THE INFLUENCE OF DAMPING ON THE SNAPPING OF A SHALLOW ARCH UNDER A STEP PRESSURE LOAD

Abstract

The snapping of a simply-supported shallow sinusoidal arch under a sinusoidally distributed step pressure load is considered. In the presence of velocity-dependent damping of any nonzero magnitude, it is shown that there exists no difference between static and dynamic snap loads for arch rises above a certain magnitude and for sufficiently small external disturbances. Below the foregoing value of arch rise snapping is governed entirely by symmetric snap- through. The results obtained herein, when compared to an existing analysis on the subject, imply that a jump in the critical snap-through load occurs at the boundary between the damped and undamped systems. Similar results concerning cylinders and rings are mentioned.

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Document Details

Document Type
Technical Report
Publication Date
Apr 01, 1968
Accession Number
AD0671545

Entities

People

  • F. Tzung
  • Gilbert A. Hegemier

Organizations

  • University of California, San Diego

Tags

Communities of Interest

  • Air Platforms

DTIC Thesaurus Topics

  • Air Force
  • Boundaries
  • California
  • Coefficients
  • Computational Science
  • Differential Equations
  • Elastic Shells
  • Engineering
  • Equations
  • Equations Of Motion
  • Geometry
  • Mechanical Engineering
  • Modal Analysis
  • Nonlinear Differential Equations
  • Numerical Integration
  • Pressure Distribution
  • Scientific Research

Readers

  • Control Systems Engineering.
  • Structural Dynamics.