•A unique analytical solution available for biaxially excited Jeffcott rotor system was used to validate the proposed advanced path integration technique.•Dynamic system stability and extreme response statistics have been studied.•Novel improvements to an existing path integration scheme have been discussed (e.g. using MC pre-estimated initial PDF).•Numerical results were in a good agreement with analytical results, therefore main contribution of this paper is a 100% reliable and independent confirmation of the path integration technique as a tool for assessing the dynamics of the kind of stochastic mechanical models considered in this paper.
International Journal of Mechanical Sciences – Elsevier
Published: Jul 1, 2018
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