Snapping of elastic strips with controlled ends. (1st May 2019)

• Record Type: Journal Article
• Authors: Cazzolli, Alessandro; Dal Corso, Francesco
• Is Part Of: International journal of solids and structures. Volume 162(2019)
• Page Start: 285
• Page End: 303
• Publication Date: 2019-05-01
• Subjects: Elastica -- Snap-back -- Bifurcation -- Stability; Mechanics, Applied -- Periodicals; Structural analysis (Engineering) -- Periodicals; Elastic solids -- Periodicals; Mécanique appliquée -- Périodiques; Constructions, Théorie des -- Périodiques; Solides élastiques -- Périodiques; Elastic solids; Mechanics, Applied; Structural analysis (Engineering); Periodicals; 624.18
• DOI: 10.1016/j.ijsolstr.2018.12.005
• Languages: English
• ISSNs: 0020-7683

Abstract

Graphical abstract: Abstract: Snapping mechanisms are investigated for an elastic strip with ends imposed to move and rotate in time. Attacking the problem analytically via Euler's elastica and the second variation of the total potential energy, the number of stable equilibrium configurations is disclosed by varying the kinematics of the strip ends. This result leads to the definition of a 'universal snap surface', collecting the sets of critical boundary conditions for which the system snaps. The elastic energy release at snapping is also investigated, providing useful insights for the optimization of impulsive motion. The theoretical predictions are finally validated through comparisons with experimental results and finite element simulations, both fully confirming the reliability of the introduced universal surface. The presented analysis may find applications in a wide range of technological fields, as for instance energy harvesting and jumping robots.