APPLICATION OF THE GENERALIZED PHASE-PLANE-DELTA METHOD TO MULTI-DEGREE-OF-FREEDOM VIBRATING SYSTEMS

Abstract

The phase-plane-delta method of Jacobsen is extended to multi-degree-of-freedom systems governed by differential equations of second order. Applications to initial value problems of two-degree-of-freedom systems are presented as demonstrations of the practical utility of the method. Agreement with exact solutions for linear systems (free and forced oscillations)AND WITH APPROXIMATE SOLUTIONS FOR NONLINEAR SYSTEMS (free and forced oscillations) is excellent. A practical truncation error analysis is included as an appendix, which shows that the method is a second order process. (Author)

Document Details

Document Type
Technical Report
Publication Date
Jun 01, 1961
Accession Number
AD0261740

Entities

People

  • H. Norman Abramson
  • Wen-hwa Chu

Organizations

  • Southwest Research Institute

Tags

Communities of Interest

  • Air Platforms

DTIC Thesaurus Topics

  • Agreements
  • Demonstrations
  • Differential Equations
  • Equations
  • Error Analysis
  • Errors
  • Linear Systems
  • Mathematics
  • Nonlinear Systems
  • Oscillation
  • Truncation

Readers

  • Mathematical Modeling and Probability Theory.
  • Statistical inference.
  • Structural Dynamics.