Oscillations II

Richard K. Cooper and Claudio Pellegrini
Additional contact information
Richard K. Cooper: Formerly of Los Alamos National Laboratory
Claudio Pellegrini: University of California at Los Angeles

Chapter Chapter 6 in Modern Analytic Mechanics, 1999, pp 121-146 from Springer

Abstract: 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 (search for similar items in EconPapers)
Date: 1999
References: Add references at CitEc
Citations:

There are no downloads for this item, see the EconPapers FAQ for hints about obtaining it.

Related works:
This item may be available elsewhere in EconPapers: Search for items with the same title.

Export reference: BibTeX RIS (EndNote, ProCite, RefMan) HTML/Text

Persistent link: https://EconPapers.repec.org/RePEc:spr:sprchp:978-1-4757-5867-2_6

Ordering information: This item can be ordered from
http://www.springer.com/9781475758672

DOI: 10.1007/978-1-4757-5867-2_6

Access Statistics for this chapter

More chapters in Springer Books from Springer
Bibliographic data for series maintained by Sonal Shukla () and Springer Nature Abstracting and Indexing ().