THE DYNAMICS OF AN ELASTIC LINKAGE

Abstract

As the operational speed and accuracy of machinery increases, the method of rigid body linkage analysis fails to adequately predict the dynamic behavior of the members. As a result the exact position of a member at any given time cannot be determined. An analytical study of the transverse vibrational characteristics of the elastic connecting rod in an in-line slider-crank mechanism is reported. A non-linear fourth order partial differential equation for the transverse vibration of the connecting rod has been derived. This equation was reduced to a linear form involving coefficients which were functions of the position coordinate on the connecting rod and time. This linear equation was solved by a finite difference scheme on an IBM 7090 digital computer.

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Document Details

Document Type
Technical Report
Publication Date
Jun 01, 1963
Accession Number
AD0407932

Entities

People

  • Albert H. Neubauer Jr.

Organizations

  • Purdue University

Tags

Communities of Interest

  • Ground and Sea Platforms

DTIC Thesaurus Topics

  • Air Force
  • Difference Equations
  • Differential Equations
  • Digital Computers
  • Elastic Properties
  • Energy
  • Equations
  • Equations Of Motion
  • Inertia
  • Kinetic Energy
  • Mass
  • Modulus Of Elasticity
  • Moment Of Inertia
  • Partial Differential Equations
  • Physical Properties
  • Potential Energy
  • Resonant Frequency

Readers

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