FORCED MOTIONS OF ELASTIC RODS

Abstract

A formal solution is presented of the equations of motion, the stress-strain relationships, and the boundary conditions in Mindlin and Herrmann's 1-dimensional theory of vibrations of rods incorporating the effects of radial inertia and shear deformation (Proc. US Nat. Cong. Appl. Mech., Chicago, 1951). Lagrange's equations of motion are used to develop solutions for a rod of finite length and any admissible combination of time-dependent boundary displacements and arbitrary initial conditions.

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Document Details

Document Type
Technical Report
Publication Date
Feb 01, 1953
Accession Number
AD0003748

Entities

People

  • G. Herrmann

Organizations

  • Columbia University

Tags

Communities of Interest

  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Air Force
  • Applied Mechanics
  • Blood Coagulation Factors
  • Boundaries
  • Civil Engineering
  • Differential Equations
  • Energy
  • Engineering
  • Equations
  • Equations Of Motion
  • Illinois
  • Kinetic Energy
  • Mechanics
  • Military Research
  • New York
  • Ordnance Laboratories
  • Universities

Fields of Study

  • Mathematics

Readers

  • Calculus or Mathematical Analysis
  • Snow Cover Descriptors for Reptiles and Their Illustrations.
  • Structural Dynamics.