Freedom and constraint analysis and optimization

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Many mathematical and intuitive methods for constraint analysis of mechanisms have been proposed. In this article we compare three methods. Method one is based on Grüblers equation. Method two uses an intuitive analysis method based on opening kinematic loops and evaluating the constraints at the intersection. Method three uses a flexible multibody modeling approach which facilitates the analysis of complex systems. We demonstrate a visualization method using generalized von Mises stress to show overconstraint modes. A four bar mechanism and a two-degree-of- freedom (DOF) flexure-based mechanism serve as a case study. Briefly the optimization of the location and orientation of releases is discussed. The implementation of the releases in the flexure-based two DOF mechanism is presented.
Original languageEnglish
Title of host publicationProceedings ASPE 2011 Annual Meeting
Subtitle of host publicationNovember 13-18, 2011
Place of PublicationRaleigh, NC
PublisherAmerican Society for Precision Engineering
Number of pages4
Publication statusPublished - 13 Nov 2011
Event26th ASPE Annual Meeting 2011 - Denver Marriott City Center Hotel, Denver, United States
Duration: 13 Nov 201117 Nov 2011
Conference number: 26


Conference26th ASPE Annual Meeting 2011
Country/TerritoryUnited States
Internet address


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