Research Information System
ARCHIVE OF APPLIED MECHANICS, vol.95, no.6, 2025 (SCI-Expanded, Scopus)
Vibration analysis of an axially functionally graded carbon nanotube under the effect of partial thermal load has been carried out in the present work. The nanotube is modeled based on the Timoshenko-Ehrenfest beam theory, and size dependency in nanoscale is considered using Eringen's nonlocal elasticity theory. Energy functional of the nanobeam is obtained with potential, kinetic energies and virtual work principle. Material properties exhibit a spatial power law variation along the length of nanotube. Governing partial differential equations of motion with variable coefficients have been solved with Ritz method. Vibration frequencies and mode shapes for graded nanobeam are acquired. Obtained results are compared with the literature, and results display a high degree of accuracy. Vibration frequencies for the axially graded macro-scale beam are also computed by finite element method, and results are compared to test the accuracy of the present method. The influences of material inhomogeneity, graded nonlocality, boundary conditions, partial thermal load and temperature difference on transverse dynamics of the axially functionally graded nanobeam are investigated. Results demonstrate that partial thermal load has a significant effect on vibration frequencies. Thus, thermal effect should be considered in design and fabrication of nanoscale sensors and energy harvesting applications working in high-temperature environment.