Vibration analysis of a pre-stressed curved thin plate

Öz

In this study, the free vibration analysis of cantilever isotropic thin plate, which is a large deflected, is investigated. The large deflection is obtained by applying an external distributed vertical load on the cantilever plate then fixing from the other end as the deflection is large. The non - linear deflection curve of the largely deflected flexible plate is obtained from the large deflection equation of the beams. The curved thin plate is modeled by using the finite element method considering a four-node quadrilateral flat shell element. The effects of the load parameter on the natural frequency parameters and mode shapes are investigated. The results are given in tables and graphics. In addition, the natural frequency parameters obtained from the present model are compared with those of ANSYS software to verify the reliability and validity of the present model. The load parameter that forms the curved thin plate changes mode shapes of the plate structure.

Anahtar Kelimeler

• Large deflection
• Curved thin plate
• Vibration
• Pre-stressed
• Finite element analysis

Ön gerilmeli eğri ince plakanin titreşim analizi

Öz

Bu çalışmada, büyük çökmeli izotropik ince plakanın serbest titreşim analizi incelenmiştir. Büyük çökme, tek tarafı sabitlenmiş plakaya harici bir dağıtılmış dikey yük uygulanarak ve ardından diğer uçtan sabitlenerek elde edilir. Bükülmüş esnek levhanın doğrusal olmayan çökme eğrisi, kirişlerin büyük çökme denkleminden elde edilir. Eğri ince levha, dört düğümlü dörtgen yassı kabuk eleman dikkate alınarak sonlu elemanlar yöntemi kullanılarak modellenmiştir. Yük parametresinin doğal frekans parametreleri ve mod şekilleri üzerindeki etkileri incelenmiştir. Sonuçlar, tablolar ve grafikler halinde verilmiştir. Ek olarak, mevcut modelden elde edilen doğal frekans parametreleri, mevcut modelin güvenilirliğini ve geçerliliğini doğrulamak için ANSYS yazılımı ile karşılaştırılır. Eğri ince levhayı oluşturan yük parametresi, levha yapısının mod şekillerini değiştirir.

Anahtar Kelimeler

• Büyük çökme
• Eğri ince plaka
• Titreşim
• Öngerilme
• Sonlu elemanlar analizi

Kaynakça

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