The ordinary differential equation used to describe a second-order measurement system introduces two new variables that describe the behaviour of the system: Natural Frequency (ω) Damping Ratio (or Coefficient)...
Natural Frequency (ω) The frequency at which a system tends to oscillate in the absence of damping when caused to move or supplied with energyIt is described in hertz...
The tendency of a system to oscillate with increased amplitude that occurs when a sinusoidal input or force is applied, that is equal or close to the natural frequency of the system on which it acts Every material has a frequency at which it freely oscillates, known...
Resonance occurs when the frequency of an applied force to an oscillating system (driving frequency) is equal to its natural frequency The mathematics to describe this are complex but can be best appreciated by considering a child being pushed on a swing: The child...
To avoid resonance, the natural frequency of a system must differ from the input frequency When considering the input frequency it is essential to understand that any non-sinusoidal wave can be deconstructed into a series of harmonics through Fourier’s analysis:...
