauten Lasten in Silo Zellen, mai 1986.
EuRocoDE 1
Basis of Design and Actions on Structures - Part 4 : Actions in Silos and Tanks
... DRAFT. European Committee for Standardization (CEN), Subcommittee
TC/250/SCl -April 1993.
(12] HAUSSLER U., EIBL J.
Numerical investigations on discharging silos. Journal of Engineering
Mechanics. Vol. 110, n°6, juin 1984.
RUNESSON K., NILLSON L.
Finite Element modelling of gravitational flow of a granular material. Bulk
Solid Handling, vol.5 n°5, octobre 1986.
BISHARA A.G., MAHMOUD M.H., CHANDRANGSU K.
Finite Element formulation for farm silo analysis. Journal of the Structural
Division, USA, 1977.
E. RAGNEAU, J.M. ARIBERT
Solutions analytiques a divers ordres d'approximation pour le calcul des actions
dans les silos cylindriques en phase de remplissage. Revue de Construction
Metalliquen°1-92, avril1992.
(16] E. RAGNEAU, J.M. ARIBERT
New calculations methods for the determination of grain action during filling
and emptying - comparison with full scale tests measurements. Proceedings
of the 2nd International Seminar on Silos and Storage Installations - Tehran,
october 1992.
(17) E. RAGNEAU, J.J1. ARIBEfrf
Formulation analytique recurrente pour un calcul precis des actions aux
parois de silos cylindriques a fond plat en phase de remplissage. Annales de
l'I.T.B.T.P., n°522- mars-avrill994.
(18) E. RAGNEAU, J.M. ARIBERT
Solutions analytiques pour les tremies coniques a Ia base de cellules cylindriques
en phase de remplissage. Annales de l'I.T.B.T.P. n°526- septembre 1994.
(19) H.A. JANSSEN
Versuche iiber Getreidedruck in Silozellen. VDI-Zeitschrift, 189.5.
(20] J.M. ARIBERT, E. RAGNEAU
Modele numerique par Elements Finis pour le calcul des actions de Ia matiere
ensilee sur les parois. Revue de Construction Mctallique, n°2-89.
(21) J .ltl. ARIBERT E. RAGNEAU
Stress calculations in silos by Finite Element method using different behaviour
laws for ensiled material. 2nd European Symposium "CIIISA '90", paper
n°1669. Praha, August 1990.
(22) J .L. SUTTERBY
Finite difference analysis of viscous laminar converging flow in conical tubes.
Applied Science Research, section A, volume 15, pages 241-252. Avril 1965.
(23) J. BROZZETTI
Description de Ia base experimentale d'essais de cellules metalliques de
stockage. Presentation clu programme d'essais. Revue de Construction
Metallique n°2-89.
(24) P.V. LADE
Elastoplastic stress-strain theory for cohesionless soil with curved yield surfaces.
International Journal of Solids and Structures. Vol. 13, n°ll. 1977.
O.C. ZIENKIEWICZ, s. VALLAPIAN, I.P. KING
Elastoplastic solutions of engineering problems. "Initial Stress", Finite Element
approach. International Journal for Numerical Methods in Engineering, vol. 1
- 1969.