Dynamic behavior of elastic strips near shape transitions

نویسندگان

چکیده

Elastic strips provide a general motif for studying shape transitions. When actuated through rotation of its boundaries, buckled strip exhibits, depending on the direction rotation, three types transitions: buckling, algebraic snap-through, or exponential snap-through. The transition dynamics is linked to character bifurcation, which, in turn, disclosed by normal form system, but deriving forms challenging. Recent work has used asymptotic methods obtain this but, date, there no methodology extending analysis other Here we introduce method analyze dynamic characteristics an elastic near and extend, straightforward manner, previously proposed snap-through buckling Importantly, show that these dictate all transition. Our provides reliable tools diagnose anticipate

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ژورنال

عنوان ژورنال: Physical review

سال: 2023

ISSN: ['0556-2813', '1538-4497', '1089-490X']

DOI: https://doi.org/10.1103/physreve.107.065001