Interval uncertain method for multibody mechanical systems using Chebyshev inclusion functions

By Jinglai Wu, Zhen Luo, Yunqing Zhang, Nong Zhang, Liping Chen. 2013

223 citations recorded by the source corpus.

Subfields: Control and Systems Engineering, Statistical and Nonlinear Physics, Statistics and Probability

View Paper: https://www.semanticscholar.org/paper/012f31063d7f8db4807d1d0b869fc8b9c0465534

How researchers see this paper

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

In Control and Systems Engineering

1. Zhen Luo
2. Nong Zhang
3. Jinglai Wu
4. Yunqing Zhang
5. Chao Jiang
6. Xu Han
7. Bingjie Ni
8. Qiang Tian

In Statistical and Nonlinear Physics

1. Zhen Luo
2. Chao Jiang
3. Jinglai Wu
4. Nong Zhang
5. Yunqing Zhang

In Statistics and Probability

1. Chao Jiang
2. Bingjie Ni
3. Zhen Luo
4. Jinglai Wu
5. Nong Zhang
6. Xu Han
7. Yunqing Zhang
8. C. Fu

Citations in the corpus

• Interval arithmetic operations for uncertainty analysis with correlated interval variables (2016, background): “However, traditional interval arithmetic operations usually lead to overestimation due to a dependency assumption [25–27].”
• Incremental modeling of a new high-order polynomial surrogate model (2016, background): “For Review Click here to view linked References 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 2”
• A new interval uncertain optimization method for structures using Chebyshev surrogate models (2015, methodology): “A detailed comparison between the Taylor expansion and the Chebyshev expansion can be found in [33,34], which demonstrated the advantages of the Chebyshev method, including in the dynamics problems.”