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Intermediate Asymptotics — Dynamical Edge Effect Method

  • I. Andrianov
  • J. Awrejcewicz
  • L. I. Manevitch
Part of the Foundations of Engineering Mechanics book series (FOUNDATIONS)

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.

Keywords

Edge Effect Nonlinear Vibration Plate Vibration Interior Zone Deflection Function 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer-Verlag Berlin Heidelberg 2004

Authors and Affiliations

  • I. Andrianov
    • 1
    • 2
  • J. Awrejcewicz
    • 3
  • L. I. Manevitch
    • 4
  1. 1.KölnGermany
  2. 2.Pridneprovskaya State Academy of Civil Engineering and ArchitectureDnepropetrovkUkraine
  3. 3.Dept. of Automatics and BiomechanicsTechnical University LodzLodzPoland
  4. 4.N. N. Semenov Institute of Chemical Physics RASMoscowRussian Federation

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