A generalized approach for implicit time integration of piecewise linear/nonlinear systems

نویسندگان

چکیده

A generalized solution scheme using implicit time integrators for piecewise linear and nonlinear systems is developed. The characteristic has been well-discussed in previous studies, which the original problem transformed into complementarity problems (LCPs) then solved via Lemke algorithm each step. proposed scheme, instead, uses projection function to describe discontinuity dynamics equations, solves step equations obtained from integrator by semismooth Newton iteration. Compared with LCP-based new offers a more general choice allowing other nonlinearities governing equations. To assess its performances, several illustrative examples are solved. numerical solutions demonstrate that can not only predict satisfactory results systems, but also exhibits substantial efficiency advantages over when applied systems.

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ژورنال

عنوان ژورنال: International journal of mechanical system dynamics

سال: 2021

ISSN: ['2767-1399', '2767-1402']

DOI: https://doi.org/10.1002/msd2.12007