NATURAL FREQUENCIES AND MODE SHAPES OF THE TRUNCATED CONICAL SHELL WITH FREE EDGES,

Abstract

The Donnell type equations of motion for thin conical shells are solved by an approximate method that yields the natural frequencies and mode shapes. The modified Galerkin method utilized these functions in the assumed solution that are required to satisfy displacement type boundary conditions but are not required to satisfy force type boundary conditions. The method accounts for errors in generalized forces at the boundaries. Equations resulting from the application of the modified Galerkin procedure are solved by matrix iteration. Results are presented for the case of the truncated conical shell with free edges and compared with experimental results available in the literature. (Author)

Document Details

Document Type
Technical Report
Publication Date
Oct 01, 1966
Accession Number
AD0803426

Entities

People

  • Frederick A. Krause

Tags

DTIC Thesaurus Topics

  • Boundaries
  • Displacement
  • Equations
  • Equations Of Motion
  • Frequency
  • Galerkin Method
  • Iterations
  • Literature
  • Mathematics
  • Resonant Frequency

Fields of Study

  • Mathematics

Readers

  • Calculus or Mathematical Analysis
  • Structural Dynamics.