Normal Modes of a Beaded String

​
beads
8
modes
7
This Demonstration shows the transverse normal modes of oscillation for a string with equally spaced beads. It is assumed that the string consists of a series of massless idealized rectilinear segments that obey Hooke's law with fixed ends. If the string has
n
beads, then it has
n
modes of vibration. The number of times that the string passes through the equilibrium axis in the
th
m
mode is equal to
m-1
, with maximum value
n-1
. When the number of beads is large, the system approaches the behavior of a continuous string.

External Links

Normal Mode (ScienceWorld)

Permanent Citation

Enrique Zeleny
​
​"Normal Modes of a Beaded String"​
​http://demonstrations.wolfram.com/NormalModesOfABeadedString/​
​Wolfram Demonstrations Project​
​Published: March 7, 2011