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Algorithms 2017, 10(4), 128; https://doi.org/10.3390/a10040128

Truss Structure Optimization with Subset Simulation and Augmented Lagrangian Multiplier Method

1
Aircraft Strength Research Institute of China, Xi’an 710065, China
2
College of Aerospace Engineering, Nanjing University of Aeronautics and Astronautics, Nanjing 210016, China
*
Author to whom correspondence should be addressed.
Received: 20 August 2017 / Revised: 10 November 2017 / Accepted: 12 November 2017 / Published: 21 November 2017
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Abstract

This paper presents a global optimization method for structural design optimization, which integrates subset simulation optimization (SSO) and the dynamic augmented Lagrangian multiplier method (DALMM). The proposed method formulates the structural design optimization as a series of unconstrained optimization sub-problems using DALMM and makes use of SSO to find the global optimum. The combined strategy guarantees that the proposed method can automatically detect active constraints and provide global optimal solutions with finite penalty parameters. The accuracy and robustness of the proposed method are demonstrated by four classical truss sizing problems. The results are compared with those reported in the literature, and show a remarkable statistical performance based on 30 independent runs. View Full-Text
Keywords: structural optimization; subset simulation optimization; augmented Lagrangian; truss structures structural optimization; subset simulation optimization; augmented Lagrangian; truss structures
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This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited (CC BY 4.0).
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Du, F.; Dong, Q.-Y.; Li, H.-S. Truss Structure Optimization with Subset Simulation and Augmented Lagrangian Multiplier Method. Algorithms 2017, 10, 128.

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