Parametric and Nonlinear Mode Interaction Behaviour in the Dynamics of Structures.

Abstract

This report describes the behaviour of structures under internal resonance conditions. Completion of the analysis on the three mode interaction case yields the variational equations describing the slowly varying amplitudes and phases of each mode. Computer simulation (C.S.M.P.) of these equations has been carried out. Both parametric and nonlinear terms are found to be of importance in the response of the structure. Further experimental work on the original four mode model, where parametric excitation of two of the modes leads to eventual participation of all the modes, is presented along with a theoretical approach of a more general nature. Attention is then turned to a less complex two-mode system exhibiting both parametric and nonlinear behaviour.

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Document Details

Document Type
Technical Report
Publication Date
Jan 01, 1976
Accession Number
ADA031323

Entities

People

  • A. D. S. Barr
  • R. P. Ashworth

Organizations

  • University of Dundee

Tags

Communities of Interest

  • Air Platforms
  • C4I
  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Amplitude
  • Computational Science
  • Computer Simulations
  • Differential Equations
  • Engineering
  • Equations
  • Equations Of Motion
  • Excitation
  • Frequency
  • Mathematical Models
  • Mechanical Engineering
  • Nonlinear Differential Equations
  • Resonance
  • Resonant Frequency
  • Simulations
  • Steady State
  • Variational Equations

Fields of Study

  • Physics

Readers

  • Control Systems Engineering.
  • Quantum Dot Semiconductor Device Photonics and Graphene Optoelectronic Materials and THz Physics.