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research-article

Unified Stiffness Characterization of Non-Linear Compliant Shell Mechanisms

[+] Author and Article Information
Joost Leemans

Department of Precision and Microsystems Engineering, Delft University of Technology
J.R.Leemans@student.tudelft.nl

Charles J. Kim

Department of Mechanical Engineering, Bucknell University
charles.kim@bucknell.edu

Werner van de Sande

Department of Precision and Microsystems Engineering, Delft University of Technology
w.w.p.j.vandeSande@tudelft.nl

Just L. Herder

Department of Precision and Microsystems Engineering, Delft University of Technology
J.L.Herder@tudelft.nl

1Corresponding author.

ASME doi:10.1115/1.4041785 History: Received February 05, 2018; Revised October 08, 2018

Abstract

Compliant shell mechanisms utilize spatially curved thin-walled structures to transfer or transmit force, mo- tion or energy through elastic deformation. To design with spatial mechanisms designers need comprehen- sive non-linear characterization methods, while existing methods fall short of meaningful comparisons between rotational and translational degrees of freedom. This paper presents two approaches, both of which are based on the principle of virtual loads and potential energy, utilizing properties of screw theory, Plucker coordinates and an eigen-decomposition, leading to two unification lengths that can be used to compare and visualize all six degrees of freedom directions and magnitudes of non- linear behaving mechanisms in a non-arbitrary physically meaningful manner.

Copyright (c) 2018 by ASME
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