Radial vibration analysis of heterogeneous and non-uniform disks via complementary functions method


YILDIRIM S. , TÜTÜNCÜ N.

JOURNAL OF STRAIN ANALYSIS FOR ENGINEERING DESIGN, cilt.53, ss.332-337, 2018 (SCI İndekslerine Giren Dergi) identifier identifier

  • Cilt numarası: 53 Konu: 5
  • Basım Tarihi: 2018
  • Doi Numarası: 10.1177/0309324718765006
  • Dergi Adı: JOURNAL OF STRAIN ANALYSIS FOR ENGINEERING DESIGN
  • Sayfa Sayıları: ss.332-337

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.