Vibration Analysis of Single-Walled Carbon Nanotubes Embedded in a Polymer Matrix under Magnetic Field Considering the Surface Effect Based on Nonlocal Strain Gradient Elasticity Theory

Single-walled carbon nanotubes (SWCNTs) in an elastic medium under a longitudinal magnetic field have piqued the interest of researchers as elements utilized nanoelectro-magneto-mechanical systems (NEMMS). This work presents vibration analysis embedded SWCNTs using nonlocal second-order strain gradient elasticity theory. Considering surface effect, characteristic equation motion for SWCNT polymer matrix is formulated and derived. The dependence distinct natural frequency on nanotube chiral angle diameter clarified. effects various parameters characteristics are examined discussed, including field, index, angle, chirality SWCNTs, vibrational mode number, aspect ratio (length-to-diameter ratio), material length scale parameters. numerical findings this might be helpful study implementation NEMMS devices.