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A New Reduction Method on Constant Constraints With Natural Coordinates

[+] Author Affiliations
Kewei Zhang, Yunqing Zhang, Liping Chen

Huazhong University of Science and Technology, Wuhan, Hubei, China

Paper No. DETC2010-28655, pp. 137-142; 6 pages
  • ASME 2010 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference
  • Volume 4: 12th International Conference on Advanced Vehicle and Tire Technologies; 4th International Conference on Micro- and Nanosystems
  • Montreal, Quebec, Canada, August 15–18, 2010
  • Conference Sponsors: Design Engineering Division and Computers in Engineering Division
  • ISBN: 978-0-7918-4412-0 | eISBN: 978-0-7918-3881-5
  • Copyright © 2010 by ASME


With the strategy “Automatically Reduce Natural-Coordinate DAEs Assembled Automatically” in mind, the authors have developed a new reduction method on natural-coordinate constant constraint (NCCC). A NCCC constrains a state variable to a constant, leading to a simplest constraint equation which often appears in the joints which connect elements defined with natural coordinates to the ground. The new reduction method can be performed once for every NCCC, with the result that one column and one row are removed from the system mass matrix. The new reduction operation can be used independently and repeatedly, a characteristic suitable for computer implementation. For the purposes of illustration, after a double-wishbone suspension is modeled with 48 natural coordinates and 12 NCCCs, its DAE is reduced by the new reduction method, with 36 natural coordinates remaining.

Copyright © 2010 by ASME
Topics: Computers , Equations



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