%0 Journal Article %A Fatahi-Vajari, Alireza, Azimzadeh, Zahra %T Free tangential vibration of cracked nanotubes incorporating scale effects using doublet mechanics %J Analytical and Numerical Methods in Mechanical Design %V 3 %N 1 %P 1-14 %D 2025 %R 10.71626/anmd.2025.1199707 %U https://sanad.iau.ir/fa/Article/1199707