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A numerical study on the suppression of draw resonance by inertia
Author(s) -
Hagen T.,
Langwallner B.
Publication year - 2006
Publication title -
zamm ‐ journal of applied mathematics and mechanics / zeitschrift für angewandte mathematik und mechanik
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.449
H-Index - 51
eISSN - 1521-4001
pISSN - 0044-2267
DOI - 10.1002/zamm.200410225
Subject(s) - inertia , inertial frame of reference , context (archaeology) , nonlinear system , resonance (particle physics) , fictitious force , balance (ability) , mechanics , elongation , classical mechanics , physics , stability (learning theory) , vibration , computer science , materials science , acoustics , ultimate tensile strength , geology , psychology , paleontology , quantum mechanics , particle physics , machine learning , metallurgy , neuroscience
We study the one‐dimensional equations governing the formation of viscous fluid fibers in forced elongation when inertia enters the dominant balance. Even though it has been known for a long time that quite weak inertial forces suffice to suppress the onset of draw resonance, we shall give quantitatively more precise results than those reported before in the context of linear stability analysis. In addition, we shall demonstrate by numerical simulation that these findings remain valid in the nonlinear regime.