The Effect of Nonlinearities on Flexible Structures

Abstract

The project is a theoretical and experimental investigation into the influence of nonlinearities on flexible structures in the presence of multifrequency parametric and external excitations having independent frequencies and phases and arbitrary amplitudes. The nonlinearities and excitations may appear in the governing equations, or the boundary conditions, or both. The study focused on resonance conditions that produce large and possibly damaging motions. Special attention was given to modal coupling and exchanges of energy. We classified the important resonances and their interactions and devised experiments illustrating the phenomena. Keywords: Dynamic response; Nonlinear effects; Flexible structures; Composites; Modal coupling; Resonances.

Open PDF

Document Details

Document Type
Technical Report
Publication Date
Feb 19, 1990
Accession Number
ADA222705

Entities

People

  • Ali. H. Nayfeh
  • Dean T. Mook

Organizations

  • Virginia Tech

Tags

Communities of Interest

  • Air Platforms
  • Ground and Sea Platforms

DTIC Thesaurus Topics

  • Analog Computers
  • Aspect Ratio
  • Composite Materials
  • Computational Science
  • Differential Equations
  • Dynamic Response
  • Eigenvalues
  • Engineering
  • Epoxy Composites
  • Equations
  • Frequency Response
  • Laminates
  • Materials
  • Mechanics
  • Modulation
  • Nonlinear Systems
  • Partial Differential Equations

Fields of Study

  • Engineering
  • Physics

Readers

  • Electromagnetic Wave Scattering and Antenna Radiation Engineering
  • Structural Dynamics.
  • Theoretical Analysis.