Date of Award

Fall 2005

Document Type

Thesis

Degree Name

Master of Science (MS)

Department

Mechanical & Aerospace Engineering

Program/Concentration

Mechanical Engineering

Committee Director

Gene J. W. Hou

Committee Member

J. K. Huang

Committee Member

Ariel Pinto

Call Number for Print

Special Collections; LD4331.E56 B66 2005

Abstract

In the real world, many applications are subjected to uncertainty. A simple illustration would be a structure like a bridge where magnitude and the speed of the loads acting on it are continuously changing. Therefore it becomes essential to study this stochastic or random nature. The thrust of this research is to develop an efficient reliability and sensitivity technique based on stochastic response surfaces (polynomial chaos expansions) constructed using Gauss-Hermite integration. The focus is on calculating the uncertainty propagation using less number of function evaluations since the stochastic response surface needs to be reconstructed at each design cycle. Using the same set of data along with logic function probability calculations and sensitivity analysis is done. This entire process is being illustrated with two academic examples, two structural problems and one industrial application problem. The results obtained with finite element model analysis and with analytical methods and compared with Monte Carlo Simulation. These results are encouraging for a wide range of practical applications.

Rights

In Copyright. URI: http://rightsstatements.org/vocab/InC/1.0/ This Item is protected by copyright and/or related rights. You are free to use this Item in any way that is permitted by the copyright and related rights legislation that applies to your use. For other uses you need to obtain permission from the rights-holder(s).

DOI

10.25777/54mn-n083

Download

Share

COinS