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Journal article

Optimization of nonlinear structural resonance using the incremental harmonic balance method

From

Department of Mechanical Engineering, Technical University of Denmark1

Solid Mechanics, Department of Mechanical Engineering, Technical University of Denmark2

Department of Electrical Engineering, Technical University of Denmark3

Acoustic Technology, Department of Electrical Engineering, Technical University of Denmark4

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.

Language: English
Year: 2015
Pages: 239-254
ISSN: 10958568 and 0022460x
Types: Journal article
DOI: 10.1016/j.jsv.2014.08.023
ORCIDs: Dou, Suguang and Jensen, Jakob Søndergaard

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