Interval-Based Finite Element Methods

12/11/98


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Table of Contents

Interval-Based Finite Element Methods

Introduction

Outline

Koyluglu, U., Cakmak, S., Ahmet, N., and Soren R. K. 1995. "Interval Algebra to Deal with Pattern Loading and Structural Uncertainty", Journal of Engineering Mechanics,1149-1157.

PPT Slide

Interval arithmetic-background

Interval arithmetic-background

Interval Representation

Interval Representation

Interval Representation

Interval Operations

Properties of Interval Arithmetic

Sharp Results

Sharp Results

Interval Finite Elements

Interval Finite Elements

Interval Finite Elements

Finite Element Sharp Results

Finite Element Sharp Results

Examples

Examples-Structural load uncertainty

Examples-Structural load uncertainty

Examples-Structural load uncertainty

Examples-Structural load uncertainty

Examples-Structural load uncertainty

Examples-Continuum load uncertainty

Examples-Continuum load uncertainty

Examples-Structural geometric uncertainty

Conclusions

Conclusions

Author: Rafi L. Muhanna