3-D Vibration analysis of the rectangular micro damaged plates

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Tarih

2008

Dergi Başlığı

Dergi ISSN

Cilt Başlığı

Yayıncı

Springer

Erişim Hakkı

info:eu-repo/semantics/closedAccess

Araştırma projeleri

Organizasyon Birimleri

Dergi sayısı

Özet

In the present work, damaged plates are modeled by the micro-elongation theory which neglects the micropolar effects in Eringen's microstretch theory. The wave propagation problem is Studied and a new wave which does not appear in the classical theory of elasticity is observed. The Ritz method is extended to the microelongation theory and triplicate Chebyshev series multiplied by a boundary function are used as admissible functions to approximate plate deflection, and the frequency equations of the microelongated plate are obtained by using Chebyshev-Ritz method. The additional frequencies due to the microstructure of the plate are observed among the values of the classical frequencies. We examined the relation between these additional frequencies and the material constants of the microelongated medium and observed that these additional frequencies disappear while the all microelongational constants are taken as zero.

Açıklama

Anahtar Kelimeler

Microelongation theory, Micro damaged plate, Natural frequencies, Vibrations (mechanical), Wave propagation, Admissible functions, Boundary function, Chebyshev-Ritz methods, Frequency equation, Microelongation, Micropolar effects, Plate deflections, Wave propagation problems, Vibration analysis

Kaynak

Springer Proceedings in Physics

WoS Q Değeri

N/A

Scopus Q Değeri

N/A

Cilt

126

Sayı

Künye

Kiriş, A. & İnan, E. (2008). 3-D vibration analysis of the rectangular micro damaged plates, Paper presented at the Springer Proceedings in Physics, 126, 207-214. doi:10.1007/978-1-4020-9100-1_21