ON THE FINITE DEFLECTION OF A VISCOELASTIC CANTILEVER

Abstract

A solution is presented for the finite deflection of a linearly viscoelastic cantilever clamped horizontally at one end and loaded vertically at the other. The geometrical nonlinearity is incorporated with the viscoelastic equivalent of the Bernoulli-Euler theory of bending of elastic beams. An example using the viscoelastic properties of a new thermoplastic engineering material, delrin, is presented. The approach uses viscoelastic characteristics in the form of the creep compliance which can be measured directly, and can represent arbitrary linear viscoelastic behavior. The method of solution is presented as an example of the incorporation of linear viscoelastic operators into a perturbation procedure which deals with the influence of geometrical non-linearity. (Author)

Document Details

Document Type
Technical Report
Publication Date
Aug 01, 1961
Accession Number
AD0262995

Entities

People

  • E.h. Lee
  • T.g. Rogers

Organizations

  • Brown University

Tags

DTIC Thesaurus Topics

  • Deflection
  • Engineering
  • Linearity
  • Materials
  • Mathematical Analysis
  • Perturbations

Fields of Study

  • Mathematics

Readers

  • Structural Dynamics.