Nonlocal Effect on Random Free Vibration of Carbon Nanorods

The current study includes the effect of nonlocal elasticity on the random free vibration of carbon nanorods. The formulation of the nonlocal elasticity model is based on the foundation laid by D'Alembert and Eringen, which are employed to determine the random natural frequencies subjected to the longitudinal vibration. The random free vibration is analyzed considering Monte Carlo simulation (MCS). The validation and error percentage associated with the fundamental natural frequency of nanorods are derived using nonlocal theory and lattice dynamics through Molecular Dynamics simulation. Random natural frequencies are acquired by considering variations in individual and combined input parameters like Young's modulus, mass density and nonlocal parameters. Sensitivity analysis is then conducted to pinpoint the most influential parameters.