Paper Title:
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.

  Info
Periodical
Chapter
Chapter 1: Uncertainty in Development
Edited by
Holger Hanselka, Peter Groche and Roland Platz
Pages
13-22
DOI
10.4028/www.scientific.net/AMM.104.13
Citation
A. Sichau, S. Ulbrich, "A Second Order Approximation Technique for Robust Shape Optimization", Applied Mechanics and Materials, Vol. 104, pp. 13-22, 2012
Online since
September 2011
Export
Price
$32.00
Share

In order to see related information, you need to Login.

In order to see related information, you need to Login.

Authors: Ricardo Perera, Sheng En Fang, Antonio Ruiz
Abstract:In the context of real-world damage detection problems, the lack of a clear objective function advises to perform simultaneous optimizations...
661
Authors: Bing Kun Zhu, Li Hong Xu, Hai Gen Hu
Abstract:Multi-objective optimization is a challenging research topic because it involves the simultaneous optimization of several complex and...
818
Authors: Wen Hui Mo
Chapter 1: Materials Properties
Abstract:Reliability optimization design of the gear box is proposed. It includes an objective function, 30 design variables and 52 constraints. It is...
1326
Authors: Huan Yuan Chen, Yong Jun Xie, Dong Song Yan, Hao Liu, Jing Ming Li
Chapter 12: Computer-Aided Design, Manufacturing and Engineering
Abstract:In order to enhance the working performance of micro-capacitive accelerometer in high temperature environment, the structure topology...
3080
Authors: Xiao Lin Zhang, Ping Jiang, Jun Zheng, Ying Li
Abstract:Analytical Target Cascading (ATC) is a method to partition the optimization of a complex system into a set of subsystem optimizations and a...
164