Wave propagation in functionally graded cylindrical nanoshells based on nonlocal Flugge shell theory

摘要

.In the present work, wave propagation characteristics of circular cylindrical nanoshells made of functionally graded materials are investigated. Material properties of the nanoshells are graded in the thickness direction according to the power-law distribution. The Flugge shell theory together with the nonlocal elasticity theory is employed to model the present system. The wave dispersion relations with respect to the wave number in the longitudinal and circumferential directions are derived. In addition, a parametric study is carried out to highlight the influences of the power-law exponent, the wave number, the nonlocal parameter and the radius-to-thickness ratio. The results indicate that these parameters have a significant effect on the wave propagation characteristics of functionally graded material (FGM) cylindrical nanoshells.