A comprehensive elliptic integral solution to the large deflection problems of cantilever beams in compliant mechanisms

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Abstract

The elliptic integral solution is often considered as the most accurate method for analyzing large deflections of cantilever beams in compliant mechanisms. In this paper, by explicitly including the number of inflection points (m) and the sign of the end-moment load (SM) in the derivation, a comprehensive solution based on the elliptic integrals is proposed for solving the large deflection problems. The comprehensive solution is capable of solving large deflections of cantilever beams subject to any kind of load cases and of any kind of deflected modes. A few deflected configurations of complex modes solved by the comprehensive solution are presented and discussed. The use of the comprehensive solution in analyzing compliant mechanisms is also demonstrated by a few case studies.

Original languageEnglish
Title of host publication36th Mechanisms and Robotics Conference
PublisherAmerican Society of Mechanical Engineers (ASME)
Pages181-190
Number of pages10
EditionPARTS A AND B
ISBN (Print)9780791845035
DOIs
StatePublished - 2012
Externally publishedYes
EventASME 2012 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference, IDETC/CIE 2012 - Chicago, IL, United States
Duration: 12 Aug 201212 Aug 2012

Publication series

NameProceedings of the ASME Design Engineering Technical Conference
NumberPARTS A AND B
Volume4

Conference

ConferenceASME 2012 International Design Engineering Technical Conferences and Computers and Information in Engineering Conference, IDETC/CIE 2012
Country/TerritoryUnited States
CityChicago, IL
Period12/08/1212/08/12

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