Definition:Resonance

Definition

Let $S$ be an oscillating system undergoing forced oscillation with frequency $\omega$.

Let $\omega$ be such that $S$ responds with maximum amplitude.

Then $S$ is said to be in resonance.

Also see

• Condition for Resonance in Forced Vibration of Underdamped System

• Results about resonance can be found here.

Sources

• 1972: George F. Simmons: Differential Equations ... (previous) ... (next): $\S 3.20$: Vibrations in Mechanical Systems
• 1998: David Nelson: The Penguin Dictionary of Mathematics (2nd ed.) ... (previous) ... (next): resonance
• 2008: David Nelson: The Penguin Dictionary of Mathematics (4th ed.) ... (previous) ... (next): resonance