Engineering Mechanics

Proceedings Vol. 26 (2020)

ENGINEERING MECHANICS 2020

Copyright © 2020 Brno University of Technology Institute of Solid Mechanics, Mechatronics and Biomechanics

 

Hadraba P., Svobodová M., Lin H., Hadaš Z.
pages 178 - 181, full text

In the world of nonlinear dynamics, it is necessary to consider the fact that a small change of input parameter can cause large changes in results. However, several methods deal with uncertainty. This paper compares two methods for uncertainty analysis, polynomial chaos expansion, and Monte Carlo method. The analysis was performed on the structure of the machine tool slide. The two main components - linear roller guideway with preload and linear ball screw, they both present with the nonlinear characteristic. The stiffness of these components is dependent on the deformation as well as the direction of load. The results of both methods match reasonably in a stable condition. For the unstable machining should be surrogated model improve for further analysis. The main advantage of PCE is a shorter computation time in contrast to timeconsuming MC. This approach enables not only the stimulation of the machining process in local conditions but in the future, it might be also extended for the analysis of machine tool stability in the full condition range.

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All papers were reviewed by members of the scientific committee.