International Journal of CAD/CAM

Society for Computational Design and Engineering (한국CDE학회)
권호 표지

Hybrid Representations for Enveloping Modeling in Gearing

  • Voznyuk, Roman (Institute of Mechanics, Izhevsk State Technical University)
  • Published : 2003.12.31
Download PDF
⟨ Previous Next ⟩

Abstract

Hybrid method of representing geometric entities as combination of boundary (B-rep) and functional (F-rep) representations is presented which can be used as a basis of solid modeling kernel. It contains whole functionality of classic B-rep kernel, and also supports enveloping (sweep of solid body). Principles and keysolutions are considered. Example of a real task that comes from gearing is provided.

Keywords

References

  1. Adzhiev, V., Kazakov, M.. Pasko. A. and Savchenko, V. (2000). Hybrid system architecture for volume modeling. Computers & Graphics. Pergamon Press. 24(1), 67-78
  2. Ammceraal, L. (1986), Programming principles in computer graphics. Chichester, John Wiley
  3. Elsonbaty, A. and Stachel, H. (1997). Generating solids by sweeping polyhedra, Journal of Geometry and Graphics. 1. 13-21
  4. Goldfarb. V. (1995). The nondifferential method of the geometrical modeling of the enveloping process. Ninth World Congress of the Theory of Machines and Mecahnisms Conference Proceedings. 1. Italy. Milano. 424-427
  5. Goldfarb. V. and Voznyuk, R. (1998). Development of a CAD tool for enveloping modeling, Mechanics in Design Conference Proceedings. Nottingham. 47 1-477
  6. Ilies, H. and Shapiro. V. (1999). The Dual of Sweep, Computer Aided Design, 31(3). 185-201
  7. Kieffer, J. and Litvin. F. (1990). Swept volume Determination and Interference Detection for Moving 3-D Solids, Transactions of the ASME. Journal of Mechanical Design, 113, 456-463
  8. Litvin. F. (1989). Theory of Gearing, NASA Reference Publication. 22-23
  9. Lorensen, W. and Cline. H. (1987). Marching cubes: a high-resolution 3D surface construction algorithm. Computer Graphics, 21(4). 163-169
  10. Nesmelov, I. and Goldfarb, V. (1983), Non-differential approach to enveloping problem solution. Mechanica Mashin, Nauka, Issue 61, 3-10
  11. Rvachev, V. (1982). Theory of R-functions and some its applications. Naukova dumka, Kiev, 552
  12. Sourin. A. and Pasko. A. (1996), Function representation for sweeping by a moving solid. IEEE Transactions on Visualization and Computer Graphics. 2. 11-18