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

Abstract

Results from experimental studies concerning the natural frequencies and mode shapes of the thin truncated conical shell with free edges have not been consistent. Mode shapes from one study were found to have an equal number of nodes at the two free edges when vibrating in a given mode while in contrast a second study revealed an unequal number of nodes at the two cone edges. The theoretical results presented in this study are obtained through the use of a modified Galerkin procedure and are in agreement with the equal node experimental data. At the same time, the theoretical results have been used as a basis for explaining the opposing experimental data.

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Document Details

Document Type
Technical Report
Publication Date
Jan 01, 1968
Accession Number
AD0665828

Entities

People

  • Frederick A. Krause

Organizations

  • Space Systems Command

Tags

Communities of Interest

  • Energy and Power Technologies
  • Weapons Technologies

DTIC Thesaurus Topics

  • Abstracts
  • Air Force
  • Boundaries
  • Computer Programs
  • Computers
  • Differential Equations
  • Equations
  • Equations Of Motion
  • Experimental Data
  • Frequency
  • Galerkin Method
  • Geometry
  • Materials
  • Modulus Of Elasticity
  • Resonant Frequency
  • United States
  • Universities

Fields of Study

  • Physics

Readers

  • Structural Dynamics.
  • Theoretical Analysis.