Accession Number : AD0292914

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

Corporate Author : WISCONSIN UNIV MADISON MATHEMATICS RESEARCH CENTER

Personal Author(s) : SCHWARZ,BINYAMIN ; LEHMAN,ALFRED

Report Date : OCT 1962

Pagination or Media Count : 1

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)

Descriptors :   *DIFFERENTIAL EQUATIONS, *NUMBER THEORY, FREQUENCY, MATHEMATICS, MATRICES(MATHEMATICS), MEASUREMENT, OSCILLATION, RESONANCE

Distribution Statement : APPROVED FOR PUBLIC RELEASE