Vibrational Dynamics of Fixed-Free Mass-Spring Chains: Insights into Longitudinal Oscillations of Carbon Nanotubes (CNTs)
This study demonstrates that while the longitudinal vibrational displacement of carbon nanotubes remains linear and amplitude-independent under fixed-free conditions, the emergence of harmonics in axial force variance serves as an early indicator of nonlinearity, validating a combined displacement-force analysis for characterizing nanoscale dynamics and developing NEMS.