Modeling Multibody Systems with Uncertainties. Part I: Theoretical and Computational Aspects

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Interval uncertain method for multibody mechanical systems using Chebyshev inclusion functions (2013, methodology): “So far PC may be the only method that is practically applicable to solve uncertain multibody dynamics governed by DAEs [31, 32].”
Modelling of suspension components in a rail vehicle dynamics context (2011, methodology): “To this end, the use of Monte Carlo methods 3 , FORM/SORM methods and the generalised polynomial chaos theory 132 133 has been proposed, but a well-established procedure is not available yet, and more research work and alternative approaches to treat the problem are likely to appear in the near”
Nonlinear Propagation of Orbit Uncertainty Using Non-Intrusive Polynomial Chaos (2013, methodology): “Although not yet applied in astrodynamics, previous research using PC includes uncertainty quantification in engineering fields such as: fluid dynamics [11–18], solid mechanics [19–22], multibody dynamics [23,24], high-order state estimation [25,26], and many other applications.”