Identification of the material properties of microisotropic materials

A. Kiris, E. Inan*

*Corresponding author for this work

Research output: Contribution to journalArticlepeer-review


The vibration problem of a rectangular plate is considered in the present work. The main purpose here is to identify the upper bounds of the unknown material moduli of the microisotropic plate material. The frequency spectrum is obtained by extending Ritz Method to the present case. Three dimensional (3-D) vibration analysis is performed and some additional frequencies are observed among the classical frequencies as characterizing the microisotropic effects. These additional frequencies disappear by increasing values of microisotropic constants beyond some certain limits while the classical frequencies remain in the spectrum. The inverse problem is established for the identification of the upper bounds of the microisotropic constants as an optimization problem where an error function is minimized.

Original languageEnglish
Pages (from-to)237-252
Number of pages16
JournalJournal of Vibration Engineering and Technologies
Issue number3
Publication statusPublished - 1 Jul 2015


  • Inverse method
  • Microisotropy
  • Natural frequencies
  • Plate vibration


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