A Semi-Analytical Evaluation of Surface and Nonlocal Effects on Buckling and Vibrational Characteristics of Nanotubes with Various Boundary Conditions

摘要: In the present paper, vibrational and buckling characteristics of nanotubes with various boundary conditions are investigated considering coupled effects nonlocal elasticity surface effects, including tension. The Eringen theory is adopted to consider effect small scale size, Gurtin–Murdoch model effect. Hamilton’s principle employed formulate governing equation differential transformation method (DTM) utilized obtain natural frequency critical load conditions. results obtained match available ones in literature. Detailed mathematical derivations presented numerical investigations performed. emphasis placed on several parameters, such as parameter, effect, aspect ratio, mode number beam normalized frequencies loads nanotube. It explicitly shown that vibration a nanotube significantly influenced by these effects. Numerical which may serve benchmarks for future analysis nanotubes.