Synthesis of Precision Flexible Mechanisms Using Screw Theory with a Finite Elements Validation

Conference paper
Part of the Mechanisms and Machine Science book series (Mechan. Machine Science, volume 54)

Abstract

The design of flexible parallel stages has recently been systematized for the three-dimensional space using Screw Theory. This methodology has shown to be practical for precision engineering applications where flexural elements, like beams and blades, are subjected to small displacements; therefore, the statics can be represented by using infinitesimal twists and wrenches. The relationships between the reciprocal twists and wrenches spaces can be related and manipulated by linear algebra. In this work, an analytical enumeration of twists and their associated wrenches for any degree of freedom with zero and infinite pitches is developed. Two synthesis problems are analytically calculated and validated using finite element analysis.

Keywords

Precision mechanisms Screw Theory Linear algebra Finite element analysis 

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Copyright information

© Springer International Publishing AG 2018

Authors and Affiliations

  1. 1.Centro de Investigación en Informática para la Ingeniería (CIII) and CONICET Facultad Regional CórdobaUniversidad Tecnológica NacionalCórdobaArgentina

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