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  On the existence of modular fixtures (1994) [22 citations — 4 self]

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by Yan Zhuang, Ken Goldberg, Yiu-chung Wong
In IEEE International Conference on Robotics and Automation
ftp://ftp.usc.edu/pub/iris/IRIS_93_314.ps.Z
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Abstract:

Modular fixtures are gaining wide use for flexible manufacturing and job shop machining. A modular fixture is an arrangement of fixture elements (fixels) that will locate and securely hold a given part. Typically, a human combines intuition with trial-and-error to design fixtures. In some cases designers are unable to design a fixture with given fixels and must resort to custom tooling. It is possible that human designers have overlooked a solution. It is also possible that no solution exists. In this paper we explore the existential question: given a fixture model and a part, does a fixture exist that will hold this part in form closure? If so, we say that the part is fixturable. We consider two classes of fixtures, one using 3 locators and a clamp, the other using 4 clamps. We provide one negative result-- a class of cross-sections that is not fixturable-- and two positive results-- two classes of cross-sections that are guaranteed to be fixturable. These results give us insight into the application range for different models of modular fixtures. 1

Citations

189 Orienting Polygonal Parts Without Sensors. Algorithmica – Goldberg - 1993
127 On the existence and synthesis of multifinger positive grips – Mishra, Schwartz, et al. - 1987
94 The synthesis of force-closure grasps – Nguyen - 1986
93 The geometry of grasping – Markenscoff, Ni, et al. - 1990
57 The Kinematics of Machinery – Reuleaux - 1963
52 A complete algorithm for synthesizing modular fixtures for polygonal parts – Brost, Goldberg - 1994
38 On computing three-finger force-closure grasps of polygonal objects – Ponce, Faverjon - 1995
30 Planning for modular and hybrid fixtures – Wallack, Canny - 1997
25 Grasping: A State of the Art – Pertin-Troccaz - 1989
24 A quantitative test for form closure grasps – Trinkle - 1992
17 Workholding: Analysis and planning – Mishra - 1991
16 Towards planning with force constraints: on the mobility of bodies in contact – Rimon, Burdick - 1993
10 A survey of general purpose manipulation – Grupen, Henderson, et al. - 1989
6 Kinematics and friction in grasping by robotic hands – Ohwovoriole - 1987
5 Representations for rigid solids: Theory, models, and systems – Requicha - 1980