Fuzzy Multi Objective Optimization of an Automotive Seat Using Response Surface Model and Reliability Method

Kwangki Lee and Tae Hee Lee
June 8, 2001

Abstract

The probabilistic technique based on design of experiments and response surface model is one of the ways to solve the multi-objective optimization and multidisciplinary design optimization. A procedure for a multi-objective optimization based on response surface and fuzzy decision-making algorithm is proposed. The fuzzy product operator, the so-called geometric mean in fuzzy set theory, is proposed for the fuzzy decision-making algorithm. Design of experiments is utilized for exploring the design space and for constructing the regression models to facilitate the effective solution of multi-objective optimization problems. Response surface models provide an efficient means to rapidly model the trade-off among many conflicting goals within given probabilistic constraints. Among the MPP (most probable failure point) based probabilistic methods, FORM (first-order reliability method) is used to accurately calculate the value and sensitivity of probabilistic constraints for the frame optimization of an automotive seat. The SQP (sequential quadratic programming) algorithm with fuzzy product operator is successfully integrated for reliability-based multi-objective optimization of automotive seat. Finally, the results from DET (deterministic), MVFO (mean value first order second moment) and FORM reliability methods are provided.

Introduction

Nowadays the probabilistic techniques based on design of experiments (DOE) and response surface model (RSM) are widely used in engineering areas for solving the multi-objective optimization. Design of experiments is utilized for exploring the engineers’ design space and for constructing the response surface models to facilitate the effective solution of multi-objective optimization problems. Response surface models provide an efficient means to rapidly model the trade-off among many conflicting goals within given complicated constraints. In structural analysis of engineering design, there exist uncertainties in loading, material properties, geometry and environment condition. These uncertainties should be taken into consideration carefully in order to ensure that the design performs its function within desired confidence limit that failure will be avoided.

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