Dispersion characteristics and frequency-dependent attenuation of bending waves propagating in a beam, lying on a generalized viscoelastic foundation
UDC
539.3EDN
SCXSDQDOI:
10.31429/vestnik-23-2-69-76Abstract
The problem of the propagation of flexural waves in an infinite Bernoulli–Euler beam lying on a generalized viscoelastic foundation is considered. The peculiarity of the model is that it takes into account both longitudinal and transverse components of elasticity and damping of the base, which makes it possible to more adequately describe the response of real mechanical systems. The purpose of the work is to obtain and analyze the dispersion equation in the case of a complex wave number, determine the phase and group velocities, the coefficient of spatial frequency-dependent attenuation, as well as study the influence of damping parameters on the formation of forbidden frequency zones and anomalous dispersion effects.
Keywords:
Euler-Bernoulli beam, generalized viscoelastic foundation, bending wave, dispersion, frequency-dependent attenuationFunding information
The work carried out within the state assignment for fundamental scientific research for 2024-2026 (topic FFUF-2024-2026-0031, No. 1023032800130-3-2.3.2).
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Dates
Submitted
March 24, 2026
Accepted
June 1, 2026
Published
June 24, 2026
How to Cite
[1]
Lenin, A.O., Dispersion characteristics and frequency-dependent attenuation of bending waves propagating in a beam, lying on a generalized viscoelastic foundation. Ecological Bulletin of Research Centers of the Black Sea Economic Cooperation, 2026, т. 23, № 2, pp. 69–76. DOI: 10.31429/vestnik-23-2-69-76
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