ENGINEERING METHOD OF CALCULATION OF ELASTIC SYSTEMS FOR FREE VIBRATIONS,

Abstract

CONTENTS: Free vibrations of systems with a finite number of degrees of freedom; Free vibrations of systems with an infinitely large number of degrees of freedom; Approximate methods of determining frequencies of free vibrations of material systems; Certain concepts from the calculus of variations; Application of Galerkin method to problems of free vibrations of material systems; Construction of the family of approximating (minimizing) functions during solution of problems of free vibrations of material systems; Determining the fundamental frequency of vibration of material bars; Determining higher frequencies of free vibrations of material bars; Determining frequencies of free vibrations of material systems by an expanded conjugate beam method; Determining frequencies of free vibrations of bar trusses; Influence of shearing strain and inertia of rotation of section on magnitude of frequency of free vibrations; and Determining modes of free vibrations of material bar in the general case.

Document Details

Document Type
Technical Report
Publication Date
Jan 18, 1966
Accession Number
AD0631654

Entities

People

  • E. A. Sekhniashvili

Organizations

  • National Air and Space Intelligence Center

Tags

DTIC Thesaurus Topics

  • Calculus
  • Calculus Of Variations
  • Construction
  • Engineering
  • Frequency
  • Frequency Shift
  • Galerkin Method
  • Materials
  • Mathematics
  • Motion
  • Rotation
  • Vibration

Fields of Study

  • Engineering

Readers

  • Control Systems Engineering.
  • Finite Element Method (FEM) for solving Partial Differential Equations (PDEs)
  • Pavement Materials Engineering.