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Attenuation bands for flexural–torsional vibrations of locally resonant Vlasov beams
https://orcid.org/0000-0001-9464-1076
Abstract In this paper, a study on flexural–torsional vibrations of finite beams with a large number of resonators periodically attached along the length is presented. Emphasis is given in determining bandgaps, defined as frequency ranges free of resonances. The structural model is based on a modified Vlasov theory that incorporates the resonators effect by means of sectional inertial properties depending on the excitation frequency. Analyzing these last properties, the mechanism of weak and strong bandgap formation is enlightened. Analytical formulas for the edge frequencies of bandgaps are obtained. Also, an exact analytical solution for the free and forced vibration of simply supported beams is presented. This approach allows exploring, from another point of view, the location of attenuation bands.
Highlights A homogenized thin-walled beam model with a large number of local resonators is developed. Flexural–torsional vibrational bandgaps due to the effect of the local resonance are investigated. Analytical formulas for determining edge frequencies of bandgaps are presented. Analytical solutions for the free and forced vibration of locally resonant Vlasov beams are obtained.
Attenuation bands for flexural–torsional vibrations of locally resonant Vlasov beams
https://orcid.org/0000-0001-9464-1076
Abstract In this paper, a study on flexural–torsional vibrations of finite beams with a large number of resonators periodically attached along the length is presented. Emphasis is given in determining bandgaps, defined as frequency ranges free of resonances. The structural model is based on a modified Vlasov theory that incorporates the resonators effect by means of sectional inertial properties depending on the excitation frequency. Analyzing these last properties, the mechanism of weak and strong bandgap formation is enlightened. Analytical formulas for the edge frequencies of bandgaps are obtained. Also, an exact analytical solution for the free and forced vibration of simply supported beams is presented. This approach allows exploring, from another point of view, the location of attenuation bands.
Highlights A homogenized thin-walled beam model with a large number of local resonators is developed. Flexural–torsional vibrational bandgaps due to the effect of the local resonance are investigated. Analytical formulas for determining edge frequencies of bandgaps are presented. Analytical solutions for the free and forced vibration of locally resonant Vlasov beams are obtained.
Attenuation bands for flexural–torsional vibrations of locally resonant Vlasov beams
https://orcid.org/0000-0001-9464-1076
Abstract In this paper, a study on flexural–torsional vibrations of finite beams with a large number of resonators periodically attached along the length is presented. Emphasis is given in determining bandgaps, defined as frequency ranges free of resonances. The structural model is based on a modified Vlasov theory that incorporates the resonators effect by means of sectional inertial properties depending on the excitation frequency. Analyzing these last properties, the mechanism of weak and strong bandgap formation is enlightened. Analytical formulas for the edge frequencies of bandgaps are obtained. Also, an exact analytical solution for the free and forced vibration of simply supported beams is presented. This approach allows exploring, from another point of view, the location of attenuation bands.
Highlights A homogenized thin-walled beam model with a large number of local resonators is developed. Flexural–torsional vibrational bandgaps due to the effect of the local resonance are investigated. Analytical formulas for determining edge frequencies of bandgaps are presented. Analytical solutions for the free and forced vibration of locally resonant Vlasov beams are obtained.
Attenuation bands for flexural–torsional vibrations of locally resonant Vlasov beams
Dominguez, Patricia N. (author) / Cortínez, Víctor H. (author) / Piovan, Marcelo T. (author)
Thin-Walled Structures ; 181
2022-09-01
Article (Journal)
Electronic Resource
English
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