EXCEEDANCES OF STRUCTURAL INTERACTION BOUNDARIES FOR RANDOM EXCITATION,

Abstract

A general theory is developed for determining the number of times a given structural interaction boundary is exceeded when the structure is under random excitation. One of the practical problems of concern is that of an airplane encountering a random gust field, where spar design is governed by interaction curves involving combined axial and shear stresses. Based on a normal-type joint distribution curve, a fairly simple basic equation is developed which allows for the rapid evaluation of the number of exceedance of any stipulated interaction curve. The similarity of the equation with Rice's familiar equation for the single variable case is shown. The theory and results are also developed for cases which obey non-normal distribution laws of the type that are more likely to be found in practice. In addition, exact solutions are obtained for certain special cases of interest. (Author)

Document Details

Document Type
Technical Report
Publication Date
Dec 01, 1967
Accession Number
AD0666942

Entities

People

  • John C. Houbolt

Tags

Communities of Interest

  • Air Platforms

DTIC Thesaurus Topics

  • Aircrafts
  • Airframes
  • Airplanes
  • Boundaries
  • Distribution Curves
  • Equations
  • Excitation
  • Mathematics
  • Mechanical Structure
  • Normal Distribution
  • Shear Stresses
  • Stresses
  • Test And Evaluation

Readers

  • Calculus or Mathematical Analysis
  • Mathematical Modeling and Probability Theory.
  • Structural Dynamics.