Biomimetic scale substrates on beams exhibit deterministic chaos in flexural vibrations through contact-induced nonlinearity and asymmetry, captured by a geometry-mapped reduced-order oscillator and confirmed in simulations.
The equation is projected onto a weighting function chosen to be iden- tical to the fundamental first eigenmode of the beam (ϕ1(¯x) = sin(π¯x))
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Chaotic Flexural Vibrations in Biomimetic Scale Substrates
Biomimetic scale substrates on beams exhibit deterministic chaos in flexural vibrations through contact-induced nonlinearity and asymmetry, captured by a geometry-mapped reduced-order oscillator and confirmed in simulations.