ANALYTICAL FORMULATION OF DAMPED STRESS-STRAIN RELATIONS BASED ON EXPERIMENTAL DATA WITH APPLICATIONS TO VIBRATING STRUCTURES

Abstract

The analytical technique of describing material damping by elliptical hysteresis loops was applied to experimental damping data to produce damped, stress-strain relations. The objective of this approach is to produce an easily tractable mathematical description of the stress-strain relation which at the same time adheres closely to experimentally observed behavior. An extension of this development to the biaxial stress case is also demonstrated, although certain special assumptions concerning the role of distortional and dilatational strain energies are necessary in order to achieve this. An example application to the flexural vibration of a cantilever beam is shown to illustrate the aforementioned properties.

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Document Details

Document Type
Technical Report
Publication Date
Nov 01, 1961
Accession Number
AD0271963

Entities

People

  • C.c. Fu
  • T.j. Mentel

Organizations

  • University of Minnesota

Tags

Communities of Interest

  • Energy and Power Technologies

DTIC Thesaurus Topics

  • Air Force
  • Biaxial Stresses
  • Boundaries
  • Cantilever Beams
  • Differential Equations
  • Equations
  • Equations Of Motion
  • Experimental Data
  • Frequency
  • Materials
  • Mathematical Analysis
  • Mechanics
  • Modulus Of Elasticity
  • Steady State
  • Stress Strain Relations
  • Two Dimensional
  • Vibration

Readers

  • Computational Modeling and Simulation
  • Mechanical Engineering/Mechanics of Materials.
  • Structural Dynamics.