BOUNDS ON MOTIONS OF SOME LUMPED AND CONTINUOUS DYNAMIC SYSTEMS,

Abstract

Lumped and continuous systems subjected to general dynamic loads or perturbations are considered. The motions of these systems are assumed to be described by ordinary or partial differential equations with time-varying forcing terms. Upper bounds on the motions are derived with a Liapunov type of approach. The results are applied to some structural dynamics problems: displacement bounds are determined for elastic columns, plates, and arches, and sufficient conditions for stability of arches against 'snap-through' are obtained. (Author)

Document Details

Document Type
Technical Report
Publication Date
Jan 01, 1970
Accession Number
AD0710787

Entities

People

  • Ettore Ferrari Infante
  • R. H. Plaut

Organizations

  • Brown University

Tags

DTIC Thesaurus Topics

  • Differential Equations
  • Displacement
  • Dynamic Loads
  • Dynamics
  • Equations
  • Mathematical Analysis
  • Mathematics
  • Partial Differential Equations
  • Perturbations

Fields of Study

  • Mathematics

Readers

  • Control Systems Engineering.
  • Structural Dynamics.