Abstract
Elastic guided wave propagation in a rotating functionally graded material (FGM) annular plate is presented in this paper. The material properties are assumed to vary continuously along the radial direction. The elastodynamic equation of annular plates which take into account initial hoop, centrifugal and Coriolis effects is derived, and the wave finite element method is extended to model wave motion related to rotation with 3D-Chebyshev spectral elements. Firstly, wave properties in a straight bar are computed and compared to that of the Rayleigh–Ritz method. Then, wave propagation in the FGM annular plate with various material gradient indexes is considered and the results indicate that the index has large influence on wave characteristics. With contour profiles of transverse sections, propagating wave modes in the plate can be identified distinctly. Besides, the effects of rotation on wave propagation are discussed, which show that the extensional-like and shearing-like wave modes are very sensitive to the rotation at low frequencies but the flexural are not. In addition, the curve veering phenomenon existing in FGM annular plates is also found, which analyzes the influences of material gradient index and rotating speed and points out the variations in the relative critical frequencies.
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Li, C.L., Han, Q., Liu, Y.J. et al. Guided wave propagation in rotating functionally graded annular plates. Acta Mech 228, 1083–1095 (2017). https://doi.org/10.1007/s00707-016-1752-9
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DOI: https://doi.org/10.1007/s00707-016-1752-9