Due to their potential use as sensors, actuators, drug delivery systems, and other devices, microtubules (MT) have significant technical significance. It is crucial to comprehend the biological function of the MTs since their characteristics and mechanics are significantly influenced by their biomechanical environment. Although static microtubule mechanics has received a great deal of attention, only a small number of studies have focused on the biomechanical characteristics of microtubules that are deforming and vibrating. In this work, we use 3D finite element analysis to examine the biomechanical characteristics of the microtubule under bending deformation and free vibration. Finite element analysis results for force-deformation, vibration frequencies, and mode shapes are shown. According to the results, over longer time intervals, the force-deformation characteristics become non-linear and change with time and phase. Higher modes will exhibit coupled bending, torsion, and axial deformations and have MT vibration modes with frequencies in the GHz range. The deformation of these higher modes and forms changes, which may have effects on biological and physiological activity, particularly in terms of sensing, actuation, and communication with cells. Understanding the bending force-deformation properties, vibration modes, and frequency of self-assembled microtubules should be made easier