Fuzzy Modeling of Armor Plate Bending by Blast

Abstract

A mathematical model is developed for the deformation of armor plates due to loading by bare explosive. Data inaccuracies are treated by a fuzzy set approach. Uncertainties of the model are expressed by fuzzy model parameters which appropriate spreads and the parameter values are determined by minimizing a least squares objective function of data and parameter vectors are assumed to be conical. The report contains a short discussion of fuzzy vector and function spaces with such membership functions and of corresponding regression techniques. These techniques are used to derive a model for the deformation of a steel armor plate by pressure from a nearby explosion. Keywords: Plate deformation, Fuzzy regression, Conical membership, Least squares, Bare explosive, Function armor plate, Fuzzy data, Fuzzy nonlinear models, Least squares method.

Open PDF

Document Details

Document Type
Technical Report
Publication Date
Aug 01, 1990
Accession Number
ADA226388

Entities

People

  • Aivars K. Celmins

Organizations

  • Ballistic Research Laboratory

Tags

Communities of Interest

  • Air Platforms
  • Space
  • Weapons Technologies

DTIC Thesaurus Topics

  • Algorithms
  • Armor
  • Armor Plate
  • Data Analysis
  • Data Science
  • Explosions
  • Explosives
  • Fuzzy Sets
  • Geometry
  • Information Science
  • Least Squares Method
  • Mathematical Models
  • Military Research
  • Models
  • Nonlinear Dynamics
  • Regression Analysis
  • Set Theory

Fields of Study

  • Mathematics

Readers

  • Computational Modeling and Simulation
  • Neural Network Machine Learning.
  • Structural Dynamics.

Technology Areas

  • Space