Intermediate Asymptotics — Dynamical Edge Effect Method

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


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.


Edge Effect Nonlinear Vibration Plate Vibration Interior Zone Deflection Function 
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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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