Thermoelastic vibration and damping analysis of double-walled carbon nanotubes based on shell theory

Thermoelastic vibration and damping of a double-walled carbon nanotube upon interlayer van der Waals (vdW) interaction and initial axial stresses are studied. The inner and outer carbon nanotubes are modeled as two individual elastic thin shells. The general thermoelastic coupled equations for cylindrical thin shells are presented and simulation results are demonstrated for double-walled carbon nanotubes (DWCNTs). Numerical results show that noncoaxial frequencies are insensitive to initial axial stress while the coaxial (natural) frequencies are sensitive to the initial axial stress. However, the influence of thermal effect is not significant on the frequencies. Thermoelastic damping effect in the vibration of simply-supported DWCNT is smaller than that of SWCNT but for clamped-clamped DWCNT, thermoelastic damping is higher than that of SWCNT. In addition, investigation about the effect of initial axial tensile stress on thermoelastic damping shows that this factor increases dissipation in simply-supported nanotubes and decreases it for clamped-clamped nanotubes. Published by Elsevier B.V.