Pseudospektral Chebyshev yöntemi ile fonksiyonel dereceli çubukların zorlanmış titreşim analizi

Year 2025, Volume: 16 Issue: 1, 147 - 155

Özlem Cerit , Durmuş Yarımpabuç

https://doi.org/10.24012/dumf.1573732

Abstract

Eksenel yönde değişken kesit alanına sahip fonksiyonel olarak dereceli çubuğun zorlanmış titreşim analizi ele alınmıştır. Elastik modül ve yoğunluk gibi malzeme özelliklerinin eksenel yönde derecelendirildiği varsayılmıştır. Bu koşullar, geleneksel analitik yöntemlerle çözülmesi zor olan değişken katsayılı kısmi diferansiyel denklemle sonuçlanır. Laplace dönüşümü altında, kısmi diferansiyel denklem eksenel yönde zamandan bağımsız bir sınır değer problemine dönüştürülmüş ve pseudospektral Chebyshev yöntemi ile çözülmüştür. Modifiye edilmiş ters Durbin yöntemi kullanılarak fiziksel uzaydaki yer değiştirmeler elde edilmiştir. Birleştirilmiş sayısal yöntemle elde edilen sonuçlar literatürle doğrulanmıştır. Rastgele seçilen malzeme karışımının yer değiştirme dağılımları üzerindeki etkileri tartışılmıştır.

Keywords

Zorlanmış Titreşim, fonksiyonel dereceli çubuklar, pseudospektral Chebyshev yöntemi, Laplace dönüşümü, modifiye Durbin yötemi

Project Number

OKÜ BAP-2023-PT2-021

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