i) According to the actuating force:
a) Free vibration
b) Forced vibration
ii) According to energy dissipation:
a) Undamped vibration
b) Damped vibration
iii) According to behavior of vibrating system:
a) Linear vibration
b) Non – linear vibration
iv) According to motion of system with respect to axis:
a) Longitudinal vibration
b) Transverse vibration
c) Torsional vibration