Xu, H;
Fu, T;
Song, P;
Zhou, M;
Fu, C-W;
Mitra, NJ;
(2020)
Computational Design and Optimization of Non-Circular Gears.
Computer Graphics Forum
, 39
(2)
pp. 399-409.
10.1111/cgf.13939.
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Abstract
We study a general form of gears known as non‐circular gears that can transfer periodic motion with variable speed through their irregular shapes and eccentric rotation centers. To design functional non‐circular gears is nontrivial, since the gear pair must have compatible shape to keep in contact during motion, so the driver gear can push the follower to rotate via a bounded torque that the motor can exert. To address the challenge, we model the geometry, kinematics, and dynamics of non‐circular gears, formulate the design problem as a shape optimization, and identify necessary independent variables in the optimization search. Taking a pair of 2D shapes as inputs, our method optimizes them into gears by locating the rotation center on each shape, minimally modifying each shape to form the gear's boundary, and constructing appropriate teeth for gear meshing. Our optimized gears not only resemble the inputs but can also drive the motion with relatively small torque. We demonstrate our method's usability by generating a rich variety of non‐circular gears from various inputs and 3D printing several of them
Type: | Article |
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Title: | Computational Design and Optimization of Non-Circular Gears |
Location: | Norrkoping, SWEDEN |
Open access status: | An open access version is available from UCL Discovery |
DOI: | 10.1111/cgf.13939 |
Publisher version: | https://doi.org/10.1111/cgf.13939 |
Language: | English |
Additional information: | This version is the author accepted manuscript. For information on re-use, please refer to the publisher’s terms and conditions. |
Keywords: | CCS Concepts, Computing methodologies → Shape modeling, Fabrication → Computational design |
UCL classification: | UCL UCL > Provost and Vice Provost Offices > UCL BEAMS UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Engineering Science UCL > Provost and Vice Provost Offices > UCL BEAMS > Faculty of Engineering Science > Dept of Computer Science |
URI: | https://discovery.ucl.ac.uk/id/eprint/10111594 |
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