What is the Difference Between Damped and Undamped Vibration?

The main difference between damped and undamped vibration lies in the amplitude of the oscillations over time. Here are the key differences between the two types of vibrations:

• Damped Vibration: In damped vibrations, the amplitude of the oscillations decreases over time due to the dissipation of energy through friction or other resistive forces. The energy of the vibrating object decreases, and the oscillations fade away with time. An example of a damped vibration is a car's suspension system, which absorbs energy from the vehicle's motion, reducing the amplitude of vibrations.
• Undamped Vibration: In undamped vibrations, the amplitude of the oscillations remains constant over time, as there are no resistive forces acting against the motion of the vibrating object. The total energy of the oscillating object does not change, and the object continues to oscillate sinusoidally. Examples of undamped vibrations include alternating current or voltage waves and a swinging pendulum in a vacuum.

In summary, damped vibrations are characterized by a decrease in amplitude over time due to energy dissipation, while undamped vibrations maintain a constant amplitude because there are no resistive forces acting against the motion of the vibrating object.

Comparative Table: Damped vs Undamped Vibration

The main difference between damped and undamped vibration is the rate at which the amplitude of the waves generated changes over time. Here is a table comparing the two types of vibrations:

In summary, damped vibrations are characterized by a decreasing amplitude over time due to energy losses caused by friction and other resistances, while undamped vibrations maintain a constant amplitude throughout time.