Modares Mechanical Engineering

Modares Mechanical Engineering

On Multi-Criteria Optimization of DVAs in Vibration Control of 2-DOF Systems: Parsimonious FRF Shaping of DVAs via a Singular Criterion and Genetic Algorithm Optimization

Articles in Press

Document Type : Original Article

Authors
Mahan Dashti Gohari
Mehdi Mohammadimehr
University of Kashan
10.48311/mme.2025.96920.0
Abstract
Conventional DVA optimization offers little direct control over shaping the frequency response, and weak parameter screening lets unnecessary variables persist, leading to over-parameterized designs. This paper presents a unique criterion (C_s) that integrates normalized, weighted objectives for peak positions, peak amplitudes, bandwidth, and other factors, incorporating a specific sparsity term that mitigates the inclusion of superfluous parameters. The framework is implemented in the DeVana software, which was developed by the authors, and it is utilized for a fully coupled 1DOF–1DOF benchmark that includes a designated avoidance band within the frequency range of 1000 to 2000 Hz for the purpose of conducting a case study. The optimized DVA divides the baseline resonance into two narrow peaks at the band edges and attenuates the in-band response, while the majority of ν parameters approach zero, leaving only a limited set of β, λ, and μ active. Convergence was achieved at an optimal fitness of 0.001206. This fitness is composed of 40.8% from C_s, 34.7% from the sparsity penalty, and 24.5% from the target-accuracy term. Overall, combining the design goals into a single, interpretable objective enables direct FRF targeting and streamlined DVA synthesis, delivering rapid, criteria-satisfying tuning with only the minimal set of screened parameters
Keywords
Dynamic vibration absorber
Vibration control
Frequency response function shaping
Singular criterion
Multi criteria optimization

Subjects

Modares Mechanical Engineering

Articles in Press, Accepted Manuscript
Available Online from 24 November 2025