Natural Frequency
Get Natural Frequency essential facts below. View Videos or join the Natural Frequency discussion. Add Natural Frequency to your Like2do.com topic list for future reference or share this resource on social media.
Natural Frequency

Natural frequency is the frequency at which a system tends to oscillate in the absence of any driving or damping force.[1]

Overview

Free vibrations of an elastic body are called natural vibrations and occur at a frequency called the natural frequency. Natural vibrations are different from forced vibrations which happen at frequency of applied force (forced frequency). If forced frequency is equal to the natural frequency, the amplitude of vibration increases manifold. This phenomenon is known as resonance.[2]

In electrical circuits, s1 is a natural frequency of variable x if the zero-input response of x includes the term , where is a constant dependent on initial state of the circuit, network topology, and element values.[3] In a network, sk is a natural frequency of the network if it is a natural frequency of some voltage or current in the network.[4] Natural frequencies depend only on network topology and element values but not the input.[5] 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.[6] 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.[7]

In LC and RLC circuits, natural frequency of circuit can be calculated as:[8]

See also

Footnotes

  1. ^ College 2012, p. 569.
  2. ^ Bhatt, p. 122.
  3. ^ Desoer 1969, pp. 583-584.
  4. ^ Desoer 1969, p. 600.
  5. ^ Desoer 1969, p. 633.
  6. ^ Desoer 1969, p. 635.
  7. ^ Desoer 1969, p. 643.
  8. ^ Basic Physics 2009, p. 366.

References



  This article uses material from the Wikipedia page available here. It is released under the Creative Commons Attribution-Share-Alike License 3.0.

Natural_frequency
 



 

Top US Cities

Like2do.com was developed using defaultLogic.com's knowledge management platform. It allows users to manage learning and research. Visit defaultLogic's other partner sites below:
PopFlock.com : Music Genres | Musicians | Musical Instruments | Music Industry