Continuum topology optimization with non-probabilistic reliability constraints based on multi-ellipsoid convex model

By Yangjun Luo, Zhan Kang, Zhen Luo, Alex Li. 2009

245 citations recorded by the source corpus.

Subfields: Civil and Structural Engineering, Computational Theory and Mathematics, Statistics and Probability

View Paper: https://www.semanticscholar.org/paper/c28a73da440cf50a84536b4c3ea844efd3dab6af

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Civil and Structural Engineering

1. Chao Jiang
2. Bingjie Ni
3. Zhan Kang
4. Zhen Luo
5. Zhiliang Huang
6. Jiang Chao
7. Jinglai Wu
8. Nong Zhang

In Computational Theory and Mathematics

1. Zhan Kang
2. Bingjie Ni
3. Chao Jiang
4. Zhiliang Huang
5. Jiang Chao
6. Nong Zhang
7. Zhen Luo
8. Jinglai Wu

In Statistics and Probability

1. Chao Jiang
2. Bingjie Ni
3. Zhen Luo
4. Jinglai Wu
5. Zhiliang Huang
6. Jiang Chao
7. Nong Zhang
8. Yunqing Zhang

Citations in the corpus

• Reliability-based structural optimization with probability and convex set hybrid models (2010, methodology): “In this study, the multi-ellipsoid convex model (Luo et al. 2009) is applied for the uncertain-but-bounded”
• Hybrid reliability analysis of structures with multi-source uncertainties (2013, methodology): “Several reliability-based optimization design methods were also developed by treating the non-probabilistic reliability indexes as constraints [24–26].”
• Reliability-based design optimization under mixture of random, interval and convex uncertainties (2016, background): “[42,43] further explored the concept of RBDO in the following next 20 years.”
• A non-probabilistic structural reliability analysis method based on a multidimensional parallelepiped convex model (2014, methodology): “By placing the non-probability reliability indexes as constraints, several reliability-based optimization design methods were developed [25,26].”
• An interval uncertain optimization method for vehicle suspensions using Chebyshev metamodels (2014, background): “For instance, Luo and his co-workers [27] proposed a mathematical definition to describe the non-probabilistic reliability index using the multi-ellipsoid convex model for structure optimization problems.”
• Single-loop system reliability-based topology optimization considering statistical dependence between limit-states (2011, methodology): “This approach is often termed as reliabilitybased topology optimization (RBTO), and has been successfully applied to a variety of topology optimization problems (Bae et al. 2002; Maute and Frangopol 2003; Allen et al. 2004; Jung and Cho 2004 ;K ang et al.2004; Kharmanda et al. 2004; Kim et al. 2006;”