%0 Journal Article
%T Radial vibration analysis of heterogeneous and non
%A Naki Tutuncu
%A Sefa Yildirim
%J The Journal of Strain Analysis for Engineering Design
%@ 2041-3130
%D 2018
%R 10.1177/0309324718765006
%X 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
%K Vibration
%K natural frequency
%K complementary functions method
%K functionally graded materials
%K non-uniform disks
%U https://journals.sagepub.com/doi/full/10.1177/0309324718765006