Computational Mathematics for Determining Uncertain Bounds in Multi-Valued Engineering Design

Abstract

Many scientific and engineering communities have recognized that intrinsic uncertainties in an engineering structural system have multifaceted natures (randomness, non-randomness, partial randomness, vagueness, and so forth) and traditional probability theory does not always provide an appropriate framework for handling the various types of uncertainties. The primary objectives of this research work were to explore the possible mathematical frameworks of Uncertainty Quantification (UQ) and to develop an appropriate and unified framework for multiple types of uncertainty sources. The candidate frameworks include probability theory and evidence theory (Dempster-Shafer theory). Multidisciplinary Optimization is addressed by developing sensitivity analysis of quantified uncertainty in a structural system and a cost-efficient UQ methodology.

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Document Details

Document Type
Technical Report
Publication Date
Apr 30, 2004
Accession Number
ADA424007

Entities

People

  • Ramana V. Grandhi

Organizations

  • Wright State University

Tags

Communities of Interest

  • Air Platforms
  • Human Systems

DTIC Thesaurus Topics

  • Air Force
  • Aircrafts
  • Algorithms
  • Distribution Functions
  • Engineering
  • Failure Mode And Effect Analysis
  • Finite Element Analysis
  • Fuzzy Sets
  • Materials
  • Mathematics
  • Mechanical Properties
  • Mechanics
  • Numerical Analysis
  • Optimization
  • Probability
  • Random Variables
  • Reliability

Readers

  • Artificial Intelligence
  • Distributed Systems and Data Platform Development
  • Regression Analysis.