Robust design with arbitrary distributions using Gauss-type quadrature formula

DOI10.1007/s00158-008-0328-2zbMath1274.74232OpenAlexW2005122671MaRDI QIDQ381314

Byung Man Kwak, Wei Chen, Sang Hoon Lee

Publication date: 15 November 2013

Published in: Structural and Multidisciplinary Optimization (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00158-008-0328-2

zbMATH Keywords

design optimizationrobust designGauss-type quadrature formulaanalytical design sensitivity analysistensor product quadratureunivariate dimension reduction method

Mathematics Subject Classification ID

Applications of mathematical programming (90C90) Numerical quadrature and cubature formulas (65D32) Compliance or weight optimization in solid mechanics (74P05)

Related Items (12)

Level set based robust shape and topology optimization under random field uncertainties ⋮ A new level-set based approach to shape and topology optimization under geometric uncertainty ⋮ Sampling-based RBDO using the stochastic sensitivity analysis and dynamic kriging method ⋮ Robust design optimization with bivariate quality characteristics ⋮ An adaptive dimension decomposition and reselection method for reliability analysis ⋮ Design optimization for robustness in multiple performance functions ⋮ Robust design optimization by polynomial dimensional decomposition ⋮ A generalized uncertainty propagation criterion from benchmark studies of microstructured material systems ⋮ Pfosm: an efficient algorithm for aerodynamic robust design based on continuous adjoint and matrix-vector products ⋮ SAMBA: sparse approximation of moment-based arbitrary polynomial chaos ⋮ A surrogate based multi-fidelity approach for robust design optimization ⋮ Sparse grids and applications -- Stuttgart 2014. Collected contributions of the 3rd workshop, SGA 2014, Stuttgart, Germany, September 1--5, 2014

Uses Software

• ORTHPOL

Cites Work

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• Numerical integration in statistical decision-theoretic methods for robust design optimization
• Two-point estimates in probabilities
• Algorithm 726: ORTHPOL–a package of routines for generating orthogonal polynomials and Gauss-type quadrature rules
• Development of a simple and efficient method for robust optimization
• Efficient statistical tolerance analysis for general distributions using three-point information
• A generalized dimension‐reduction method for multidimensional integration in stochastic mechanics
• Remarks on a Multivariate Transformation

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