A Nonlinear Theory for the Bending, Buckling, and Vibrations of Conical Shells

Abstract

Equations of motion and associated boundary conditions are developed for the general nonlinear vibrational behavior of thin conical shells. The theory is based upon nonlinear strain-displacement relations deduced for a conical shell from those derived by Sanders for thin shells of compound curvature. Equations for the bending, buckling, and postbuckling of conical shells under arbitrary loads are also developed and are shown to reduce to equations based on more simplified theories for both conical and circular cylindrical shells and circular flat plates. Various solution approaches to the nonlinear conical shell vibration problem are examined, and a new numerical method of solution is proposed and discussed.

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Document Details

Document Type
Technical Report
Publication Date
Jun 01, 1970
Accession Number
AD0873255

Entities

People

  • Dror Bendavid
  • Jean Mayers

Organizations

  • Stanford University

Tags

Communities of Interest

  • Energy and Power Technologies
  • Space
  • Weapons Technologies

DTIC Thesaurus Topics

  • Aeronautics
  • Army Aviation
  • Computational Fluid Dynamics
  • Computational Science
  • Differential Equations
  • Equations
  • Equations Of Motion
  • Governments
  • Kinetic Energy
  • Mathematical Analysis
  • Mechanics
  • Modulus Of Elasticity
  • New York
  • Nonlinear Differential Equations
  • Numerical Analysis
  • Potential Energy
  • Variational Principles

Fields of Study

  • Physics

Readers

  • Structural Dynamics.