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Empirical Modeling of Modal Damping Ratio of Impact-Damped Flexible Beams by GEP

  • Research Article - Civil Engineering
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Abstract

In this paper, the empirical models for predicting the modal damping ratio (\(\xi )\) of impact-damped flexible beams (IDFB) via gene expression programming (GEP) are proposed. The experimental data used in training and testing phases of the GEP are obtained from the literature. The training and testing sets of the empirical models for the GEP are chosen from the database. The empirical models are developed for predicting the \(\xi \) of IDFB as functions of gap between vibrating mechanical system and impact damper (c), mass of particle (m), modal amplitude at the location of the damper (\({\varPhi }_\mathrm{d} )\), frequency of excitation (f), and peak value of the imaginary part of the frequency response functions (\(F_\mathrm{I} )\). The results of empirical models are compared with the results of experimental study and equation given in the literature. The results of empirical models for the \(\xi \) are in good agreement with the experimental results according to the results of equation given in the literature. The results of empirical models also reveal that GEP technique exhibits better performance to predict the \(\xi \) of IDFB.

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Authors and Affiliations

  1. Department of Civil Engineering, Ömer Halisdemir University, 51245, Niğde, Turkey

    Metin Hakan Severcan

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  1. Metin Hakan Severcan
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Correspondence to Metin Hakan Severcan.

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Severcan, M.H. Empirical Modeling of Modal Damping Ratio of Impact-Damped Flexible Beams by GEP. Arab J Sci Eng 43, 1735–1745 (2018). https://doi.org/10.1007/s13369-017-2715-8

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  • DOI: https://doi.org/10.1007/s13369-017-2715-8

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