Nonlocal Timoshenko frequency analysis of single-walled carbon nanotube with attached mass: An alternative hamiltonian approach

摘要

In the present paper, the nonlocal vibration analysis of single-walled carbon nanotube as nanosized mass-sensor is examined. The nanotube is modeled as a clamped-free Timoshenko beam carrying an attached mass at its free end. Using the nonlocal Timoshenko beam theory, a re-formulation of Hamilton's principle has been presented and the equations of motion and the general corresponding boundary conditions have been derived.