# Natural frequency

**natural frequencieseigen-frequencyeigenfrequencyfrequency**

Natural frequency, also known as eigenfrequency, is the frequency at which a system tends to oscillate in the absence of any driving or damping force.wikipedia

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### Normal mode

**modesnormal modesmode**

The motion pattern of a system oscillating at its natural frequency is called the normal mode (if all parts of the system move sinusoidally with that same frequency).

These fixed frequencies of the normal modes of a system are known as its natural frequencies or resonant frequencies.

### Resonance

**resonantresonant frequencyresonance frequency**

If the oscillating system is driven by an external force at the frequency at which the amplitude of its motion is greatest (close to a natural frequency of the system), this frequency is called resonant frequency.

In physics, resonance describes the phenomena of amplification that occurs when the frequency of a periodically applied force is in harmonic proportion to a natural frequency of the system on which it acts.

### Damping ratio

**dampingdampedoverdamped**

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

Using the natural frequency of a harmonic oscillator and the definition of the damping ratio above, we can rewrite this as:

### LC circuit

**tuned circuitLCresonant circuit**

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

The natural frequency (that is, the frequency at which it will oscillate when isolated from any other system, as described above) is determined by the capacitance and inductance values.

### Fundamental frequency

**fundamentalfundamental tonefundamental frequencies**

* Fundamental frequency

### Frequency

**frequenciesperiodperiodic**

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

### Oscillation

**oscillatorvibrationoscillators**

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

### Elasticity (physics)

**elasticityelasticelasticity theory**

Free vibrations of an elastic body are called natural vibrations and occur at a frequency called the natural frequency.

### Network topology

**topologypoint-to-pointnetwork topologies**

In electrical circuits, s 1 is a natural frequency of variable x if the zero-input response of x includes the term, where K_1 \neq 0 is a constant dependent on initial state of the circuit, network topology, and element values.

### Electrical network

**circuitelectrical circuitelectric circuit**

In electrical circuits, s 1 is a natural frequency of variable x if the zero-input response of x includes the term, where K_1 \neq 0 is a constant dependent on initial state of the circuit, network topology, and element values. In a network, s k is a natural frequency of the network if it is a natural frequency of some voltage or current in the network.

### Voltage

**potential differenceVvoltages**

In a network, s k is a natural frequency of the network if it is a natural frequency of some voltage or current in the network.

### Electric current

**currentelectrical currentcurrents**

In a network, s k is a natural frequency of the network if it is a natural frequency of some voltage or current in the network.

### Transfer function

**transfertransfer characteristicchannel transfer function**

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.

### RLC circuit

**LRC circuitRLCRLC circuits**

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

### Orbital resonance

**1:1 resonanceresonancemean-motion resonance**

The physical principle behind orbital resonance is similar in concept to pushing a child on a swing, where the orbit and the swing both have a natural frequency, and the other body doing the "pushing" will act in periodic repetition to have a cumulative effect on the motion.

### Operational Modal Analysis

The modal properties of a structure include primarily the natural frequencies, damping ratios and mode shapes.

### Response spectrum

**frequenciesresponse spectra**

A response spectrum is a plot of the peak or steady-state response (displacement, velocity or acceleration) of a series of oscillators of varying natural frequency, that are forced into motion by the same base vibration or shock.

### WREL (technology)

**WREL technology**

At the receiving resonator's natural frequency, energy is absorbed efficiently, just as a glass absorbs acoustic energy at its natural frequency.

### Rabi problem

**Rabi energyRabi oscillationsRabi splitting**

The Rabi problem concerns the response of an atom to an applied harmonic electric field, with an applied frequency very close to the atom's natural frequency.

### Critical speed

**critical rotation rate**

In solid mechanics, in the field of rotordynamics, the critical speed is the theoretical angular velocity that excites the natural frequency of a rotating object, such as a shaft, propeller, leadscrew, or gear.

### Bayesian Operational Modal Analysis

Operational Modal Analysis (OMA) aims at identifying the modal properties (natural frequencies, damping ratios, mode shapes, etc.) of a constructed structure using only its (output) vibration response (e.g., velocity, acceleration) measured under operating conditions.

### Phonon

**phononslattice vibrationoptical phonon**

Here, ω is the natural frequency of the harmonic potentials, which are assumed to be the same since the lattice is regular.

### Nonlinear resonance

**foldover effectnon-linear resonanceNonlinear Resonances**

From the physical point of view, they are defined by whether or not external force coincides with the eigen-frequency of the system (linear and nonlinear resonance correspondingly).

### Kuramoto model

In the most popular version of the Kuramoto model, each of the oscillators is considered to have its own intrinsic natural frequency \omega_i, and each is coupled equally to all other oscillators.

### Ping test (engineering)

A ping test is a physical test to determine the natural frequency of an object or assembly.