We studied the stress field and vibration characteristics of functionally graded rotating disks by solving the governing equation of motion using the finite difference scheme. The material was assumed to have a constant Poisson’s ratio with the elastic modulus varying as a power law function of the disk radius. Such a material could be developed by using particle reinforced composites with various reinforcements or reinforcement volume fraction. The results show that the first critical speed of the rotating disk could be increased by using FGMs. The first critical speed is greater for disks having higher elastic modulus at the outer radius. However, the disk may be unstable for certain distribution functions.
On Transverse Vibrations of Functionally Graded Rotating Hollow Disk
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Liu, R, Nayeb-Hashemi, H, Olia, M, & Vaziri, A. "On Transverse Vibrations of Functionally Graded Rotating Hollow Disk." Proceedings of the ASME 2010 International Mechanical Engineering Congress and Exposition. Volume 8: Dynamic Systems and Control, Parts A and B. Vancouver, British Columbia, Canada. November 12–18, 2010. pp. 29-33. ASME. https://doi.org/10.1115/IMECE2010-39383
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