Integration of B-spline geometry and ANCF finite element analysis

2009 ◽  
Vol 61 (1-2) ◽  
pp. 193-206 ◽  
Author(s):  
Peng Lan ◽  
Ahmed A. Shabana
Keyword(s):  
Finite Element Analysis ◽  
Finite Element ◽  
Element Analysis ◽  
B Spline

Ruled Surfaces, Lie Groups, and Mesh Generation

1997 ◽  
Author(s):  
Kenneth Sprott ◽  
Bahram Ravani
Keyword(s):  
Finite Element Analysis ◽  
Finite Element ◽  
Mesh Generation ◽  
Group Structure ◽  
Computational Method ◽  
Ruled Surfaces ◽  
Element Analysis ◽  
Automatic Mesh Generation ◽  
B Spline ◽  
Automatic Mesh

Abstract This paper develops a method for design of Beziér and B-spline ruled surfaces taking advantage of the Lie group structure associated with the displacement of lines. The result is a computational method which is independent of the choice of coordinate system. The method is unique in that it can be used on a set of intersecting lines and in this way is applied to automatic mesh generation for finite element analysis.

Design and Tessellation of B-Spline Developable Surfaces

1998 ◽  
Vol 120 (3) ◽  
pp. 453-461 ◽  
Author(s):  
T. Maekawa ◽  
J. Chalfant
Keyword(s):  
Finite Element Analysis ◽  
Finite Element ◽  
New Method ◽  
Engineering Applications ◽  
Element Analysis ◽  
B Spline ◽  
Developable Surfaces ◽  
Spline Representation ◽  
User Friendly

Developable surfaces are widely used in various engineering applications. However, little attention has been paid to implementing developable surfaces from the onset of a design. The first half of the paper describes a user friendly method of designing developable surfaces in terms of a B-Spline representation whose two directrices lie on parallel planes. The second half of the paper investigates a new method for development and tessellation of such B-Spline developable surfaces, which is necessary for plate cutting and finite element analysis.

scholarly journals No Mesh, No Fuss

2006 ◽  
Vol 128 (05) ◽  
pp. 46-48 ◽  
Author(s):  
Jean Thilmany
Keyword(s):  
Mathematical Model ◽  
Finite Element Analysis ◽  
Finite Element ◽  
Mathematical Representation ◽  
Element Analysis ◽  
B Spline ◽  
Cad System ◽  
Curves And Surfaces

This paper highlights the design of finite element analysis (FEA) without the finite element. The analysis can use the same information, the CAD system used to create the geometry in the first place. The geometry as well as the analysis fields-like displacement or temperature all uses the non-uniform rational B-spline mathematical representation. Software makers generally use the NURBS mathematical model to generate curves and surfaces in a digitized image. The framework lets mechanical engineers run quick, what-if scenarios to determine how changing a piece of a subassembly would affect the entire assembly. The full assembly need not be remeshed.

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