Nonlinear dynamics, bifurcations, and multi-stability in a vibro-impact system with geometric and multi-segmented freeplay nonlinearities

Saunders, B. E.; Vasconcellos, R.; Kuether, R. J.; Abdelkefi, A.

doi:10.1007/s11071-023-08823-x

Nonlinear dynamics, bifurcations, and multi-stability in a vibro-impact system with geometric and multi-segmented freeplay nonlinearities

Journal Article · Sat Sep 09 00:00:00 EDT 2023 · Nonlinear Dynamics

DOI:https://doi.org/10.1007/s11071-023-08823-x· OSTI ID:2311330

Saunders, B. E. ^[1]; Vasconcellos, R. ^[2]; Kuether, R. J. ^[3]; ^[1]

New Mexico State Univ., Las Cruces, NM (United States)
São Paulo State University (UNESP), São João da Boa Vista (Brazil)
Sandia National Laboratories (SNL-NM), Albuquerque, NM (United States)

Freeplay is a common type of piecewise-smooth nonlinearity in dynamical systems, and it can cause discontinuity-induced bifurcations and other behaviors that may bring about undesirable and potentially damaging responses. Prior research has focused on piecewise-smooth systems with two or three distinct regions, but less attention is devoted to systems with more regions (i.e., multi-segmented systems). In this work, numerical analysis is performed on a dynamical system with multi-segmented freeplay, in which there are four stiffness transitions and five distinct regions in the phase space. Here, the effects of the multi-segmented parameters are studied through bifurcation diagram evolution along with induced multi-stable behavior and different bifurcations. These phenomena are interrogated through various tools, such as harmonic balance, basins of attraction, phase planes, and Poincaré section analysis. Results show that among the three multi-segmented parameters, the asymmetry has the strongest effect on the response of the system.

View Accepted Manuscript (DOE)

Research Organization:: Sandia National Laboratories (SNL-NM), Albuquerque, NM (United States)

Sponsoring Organization:: USDOE National Nuclear Security Administration (NNSA); USDOE Laboratory Directed Research and Development (LDRD) Program; CAPES Foundation

Grant/Contract Number:: NA0003525

OSTI ID:: 2311330

Report Number(s):: SAND--2023-09010J

Journal Information:: Nonlinear Dynamics, Journal Name: Nonlinear Dynamics Journal Issue: 20 Vol. 111; ISSN 0924-090X

Publisher:: SpringerCopyright Statement

Country of Publication:: United States

Language:: English

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42 ENGINEERING
Contact
freeplay
multi-segmented
multi-stable
nonlinear dynamics

Nonlinear dynamics, bifurcations, and multi-stability in a vibro-impact system with geometric and multi-segmented freeplay nonlinearities

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