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Flexible steerable manipulator utilizing complementary configuration 87

               wherein the distal-most segment of (a), which is one of the said ball bearings, is coupled to
               (b); the proximal end of (a) is connected to (e) via a passive flexible tube; (b) is equipped
               to an end effector which can be but is not limited to a pair of forceps; (c) is terminated on
               (b) at the distal end and extends through said cylindrical segments in (a) and said passive
               flexible tube before terminating at the proximal-most segment of (a); and (d) is terminated
               on (b) at the distal end and extends through said cylindrical segments in (a) and said
               passive flexible tube before terminating at (e).

               The ball bearings have a cross-sectional diameter marginally larger than the inner diameter
               of the cylindrical segments, thereby allowing the bearings to rest in the inner circumference
               of the cylindrical segments, with a portion being encapsulated by the cylindrical segments.

               The cylindrical segments are coupled alternately to form a series of ball joints, whereby the
               cylindrical segments can pivot about said ball bearings such that they are tilted at an angle
               with respect to the adjacent cylindrical segment. The cylindrical segments have eight
               grooves which are spaced equally around its inner circumference and extend axially along
               with the height of the cylindrical segment.

               The element (c) is composed of four coupling cables extending through the grooves of the
               cylindrical segments, thereby constraining and coupling said segments in (a) together. The
               element (d) is composed of four driving cables extending through the grooves of the
               cylindrical segments, whereby tensioning a single driving cable brings one side of all the
               cylindrical segments toward each other to induce bending of (a) in one direction. The
               coupling cables and driving cables are kept constrained within the grooves by the
               engagement of the ball bearing on the inner circumference of the cylindrical segments.
               The tensioning of the driving cables enables at least two degrees of freedom in the bending
               of the distal tip of the manipulator. The prototype further includes variations in several
               grooves in the cylindrical segments and variations in the number and arrangement of the
               driving cables and coupling cables.



               4.3 Design verification

               We produced a prototype with VeroClear cylindrical segments and a distal connector via 3D
               printing with Stratasys Objet260 Connex 3D printer. This was coupled with off-the-shelf
               polymer beads, nylon threads as driving cables, and metal threads as coupling cables to
               produce a flexible manipulator capable of achieving an average bending angle of 147 degrees
               in each direction. This wide bending angle can be further improved via more precise
               fabrication techniques as well as suitable materials. Moreover, increasing the number of
               segments could further increase the bending angle. Our prototype will then be able to enhance
               access to a greater range of areas.
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