Robotics: Science and Systems IV 2008
DOI: 10.15607/rss.2008.iv.029
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Friction-Induced Velocity Fields for Point Parts Sliding on a Rigid Oscillated Plate

Abstract: Abstract-We show that small-amplitude periodic motion of a rigid plate causes point parts on the plate to move as if they are in a position-dependent velocity field. Further, we prove that every periodic plate motion maps to a unique velocity field. By allowing a plate to oscillate with six-degrees-of-freedom, we can create a large family of programmable velocity fields. We examine in detail sinusoidal plate motions that generate fields with either isolated sinks or squeeze lines. These fields can be exploited… Show more

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Cited by 19 publications
(30 citation statements)
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“…Sensorless manipulation strategies also may take advantage of limit cycle behavior, for example engineering fixed points and basins of attraction so that parts only exit a feeder when they reach the correct orientation [19], [20]. These two strategies have been applied to a much wider array of mechanisms such as vibratory bowls and tables [21], [22] or assembly lines [18], [23], [24], and have also been extended to situations with stochastic uncertainty [25], [26] and closedloop feedback [27], [28]. Our interest in this particular collection of work also stems from our belief that ensemble control theory may provide new insight into sensorless manipulation of large numbers of objects at once.…”
Section: B Motion Planning Under Uncertaintymentioning
confidence: 99%
“…Sensorless manipulation strategies also may take advantage of limit cycle behavior, for example engineering fixed points and basins of attraction so that parts only exit a feeder when they reach the correct orientation [19], [20]. These two strategies have been applied to a much wider array of mechanisms such as vibratory bowls and tables [21], [22] or assembly lines [18], [23], [24], and have also been extended to situations with stochastic uncertainty [25], [26] and closedloop feedback [27], [28]. Our interest in this particular collection of work also stems from our belief that ensemble control theory may provide new insight into sensorless manipulation of large numbers of objects at once.…”
Section: B Motion Planning Under Uncertaintymentioning
confidence: 99%
“…Those fields allow us to control the motion of multiple objects independently and simultaneously for a wide range of objects where the properties of individual objects may or may not be the same. Despite its remarkable ability, our hardware is the simplest among all acoustic manipulation systems [1], [4], [20]- [23].…”
Section: Introductionmentioning
confidence: 99%
“…Rhythmic motion control has been an important research topic studied for many years in robotics and mechatronics [1][2][3][4][5][6][7][8][9][10][11][12][13][14][15][16][17][18]. Legged locomotion is one type of rhythmic motion that requires cyclic stability.…”
Section: Introductionmentioning
confidence: 99%
“…Some research groups have proposed nongrasping manipulation schemes using an active plate, which also require cyclic stability [9][10][11][12][13][14][15][16][17]. Senforless positioning and orientation adjustment have been realized using a flexible vibrating plate [9].…”
Section: Introductionmentioning
confidence: 99%