Ritz formulation for the wave propagation analysis of axially functionally graded carbon nanotubes Ritzi meetod teljesihis funktsionaalselt gradueeritud süsiniknanotorude lainelevi analüüsiks
Proceedings of the Estonian Academy of Sciences, cilt.74, sa.2, ss.234-239, 2025 (SCI-Expanded, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 74 Sayı: 2
- Basım Tarihi: 2025
- Doi Numarası: 10.3176/proc.2025.2.27
- Dergi Adı: Proceedings of the Estonian Academy of Sciences
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, Aerospace Database, Agricultural & Environmental Science Database, Aquatic Science & Fisheries Abstracts (ASFA), Biotechnology Research Abstracts, Central & Eastern European Academic Source (CEEAS), Communication Abstracts, Compendex, INSPEC, Metadex, zbMATH, Directory of Open Access Journals, Civil Engineering Abstracts
- Sayfa Sayıları: ss.234-239
- Anahtar Kelimeler: axially graded, carbon nanotubes, longitudinal, nonlocal elasticity, wave propagation
- Trakya Üniversitesi Adresli: Evet
Özet
Longitudinal wave propagation in axially functionally graded carbon nanotubes was investigated using three different solution methods: analytical, higher order Haar wavelet and Ritz methods. The results of the various solution methods were compared and validated. A weak form solution for the wave frequency was presented using the Lagrangian energy functional and the Ritz method. Exponential and power-law material grading variations were considered. Material grading parameters and grading nonlocality effects on the axial wave propagation frequency were investigated. The present study could be useful in the wave dynamic analysis of axially graded nanostructures.