Nonlinear Analysis of Mechanical Systems Under Combined Harmonic and Stochastic Excitation

Abstract

In the AFOSR grant, the complex interaction between noise, stability and nonlinear dynamics inherent in mechanical systems was examined and a consistent method for analyzing stochastic nonlinear systems was developed. The specific objective of the current work, is to examine, both theoretically and experimentally, the nonlinear response of gyroscopic systems under stochastic and harmonic excitation. This study will include the following: examination of the combined effects of mass imbalance, asymmetry and realistic boundary conditions on the nonlinear response of rotating systems; development of a general nonlinear control technique designed to suppress unwanted vibrations and chaotic motions in gyroscopic systems; experimental verification of the theories developed.

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Document Details

Document Type
Technical Report
Publication Date
May 27, 1993
Accession Number
ADA266217

Entities

People

  • N. Sri Namachchivaya

Organizations

  • University of Illinois Urbana–Champaign

Tags

Communities of Interest

  • Air Platforms
  • Autonomy
  • C4I
  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Air Force
  • Applied Mathematics
  • Computational Fluid Dynamics
  • Computational Science
  • Control Systems
  • Differential Equations
  • Engineering
  • Linear Systems
  • Mathematics
  • Mechanics
  • Nonlinear Analysis
  • Nonlinear Dynamics
  • Nonlinear Systems
  • Probability Density Functions
  • Turbines
  • Two Dimensional
  • Vibration

Fields of Study

  • Physics

Readers

  • Computational Fluid Dynamics (CFD)
  • Control Systems Engineering.