Vibration and instability of functionally graded circular cylindrical spinning thin-walled beams

Problems related to the thermoelastic modeling and behavior of circular cylindrical thin-walled beams made of functionally graded materials and spinning with a constant speed about their longitudinal axis are addressed. In this context, the implications of conservative and gyroscopic forces considered in conjunction with a temperature field that yields the material degradation of the beam elastic properties, on their vibration and instability are investigated. A continuously graded variation in composition of the ceramic and metal phases across the beam wall thickness in terms of a simple power law distribution is implemented. Results highlighting the effects of the volume fraction, temperature gradient (considered in conjunction with the temperature degradation of material properties), compressive axial load and rotational speed on vibration and instability of spinning beams are presented and pertinent conclusions are drawn.