What is underdamped oscillation?

Underdamped (ζ < 1): This is when a system oscillates at a frequency marginally different than the undamped case, and the amplitude decreases to zero gradually. Another parameter to consider in oscillatory systems is the Q factor (quality factor).

What is the difference between underdamped and overdamped response?

An underdamped response is one that oscillates within a decaying envelope. An overdamped response is the response that does not oscillate about the steady-state value but takes longer to reach steady-state than the critically damped case.

What are the three types of oscillations?


  • Simple Harmonic Motion.
  • Damped Simple Harmonic Motion.
  • Forced Simple Harmonic Motion.
  • Force Law for Simple Harmonic Motion.
  • Velocity and Acceleration in Simple Harmonic Motion.
  • Some Systems executing Simple Harmonic Motion.
  • Energy in Simple Harmonic Motion.
  • Periodic and Oscillatory Motion.

What are the two types of oscillations?

There are 3 main types of Oscillation – Free, damped, and forced oscillation. When a body vibrates with its own frequency, it is called a free oscillation. The free oscillation has a constant amplitude and period without any external force to set the oscillation. An example would be the vibrations in a tuning fork.

What is Overdamped in control system?

This case is called overdamped. Commonly, the mass tends to overshoot its starting position, and then return, overshooting again. With each overshoot, some energy in the system is dissipated, and the oscillations die towards zero.

What is Underdamped circuit?

A circuit with a value of resistor that causes it to be just on the edge of ringing is called critically damped. Either side of critically damped are described as underdamped (ringing happens) and overdamped (ringing is suppressed).

How can you distinguish if an RLC circuit is overdamped or underdamped?

  1. (i) when which means there are two real roots and relates to the case when the circuit is said to be over-damped.
  2. (ii) when which means there are two complex roots (as root( -1) is imaginary) and relates to the case when the circuit is said to be under-damped.

What is an oscillation Class 7?

Periodic Motion or Oscillatory Motion: When an object repeats its motion after every fixed interval of time, the motion of the object is called PERIODIC MOTION OR OSCILLATORY MOTION. The motion of pendulum starting from one extreme end to another extreme end and back to the first extreme end is called one oscillation.

What are the different types of oscillations and define it?

The amplitude, frequency and energy of oscillations remain constant. The oscillator which keeps on oscillating with constant amplitude for infinite time is known as free oscillation. B. Damped oscillations: The oscillation of a body whose amplitude goes on decreasing with time are defined as damped oscillations.

What is meant by Underdamped?

The gradual reduction of excessive oscillation, vibration, or signal intensity, and therefore of instability in a mechanical or electrical device, by a substance or some aspect of the device.

What is absolute stability in control system?

If the system is stable for all the range of system component values, then it is known as the absolutely stable system. The open loop control system is absolutely stable if all the poles of the open loop transfer function present in left half of ‘s’ plane.

What is overdamped and underdamped?

An overdamped system moves slowly toward equilibrium. An underdamped system moves quickly to equilibrium, but will oscillate about the equilibrium point as it does so. A critically damped system moves as quickly as possible toward equilibrium without oscillating about the equilibrium.