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Coupled oscillators
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Two linked oscillators share energy and have normal modes.
Two oscillators with a connecting spring exchange energy back and forth, producing beats. Their motion can be split into normal modes.
Two pendulums connected by a spring.
Energy exchange rate depends on the coupling.
In more detail
Coupled oscillators exchange energy through a connection, such as a spring between two masses. They have two or more normal modes, each with its own frequency.
Real-world uses
- Molecules vibrate in coupled modes, which determine their infrared spectra.
- Buildings with several floors have coupled vibration modes.
- Two pendulums linked by a spring exchange energy back and forth, which models the coupling of atoms in a solid.
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Frequently asked questions
What are normal modes?
Patterns of motion in which all parts oscillate at the same frequency.
Can energy move between oscillators?
Yes, energy transfers back and forth between coupled oscillators, producing beats.
Why do coupled oscillators swap energy?
The coupling transfers energy between them, so the energy moves back and forth between the two over time.
Related topics in Oscillations & SHM
Amplitude vs frequency curve · LC oscillations · Analogy between mechanical and electrical oscillators · Normal modes · Beats in oscillators · Superposition of SHMs