Design of a Redundantly Actuated Asymmetric Linear DELTA Parallel Mechanism for Singularity-Free Mode Changes

Abstract:

A novel parallel mechanism which enlarges the workspace by singularity-free mode change is proposed. The proposed mechanism is inherited the design of Linear DELTA which has three degree-of-freedom translational moving plate driven by three linear actuators, in addition, extended it by redundantly actuation by four linear actuators and asymmetric design. New criterions about redundancy and singularity of redundantly actuated parallel mechanism using summation and product of determinants of minor matrices of the transposed Jacobian matrix are proposed. Redundantly actuation and asymmetric design enables singularity-free mode changes with loss redundancy but maintain non-singularity, that are evaluated by the proposed criterions. Numerical simulations demonstrate the singularity-free mode changes of the proposed mechanism.

• Periodical: Applied Mechanics and Materials (Volume 575)
• Pages: 711-715
• DOI: https://doi.org/10.4028/www.scientific.net/AMM.575.711
• Online since: June 2014
• Authors: Takashi Harada*
• Keywords: Asymmetric Design, Kinematics, Mode Change, Parallel Mechanism, Redundancy, Redundantly Actuation, Singularity

References

[1] Stock M., and Miller K., Optimal Kinematic Design of Spatial Parallel Manipulators: Application to Linear Delta Robot, Journal of Mechanical Design, 125(2), pp.292-301, (2003).

DOI: 10.1115/1.1563632

[2] Campos L., Bourbonnais F., Bonev I., and Bigras P., Development of a Five-Bar Parallel Robot with Large Work-space, Proc. ASME IDETC/CIE, Vol. 2, pp.917-922, (2010).

DOI: 10.1115/detc2010-28962

[3] Budde C., Helm M., Last P., Raatz A., and Hesselbach J., Configuration Switching for Workspace Enlargement, Robotic Systems for Handling and Assembly, pp.175-189, (2010).

DOI: 10.1007/978-3-642-16785-0_11

[4] Zein M., Wenger P., and Chablat D., Non-singular assembly mode changing motions for 3-RPR parallel manipulators, Mech. and Machine Theory, 43, pp.480-490, (2008).

DOI: 10.1016/j.mechmachtheory.2007.03.011

[5] Tsai L. W., Robot Analysis: The Mechanics of Serial and Parallel Manipulators, Wiley Interscience, (1999).

[6] Merlet J. P., Redundant Parallel Manipulators, Laboratory Robotics Automation, Vol. 8, pp.17-24, (1996).

DOI: 10.1002/(sici)1098-2728(1996)8:1<17::aid-lra3>3.0.co;2-#

[7] Nakamura, Y., Advanced Robotics: Redundancy and Optimization, Addison-Wesley, (1991).