Vibrations Of A Circular Drum
The vibrations of an idealized circular drum head—essentially an elastic membrane of uniform thickness attached to a rigid circular frame—are solutions of the wave equation with zero boundary conditions.
There exist infinitely many ways in which a drum head can vibrate, depending on the shape of the drum head at some initial time and the rate of change of the shape of the drum head at the initial time. Using separation of variables, it is possible to find a collection of "simple" vibration modes, and it can be proved that any arbitrarily complex vibration of a drum head can be decomposed as a series of the simpler vibrations (analogous to the Fourier series).
Read more about Vibrations Of A Circular Drum: Motivation, The Problem, The Radially Symmetric Case, The General Case, Animations of Several Vibration Modes, See Also
Famous quotes containing the words vibrations of, vibrations, circular and/or drum:
“Out of me unworthy and unknown
The vibrations of deathless music;”
—Edgar Lee Masters (1869–1950)
“The world is never quiet, even its silence eternally resounds with the same notes, in vibrations which escape our ears. As for those that we perceive, they carry sounds to us, occasionally a chord, never a melody.”
—Albert Camus (1913–1960)
“The night in prison was novel and interesting enough.... I found that even here there was a history and a gossip which never circulated beyond the walls of the jail. Probably this is the only house in the town where verses are composed, which are afterward printed in a circular form, but not published. I was shown quite a long list of verses which were composed by some young men who had been detected in an attempt to escape, who avenged themselves by singing them.”
—Henry David Thoreau (1817–1862)
“It shall be said that gods are stone.
Shall a dropped stone drum on the ground,
Flung gravel chime? Let the stones speak
With tongues that talk all tongues.”
—Dylan Thomas (1914–1953)