Reliability-based structural optimization with probability and convex set hybrid models

By Zhan Kang, Yangjun Luo. 2010

135 citations recorded by the source corpus.

Subfields: Civil and Structural Engineering, Statistics and Probability

View Paper: https://www.semanticscholar.org/paper/f54a3d4dd309a34e0ec977bcb3fa17f710d0dcdb

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. Zhen Luo
4. Lei Wang
5. Xiaojun Wang
6. Jinglai Wu
7. Yongjun Xia
8. Nong Zhang

In Statistics and Probability

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

Citations in the corpus

• Reliability-based design optimization for problems with interval distribution parameters (2016, methodology): “(Kang and Luo 2010) presented a RBDO approach with a probability and convex set hybridmodel.”
• A new reliability analysis method for uncertain structures with random and interval variables (2012, methodology): “A well-known 10-bar aluminum truss (Au et al. 2003; Jiang et al. 2007; Kang and Luo 2010; Guo et al. 2009) is investigated, as shown in Fig.”
• Hybrid reliability analysis of structures with multi-source uncertainties (2013, background): “Randomness and fuzziness/convexity have also been combined for hybrid reliability analysis [8,38,39].”
• A new interval uncertain optimization method for structures using Chebyshev surrogate models (2015, methodology): “To reduce the computational cost of the nested optimization, one option is to use the first-order Taylor series expansion to approximate the maximum and minimum values in the inner loop [18], instead of using the optimization algorithm.”
• Non-probabilistic reliability-based topology optimization with multidimensional parallelepiped convex model (2017, methodology): “the ellipsoidal model (Lindberg 1992; Ben-Haim 1993), super ellipsoid model (Elishakoff and Bekel 2013) and multi-ellipsoid model (Luo et al. 2009a; Kang and Luo 2010).”
• An interval uncertain optimization method for vehicle suspensions using Chebyshev metamodels (2014, background): “[28] studied the RBDO of non-deterministic structures using both the stochastic and uncertain-but-bounded variations.”
• Topology optimization for worst load conditions based on the eigenvalue analysis of an aggregated linear system (2011, methodology): “They applied this methodology to optimization which considers geometrical non-linearities [25] and extended the combination model with the probabilistic model [26].”
• Interval uncertain method for multibody mechanical systems using Chebyshev inclusion functions (2013, methodology): “So far, many methods [2,3] can be applied to model various uncertainties in a board range of applications, including the probabilistic method [2], fuzzy-set method [4], and convex models [5–7].”