KARIŞIK SINIR KOŞULLARI ALTINDA FONKSİYONEL DERECELİ SİLİNDİRİK KABUKLARIN TİTREŞİM ANALİZİ

Yıl 2019, Cilt: 8 Sayı: 3, 1 - 15, 20.12.2019

Abdullah Avey Mustafa Süzer

https://doi.org/10.28948/ngumuh.617259

Öz

Sunulan çalışmada, fonksiyonel
derecelendirilmiş silindirik kabukların (FDSK’ların) titreşim problemi klasik
kabuk teorisi (KKT) kullanılarak çözülmektedir. Fonksiyonel dereceli
malzemelerin (FDM’lerin) modelleri oluşturulduktan sonra gerilme-deformasyon
arasındaki temel bağıntılar oluşturulmakta ve bu bağıntılar kullanılarak KKT
kapsamında hareket ve deformasyon uygunluk denklemleri türetilmektedir. KKT
kapsamında, karışık sınır koşulları için kısmi türevli diferansiyel denklemler
Galerkin yöntemi uygulanarak çözüldükten sonra frekans için analitik formül
elde edilmektedir. Elde edilen ifade dalga sayılarına göre minimize edilerek,
frekansın minimum değeri bulunmaktadır. Elde edilen sayısal sonuçlar
literatürdeki mevcut sonuçlarla mukayese edilerek doğruluğu teyit edilmektedir.
FDM'lerin kritik parametreler üzerindeki etkilerini görmek için farklı
profiller için yeni ve özgün sayısal örnekler sunulmaktadır.

Anahtar Kelimeler

FDM’ler, silindirik kabuk, serbest titreşim, karışık sınır koşulları, frekanslar

Kaynakça

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