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This study investigates thermal effect on free vibration of cracked single-walled carbon nanotubes (SWCNTs) embedded in an elastic medium under different boundary conditions. The nonlocal Euler–Bernoulli beam equations are derived using the Hamiltonian principle. The interaction of the elastic medium and the SWCNT is modeled using Winkler-type foundation. The effect of low and high temperatures, crack severity, crack position, scale coefficient, and elastic medium are investigated. The results show that the temperature at some cases have the significant effects on the frequencies. The elastic medium has a great influence on the frequencies of cracked and non-cracked beams at any temperature.

Effect of temperature on vibration of cracked single-walled carbon nanotubes embedded in an elastic medium under different boundary conditions