NORMAL MODE VIBRATIONS OF SYSTEMS OF ELASTICALLY CONNECTED PARALLEL BEAMS

Abstract

The development and solution are presented of the differential equations of motion of a system of n-elastically connected parallel beams. Using the results developed for the general n-beam system, the particular case of a two beam system was analyzed in detail. The frequencies and associated mode shapes for various support conditions are presented explicitly. Vibration experiments were performed in order to ascertain the degree of applicability of the theory. It was found that at least up to the eighth mode, reasonably good agreement obtains.

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Document Details

Document Type
Technical Report
Publication Date
Jul 01, 1963
Accession Number
AD0413000

Entities

People

  • J. M. Seelig
  • W. H. Hoppmann

Organizations

  • Rensselaer Polytechnic Institute

Tags

DTIC Thesaurus Topics

  • Amplitude
  • Boundaries
  • Differential Equations
  • Equations
  • Equations Of Motion
  • Frequency
  • Frequency Response
  • Government Procurement
  • Mechanical Properties
  • Mechanics
  • Modulus Of Elasticity
  • New York
  • Resonant Frequency
  • Simultaneous Equations
  • Sine Waves
  • Standards
  • Vibration

Fields of Study

  • Physics

Readers

  • Structural Dynamics.