Bi-Normal Coordinates in Discrete Systems with Application to an Aircraft Shimmy Problem.

Abstract

The use of bi-normal coordinate theory in the analysis of practical discrete systems provides the substantial benefits of conceptual value/physical insight, computational utility, and enhanced redesign capability. These benefits are explained and demonstrated in the present effort with attention to practical considerations. Section 1 extends the theory and presents the new material together with some previously available results in a coordinated manner. In particular, the nature of response in a single homogenous phasor mode is described in detail. Also, an expression for the derivative of an eigenvalue is developed and explained. Section 2 reports the analysis of an aircraft nosegear shimmy problem using bi-normal coordinate methods. Stability boundaries, mode shapes, and sensitivities to parameter changes are presented. Derivatives of eigenvalues are used in Section 3 to illustrate automated minimum weight design for a shimmy-free nosegear. Recommendations for further research are made. (Author)

Document Details

Document Type
Technical Report
Publication Date
Jun 01, 1972
Accession Number
AD0752548

Entities

People

  • Lynn C. Rogers

Organizations

  • Flight Dynamics Laboratory

Tags

Communities of Interest

  • Air Platforms

DTIC Thesaurus Topics

  • Aircrafts
  • Boundaries
  • Differential Equations
  • Eigenvalues
  • Equations
  • Materials
  • Mathematical Analysis
  • Sensitivity

Readers

  • Aerospace Engineering
  • Systems Analysis and Design
  • Wave Propagation and Nonlinear Chaotic Dynamics.