A novel parallel-kinematic flexure mechanism that provides highly decoupled motions along the three translational directions (X, Y, and Z) and high stiffness along the three rotational directions (θx, θy, and θz) is presented. Geometric decoupling ensures large motion range along each translational direction and enables integration with large-stroke ground-mounted linear actuators or generators, depending on the application. The proposed design, which is based on a systematic arrangement of multiple rigid stages and parallelogram flexure modules, is analyzed via nonlinear finite elements analysis (FEA). A proof-of-concept prototype is fabricated to validate the predicted large range and decoupled motion capabilities. The analysis and the hardware prototype demonstrate an XYZ motion range of 10 mm × 10 mm × 10 mm. Over this motion range, the nonlinear FEA predicts cross-axis errors of less than 7.8%, parasitic rotations less than 10.8 mrad, less than 14.4% lost motion, actuator isolation better than 1.5%, and no perceptible motion direction stiffness variation.
Skip Nav Destination
Article navigation
February 2013
Design Innovations
An XYZ Parallel-Kinematic Flexure Mechanism With Geometrically Decoupled Degrees of Freedom
Shiladitya Sen
Shiladitya Sen
Precision Systems Design Laboratory,
Mechanical Engineering,
Mechanical Engineering,
University of Michigan
,Ann Arbor, MI 48109
Search for other works by this author on:
Shiladitya Sen
Precision Systems Design Laboratory,
Mechanical Engineering,
Mechanical Engineering,
University of Michigan
,Ann Arbor, MI 48109
Contributed by the Mechanisms and Robotics Committee of ASME for publication in the Journal of Mechanisms and Robotics. Manuscript received March 1, 2012; final manuscript received August 17, 2012; published online November 15, 2012. Assoc. Editor: Federico Thomas.
J. Mechanisms Robotics. Feb 2013, 5(1): 015001 (7 pages)
Published Online: November 15, 2012
Article history
Received:
March 1, 2012
Revision Received:
August 17, 2012
Citation
Awtar, S., Ustick, J., and Sen, S. (November 15, 2012). "An XYZ Parallel-Kinematic Flexure Mechanism With Geometrically Decoupled Degrees of Freedom." ASME. J. Mechanisms Robotics. February 2013; 5(1): 015001. https://doi.org/10.1115/1.4007768
Download citation file:
Get Email Alerts
Kinematic Analysis and Trajectory Planning of Multi-Segment Continuum Manipulator
J. Mechanisms Robotics (June 2025)
Singularity Analysis Method of Multi-Loop Coupling Mechanism Using Geometric Algebra
J. Mechanisms Robotics (June 2025)
Design of an Underactuated, Flexure-Based Gripper, Actuated Through a Push–Pull Flexure
J. Mechanisms Robotics (June 2025)
Modeling and Control of Cable-Driven Exoskeleton for Arm Rehabilitation
J. Mechanisms Robotics (June 2025)
Related Articles
Experimental Characterization of a Large-Range Parallel Kinematic XYZ Flexure Mechanism
J. Mechanisms Robotics (February,2021)
Constraint-Based Design of Parallel Kinematic XY Flexure Mechanisms
J. Mech. Des (August,2007)
An Analytical Formulation for the Lateral Support Stiffness of a Spatial Flexure Strip
J. Mech. Des (May,2017)
Elastic Averaging in
Flexure Mechanisms: A Three-Beam Parallelogram Flexure Case
Study
J. Mechanisms Robotics (November,2010)
Related Proceedings Papers
Related Chapters
Actuators-related Compliance of Serial-kinematics Machines
Mechanics of Accuracy in Engineering Design of Machines and Robots Volume II: Stiffness and Metrology
FSF of Serial-kinematics Systems
Mechanics of Accuracy in Engineering Design of Machines and Robots Volume I: Nominal Functioning and Geometric Accuracy
Accuracy of an Axis
Mechanics of Accuracy in Engineering Design of Machines and Robots Volume I: Nominal Functioning and Geometric Accuracy