Optimal Kinematic Design of Spatial Parallel Manipulators: Application to Linear Delta Robot
Open Access
- 1 June 2003
- journal article
- Published by ASME International in Journal of Mechanical Design
- Vol. 125 (2), 292-301
- https://doi.org/10.1115/1.1563632
Abstract
An optimal kinematic design method suited for parallel manipulators is developed. The kinematic optimization process yields a design that delivers the best compromise between manipulability and a new performance index, space utilization. It is shown that the exhaustive search minimization algorithm is effective for as many as four independent design variables and presents a viable alternative to advanced nonlinear programming methods. The proposed kinematic optimization method is applied to the Linear Delta: a three degree of freedom translational manipulator. The kinematics of the Linear Delta are solved via the polynomial method. The mobility, workspace and manipulability characteristics are examined. It is shown that the Linear Delta’s manipulability generally exhibits relatively little variation when compared to space utilization. The tendency exists for the solution to converge on a zero workspace size architecture when manipulability is optimized alone. The inclusion of the space utilization index in the cost function is crucial for obtaining realistic design candidates.Keywords
This publication has 11 references indexed in Scilit:
- On the infinitesimal motion of a parallel manipulator in singular configurationsPublished by Institute of Electrical and Electronics Engineers (IEEE) ,2003
- Workspace analysis of a 3-DOF parallel mechanismPublished by Institute of Electrical and Electronics Engineers (IEEE) ,2002
- Optimization of a three DOF translational platform for well-conditioned workspacePublished by Institute of Electrical and Electronics Engineers (IEEE) ,2002
- Maximization of Workspace Volume of 3-DOF Spatial Parallel ManipulatorsJournal of Mechanical Design, 2002
- Extreme reaches and reachable workspace analysis of general parallel robotic manipulatorsJournal of Robotic Systems, 1998
- Direct kinematics of parallel manipulatorsIEEE Transactions on Robotics and Automation, 1993
- Multiple-goal kinematic optimization of a parallel spherical mechanism with actuator redundancyIEEE Transactions on Robotics and Automation, 1992
- The Optimum Kinematic Design of a Spherical Three-Degree-of-Freedom Parallel ManipulatorJournal of Mechanical Design, 1989
- The Optimum Kinematic Design of a Planar Three-Degree-of-Freedom Parallel ManipulatorJournal of Mechanical Design, 1988
- A Platform with Six Degrees of FreedomProceedings of the Institution of Mechanical Engineers, 1965