Dynamic behaviour of MDOF oscillators subjected to multiple visco-elastic contact constraints

Fadaee, M.; Yu, Shudong

doi:10.1016/j.ijmecsci.2017.06.040

Cited by 4 publications

(2 citation statements)

References 17 publications

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“…For piecewise linear systems, only Equation (23) needs to be solved iteratively, so their computational procedure is discussed separately.…”

Section: Formulationmentioning

confidence: 99%

“…Their main difficulty is to solve the implicit dynamics equations with piecewise characteristics at each time step. Yu 22 and Fadaee et al 23 proposed that piecewise linear equations can be transformed into equivalent linear complementarity problems (LCPs), 24 and then solved by the Lemke algorithm. They use the Bozzak–Newmark method 25 as the implicit integrator in the schemes.…”

Section: Introductionmentioning

confidence: 99%

See 1 more Smart Citation

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

Zhang

Zanoni

et al. 2021

Int Journal of Mech Sys Dyn

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

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“…For piecewise linear systems, only Equation (23) needs to be solved iteratively, so their computational procedure is discussed separately.…”

Section: Formulationmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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

Zhang

Zanoni

et al. 2021

Int Journal of Mech Sys Dyn

View full text Add to dashboard Cite

show abstract

A Generalized Solution Scheme Using an Implicit Time Integrator for Piecewise Linear and Nonlinear Systems

Zhang

Zanoni

et al. 2021

NODYCON Conference Proceedings Series

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Chaos in impact oscillators not in vain: Dynamics of new mass excited oscillator

et al. 2020

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This work explores complex dynamics of a new mass excited impact oscillator reported in Wiercigroch et al. (Nonlinear Dyn 99:323–339, 2020) both experimentally and numerically in the context of development of chaos theory and its applications. The parameters of the rig were characterised and are presented in the paper. To improve quality of the recorded phase portraits, a new technique for processing of the experimental data allowing to reduce the influence of noise and to obtain clear orbits especially for higher periods is proposed. A comparison with the previous studies on the base excited impact oscillator confirms that the rig is much more accurate as well as it has capability to generate a wide range of excitation patterns. It is demonstrated that a precise control of the excitation is achieved by changing the coil current. It is also shown that the rig is able to capture co-existent attractors and multi-stability by reproducing various predicted numerical responses, which has not been possible before. The results obtained using a simple impact oscillator model are in a good agreement with the experimental results, which indicates that the rig can be used for further fundamental studies of impact phenomena including grazing. It can also serve as a tool to study nonlinear control including bifurcation control and control of co-existing orbits.

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Dynamic behaviour of MDOF oscillators subjected to multiple visco-elastic contact constraints

Cited by 4 publications

References 17 publications

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

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

A Generalized Solution Scheme Using an Implicit Time Integrator for Piecewise Linear and Nonlinear Systems

Chaos in impact oscillators not in vain: Dynamics of new mass excited oscillator

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