Interval multi-objective optimisation of structures using adaptive Kriging approximations

Authors:
Fangyi Li;Zhen Luo;Jianhua Rong;Nong Zhang
Affiliations:
School of Automotive and Mechanical Engineering, Changsha University of Science and Technology, Changsha 410114, China;School of Electrical, Mechanical and Mechatronic Systems, University of Technology, Sydney, NSW 2007, Australia;School of Automotive and Mechanical Engineering, Changsha University of Science and Technology, Changsha 410114, China;School of Electrical, Mechanical and Mechatronic Systems, University of Technology, Sydney, NSW 2007, Australia
Venue:
Computers and Structures
Year:
2013

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Abstract

This paper proposes an interval uncertain multi-objective optimisation (IUMOO) method for structures with uncertain-but-bounded parameters. An adaptive Kriging model is established to improve the computational efficiency and numerical accuracy in the approximation of design functions. Latin Hypercube Design (LHD) is applied to achieve a set of sampling points both in the design and uncertain spaces for calibrating the Kriging surrogate model. The interval number programming method is used to transform the uncertain optimisation into a corresponding deterministic multi-objective optimisation. Typical numerical examples are used to demonstrate the effectiveness of the proposed methodology.