Oscillations II

  • Richard K. Cooper
  • Claudio Pellegrini

Abstract

We consider now a system consisting of an elastic string to which N particles, each of mass m, have been attached. We assume the particles to be equally spaced along the string, with a separation d,so that the total length of the string is L = (N + 1)d. The loaded string is a good example of a system with many degrees of freedom. In fact we will show that we can explicitly find the eigenvalues and eigenvectors of this system for an arbitrary number N of particles. The loaded string is also a good introduction to the case of the vibration of a continuous string and one-dimensional waves in a mechanical system, which we will study in the next chapter.

Keywords

Anharmonic Oscillator Stable Fixed Point Paraxial Approximation Angle Figure Unstable Equilibrium Point 
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.

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Copyright information

© Springer Science+Business Media New York 1999

Authors and Affiliations

  • Richard K. Cooper
    • 1
  • Claudio Pellegrini
    • 2
  1. 1.Formerly of Los Alamos National LaboratoryLos AlamosUSA
  2. 2.University of California at Los AngelesLos AngelesUSA

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