SANDERS' TYPE IMPROVED SHELL THEORY FOR GENERAL ORTHOGONAL COORDINATES.

Abstract

To predict and to prevent structural failures in the compressor blades and turbine buckets of jet engines, analytical investigation of their natural frequencies as well as transient stresses and deformations is imperative. As higher performance of the engine is demanded, the blade section becomes more and more a piece of thin shell mostly in the form of an airfoil and its attachment is flexible. The purpose of the report is to build up a solid foundation upon which the problems of thin shells can be based when the lines-of-curvature corrdinates should be avoided. In this report mathematical derivations are worked out. The three final equilibrium equations for any arbitrary orthogonal curvilinear coordinate system and the boundary conditions are fully presented.

Document Details

Document Type
Technical Report
Publication Date
Oct 01, 1969
Accession Number
AD0697818

Entities

People

  • James Sheng

Organizations

  • University of Cincinnati

Tags

DTIC Thesaurus Topics

  • Attachment
  • Boundaries
  • Compressor Blades
  • Compressors
  • Coordinate Systems
  • Curvature
  • Engines
  • Equations
  • Frequency
  • Geometry
  • Jet Engines
  • Resonant Frequency
  • Rotor Blades (Turbomachinery)
  • Turbine Blades
  • Turbines
  • Turbomachinery

Readers

  • Aerodynamics.
  • Calculus or Mathematical Analysis
  • Structural Dynamics.