ÜÇ TABAKALI HOMOJEN OLMAYAN ORTOTROP SİLİNDİRİK KABUKLARIN DOĞRUSAL DİNAMİK STABİLİTESİ

Bu çalışmada elastisite modülleri kalınlık koordinatına bağlı olarak parçalı sürekli değişen ortotrop elastik malzemeden oluşturulan üç tabakalı silindirik kabukların, zamana göre kuvvet fonksiyonu şeklinde değişen yanal dış basınç yükü etkisi altında doğrusal dinamik stabilitesi araştırılmıştır. Önce temel bağıntı, doğrusal dinamik stabilite ve deformasyon uygunluk denklemleri çıkarılmıştır. Bu denklemlere Ritz tipi yöntem uygulanarak, kritik yükler ve dinamiklik katsayısı için genel formüller elde edilmiştir. Homojen ortotrop ve izotrop tek tabakalı silindirik kabuklar için uygun ifadeler, bu formüllerden özel olarak elde edilmiştir. Daha sonra sayısal hesaplar yapılarak elastisite modülleri değişiminin, yükleme hızının, tabaka sayısı ve dizilişinin kritik parametrelere etkileri incelenmiştir.

THE LINEAR DYNAMIC STABILITY OF THREE LAYERED NON- HOMOGENEOUS ORTHOTROPIC CYLINDRICAL SHELLS

In this study, the linear dynamic stability of three layered orthotropic cylindrical shells in which elasticity moduli is varying piecewise continuously in the thickness direction, under external pressure which vary as a power function of time, was investigated. Firstly, fundamental relations, linear dynamic stability and deformation compatibility equations were derived. By applying modified Ritz type method general formulas were obtained for critical loads and dynamic factor. Proper expressions for homogeneous orthotropic and isotropic single-layer cylindrical shells were obtained as special cases. Then, effects of variation of elasticity moduli, loading speeds, number and ordering of layers on the critical parameters were examined.

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