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)
“If one doubts whether Grecian valor and patriotism are not a fiction of the poets, he may go to Athens and see still upon the walls of the temple of Minerva the circular marks made by the shields taken from the enemy in the Persian war, which were suspended there. We have not far to seek for living and unquestionable evidence. The very dust takes shape and confirms some story which we had read.”
—Henry David Thoreau (1817–1862)
“If all would lead their lives in love like me,
Then bloody swords and armor should not be;
No drum nor trumpet peaceful sleeps should move,
Unless alarm came from the camp of love.”
—Thomas Campion (1567–1620)