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

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.

Document Details

Document Type
Technical Report
Publication Date
Jul 01, 1964
Accession Number
AD0622480

Entities

People

  • C. S. Colonna

Organizations

  • Johns Hopkins University Applied Physics Laboratory

Tags

DTIC Thesaurus Topics

  • Accuracy
  • Boundaries
  • Coefficients
  • Differential Equations
  • Doppler Effect
  • Equations
  • Frequency
  • Frequency Shift
  • Mathematics
  • Precision
  • Standards
  • Vibration

Fields of Study

  • Physics

Readers

  • Plasma Physics / Magnetohydrodynamics
  • Regression Analysis.
  • Spectroscopy.