scholarly journals Numerical analysis of the drag on a rigid body in an immersed granular flow

Author(s):  
Nathan Coppin ◽  
Matthieu Constant ◽  
Jonathan Lambrechts ◽  
Frédéric Dubois ◽  
Vincent Legat
2018 ◽  
Vol 330 ◽  
pp. 59-71 ◽  
Author(s):  
Ronghua Chen ◽  
Kailun Guo ◽  
Yanshi Zhang ◽  
Wenxi Tian ◽  
Suizheng Qiu ◽  
...  

2011 ◽  
Vol 4 (8) ◽  
pp. 2951-2956
Author(s):  
Yuzhi He ◽  
Changyun Liu ◽  
Xiugen Jiang ◽  
Zhenhua Hou ◽  
Guangkui Zhang ◽  
...  

Author(s):  
Østen Jensen ◽  
Lars Gansel ◽  
Martin Føre ◽  
Karl-Johan Reite ◽  
Jørgen Haavind Jensen ◽  
...  

The behaviour of net panels with bending stiffness is dependent on the stiffness and potentially also the density of the material when exposed to oscillatory motions. This needs to be taken into account when net cages are product certified according to NS9415 (Standard Norge 2009). Experiments using two different net panels with bending stiffness were conducted to investigate the behaviour of nets with bending stiffness in oscillatory motion. For low oscillation frequencies the panels moved in a close to rigid body manner. When the oscillation frequencies where increased, however, there was a distinct difference between the copper and the Polyethylene Terephthalate (PET) nets, with a significant increase in the resulting oscillation amplitude for the copper net and a decrease for the PET net. The proposed numerical model predicts this behaviour well in terms of oscillation amplitudes. It is, however, important to establish good estimates of the net panels bending stiffness in advance, particularly if product certification is the purpose of the numerical analysis.


The paper begins by noting that the practical and efficient numerical analysis of thin walled shells is far from a reality. Groundwork for the investigation starts with an examination of existing sufficiency conditions for convergence of the finite element method of analysis with refinement of mesh size; new and more practical conditions are then given specifically for shells. Working formulae of a suitable first approximation theory for the linear small deflexion behaviour are then given for arbitrary shells in lines of curvature and in geodesic coordinates. A variational principle is introduced which is more general than that for the well known assumed stress hybrid finite element model; its purpose is to provide a means to overcome the excessive rank deficiency which is sometimes encountered in the derive element stiffness matrix. , The formulae are next specialized to general developable shells for they are tne simplest to analyse and frequently occur in technology. Emphasis is given to the derivation of general formulae governing inextensional deformation, membrane action and rigid body movement because these constitute important factors in any adequate numerical analysis. . . , Specific application is made to circular cylindrical shells by first considering the interpolation of the kinematic continuity conditions along an arbitrary geodesic line. Details and numerical examples are provided for the first known fully compatible lines of curvature rectangular finite element which directly recovers arbitrary rigid body movements as well as inextensional deformations and membrane actions. The paper concludes with details and numerical examples of an arbitrarily shaped triangular finite element which employs the above mentioned variational principle m conjunction with linearly varying stress fields. All the rigid body movements are directly recovered as well as inextensional deformations and membrane actions. It is anticipated that this finite element and its derivatives will find widespread application.


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