Yay Kütle Sistemi İle Birleştirilmiş Fonksiyonel Olarak Derecelendirilmiş Nanokirişin Özdeğer Problemi İle Çözümü

Abstract

Nanokirişler günümüzde çok sayıda titreşim frekansı araştırmasında yaygın olarak kullanılmaktadır. Bu çalışmada, nanokirişin ucuna takılı halde bulunan buckyball ve yayın titreşim frekans analizini yapabilmek için bir özdeğer problemi kullanılmıştır. Bu özdeğer probleminde sistemin titreşim frekansları tek bir (2x2) matris kullanılarak hesaplanabilir. Bu çalışmada, nanokirişlere bağlı sensörleri analiz etmek için matematiksel bir yöntem sunulmaktadır. Bu makalede elde edilen sonuçlar literatürde yapılan titreşim frekansı çalışmaları ile uyumlu bir sonuç göstermiştir ve sonuçlar tablo ve grafiklerle sunulmuştur.

Keywords

• Frekans
• Karbon Nanotüp
• Buckyball
• Özdeğer Problemi

An EIGENVALUE SOLUTION OF FUNCTIONALLY GRADED NANOBEAM with an ATTACHED SPRING MASS SYSTEM

Abstract

Nanobeams are now widely used in numerous vibration frequency research. In this study, an eigenvalue problem has used to determine the vibration frequency analysis of the buckyball and spring attached to the end of the nanobeam. The vibration frequencies of the system may be discovered using a single (2x2) matrix in this eigenvalue problem. A mathematical method for analyzing sensors has attached to nanobeams is presented in this paper. The results, which is obtained in this study, has showed a result that has compatible with the flicker frequency studies conducted in the literature, and the results have presented in tables and graphics.

Keywords

• Frequency
• Carbon Nanotube
• Buckyball
• Buckyball
• Eigenvalue Problem.

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