Near-elastic vibro-impact analysis by discontinuous transformations and averaging

Jon Juel Thomsen; Alexander Fidlin

doi:doi:10.1016/j.jsv.2007.09.007

Near-elastic vibro-impact analysis by discontinuous transformations and averaging

Jon Juel Thomsen, Alexander Fidlin

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Abstract

We show how near-elastic vibro-impact problems, linear or nonlinear in-between impacts, can be conveniently analyzed by a discontinuity-reducing transformation of variables combined with an extended averaging procedure. A general technique for this is presented, and illustrated by calculating transient or stationary motions for different harmonic oscillators with stops or clearances, and self-excited friction oscillators with stops or clearances First- and second-order analytical predictions are derived, and shown to agree to estimated accuracy with results of numerical simulation.

Original language	English
Journal	Journal of Sound and Vibration
Volume	311
Issue number	1-2
Pages (from-to)	386-407
ISSN	0022-460X
DOIs	https://doi.org/doi:10.1016/j.jsv.2007.09.007
Publication status	Published - 2008

Keywords

non-linear
vibrations
vibro-impact

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abstract = "We show how near-elastic vibro-impact problems, linear or nonlinear in-between impacts, can be conveniently analyzed by a discontinuity-reducing transformation of variables combined with an extended averaging procedure. A general technique for this is presented, and illustrated by calculating transient or stationary motions for different harmonic oscillators with stops or clearances, and self-excited friction oscillators with stops or clearances First- and second-order analytical predictions are derived, and shown to agree to estimated accuracy with results of numerical simulation.",

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AB - We show how near-elastic vibro-impact problems, linear or nonlinear in-between impacts, can be conveniently analyzed by a discontinuity-reducing transformation of variables combined with an extended averaging procedure. A general technique for this is presented, and illustrated by calculating transient or stationary motions for different harmonic oscillators with stops or clearances, and self-excited friction oscillators with stops or clearances First- and second-order analytical predictions are derived, and shown to agree to estimated accuracy with results of numerical simulation.

KW - non-linear

KW - vibrations

KW - vibro-impact

U2 - doi:10.1016/j.jsv.2007.09.007

DO - doi:10.1016/j.jsv.2007.09.007

M3 - Journal article

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EP - 407

JO - Journal of Sound and Vibration

JF - Journal of Sound and Vibration

IS - 1-2

ER -

Near-elastic vibro-impact analysis by discontinuous transformations and averaging

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