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Localization

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

Abstract

Consider a homogeneous linear chain with one inclusion, i.e. we assume that the elastic support number n = 0 possesses a stiffness which differs from other ones: γ n = γ + ΔγS 0n (S 0n is the Cronecker symbol). The following equations govern oscillations of the considered chain
$${\mathop u\limits^{..} _n} - c\left( {{u_{n - 1}} - 2{u_n} + {u_{n + 1}}} \right) + \left( {\gamma + \Delta \gamma {\delta _{0n}}} \right){u_n} = 0$$
(12.1)
.

Keywords

Cylindrical Shell Linear Chain Conical Shell Type Barrier Coupling Stiffness 
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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