A Closed-Form Model for the Support Stiffness of Spatial Flexure Strips With Limited Twist

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Abstract

The stiffness characteristics of flexure strips in the constrained directions are an important attribute of their behavior when serving as a constituent of flexure mechanisms. The decrease in support stiffness that accompanies movement in the intended degrees of freedom limits the performance of mechanisms comprised of such strips. This paper presents a closed-form nonlinear model that describes the support stiffness in 3-D under arbitrary end-load for the elementary flexure strip. The formulation takes into account geometrical nonlinearities by means of finite strain relations and deformed-configuration equilibrium equations. By distinguishing the low-stiffness large-deflection motion (the degrees of freedom) from the high-stiffness small-deflection motion (the constrained motion) with the appropriate simplification of limited twist, a closed-form stiffness model is obtained for dimension and load ranges of practical interest.
Original languageEnglish
Title of host publicationASME 2016 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference
Subtitle of host publicationVolume 5A: 40th Mechanisms and Robotics Conference
Place of PublicationCharlotte, NC, USA
PublisherAmerican Society of Mechanical Engineers (ASME)
Number of pages10
Volume5A
Edition40
ISBN (Electronic)978-0-7918-5015-2
DOIs
Publication statusPublished - 21 Aug 2016
Event40th Mechanisms and Robotics Conference 2016 - Charlotte, United States
Duration: 21 Aug 201624 Aug 2016

Conference

Conference40th Mechanisms and Robotics Conference 2016
CountryUnited States
CityCharlotte
Period21/08/1624/08/16

Keywords

  • IR-105051
  • METIS-320621

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    Nijenhuis, M., & Brouwer, D. M. (2016). A Closed-Form Model for the Support Stiffness of Spatial Flexure Strips With Limited Twist. In ASME 2016 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference: Volume 5A: 40th Mechanisms and Robotics Conference (40 ed., Vol. 5A). [DETC2016-59979] Charlotte, NC, USA: American Society of Mechanical Engineers (ASME). https://doi.org/10.1115/DETC2016-59979