TY - JOUR
T1 - Parametric excitation of wrinkles in elastic sheets on elastic and viscoelastic substrates
AU - Diamant, Haim
N1 - Publisher Copyright:
© 2021, The Author(s), under exclusive licence to EDP Sciences, SIF and Springer-Verlag GmbH Germany, part of Springer Nature.
PY - 2021/6
Y1 - 2021/6
N2 - Abstract: Thin elastic sheets supported on compliant media form wrinkles under lateral compression. Since the lateral pressure is coupled to the sheet’s deformation, varying it periodically in time creates a parametric excitation. We study the resulting parametric resonance of wrinkling modes in sheets supported on semi-infinite elastic or viscoelastic media, at pressures smaller than the critical pressure of static wrinkling. We find distinctive behaviors as a function of excitation amplitude and frequency, including (a) a different dependence of the dynamic wrinkle wavelength on sheet thickness compared to the static wavelength; and (b) a discontinuous decrease in the dominant wrinkle wavelength upon increasing excitation frequency at sufficiently large pressures. In the case of a viscoelastic substrate, resonant wrinkling requires crossing a threshold of excitation amplitude. The frequencies for observing these phenomena in relevant experimental systems are of the order of a kilohertz and above. We discuss experimental implications of the results. Graphic abstract: [Figure not available: see fulltext.]
AB - Abstract: Thin elastic sheets supported on compliant media form wrinkles under lateral compression. Since the lateral pressure is coupled to the sheet’s deformation, varying it periodically in time creates a parametric excitation. We study the resulting parametric resonance of wrinkling modes in sheets supported on semi-infinite elastic or viscoelastic media, at pressures smaller than the critical pressure of static wrinkling. We find distinctive behaviors as a function of excitation amplitude and frequency, including (a) a different dependence of the dynamic wrinkle wavelength on sheet thickness compared to the static wavelength; and (b) a discontinuous decrease in the dominant wrinkle wavelength upon increasing excitation frequency at sufficiently large pressures. In the case of a viscoelastic substrate, resonant wrinkling requires crossing a threshold of excitation amplitude. The frequencies for observing these phenomena in relevant experimental systems are of the order of a kilohertz and above. We discuss experimental implications of the results. Graphic abstract: [Figure not available: see fulltext.]
UR - http://www.scopus.com/inward/record.url?scp=85107959410&partnerID=8YFLogxK
U2 - 10.1140/epje/s10189-021-00085-y
DO - 10.1140/epje/s10189-021-00085-y
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C2 - 34128126
AN - SCOPUS:85107959410
SN - 1292-8941
VL - 44
JO - European Physical Journal E
JF - European Physical Journal E
IS - 6
M1 - 78
ER -