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- W2511736031 abstract "The time moment of appearance of zero relative velocity during displacements of contacting bodies in dynamical systems with dry friction can be precisely computed. In this work, there is proposed an event driven numerical scheme allowing for integration of discontinuous differential equations. The study shows, that a direct application of standard integration methods may produce some inaccurate estimations of stick-slip transitions observed during frictional relative displacements. Results of numerical computations obtained by means of the proposed method of approximation of one degree-of-freedom dynamical system with dry friction confirm good accuracy of the determination of sticking phases. By comparison of two apparently similar solutions there has been shown and explained a significant difference in their smoothness and accuracy of estimation of the sticking phase’s boundaries. The" @default.
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- W2511736031 date "2014-01-01" @default.
- W2511736031 modified "2023-10-17" @default.
- W2511736031 title "An approximation method for the numerical solution of planar discontinuous dynamical systems with stick-slip friction" @default.
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- W2511736031 doi "https://doi.org/10.12988/ams.2014.44282" @default.
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