Optimization of structures with uncertain constraints based on convex model and satisfaction degree of interval

By Chao Jiang, Xu Han, Gui-rong Liu. 2007

182 citations recorded by the source corpus.

Subfields: Management Science and Operations Research, Statistics and Probability

View Paper: https://www.semanticscholar.org/paper/7bc6efcb2121cacb8adba71daf249870032282ab

How researchers see this paper

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

In Management Science and Operations Research

1. Chao Jiang
2. Q. F. Zhang
3. Zhan Kang
4. L. X. Liu
5. Zhen Luo
6. Gang Lu
7. Yangjun Luo
8. Xiaojun Wang

In Statistics and Probability

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

Citations in the corpus

• A new interval uncertain optimization method for structures using Chebyshev surrogate models (2015, background): “The uncertainties induced by the bounded parameters can be treated with convex models or intervalmodels [6,8–10].”
• Reliability-based structural optimization with probability and convex set hybrid models (2010, background): “A number of studies on the non-probabilistic optimization designs using convex sets have been presented in literatures (Qiu and Elishakoff 1998; Pantelides and Ganzerli 1998; Au et al. 2003; Jiang et al. 2007; Luo et al. 2009).”
• Interval uncertain method for multibody mechanical systems using Chebyshev inclusion functions (2013, methodology): “It is noted that most interval methods are used to solve static mechanical and structural systems, including design optimization [17,22], and structural analysis problems [23,24].”
• A novel shape function approach of dynamic load identification for the structures with interval uncertainty (2016, background): “However, uncertainty in material properties, geometric dimensions and other parameters generally exists in practical engineering structures (Jiang et al. 2007a, b).”
• Structural reliability analysis based on random distributions with interval parameters (2011, methodology): “tainty quantification, in which the traditional probability approach and the non-probability interval analysis [11,17–21] are well integrated.”
• A new reliability analysis method for uncertain structures with random and interval variables (2012, methodology): “6 A 25-bar steel truss (Jiang et al. 2007)”
• Correlation analysis of non-probabilistic convex model and corresponding structural reliability technique (2011, background): “Based on the order relation of convex sets, a nonlinear interval number programming with high efficiency was suggested for reliability design of uncertain structures [24,25].”
• Continuum topology optimization with non-probabilistic reliability constraints based on multi-ellipsoid convex model (2009, background): “Using a prescribed satisfaction level of intervals, Jiang et al. (2007) presented an optimization formulation in which uncertain constraints are transformed to deterministic ones.”
• Multidimensional parallelepiped model—a new type of non‐probabilistic convex model for structural uncertainty analysis (2015, methodology): “Based on the order relation of intervals, a nonlinear programming method was proposed for design of structures with interval uncertainty [27, 28].”
• A non-probabilistic structural reliability analysis method based on a multidimensional parallelepiped convex model (2014, methodology): “Based on the order relation of convex sets, a nonlinear interval number programming method with high efficiency was proposed for use in the reliability design of uncertain structures [28,29].”