Stochastic interval analysis of natural frequency and mode shape of structures with uncertainties

By Chen Wang, Wei Gao, Chongmin Song, Nong Zhang. 2014

49 citations recorded by the source corpus.

Abstract In this paper, natural frequencies and mode shapes of structures with mixed random and interval parameters are investigated by using a hybrid stochastic and interval approach. Expressions for the mean value and variance of natural frequencies and mode shapes are derived by using perturbation method and random interval moment method. The bounds of these probabilistic characteristics are then determined by interval arithmetic. Two examples are given first to illustrate the feasibility of the presented method and the results are verified by Monte Carlo Simulations. The presented approach is also applicable to solve pure random and pure interval problems. This capability is demonstrated in the third and fourth examples through the comparisons with the peer research outcomes.

Subfields: Biomedical Engineering, Civil and Structural Engineering, Statistics and Probability

View Paper: https://www.semanticscholar.org/paper/bc5855e439ab6ea89816ece961da18729b9dbeda

How researchers see this paper

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

In Biomedical Engineering

1. Chao Jiang
2. Xu Han

In Civil and Structural Engineering

1. Chao Jiang
2. Bingjie Ni
3. Xu Han
4. C. Fu
5. Eric Li
6. Zhicheng He
7. Zhuomin Zhang
8. Xianghua Meng

In Statistics and Probability

1. Bingjie Ni
2. Chao Jiang
3. Xu Han
4. C. Fu
5. Q. F. Zhang
6. Y. Qian
7. Zhiliang Huang
8. Jiang Chao

Citations in the corpus

• Interval arithmetic operations for uncertainty analysis with correlated interval variables (2016, background): “22], which is sharper than the result [9, 25] calculated by Eq.”