Accession Number : AD0622480

Title :   HIGH PRECISION CALCULATIONS OF PARAMETERS FOR FREQUENCIES AND MODE SHAPES OF UNIFORM BEAMS,

Corporate Author : JOHNS HOPKINS UNIV SILVER SPRING MD APPLIED PHYSICS LAB

Personal Author(s) : Colonna,C. S.

Report Date : 01 JUL 1964

Pagination or Media Count : 28

Abstract : Expressions are summarized for the normal modes of vibration of ten uniform beams and numerical results given of double precision calculations for the frequencies, mode shape coefficients and related parameters in tabular form. General properties of the beam equation, boundary conditions, and modes of vibration are discussed. The ten beam problems are related to three standard problems. The transcendental equations determining the normal modes and frequencies are given for each type of beam. The method of calculating the frequencies to a high degree of accuracy is stated briefly. The numerical data is tabulated and the formulas discussed earlier are summarized.

Descriptors :   (*BEAMS(STRUCTURAL), VIBRATION), FREQUENCY, HARMONIC ANALYSIS, BOUNDARY VALUE PROBLEMS, TRANSCENDENTAL FUNCTIONS

Distribution Statement : APPROVED FOR PUBLIC RELEASE