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Optimizing DVA placement using evolutionary algorithms for dynamic beam loading Cover

Optimizing DVA placement using evolutionary algorithms for dynamic beam loading

Studia Geotechnica et Mechanica
Volume 47 (2025): Issue 2 (June 2025)
By: Monika Podwórna and  Jacek Grosel  
Open Access
|May 2025

Figures & Tables

Figure 1:

The model of the load.
The model of the load.

Figure 2:

The model of the analyzed system (na=2).
The model of the analyzed system (na=2).

Figure 3:

The basic structure of genetic algorithms.
The basic structure of genetic algorithms.

Figure 4:

The scheme of the genetic algorithm.
The scheme of the genetic algorithm.

Figure 5:

The Δ plot in the case of: a) E[w(0.5L,t)], b) σ[(0.5L,t)]
The Δ plot in the case of: a) E[w(0.5L,t)], b) σ[(0.5L,t)]

Figure 6.

The optimal position of two absorbers xai∈〈0.25L;0.75L〉 for two different directions of traffic moving with the constant velocity v=0.8 vcr for the adjustment function – the minimum of the expected value of deflection functions in the middle span of the bridge’s beam E[w].
The optimal position of two absorbers xai∈〈0.25L;0.75L〉 for two different directions of traffic moving with the constant velocity v=0.8 vcr for the adjustment function – the minimum of the expected value of deflection functions in the middle span of the bridge’s beam E[w].

Figure 7:

The optimal parameter κai=ωai/ωs of two absorbers for two different directions of traffic moving with the constant velocity v=0.8 vcr for the adjustment function – the minimum of the expected value of deflection functions in the middle span of the bridge’s beam E[w].
The optimal parameter κai=ωai/ωs of two absorbers for two different directions of traffic moving with the constant velocity v=0.8 vcr for the adjustment function – the minimum of the expected value of deflection functions in the middle span of the bridge’s beam E[w].

Figure 8:

The adjustment function – the minimum of the expected value of deflection functions in the middle span of the bridge’s beam E[w].
The adjustment function – the minimum of the expected value of deflection functions in the middle span of the bridge’s beam E[w].

Figure 9.

The optimal position of two absorbers xai∈〈0.25L;0.75L〉 for two different directions of traffic moving with the constant velocity v=0.8 vcr for the adjustment function – the minimum of the standard deviation of deflection functions in the middle span of the bridge’s beam σ[w].
The optimal position of two absorbers xai∈〈0.25L;0.75L〉 for two different directions of traffic moving with the constant velocity v=0.8 vcr for the adjustment function – the minimum of the standard deviation of deflection functions in the middle span of the bridge’s beam σ[w].

Figure 10:

The optimal parameter κai=ωai/ωs of two absorbers for two different directions of traffic moving with the constant velocity v=0.8 vcr for the adjustment function – the minimum of the standard deviation of deflection functions in the middle span of the bridge’s beam σ[w].
The optimal parameter κai=ωai/ωs of two absorbers for two different directions of traffic moving with the constant velocity v=0.8 vcr for the adjustment function – the minimum of the standard deviation of deflection functions in the middle span of the bridge’s beam σ[w].

Figure 11:

The adjustment function – the minimum of standard deviation of the deflection functions in the middle span of the bridge’s beam σ[w].
The adjustment function – the minimum of standard deviation of the deflection functions in the middle span of the bridge’s beam σ[w].

Figure 12:

Comparison of the system’s response when applying one and two absorbers for different velocity v=0.7 ÷2.4 vcr for the adjustment function – the minimum of the standard deviation.
Comparison of the system’s response when applying one and two absorbers for different velocity v=0.7 ÷2.4 vcr for the adjustment function – the minimum of the standard deviation.

Figure 13:

The optimal position of one or two absorbers xai∈〈0.25L;0.75L〉 for different velocity v=0.7 ÷2.4 vcr for the adjustment function – the minimum of the standard deviation of deflection functions in the middle span of the bridge’s beam σ[w].
The optimal position of one or two absorbers xai∈〈0.25L;0.75L〉 for different velocity v=0.7 ÷2.4 vcr for the adjustment function – the minimum of the standard deviation of deflection functions in the middle span of the bridge’s beam σ[w].
DOI: https://doi.org/10.2478/sgem-2025-0011 | Journal eISSN: 2083-831X | Journal ISSN: 0137-6365
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Language: English
Page range: 167 - 178
Submitted on: Oct 3, 2024
|
Accepted on: Mar 28, 2025
|
Published on: May 29, 2025
Published by: Wroclaw University of Science and Technology
In partnership with: Paradigm Publishing Services
Publication frequency: 4 issues per year
Keywords:
Dynamic Vibration Absorber,
Stochastic Load,
Genetic Algorithm
Related subjects:
Geosciences,
Geosciences, other,
Materials sciences,
Composites,
Porous materials,
Physics,
Mechanics and fluid dynamics

© 2025 Monika Podwórna, Jacek Grosel, published by Wroclaw University of Science and Technology
This work is licensed under the Creative Commons Attribution 4.0 License.

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