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The in-plane behavior, linearized transverse vibration, and stability of a thin heated Functionally Graded (FG) rotating annular disk are investigated. The inner edge of the disk is clamped and heated to a constant temperature. The outer edge of the disk is free. A convective heat transfer is considered acting on the disk due to rotation in an environment with still air. The coefficient of thermal expansion, thermal conductivity, and Young’s modulus vary radially according to the same power law. Assuming linear in-plane strains, the in-plane stresses are obtained and used to solve the linear equation of transverse motion to determine the critical speeds and stability characteristics. The results show that both the material property distribution and the heat convection coefficient have a significant effect on both the critical speed and stability characteristics. Moreover, heating a rotating FG disk can cause the modes with higher number of nodal diameters be excited before modes with lower ones. A convective coolant heat transfer acts as a strong stabilizer for the disk. Results suggests that an FG rotating disk with material properties increasing from the center is favorable to keep the disk stable and stress levels low if a continuous air supply is provided.

Stress analysis and thermoelastic instability of an annular functionally graded rotating disk