| Yan Zhuang and Ken Goldberg. On the existence of solutions in modular fixturing. The International Journal of Robotics Research, 15(6):646--656, December 1996. 8 |
....the part in the supporting plane. Thus, only the 2D projection of any given design onto the supporting plane is considered for fixture planning. Only polygonal shapes are considered. In this setting, a fixture is a set of three locators (pins) and one clamp. Generative fixture planning approaches [Bro96, Zhu96] have been developed for this domain. However, because they create a unique fixture for each design, generative approaches do not support the need to reuse fixtures. Given a new design D, and an existing design D, we define the fixture based design similarity measure h(D ,D) 1 ) ....
Zhuang, Y. and Goldberg, K. Y., "On the existence of Solutions in Modular Fixturing", International Journal of Production Research, Volume 15, Number 6, pages 646-656, 1996.
....model to compute all form closure configurations (Theorem 19) In the other case, the two locators are both placed on the top table (the moving table) It is an open problem how to compute all form closure configurations in an output sensitive way in this case. Curved edges Wallack and Canny [30] also presented an algorithm to compute form closure configurations on a vise, where the objects to be fixtured are so called generalized polygons. These are two dimensional objects with a boundary composed of linear edges and circular arcs. It is unclear how to generalize the other algorithms in ....
Y. Zhuang and K. Goldberg. On the existence of solutions in modular fixturing. International Journal of Robotics Research, 1996. to appear.
....in form closure (4 in 2D, 7 for polyhedra) 96, 84] but efficient algorithms are still needed. In modular fixturing, where fixture elements are constrained to a regular lattice, recent results suggest a number of open questions about the existence of solutions for classes of fixtures and parts [154, 142, 115]. When there is uncertainty in part pose or applied forces, minimizing the number of grasp points can be posed as a convex set covering problem. Recently, CG researchers have described efficient and probably practical algorithms for near optimal grasps. This goes beyond the previous works which ....
Zhuang, Y., Goldberg, K. On the existence of solutions in modular fixturing, International Journal of Robotics Research, to appear.
....This design rule can be incorporated into the CAD design cycle to rapidly check whether a proposed redesign is consistent with the given previous fixture. It allows us to integrate the design of product and the design of fixturing, and detect a potential fixture failure early. Zhuang and Goldberg [29] shows that there exists planar parts that cannot achieve 3 point contacts with any set of 3 locators. The contact locus presented in section 4.1 can guide the designer to modify such a part such that it is fixturable. Finally in section 5 we show that we can apply the same contact locus to solve ....
Yan Zhuang and Ken Goldberg. On the existence of solutions in modular fixturing. The International Journal of Robotics Research, 15(6):646--656, December 1996. 8
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