Optimization of nonlinear structural resonance using the incremental harmonic balance method

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Abstract

We present an optimization procedure for tailoring the nonlinear structural resonant response with time-harmonic loads. A nonlinear finite element method is used for modeling beam structures with a geometric nonlinearity and the incremental harmonic balance method is applied for accurate nonlinear vibration analysis. An optimization procedure based on a gradient-based algorithm is developed and we use the adjoint method for efficient computation of design sensitivities. We consider several examples in which we find optimized beam width distributions that minimize or maximize fundamental or super-harmonic resonant responses.
Original languageEnglish
JournalJournal of Sound and Vibration
Volume334
Pages (from-to)239–254
ISSN0022-460X
DOIs
Publication statusPublished - 2015

Keywords

  • Optimization
  • Nonlinear vibration
  • Finite element
  • Harmonic balance
  • Adjoint method

Cite this

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title = "Optimization of nonlinear structural resonance using the incremental harmonic balance method",
abstract = "We present an optimization procedure for tailoring the nonlinear structural resonant response with time-harmonic loads. A nonlinear finite element method is used for modeling beam structures with a geometric nonlinearity and the incremental harmonic balance method is applied for accurate nonlinear vibration analysis. An optimization procedure based on a gradient-based algorithm is developed and we use the adjoint method for efficient computation of design sensitivities. We consider several examples in which we find optimized beam width distributions that minimize or maximize fundamental or super-harmonic resonant responses.",
keywords = "Optimization, Nonlinear vibration, Finite element, Harmonic balance, Adjoint method",
author = "Suguang Dou and Jensen, {Jakob S{\o}ndergaard}",
year = "2015",
doi = "10.1016/j.jsv.2014.08.023",
language = "English",
volume = "334",
pages = "239–254",
journal = "Journal of Sound and Vibration",
issn = "0022-460X",
publisher = "Elsevier",

}

Optimization of nonlinear structural resonance using the incremental harmonic balance method. / Dou, Suguang; Jensen, Jakob Søndergaard.

In: Journal of Sound and Vibration, Vol. 334, 2015, p. 239–254.

Research output: Contribution to journalJournal articleResearchpeer-review

TY - JOUR

T1 - Optimization of nonlinear structural resonance using the incremental harmonic balance method

AU - Dou, Suguang

AU - Jensen, Jakob Søndergaard

PY - 2015

Y1 - 2015

N2 - We present an optimization procedure for tailoring the nonlinear structural resonant response with time-harmonic loads. A nonlinear finite element method is used for modeling beam structures with a geometric nonlinearity and the incremental harmonic balance method is applied for accurate nonlinear vibration analysis. An optimization procedure based on a gradient-based algorithm is developed and we use the adjoint method for efficient computation of design sensitivities. We consider several examples in which we find optimized beam width distributions that minimize or maximize fundamental or super-harmonic resonant responses.

AB - We present an optimization procedure for tailoring the nonlinear structural resonant response with time-harmonic loads. A nonlinear finite element method is used for modeling beam structures with a geometric nonlinearity and the incremental harmonic balance method is applied for accurate nonlinear vibration analysis. An optimization procedure based on a gradient-based algorithm is developed and we use the adjoint method for efficient computation of design sensitivities. We consider several examples in which we find optimized beam width distributions that minimize or maximize fundamental or super-harmonic resonant responses.

KW - Optimization

KW - Nonlinear vibration

KW - Finite element

KW - Harmonic balance

KW - Adjoint method

U2 - 10.1016/j.jsv.2014.08.023

DO - 10.1016/j.jsv.2014.08.023

M3 - Journal article

VL - 334

SP - 239

EP - 254

JO - Journal of Sound and Vibration

JF - Journal of Sound and Vibration

SN - 0022-460X

ER -