For a 1DOF system how many natural frequency frequencies doe

For a 1DOF system, how many natural frequency (frequencies) does it have? How many vibration(s) could it possibly have when set into free vibration? (b) For a 2DOF system, how many natural frequency (frequencies) does it have? How many vibration(s) could it possibly have when set into free vibration?

Solution

a) For one DOF system it can have 1 natural frequency.It will have one vibration when set into free vibration according to its position

b) For two DOF system it can have 2 natural frequency.It will have two vibration when set into free vibration according to its position ie longitudinal or torsional ,transverse or torsional