What is driven oscillation?

Forced oscillations occur when an oscillating system is driven by a periodic force that is external to the oscillating system. In such a case, the oscillator is compelled to move at the frequency νD = ωD/2π of the driving force.

What is meant by driven damped harmonic motion?

In fact, the only way of maintaining the amplitude of a damped oscillator is to continuously feed energy into the system in such a manner as to offset the frictional losses. A steady (i.e., constant amplitude) oscillation of this type is called driven damped harmonic oscillation.

When an oscillator is driven in resonance?

A periodic force driving a harmonic oscillator at its natural frequency produces resonance. The system is said to resonate. The less damping a system has, the higher the amplitude of the forced oscillations near resonance. The more damping a system has, the broader response it has to varying driving frequencies.

What is meant by steady state motion of a driven oscillator?

Any strictly periodic motion of linear or non-linear oscillators is a steady oscillation. Periodically forced and damped harmonic oscillators reach a steady state of oscillations after the initial transient has decayed enough to be negligible.

What is driven harmonic oscillator how does it differ from simple and damped harmonic oscillator?

Answer: While in a simple undriven harmonic oscillator the only force acting on the mass is the restoring force, in a damped harmonic oscillator there is in addition a frictional force which is always in a direction to oppose the motion.

What is the phase difference between driving force and velocity of forced oscillator?

EXPLANATION: Forced oscillation is directly driven by the external force. So the displacement and force are in the same phase. Therefore, the phase difference between displacement and driven force of forced oscillator in critical driving frequency condition is 0°.

What is meant by transient and steady state behavior of a forced oscillator?

For an oscillator (damped and also driven), the solution to the motion equation has two parts, a transient part (dependent of the initial condition – position and velocity – of the particular problem) and a steady-state part (which is dependent of the driving force).

What is transient state and steady state oscillation?

Therefore, in terms of a definition, a transient state is when a process variable or variables changes, but before the system reaches a steady state. Also, transient time is the time it takes for a circuit to change from one steady state to the next.

What are differences between damped harmonic motion and forced harmonic motion?

Damped oscillation refers to oscillation that degrades over a specific period of time while forced oscillation refers to oscillation that takes place due to the effect of an external periodic force.