Radial vibration analysis of heterogeneous and non-uniform disks via complementary functions method
JOURNAL OF STRAIN ANALYSIS FOR ENGINEERING DESIGN, cilt.53, sa.5, ss.332-337, 2018 (SCI-Expanded, Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 53 Sayı: 5
- Basım Tarihi: 2018
- Doi Numarası: 10.1177/0309324718765006
- Dergi Adı: JOURNAL OF STRAIN ANALYSIS FOR ENGINEERING DESIGN
- Derginin Tarandığı İndeksler: Science Citation Index Expanded (SCI-EXPANDED), Scopus
- Sayfa Sayıları: ss.332-337
- Çukurova Üniversitesi Adresli: Evet
Özet
Free vibration analysis of heterogeneous (functionally graded) and non-uniform (variable thickness) disks using plane elasticity results in a two-point boundary value problem. Spatially varying mechanical and thickness properties yield variable coefficient governing differential equations where obtaining closed-form solutions are not possible except for certain simple grading and thickness functions. This article uses complementary functions method as a novel approach to determine natural frequencies of functionally graded non-uniform disks. The validation and observation of converges are done using analytical and ANSYS results for a simple power law model uniform disk. The proposed solution method can be applied for disks with any continuous thickness and material grading functions.