Damped oscillation is a phenomenon that can be found in many different places in the natural world. It occurs when a system is trying to reach equilibrium but is being constantly disturbed by some outside force. In this article, we will discuss 3 types of damping and explore the various applications of each type. We will also take a closer look at the damped harmonic oscillator, one of the most common examples of damped oscillation.
What Is Oscillation?
Oscillation refers to the back-and-forth movement of something. The term can apply to a wide variety of objects and phenomena, from a simple pendulum swing to the wave-like behaviour of sound waves. In physics, oscillation is often studied as a repeating motion that follows some kind of regular pattern. Examples of oscillation include a mass attached to a spring, electrons orbiting the nucleus of an atom, and heartbeats.
Check out the UPSC Notes
What Are The Various Types Of Oscillation?
Damped oscillation is a type of oscillation where energy is lost due to friction or air resistance. There are 3 types of damping: critical, underdamped, and overdamped. Critical damping occurs when the frictional force is just enough to stop the object from vibrating. The object will reach its equilibrium position the fastest with critical damping. Underdamped systems have less friction, so the object will continue to oscillate around the equilibrium position, but the amplitude of the oscillations will decrease over time. Overdamped systems have so much friction that the object will not oscillate; it will just move slowly to the equilibrium position. The three types of damping are not the only ways to classify damped oscillations. Another way to classify damped oscillations is by the type of force that is causing the damping.
Also see:Â UPSC Preparation Books
What Is Damped Harmonic Oscillation?
Damped harmonic oscillation is a type of motion where energy is lost at each cycle. The amplitude of the oscillations decreases over time and eventually, the motion will stop. This happens when the damping force is greater than the restoring force. There are 3 types of damping; overdamping, critical damping, and under damping.
Also see: UPSC Syllabus PDF Download
What Are The Various Types Of Damping?
There are 3 primary types of damping: overdamping, critical damping, and under damping. We will explore what each of these 3 types of damping entails. Overdamping occurs when the system loses more energy than it can replace, resulting in a decrease in amplitude over time. This type of damping is characterised by a slow return to equilibrium. Critical damping is when the system just barely returns to equilibrium and doesn’t oscillate at all. This type of damping is characterised by a fast return to equilibrium. Underdamping is when the system returns to equilibrium and then oscillates around it. This type of damping is characterised by an oscillation that gets smaller over time.
The most common type of damping is harmonic, which refers to any kind of periodic motion where the restoring force is proportional to the displacement. There are 3 primary types of harmonic damping: viscous, Coulomb, and aerodynamic. Viscous damping is when the damper is a fluid, like oil or water. This type of damping produces a frictional force that opposes the motion of the object. Coulomb damping is when the damper is solid, like metal or rubber. This type of damping produces a force that opposes the motion of the object, but it doesn’t change with velocity. Aerodynamic damping is when the damper is air resistant. This type of damping produces a force that opposes the motion of the object and increases with velocity. Damped oscillations are important to understand because they arise in many everyday situations. For example, when a pendulum swing is gradually slowed down by air resistance, this is an example of damped oscillation. Damped oscillations are also important in engineering and physics, as they can help us to understand and predict the behaviour of complex systems.
What Are Damped Oscillation Examples?
Damped oscillation is an example of forced vibration. Forced vibration occurs when a system is subjected to an external force, such as wind blowing on a flagpole or an earthquake shaking a building. The external force causes the system to vibrate at one or more of its natural frequencies. Damped oscillation is a special type of forced vibration because the system does not return to its original position after the external force is removed; instead, it slowly decays to a position of equilibrium.
Conclusion
Damped Oscillation is the result of the interference between a system’s inherent tendency to oscillate and some outside force that tends to reduce or destroy the oscillations. There are three types of damping: critical, overdamped, and underdamped. In a critically damped system, the oscillations die out quickly. In an overdamped system, the oscillations are so slow that they might as well not be oscillating at all. The most interesting case is the underdamped system, where the oscillations die out slowly.