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Synthesizing Parallel Flexure Concepts That Mimic the Complex Kinematics of Serial Flexures Using Displaced Screw Systems

[+] Author Affiliations
Jonathan B. Hopkins

Lawrence Livermore National Laboratory, Livermore, CA

Paper No. DETC2011-47335, pp. 33-41; 9 pages
  • ASME 2011 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference
  • Volume 6: 35th Mechanisms and Robotics Conference, Parts A and B
  • Washington, DC, USA, August 28–31, 2011
  • Conference Sponsors: Design Engineering Division and Computers and Information in Engineering Division
  • ISBN: 978-0-7918-5483-9
  • Copyright © 2011 by ASME


The aim of this paper is to introduce the theory necessary to synthesize a new type of parallel flexure system that mimics the complex kinematics of serial flexure systems using a comprehensive library of geometric shapes that represent systems of screws. By displacing these shapes far from the system’s motion stage, designers may rapidly visualize every parallel flexure concept that possesses degrees of freedom (DOFs), which approximate DOFs only achievable by serial flexure systems for small motions. In this way, designers may generate every flexure concept that utilizes the advantages of both parallel and serial flexure systems. This paper’s impact is most significant to the design of precision motion stages, optical mounts, microscopy stages, and general purpose flexure bearings. Two case studies are provided to demonstrate the utility of this theory.

Copyright © 2011 by ASME



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