Question

what is natural frequency of vibration ??​

Answer 1

Answer:

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.

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.

In a mass-spring system, with mass m and spring stiffness k, the natural frequency can be calculated as:

{\displaystyle \omega _{0}={\sqrt {\frac {k}{m}}}} {\displaystyle \omega _{0}={\sqrt {\frac {k}{m}}}}

In electrical circuits, s1 is a natural frequency of variable x if the zero-input response of x includes the term {\displaystyle K_{1}e^{-s_{1}t}} K_{1}e^{{-s_{1}t}}, where {\displaystyle K_{1}\neq 0} K_{1}\neq 0 is a constant dependent on initial state of the circuit, network topology, and element values