Abstract
Bolotin [181, 182] proposed the asymptotic approach to estimate eigenfrequencies of oscillations of elastic systems, accuracy of which increases for higher number eigenfunctions. The key idea of the method is focused on a splitting of the input equations occupied domain in two groups: a) solution in interior zone of construction, and b) dynamical edge effect localized in a neighbourhood of boundaries or along the certain lines. Note that usually both dynamical edge effect as well as a solution within an interior zone are changed fastly with respect to spatial coordinates.
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© 2004 Springer-Verlag Berlin Heidelberg
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Andrianov, I., Awrejcewicz, J., Manevitch, L.I. (2004). Intermediate Asymptotics — Dynamical Edge Effect Method. In: Asymptotical Mechanics of Thin-Walled Structures. Foundations of Engineering Mechanics. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-45246-1_11
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DOI: https://doi.org/10.1007/978-3-540-45246-1_11
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-07415-8
Online ISBN: 978-3-540-45246-1
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