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Other periodic structures

  • Leonid I. Manevitch
  • Victor G. Oshmyan
  • Igor V. Andrianov
Part of the Foundations of Engineering Mechanics book series (FOUNDATIONS)

Abstract

Numerous publications are devoted to the problem of the vibration of plates and cylindrical shells with apparent oscillators [9]. A sketch for one of them is shown in Fig. 8.1. An exact solution is available only in the case of special boundary conditions [142]. If the boundary conditions differ from those of simply support, the exact solution is very problematic, especially in the case of numerous masses. However, the homogenization technique is very efficient in this limit.

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Copyright information

© Springer-Verlag Berlin Heidelberg 2002

Authors and Affiliations

  • Leonid I. Manevitch
    • 1
  • Victor G. Oshmyan
    • 2
  • Igor V. Andrianov
    • 1
  1. 1.Institute of Chemical PhysicsMoscowRussia
  2. 2.Institute of Chemical PhysicsRussia

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