 | | Mechanics of Solids
A Journal of Russian Academy of Sciences | | Founded
in January 1966
Issued 6 times a year
Print ISSN 0025-6544
Online ISSN 1934-7936 |
Archive of Issues
| Total articles in the database: | | 12977 |
| In Russian (Èçâ. ÐÀÍ. ÌÒÒ): | | 8096
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| In English (Mech. Solids): | | 4881 |
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| Xinze Guo, Shunyi Shi, and Kemin Zhou, "An Efficient Robust Optimization Method for Two-Bar Structures under Uncertain Loading," Mech. Solids. 59 (5), 2892-2905 (2024) |
| Year |
2024 |
Volume |
59 |
Number |
5 |
Pages |
2892-2905 |
| DOI |
10.1134/S0025654424604646 |
| Title |
An Efficient Robust Optimization Method for Two-Bar Structures under Uncertain Loading |
| Author(s) |
Xinze Guo (Huaqiao University, College of Civil Engineering, Xiamen, China)
Shunyi Shi (Jiangsu Maritime Institute, College of Cruise and Art Design, Nanjing, China)
Kemin Zhou (Huaqiao University, College of Civil Engineering, Xiamen, China, zhoukm@hqu.edu.cn) |
| Abstract |
Uncertainty is omnipresent in manufacturing and engineering community. This paper develops an efficient robust optimization framework for a two-bar structural model under uncertain
loading, which includes magnitude and direction uncertainty following Gaussian distribution. This
framework aims to simultaneously minimize the expectancy and standard deviation of structural compliance with volume constraints. A reasonable and efficient estimation of the statistical moment of
structural compliance is recognized the critical to the probability-based RTO problem. To address the
computational challenges associated with high dimensionality in traditional surrogate models, a
decoupling technique based on non-intrusive polynomial chaos expansion is developed. Such a
numerical evaluation tool is generic for different types of structures. In addition, an analytical expression based on a two-bar structure is derived as a standard reference. The cross-sectional area and angle
with horizontal direction of each bar are taken as design variables and optimization is achieved using
the optimality criteria. Numerical examples demonstrate that the accuracy and efficiency of the
reported algorithm are significantly improved compared to conventional methods such as polynomial
chaos expansion and Monte Carlo simulation. The optimized designs prove a better robust performance than their counterparts. |
| Keywords |
uncertain load, two-bar structures, polynomial chaos expansion, robust, topology optimization |
| Received |
15 February 2024 | Revised |
22 March 2024 | Accepted |
24 April 2024 |
| Link to Fulltext |
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