TY - JOUR
T1 - Unified stiffness characterization of nonlinear compliant shell mechanisms
AU - Leemans, Joost R.
AU - Kim, Charles J.
AU - van de Sande, Werner W.P.J.
AU - Herder, Just L.
PY - 2019
Y1 - 2019
N2 - Compliant shell mechanisms utilize spatially curved thin-walled structures to transfer or transmit force, motion, or energy through elastic deformation. To design spatial mechanisms, designers need comprehensive nonlinear characterization methods, while the 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. This leads to two unification lengths that can be used to compare and visualize all six degrees-of-freedom directions and magnitudes in a nonarbitrary, physically meaningful manner for mechanisms exhibiting geometrically nonlinear behavior.
AB - Compliant shell mechanisms utilize spatially curved thin-walled structures to transfer or transmit force, motion, or energy through elastic deformation. To design spatial mechanisms, designers need comprehensive nonlinear characterization methods, while the 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. This leads to two unification lengths that can be used to compare and visualize all six degrees-of-freedom directions and magnitudes in a nonarbitrary, physically meaningful manner for mechanisms exhibiting geometrically nonlinear behavior.
UR - http://www.scopus.com/inward/record.url?scp=85058374590&partnerID=8YFLogxK
U2 - 10.1115/1.4041785
DO - 10.1115/1.4041785
M3 - Article
AN - SCOPUS:85058374590
SN - 1942-4302
VL - 11
JO - Journal of Mechanisms and Robotics
JF - Journal of Mechanisms and Robotics
IS - 1
M1 - 011011
ER -