Response and Stability Analysis of Helicopter Rotor Blades Using Computerized Symbolic Manipulation

Abstract

The importance of nonlinearities, and of certain approximations, in the analysis of beams and rotor blades has been addressed in detail. For this, special care was taken in formulating the differential equations of motion of rotor blades in order to be able to identify sources of problematic approximations. In addition, the response of a rotor blade was analyzed by a methodology using an essentially exact solution for the equilibrium state of the blade and by subsequently determining the essentially exact eigenfunctions and eigenvalues associated with the perturbed motion of the blade. The results obtained could serve as a gauge for validating approximate results such as those obtained by a Galerkin procedure. A perturbation methodology was also used to analyze the response of a blade that is either in hover or in forward flight.

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Document Details

Document Type
Technical Report
Publication Date
May 01, 1991
Accession Number
ADA238660

Entities

People

  • Marcelo R. Crespo Da Silva

Organizations

  • Rensselaer Polytechnic Institute

Tags

DTIC Thesaurus Topics

  • Aircraft Industry
  • Airframes
  • Boundary Value Problems
  • Computations
  • Computers
  • Differential Equations
  • Dynamic Response
  • Eigenvalues
  • Engineering
  • Equations
  • Equations Of Motion
  • Geometry
  • Helicopter Rotors
  • Helicopters
  • Nonlinear Differential Equations
  • Physics
  • Rotary Wing Aircraft

Readers

  • Aerospace Engineering
  • Calculus or Mathematical Analysis
  • Computational Modeling and Simulation