On the identification of microstretch elastic moduli of materials by using vibration data of plates

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Tarih

2008-06

Dergi Başlığı

Dergi ISSN

Cilt Başlığı

Yayıncı

Pergamon-Elsevier Science LTD

Erişim Hakkı

info:eu-repo/semantics/closedAccess

Araştırma projeleri

Organizasyon Birimleri

Dergi sayısı

Özet

In the present work, the vibration problems of rectangular plates modeled by Eringen's microstretch theory are investigated for the identification of the upper bounds of the microstretch moduli of the plate material. The calculated frequencies of the plates are obtained by extending the Ritz method to the microstretch plates. The three dimensional (3D) vibration analysis of the plates shows that some additional frequencies occur among the classical frequencies as characterizing the microstretch effects. Then it is also observed that these additional frequencies disappear and only the classical frequencies remain with the increasing values of microstretch constants. The inverse problem is established for the identification of the upper bounds of the microstretch elastic constants as an optimization problem where an error function is minimized.

Açıklama

Anahtar Kelimeler

Microstretch constants, Plate vibration, Natural frequencies, Inverse method, Constants, Elastic moduli, Inverse problems, Optimization, Problem solving, Vibration analysis, Inverse methods, Microstretch effects, Rectangular plates, Ritz method, Plates (structural components)

Kaynak

International Journal of Engineering Science

WoS Q Değeri

Q1

Scopus Q Değeri

Q1

Cilt

46

Sayı

6

Künye

Kırış, A. & İnan, E. (2008). On the identification of microstretch elastic moduli of materials by using vibration data of plates. International Journal of Engineering Science, 46(6), 585-597. doi:10.1016/j.ijengsci.2008.01.001