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Vibration of Isotropic Shells

  • Jack R. Vinson
Part of the Solid Mechanics and Its Applications book series (SMIA, volume 18)

Abstract

Entire texts are needed to discuss shell vibrations in their entirety. In this Chapter, axially symmetric vibrations are discussed first so that through their simplicity, it is easy to see how static equations are easily transformed to dynamic equations, and to show the relation to the vibrations of beams: with and without an elastic foundation. Next, the general vibration characteristic of shells are shown through the study of cylindrical shells, also relating the behavior to beam vibrations. Through the work of Koga, only five types of boundary conditions are needed to study any and all boundary conditions. Next, the time portion of dynamic loads is presented in an easy to use manner to study impact response of shells. Finally, the important areas of shells vibrating in beam modes is studied, using two different approaches. This chapter and the references given provide a background for further study of shell vibrations. In Chapter 21, the vibrations of composite shells is discussed and could be studied upon completing this Chapter.

Keywords

Cylindrical Shell Mode Shape Elastic Foundation AIAA Journal Circular Cylindrical Shell 
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 Science+Business Media Dordrecht 1993

Authors and Affiliations

  • Jack R. Vinson
    • 1
  1. 1.Department of Mechanical Engineering and the Center for Composite MaterialsUniversity of DelawareNewarkUSA

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