An Approximate Formula for the Fundamental Frequency of a Uniform Rotating Beam Clamped Off the Axis of Rotation

Abstract

A semi-empirical method involving asymptotic expansions is used to obtain an approximate formula for the fundamental frequency of a uniform rotating beam clamped off the axis of rotation. Results from the formula are shown to be of the order of 0.1% different from the exact results for a wide range of rotor speeds and hub radii up to the order of blade length. Thus, the designer is provided with a rapid, very accurate estimate of the frequency, without having to interpolate results from a chart or run a digital computer program.

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Document Details

Document Type
Technical Report
Publication Date
Jan 01, 1981
Accession Number
ADA104390

Entities

People

  • D. H. Hodges

Tags

Communities of Interest

  • Air Platforms
  • Materials and Manufacturing Processes
  • Space

DTIC Thesaurus Topics

  • Asymptotic Series
  • Bessel Functions
  • Boundaries
  • Composite Materials
  • Computer Programs
  • Computers
  • Differential Equations
  • Digital Computers
  • Equations
  • Frequency
  • Gas Turbine Blades
  • Gas Turbines
  • Power Series
  • Rotation
  • Turbine Blades
  • Turbines
  • Wind Turbines

Fields of Study

  • Mathematics
  • Physics

Readers

  • Aerodynamics.
  • Regression Analysis.
  • Structural Dynamics.