BOUNDS FOR THE PRINCIPAL FREQUENCY OF NONUNIFORMLY LOADED STRINGS AND APPENDIX. A RESULT ON REARRANGEMENTS

Abstract

Let n particles of different masses be mounted at equally spaced points along a string which in itself is weightless and of unit tension. The string is fixed at its endpoints. Given the set of masses, the principal frequency of this loaded string becomes minimal if the masses are arranged decreasing from the center in as nearlyA SYMMETRICAL ORDER AS POSSIBLE. The case corresponding to the loaded string free at one end and fixed at the other is also considered. (Author)

Document Details

Document Type
Technical Report
Publication Date
Oct 01, 1962
Accession Number
AD0292914

Entities

People

  • Alfred Lehman
  • Binyamin Schwarz

Organizations

  • University of Wisconsin–Madison

Tags

DTIC Thesaurus Topics

  • Frequency

Fields of Study

  • Mathematics

Readers

  • Approximation Theory.
  • Computer Programming and Software Development.
  • Marine Hydrodynamics

Technology Areas

  • Space