论文信息 - Numerical slicing and optimum hatching of parametric B-Rep solids in layered manufacturing

Numerical slicing and optimum hatching of parametric B-Rep solids in layered manufacturing

In this paper, numerical slicing of parametric B-Rep solids has been proposed based on the concepts of virtual cloud points and Delaunay triangulation for the purpose of layered manufacturing. The layer geometry thus obtained readily lent itself to application of an optimum hatching algorithm that minimises the build time. The problem has been treated as intersection of parametric surfaces. The purpose is to estimate the slice geometry, both its domain and boundary, which will enable in building an automatic database of each slice for the purpose of finding the optimum hatching direction. The algorithm and Matlab™ code have been developed for a general parametric B-Rep solid. The proposed slicing methodology has been implemented and presented here for two different B-Rep solids, namely, a non-rational Bezier solid and a NURBS solid. It was observed that developments in this direction will ensure further automation and streamlining of the layered manufacturing process with an integration established from CAD solid model to the actual layering in the machine.

Amit Kumar Singh | P. V. M. Rao | Regalla Srinivasa Prakash | Arnab Jyothi Ghosh | P. K. Pakala

[1] Suck-Joo Na,et al. Two-Stage Approach for Nesting in Two-Dimensional Cutting Problems Using Neural Network and Simulated Annealing , 1996 .

[2] Michiel H. M. Smid,et al. Minimizing the total projection of a set of vectors, with applications to layered manufacturing , 2003, Comput. Aided Des..

[3] K. P. Karunakaran,et al. Efficient stock cutting for laminated manufacturing , 2002, Comput. Aided Des..

[4] N. Venkata Reddy,et al. Optimum part deposition orientation in fused deposition modeling , 2004 .

[5] Ron Jamieson,et al. Direct slicing of CAD models for rapid prototyping , 1995 .

[6] Kunwoo Lee,et al. The development of a CAD environment to determine the preferred build-up direction for layered manufacturing , 1998 .

[7] Weiyin Ma,et al. NURBS-based adaptive slicing for efficient rapid prototyping , 2004, Comput. Aided Des..

[8] Sanjay E. Sarma,et al. The crossing function and its application to zig-zag tool paths , 1999, Comput. Aided Des..

[9] Jan Helge Bøhn,et al. Adaptive slicing using stepwise uniform refinement , 1996 .

[10] Han Tong Loh,et al. Optimal orientation with variable slicing in stereolithography , 1997 .

[11] Andrew Y. C. Nee,et al. Multi‐objective optimization of part‐ building orientation in stereolithography , 1995 .

[12] Atsuyuki Okabe,et al. Spatial Tessellations: Concepts and Applications of Voronoi Diagrams , 1992, Wiley Series in Probability and Mathematical Statistics.