Receptance-based antiresonant frequency assignment of an uncertain dynamic system using interval multiobjective optimization method

•A receptance-based interval multiobjective optimization method is proposed to realize the antiresonant frequency assignment of vibrating systems with uncertainty.•The interval confidence level of the interval optimization algorithm is redefined to suit inverse structural modification.•This study en...

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Vydané v:Journal of sound and vibration Ročník 529; s. 116944
Hlavní autori: Zhang, Lin, Zhang, Tao, Ouyang, Huajiang, Li, Tianyun
Médium: Journal Article
Jazyk:English
Vydavateľské údaje: Amsterdam Elsevier Ltd 07.07.2022
Elsevier Science Ltd
Predmet:
Antiresonant frequency assignment
Confidence intervals
Dynamical systems
Frequencies
Frequency assignment
Frequency response functions
Genetic algorithms
Multiple objective analysis
Numerical analysis
Operations research
Optimization
Parameters
Physical properties
Receptance method
Robustness (mathematics)
Structural modification
Uncertain dynamic system
Uncertainty
Vibration
Structural modification
Receptance method
Uncertain dynamic system
Antiresonant frequency assignment
ISSN:0022-460X, 1095-8568
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Shrnutí:•A receptance-based interval multiobjective optimization method is proposed to realize the antiresonant frequency assignment of vibrating systems with uncertainty.•The interval confidence level of the interval optimization algorithm is redefined to suit inverse structural modification.•This study enhances the chance of success in finding the right structure modification in practice.•Vibration experiments are performed to validate the proposed method. This study addresses the antiresonant frequency assignment problem of vibrating systems with uncertainty, which is solved using an interval multi-objective optimization method. The study accounts for several uncertain factors, including in the structural parameters and test data, and defines them as interval variables. The bounds of interval variation of the receptance (frequency response function or FRF) are determined from a small number of numerical or experimental results; thus, it is unnecessary to collect a large amount of data to construct the sample space. The antiresonant frequency assignment problem of uncertain systems is formulated as an interval multi-objective optimization. Optimal solutions (the structural modifications that assign the desired antiresonant frequency frequencies) are determined through the MI-NSGA-II algorithm proposed in this work. It employs the basic framework of the interval multi-objective genetic algorithm INSGA-II and redefines the interval confidence level to evaluate the merits and demerits between individual feasible solutions and improve the stability of INSGA-II. The obtained modifications not only accurately achieve the goal of antiresonant frequency assignment but also stably maximize the robustness of the antiresonant frequency frequencies after modifications. From the perspective of enhancing the applicability of the receptance method, the proposed method can overcome the problems of unsuccessful antiresonant frequency assignment due to measurement inaccuracies and the uncertainty of physical parameters to a certain extent. Numerical and experimental examples have been provided to demonstrate the effectiveness of the proposed method.
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ISSN:0022-460X
1095-8568
DOI:10.1016/j.jsv.2022.116944