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The natural frequency of an element, known as eigenfrequency, is the frequency that, without any applied load, the systems oscillate.
When the system is oscillating at its natural frequency is call the normal mode. But when an external force at the frequency at which the amplitude of its motion is greatest, this frequency is called resonant frequency.
To keep in mind, at a 1 Hz the system would vibrate less than at 10 Hz.
Vibrating systems are subject to damping when energy is dissipated. Damping is the loss of energy of an oscillating system by dissipation.
The angular natural frequency defined by:
If the system’s stiffness increases, it will affect in the natural frequency increasing it. On the contrary, if the system’s mass decreases, the natural frequency will decrease. Finally, if the system’s damping increases, the natural frequency will increase
