VISCOELASTIC DAMPING OF VIBRATIONS OF SANDWICH PLATES AND SHELLS

Abstract

A new variational principle is presented, which may be considered as a generalized Hamilton's principle. The principle is made use of in the derivation of the complete system of equations for a sandwich cylindrical shell, which are reducible to those of a sandwich plate as a special case. The way the equations are derived is also new. The equations of the sandwich plate and cylindrical shell are used to investigate the undamped vibrations of these structures. Of particular interest are an analysis of the coupling between the flexural and extensional motions of the sandwich cylindrical shell and a demonstration of the importance of transverse shear deformation in the vibrations of the sandwich plate and cylindrical shell. The effectiveness of viscoelastic damping of vibrations in the sandwich plate and cylindrical shell is investigated through the use of the concept of the damping parameter.

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Document Details

Document Type
Technical Report
Publication Date
Jan 01, 1963
Accession Number
AD0617987

Entities

People

  • Yi-yuan Yu

Organizations

  • New York University Tandon School of Engineering

Tags

Communities of Interest

  • Energy and Power Technologies
  • Space

DTIC Thesaurus Topics

  • Air Force
  • Applied Mechanics
  • Boundaries
  • Displacement
  • Equations
  • Equations Of Motion
  • Frequency
  • Lagrangian Functions
  • Materials
  • Mechanics
  • Quadratic Equations
  • Square Roots
  • Stresses
  • Thickness
  • Time Intervals
  • Traction
  • Variational Equations

Fields of Study

  • Engineering
  • Physics

Readers

  • Calculus or Mathematical Analysis
  • Fluid Dynamics.
  • Reinforced Composite Materials