Ruled Surfaces, Lie Groups, and Mesh Generation

Author(s):  
Kenneth Sprott ◽  
Bahram Ravani

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.

1997 ◽  
Vol 81 (8) ◽  
pp. 4085-4087 ◽  
Author(s):  
Vlatko Čingoski ◽  
Ryo Murakawa ◽  
Kazufumi Kaneda ◽  
Hideo Yamashita

2013 ◽  
Vol 579-580 ◽  
pp. 866-872
Author(s):  
Qian Wang ◽  
Jin Song Bao ◽  
Chao Xun ◽  
Yi Jun Pan ◽  
Jun Jie Tang

The assembly of ship blocks is achieved through welding. To get a high level of closure accuracy, finite element analysis (FEA) is always needed to predict the welding deformation. However, the fast automatic mesh generation technique during the finite element method (FEM) for the ship assembly is not mature enough yet. Due to the complex ship architecture, during FEA, the model must be built up manually in most cases. This process is complicated and the errors are easy to occur. Consequently, the efficiency of FEA during the ship assembly is highly affected. Automatic mesh generation is a key factor restricting the development of FEM, since the quality and speed of the mesh generation directly influence the accuracy of calculation and the efficiency of analysis. In the field of marine engineering and aerospace engineering, the mesh elements are required to be quadrilateral. However, the technique of the quadrilateral mesh generation is still more difficult and less mature than that of the triangular mesh generation. This work proposed a hybrid mesh generation algorithm, borrowing the advantages from both the quad-morphing algorithm and the paving algorithm as well as considering the factor of multi-constraints. An example case is also given to illustrate the result of this proposed algorithm.


2011 ◽  
Vol 8 (2) ◽  
pp. 121-128
Author(s):  
Md. Shahidul Islam

Automatic hexahedral mesh generation is a very deserving solution for better performance of finite element analysis of complex large structures. At present plastering, whisker weaving and whisker weaving based plastering algorithm are available to perform such tasks. As these hexahedral mesh generation processes are fully automatic, it is possible to form some elements, which don’t have high enough qualities for finite element analysis. For this reason, a reliable post-processing method is presented in this paper which can modify the shapes of the already generated hexahedrons. Four different structural models are tested and the results show that the proposed method can effectively modify the quality of the inverted hexahedrons and eliminate the invalid ones.Keywords: Doublet; triplet; quadruplet; Whisker weaving based plastering algorithm; hexahedral meshDOI: http://dx.doi.org/10.3329/jname.v8i2.5646Journal of Naval Architecture and Marine Engineering 8(2011) 121-128


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