Maximum entropy method for estimation of response distribution of nonlinear systems subjected to non-white random excitation
Author:
Affiliation:
1. Department of Mechanical and Environmental Informatics, Graduate School of Information Science and Engineering, Tokyo Institute of Technology
Publisher
Japan Society of Mechanical Engineers
Link
https://www.jstage.jst.go.jp/article/transjsme/82/840/82_16-00129/_pdf
Reference18 articles.
1. Alspach, D.L. and Sorenson, H.W., Nonlinear bayesian estimation using Gaussian sum approximation, IEEE Transactions on Automatic Control, Vol.17, No.4 (1972), pp. 439-448.
2. Caughey, T. K., Derivation and application of the fokker-planck Equation to Discrete Nonlinear Dynamic Systems Subjected to White Random Excitation, The Journal of the Acoustical Society of America, Vol.35, No.11 (1963), pp. 1683-1692.
3. Chao, L., Wei, X., Liang, W. and Dong-Xi, L., Stochastic responses of Duffing Van der Pol vibro-impact system under additive colored noise excitation. Chinese Physics B, Vol.22, No.11 (2013).
4. Hampl, N.C. and Schuller, G.I., Probability densities of the response of nonlinear structures under stochastic dynamic excitation. Probabilistic Engineering Mechanics, Vol.4, No.1 (1989), pp. 2-9.
5. Inagaki, M., Non-Linear Vibration Analysis of High Speed Rotating Machinery, R&D Review of Toyota CRDL, Vol.30, No.1(1995), pp.1-13(in Japanese).
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