The transformation method for the simulation and analysis of systems with uncertain parameters

By Michael Hanss. Fuzzy Sets Syst., 2002

363 citations recorded by the source corpus.

How researchers see this paper

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

Uncertainties and dynamic problems of bolted joints and other fasteners (2005, methodology): “Hanss [90] also applied fuzzy arithmetic to simulate and analyze the friction interface between the sliding surfaces of a bolted joint.”
Interval uncertain method for multibody mechanical systems using Chebyshev inclusion functions (2013, methodology): “Other fuzzy-set methods for dynamics systems with fuzzy parameters can be found in reference [15].”
A Chebyshev interval method for nonlinear dynamic systems under uncertainty (2013, background): “It is noted [5–7] that smaller parameter uncertainties might be propagated in the design and thus result in relatively larger uncertainties in the dynamic response of nonlinear systems involving uncertain parameters.”
Fuzzy uncertainty propagation in composites using Gram–Schmidt polynomial chaos expansion (2016, methodology): “The Neumann expansion [18], the transformation method [19], and response surface based methods [20] are proposed for fuzzy analysis.”
An efficient methodology for robustness evaluation by advanced interval analysis using updated second-order Taylor series expansion (2011, neutral): “Similar works of the interval analysis for the static response or eigenvalue have been developed by many researchers [6-15].”