An eigenfrequency, also known as a natural frequency, is the frequency at which a system or object naturally oscillates without any external forces acting upon it.
Eigenfrequency is a characteristic of a system or object, while resonant frequency is the frequency at which a system or object responds most strongly to external forces. Eigenfrequency is determined by the properties and geometry of the system, while resonant frequency can be influenced by external factors.
The eigenfrequency of a system is affected by factors such as the stiffness, mass, and geometry of the system. Specifically, the eigenfrequency increases with increasing stiffness and decreasing mass.
Eigenfrequency is an important consideration in engineering and science, as it helps determine the natural response of a system to external forces. It is used in various fields such as acoustics, mechanics, and structural engineering to analyze and design systems for optimal performance and stability.
Some real-world examples of eigenfrequency include the natural oscillation of a pendulum, the vibrations of a guitar string, and the resonance of a wine glass when a certain frequency is played. Eigenfrequency can also be observed in buildings during earthquakes, where the structure's eigenfrequency can amplify the vibrations caused by the seismic waves.