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On the Three-Dimensional Vibration Analysis of Rectangular Plates

  • Cristina Gentilini
  • Erasmo Viola
Part of the International Centre for Mechanical Sciences book series (CISM, volume 471)

Abstract

This paper is concerned with the free vibration analysis of simply supported rectangular plates with any thickness. The analysis is based on the linear, small-strain, three-dimensional elasticity theory. It aims to raise the quality of investigation beyond that provided by the approximate two- and three-dimensional plate theories, by resorting to an exact three-dimensional analysis. The proposed technique yields the full vibration spectrum of natural frequencies and mode shapes. The vibration response due to the variations of thickness is investigated. Frequency parameters and three-dimensional deformed mode shapes are presented in vivid graphical forms. Finally, some new numerical results are given, which may serve as benchmark solutions for future research on the aforementioned problem and for validating approximate three-dimensional theories and new computational techniques in the future.

Keywords

Mode Shape Free Vibration Thick Plate Plate Theory Frequency Parameter 
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 Wien 2003

Authors and Affiliations

  • Cristina Gentilini
    • 1
  • Erasmo Viola
    • 1
  1. 1.DISTART DepartmentUniversity of BolognaBolognaItaly

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