A Second Order Approximation Technique for Robust Shape Optimization

Adrian Sichau; Stefan Ulbrich

doi:10.4028/www.scientific.net/AMM.104.13

Paper Titles

Behaviour Prediction Framework in System Architecture Development
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A Second Order Approximation Technique for Robust Shape Optimization
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Approaches for Assessment of Non-Determinism in Different Stages of Engineering Product Design Using Finite Element Analysis
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An Approach to Classify Methods to Control Uncertainty in Load-Carrying Structures
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Time-Dependent Fuzzy Stochastic Reliability Analysis of Structures
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Ontology-Based Information Model for the Exchange of Uncertainty in Load Carrying Structures
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An Approach of Design Methodology and Tolerance Optimization in the Early Development Stage to Achieve Robust Systems
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Influence of Tolerances on Mechatronic Comfort Systems Behavior
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HomeApplied Mechanics and MaterialsApplied Mechanics and Materials Vol. 104A Second Order Approximation Technique for Robust...

A Second Order Approximation Technique for Robust Shape Optimization

Abstract:

We present a second order approximation for the robust counterpart of general uncertain nonlinear programs with state equation given by a partial di erential equation.We show how the approximated worst-case functions, which are the essential part of the approximated robust counterpart, can be formulated as trust-region problems that can be solved effciently using adjoint techniques. Further, we describe how the gradients of the worst-case functions can be computed analytically combining a sensitivity and an adjoint approach. This methodis applied to shape optimization in structural mechanics in order to obtain optimal solutions that are robust with respect to uncertainty in acting forces. Numerical results are presented.