Closed-Form Elliptic Integral Solution of Initially-Straight and Initially-Curved Small-Length Flexural Pivots
Compliant mechanisms gain some or all of their mobility from the deflection of their flexible members. The pseudo-rigidbody model (PRBM) concept allows compliant mechanisms to be modeled using existing knowledge of rigid-body mechanisms, thereby, simplifying the design process. A pseudo-rigid-body model represents a compliant segment with two or more rigid-body segments, connected by pin joints or characteristic pivots. A compliant segment that is small in length, compared to the relatively rigid segments between which it is affixed, is termed a small-length flexural pivot (SLFP). This paper presents closed-form deflection solutions using the elliptic integral method for initially-straight and initially-curved SLFPs. The assumptions made in modeling the small-length flexural pivots in a PRBM are validated by means of the elliptic integral solutions.
A. Midha and R. Kuber, "Closed-Form Elliptic Integral Solution of Initially-Straight and Initially-Curved Small-Length Flexural Pivots," Proceedings of the ASME 2014 International Design Engineering Technical Conferences & Computers and Information in Engineering Conference (2014, Buffalo, NY), American Society of Mechanical Engineers (ASME), Aug 2014.
The definitive version is available at https://doi.org/10.1115/DETC2014-35268
ASME 2014 International Design Engineering Technical Conferences & Computers and Information in Engineering Conference, IDETC/CIE 2014 (2014: Aug. 17-20, Buffalo, NY)
Mechanical and Aerospace Engineering
Keywords and Phrases
Design; Integral equations; Mechanisms; Rigid structures; Closed form; Design process; Elliptic integrals; Pin joints; Pseudo rigid bodies; Pseudo-rigid body models; Rigid body; Compliant mechanisms
International Standard Book Number (ISBN)
Article - Conference proceedings
© 2014 American Society of Mechanical Engineers (ASME), All rights reserved.