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Natural frequency

Natural frequency is the frequency at which a system tends to oscillate in the absence of any driving or damping force.

Free vibrations of any elastic body are called natural vibrations and occur at a frequency called the natural frequency. Natural vibrations are different from forced vibration which happen at frequency of applied force (forced frequency). If forced frequency is equal to the natural frequency, the amplitude of vibration increases manyfold. This phenomenon is known as resonance.

In electrical circuits, s is a natural frequency of variable x, if the zero-input response of x includes the term Ke where K ≠ 0 is a constant dependent on initial state of the circuit, network topology, and element values. In a network, s is a natural frequency of the network if it is a natural frequency of some voltage or current in the network. Natural frequencies depend only on network topology and element values but not the input. It can be shown that the set of natural frequencies in a network can be obtained by calculating the poles of all impedance and admittance functions of the network. All poles of the network transfer function are also natural frequencies of the corresponding response variable, however there may exist some natural frequencies that are not a pole of the network function, these frequencies happen at some special initial states.

In LC and RLC circuits, natural frequency of circuit can be calculated as:

$$\omega _0 =\frac{1}{\sqrt{LC}}$$

Usage examples of "natural frequency".

They just cannot register the further ends of the spectrum of light - where it is composed of such forms as infrared (heat), ultraviolet, gamma rays, and X rays - any more than our ears can register extremes of sound, such as ultrasonic, which are well beyond our natural frequency range.

Some transmitting stations, especially amateurs, use a specially cut quartz crystal that has a natural frequency of its own to control wave length.

When an outside force with the same frequency as the natural frequency of the object causes the object to vibrate, it's called resonance, or sympathetic vibration.

They've proved that the original Ledbetter effect depends on a characteristic of the life form involved-you might call it a natural frequency.

They've proved that the original Ledbetter effect depends on a characteristic of the life form involved -- you might call it a natural frequency.

However, the Frank-Reed source would be absolutely transparent to its natural frequency.

This man knew her natural frequency and was making her resonate to perfect pitch.

And as fine crystal, if vibrated continuously at its natural frequency, would shatter, she hovered mere caresses away from a similar explosion.

Even the highest harmonics of the tape's natural frequency were far below the range of human hearing.

At Max's instruction, Bollux adjusted the marching tempo, matching the forced vibration of the robots' tread to the bridge's own natural frequency, creating a powerful resonance.

At Max's instruction, Bollux adjusted the march-ing tempo, matching the forced vibration of the robots' tread to the bridge's own natural frequency, creating a powerful resonance.

If you build a corresponding circuit on a small scale, its natural frequency goes up, since the wave length goes down as the scale.

I believe that the function of Soudha's device is to emit a five-space energy pulse precisely tuned to the natural frequency of a wormhole.

They were almost back before Zoda explained that the trick of using a carrying pole was to adjust your step to the natural frequency of the weight and the pole.