Abstract
We show that near-elastic vibro-impact problems can be conveniently analyzed by a discontinuity-reducing transformation of variables, combined with an extended averaging procedure that allows small discontinuities. 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 |
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| Place of Publication | Technical University of Denmark |
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| Publisher | DCAMM, Technical University of Denmark |
| Number of pages | 23 |
| Publication status | Published - 2006 |
Keywords
- nonlinear oscillations; vibro-impact; averaging; discontinuous transformation
Cite this
Thomsen, J. J. (2006). Near-elastic vibro-impact analysis by discontinuous transformations and averaging: DCAMM Report 720. DCAMM, Technical University of Denmark.