The Normal Modes of Beam-Like Structures by a Lanczos-Stodola Method.

Abstract

A method of finding the flexural and torsional normal modes of structures which have straight stiffness axes and which are mounted as cantilevers is given. The Lanczos method of minimised iterations is used to obtain intermediate modes using the integro-differential equations and the mass and stiffness distributions. The inertia matrix appropriate to the intermediate modes is tridiagonal and the stiffness matrix is unit. The dominant eigenvalues and vectors of the inertia matrix give good approximations to the graver normal bodies. Results of test calculations using a computer program which also allows for the presence of discrete masses are given.

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Document Details

Document Type
Technical Report
Publication Date
May 01, 1980
Accession Number
ADA088169

Entities

People

  • T. Niblett

Organizations

  • Royal Aircraft Establishment

Tags

Communities of Interest

  • Air Platforms

DTIC Thesaurus Topics

  • Accuracy
  • Aircrafts
  • Bending Moments
  • Coefficients
  • Computer Programs
  • Computers
  • Differential Equations
  • Digital Computers
  • Eigenvalues
  • Equations
  • Errors
  • Fiber Reinforced Polymers
  • Frequency
  • Iterations
  • Numerical Integration
  • Reinforced Plastics
  • Resonant Frequency

Readers

  • Control Systems Engineering.
  • Linear Algebra
  • Structural Health Monitoring of Composite Structures.