Probabilistic Solution for One-Dimensional Plane Wave Propagation in Homogeneous Bilinear Hysteretic Materials.

Abstract

This paper describes the development of a probabilistic solution for stress wave propagation in homogeneous bilinear hysteretic materials subjected to an exponentially decaying surface airblast pulse. The partial derivative method is used to calculate the time histories of the moments of the dependent (output) variables, consisting of particle displacement, particle velocity, and stress, in terms of functions of moments of the independent (input) variables. The partial derivatives are evaluated numerically using finite-difference approximations. Several sensitivity analyses are conducted to illustrate how the solution technique can be used to quantify and rank the relative effects of input variabilities or uncertainties on the dispersion of output quantities. Finally, application of the methodology for conducting probabilistic analyses of airblast-induced vertical ground shock is demonstrated.

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Document Details

Document Type
Technical Report
Publication Date
Jun 01, 1982
Accession Number
ADA118030

Entities

People

  • Behzad Rohani

Tags

DTIC Thesaurus Topics

  • Blast
  • Boundaries
  • Dispersions
  • Displacement
  • Explosions
  • Explosives
  • Materials
  • Measurement
  • Plane Waves
  • Probability
  • Random Variables
  • Shock
  • Stress Strain Relations
  • Stress Waves
  • Stresses
  • Wave Propagation
  • Waves

Readers

  • Calculus or Mathematical Analysis
  • Regression Analysis.
  • Structural Dynamics.