THE VARIANCE ON PALMGREN-MINER DAMAGE DUE TO RANDOM VIBRATION

Abstract

A random stress-history which is proportional to the stationary response of a single-degree-offreedom vibratory system to wide-band Gaussian excitation is assigned a damage based on the Palmgren-Miner hypothesis and an idealized S-N law. The damage accumulated in time T is a random variable because of the randomness in the number of cycles and the randomness in the amplitudes of the cycles. The mean and variance of the damage are obtained by two procedures: one which accounts for both sources of randomness and one which neglects the randomness in the number of cycles contained in the interval. The two procedures give the same asymptotic result when the bandwidth shrinks to zero. (Author)

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Document Details

Document Type
Technical Report
Publication Date
Jan 01, 1962
Accession Number
AD0271151

Entities

People

  • Ghassan R. Khabbaz
  • Stephen H. Crandall
  • William D. Mark

Organizations

  • Massachusetts Institute of Technology

Tags

DTIC Thesaurus Topics

  • Air Force
  • Autocorrelation
  • Data Science
  • Differential Equations
  • Frequency
  • Government Procurement
  • Information Science
  • Integrals
  • Materials
  • Probability
  • Probability Distributions
  • Random Variables
  • Random Vibration
  • Resonant Frequency
  • Stationary
  • Test And Evaluation
  • Vibration

Fields of Study

  • Mathematics

Readers

  • Materials Science (Mechanical Engineering).
  • Statistical inference.
  • Thermal Physics or Thermal Science.