Automatic Finite Element Mesh Generation Over Intersecting Rigid Body-Movable Subdomains for the Automation of Parametric Conceptual Design

1994 ◽  
Vol 116 (4) ◽  
pp. 1049-1057 ◽  
Author(s):  
H. Yang ◽  
D. A. Hoeltzel

An approach for the automatic generation and refinement of three-dimensional finite element meshes subdivided by multiply connected, rigid body movable subdomains has been developed. A combination of computational geometry and geometric modeling techniques have been employed to implement parametric computer-aided design based on the finite element method. Nonconvexity of an overall three-dimensional domain has been handled by combining convex geometric primitives as subdomains for the construction of a three-dimensional domain. A clipping technique is employed for determining intersection points between subdomains bounded by traingulated surface, following their rigid body movements. To demonstrate the utility of this approach to parametric redesign, a series of meshes that model a hip joint prosthesis and a reciprocating internal combustion engine, as assemblies of parametrically-defined geometric primitives, has been developed.

Author(s):  
Hyunik Yang ◽  
David A. Hoeltzel

Abstract An approach for the automatic generation and refinement of three dimensional finite element meshes subdivided by multiply connected, rigid body movable subdomains has been developed. A combination of computational geometry and geometric modeling techniques have been employed to implement parametric computer-aided design based on the finite element method. Nonconvexity of an overall three dimensional domain has been handled by combining convex geometric primitives as subdomains for the construction of a three dimensional domain. A clipping technique is employed for determining intersections points between subdomains bounded by triangulated surfaces, following their rigid body movements. To demonstrate the utility of this approach to parametric redesign, a series of meshes that model a hip joint prosthesis and a reciprocating internal combustion engine, as assemblies of parametrically-defined geometric primitives, have been developed.


1988 ◽  
Vol 41 (4) ◽  
pp. 169-185 ◽  
Author(s):  
Mark S. Shephard

This review paper discusses the algorithmic approaches being taken to the development of finite element mesh generators capable of automatically discretizing general domains without the need for user intervention. The paper demonstrates that because of the modeling demands placed on an automatic mesh generator, all the approaches taken to date produce unstructured meshes. Consideration is also given to both a priori and a posteriori mesh control devices for automatic mesh generators as well as their integration with geometric modeling and adaptive analysis procedures.


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):  
Baoxin Yuan ◽  
Herong Zeng ◽  
Wankui Yang ◽  
Songbao Zhang

The finite element method based on unstructured mesh has good geometry adaptability, it has been used to solve reactor physics problems, manual description of geometric modeling and meshing makes the current finite element code very complicated, it greatly restricts the application of this method in the numerical calculation of reactor physics. Using the CAD pre-processing software ICEM-CFD, three dimensional geometry is divided into tetrahedral or hexahedral meshes, two dimensional geometry is divided into triangular or quadrilateral meshes, the main code of neutron calculation for nuclear noise analysis based on finite element method is developed. The steady state parameters are calculated and tested through benchmark problem, the test results show that the code has the corresponding computing capabilities. Finally, the neutron noise spectrum is calculated for the 3D PWR benchmark problem published by IAEA, and the noise distribution under given frequency is given.


Author(s):  
Hossam S. Badawi ◽  
Sherif A. Mourad ◽  
Sayed M. Metwalli

Abstract For a Computer Aided Design of a concrete truck mixer, a six cubic meter concrete mixer drum is analyzed using the finite element method. The complex mixer drum structure is subjected to pressure loading resulting from the plain concrete inside the drum, in addition to its own weight. The effect of deceleration of the vehicle and the rotational motion of the drum on the reactions and stresses are also considered. Equivalent static loads are used to represent the dynamic loading effects. Three-dimensional shell elements are used to model the drum, and frame elements are used to represent a ring stiffener around the shell. Membrane forces and bending stresses are obtained for different loading conditions. Results are also compared with approximate analysis. The CAD procedure directly used the available drafting and the results were used effectively in the design of the concrete mixer drum.


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