Skip to Main content Skip to Navigation
Journal articles

Nonlinear Normal Modes of Strongly Nonlinear Periodically Excited Piecewise Linear Systems

Abstract : A method for the numerical analysis of nonlinear normal modes of forced vibrations in strongly non-linear systems with piecewise linear elastic characteristics is proposed. The approach is based on the combination of the Shaw–Pierre method of nonlinear normal modes with the Rauscher technique. As a result of application of this approach, the nonautonomous piecewise linear system is transformed into an autonomous system. For this system, we determine the Shaw–Pierre nonlinear normal modes. We also study the nonlinear torsional vibrations of the power transmission in a three-cylinder transport engine.
Complete list of metadata

Cited literature [20 references]  Display  Hide  Download

https://hal.archives-ouvertes.fr/hal-01580816
Contributor : Mathias Legrand <>
Submitted on : Saturday, September 2, 2017 - 6:40:43 PM
Last modification on : Thursday, October 18, 2018 - 8:50:03 PM
Long-term archiving on: : Sunday, December 3, 2017 - 12:14:33 PM

File

BVUKVA.pdf
Files produced by the author(s)

Licence


Distributed under a Creative Commons Attribution 4.0 International License

Identifiers

Citation

Boris Uspensky, Konstantin Avramov. Nonlinear Normal Modes of Strongly Nonlinear Periodically Excited Piecewise Linear Systems. Journal of Mathematical Sciences, Springer Verlag (Germany), 2017, 279, ⟨10.1016/j.jsv.2003.11.031⟩. ⟨hal-01580816⟩

Share

Metrics

Record views

258

Files downloads

295