The phenomenon of edge-buckling in an axially moving stretched thin elastic web is
described as a nonstandard singularly perturbed bifurcation problem, which is then
explored through the application of matched asymptotic techniques. Previous
numerical work recently reported in the literature is reevaluated in this context by
approaching it through the lens of asymptotic simplifications. This allows us to
identify two distinct regimes characterised by qualitative differences in the
corresponding eigendeformations; some simple approximate formulae for the critical
eigenvalues are also proposed. The obtained analytical results capture the intricate
relationship between the critical speeds, the background tension, and other
relevant physical and geometric parameters that feature in the mathematical
model.
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