The automatic generation of the finite element mesh for realization of ricatti transformation

1985 ◽  
Vol 2 (1) ◽  
pp. 1-10
Author(s):  
Sun Naihua
Author(s):  
H. Yang ◽  
D. A. Hoeltzel

Abstract A novel approach for the automatic generation and refinement of finite element meshes over nonconvex domains subdivided by multiply connected, rigid body-movable subdomains has been developed. The basis of this method relies on 1) the automatic insertion of nodes on the digitized boundaries and within the interiors of movable subdomains 2) the generation of superelement meshes, using the nodes which have been inserted on the subdomains, 3) determination of the points of intersection between adjacent subdomains following their rigid body movement, 3) ensuring the satisfaction of both interelement connectivity and compatability across subdomain boundaries which undergo rigid body movement along with the subdomains, and 4) the interactive refinement of userselectable subdomains using quadrilaterization for global refinement and triangularization for local refinement. The creation of a finite element mesh for an acetabular cup inserted in a human pelvis, which is representative of a mesh generated over complex, two-dimensional, multiply connected subdomains, as employed in an orthopedic total hip replacement, serves as a realistic application of this approach and demonstrates its utility for expeditiously performing finite element-based, parametric design optimization studies.


1992 ◽  
Vol 114 (4) ◽  
pp. 603-615 ◽  
Author(s):  
Hyunik Yang ◽  
D. A. Hoeltzel

An approach for the automatic generation and refinement of finite element meshes over nonconvex domains subdivided by multibody connected, rigid body-movable subdomains has been developed. The basis of this method relies in order on (1) the automatic insertion of nodes on the digitized boundaries and within the interiors of movable subdomains, (2) the generation of superelement meshes within the subdomains, (3) determination of intersection points between adjacent subdomains following their rigid body movement, (4) ensuring the satisfaction of interelement connectivity across subdomain boundaries, and (5) the interactive refinement of user-selectable subdomains using quadrilaterization for global refinement and triangularization for local refinement. The creation of a finite element mesh for an acetabular cup inserted in a human pelvis, which is representative of a mesh generated over complex, two-dimensional, multiply connected subdomains, as employed in an orthopedic total hip replacement, serves as a realistic application of this approach and demonstrates its utility for expeditiously performing finite element-based, parametric design studies.


Author(s):  
Hiroaki Date ◽  
Satoshi Kanai ◽  
Takeshi Kishinami ◽  
Ichiro Nishigaki ◽  
Takayuki Dohi

Effective and robust automatic generation methods of finite element mesh of product model are required for CAE. Although many researches for them have been done, robust mesh generation for complex solid shapes with small features and flexible mesh property control are still difficult in current finite element meshers. In this paper, we propose a new method for automatic finite element mesh generation of a product model based on multiresolution representation of high-density mesh which are stably generated by existing finite element meshers. In our approach, geometrical and topological mesh properties required for FEA can be controlled using user-specified parameters, and mesh elements corresponding to the solid model elements used for setting the analysis conditions are preserved on the simplified meshes. Using our method, robust finite element mesh generation where the mesh property is controllable could be realized.


2021 ◽  
Vol 13 (4) ◽  
pp. 168781402110090
Author(s):  
Peiyu He ◽  
Qinrong Qian ◽  
Yun Wang ◽  
Hong Liu ◽  
Erkuo Guo ◽  
...  

Slewing bearings are widely used in industry to provide rotary support and carry heavy load. The load-carrying capacity is one of the most important features of a slewing bearing, and needs to be calculated cautiously. This paper investigates the effect of mesh size on the finite element (FE) analysis of the carrying capacity of slewing bearings. A local finite element contact model of the slewing bearing is firstly established, and verified using Hertz contact theory. The optimal mesh size of finite element model under specified loads is determined by analyzing the maximum contact stress and the contact area. The overall FE model of the slewing bearing is established and strain tests were performed to verify the FE results. The effect of mesh size on the carrying capacity of the slewing bearing is investigated by analyzing the maximum contact load, deformation, and load distribution. This study of finite element mesh size verification provides an important guidance for the accuracy and efficiency of carrying capacity of slewing bearings.


2019 ◽  
Vol 33 (3) ◽  
pp. 1185-1193 ◽  
Author(s):  
Ghania Ikhenazen ◽  
Messaoud Saidani ◽  
Madina Kilardj

1995 ◽  
Vol 8 (6) ◽  
pp. 282-287 ◽  
Author(s):  
Tanmoy Roy ◽  
Tapan K. Sarkar ◽  
Antonije R. Djordjevic ◽  
Magdalena Salazar-Palma

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