Theory Extension and Numerical Experiments to Determine the Probability of Exceedance of Given Load Levels in Specified Times

Abstract

Extensions to the theory of the 'first encounter' problem are developed. Numerical experiments with actual time histories were conducted to establish the probability density distribution functions for the intervals between like crossings. Time histories considered include a random function, verticle acceleration records due to gust encounter, and vertical gust velocities of continuous atmospheric turbulence. It appears that the density distribution function for practical cases can be represented well by two exponential terms (a single term applies to a time sequence of independent events). The associated curves giving the probability of encountering a given level of the phenomenon under consideration in a specified time are developed. Examples are given to show application in the gust loads encounter problem.

Open PDF

Document Details

Document Type
Technical Report
Publication Date
Aug 01, 1975
Accession Number
ADA017680

Entities

People

  • John C. Houbolt

Tags

Communities of Interest

  • Air Platforms

DTIC Thesaurus Topics

  • Air Force
  • Aircrafts
  • Airplanes
  • Atmospheric Motion
  • Convolution Integrals
  • Crossings
  • Distribution Functions
  • Gust Loads
  • Gusts
  • Intervals
  • Power Spectra
  • Probability
  • Probability Density Functions
  • Scientific Research
  • Time Intervals
  • Turbulence
  • Wind

Readers

  • Atmospheric Science / Meteorology, specifically Wind Wave Turbulence.
  • Computational Modeling and Simulation
  • Mathematical Modeling and Probability Theory.