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ISSN: 1820-0206
First published in
1950
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doi:10.5937/str2102036M
Vol. 71, No.2
(2021), Pages: 36-40
Impressum
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Transverse Vibration Analysis of a Rayleigh Double-Beam System With
a Keer Middle Layer Subjected to Compressive Axial Load
Branislav
Milenković
Danilo Karličić
Mladen Krstić
Đorđe Jovaović
Free transverse
vibration of a Rayleigh double-beam system with the effect of
compressive axial load with a Keer layer in-between is studied in
this paper. It is assumed that the two beams of the system are
continuously joined by the Keer layer. The equations of the motion
for this system are described by a set of three homogenous
differential equations. The classic Bernoulli-Fourier method was
used for solving this system of differential equations. In the
research found in literature on the subject of the Keer model, the
most common methods used are the theories of Timoshenko and
Euler-Bernoulli. It is for that exact reason that the research goal
of this paper is determining analytical and numerical
characteristics (natural frequency, associated amplitude ratio) of
the considered model by applying the Rayleigh theory. What is also
researched is the effect of elastic in-between layer on system’s
frequency and amplitudes. The numerical analysis of the system was
performed using software tools. The numerical results obtained are
shown in the form of a plot diagram. Presented numerical results in
this paper confirm those obtained in the literature.
Key words:
natural frequency, Rayleigh double-beam, compressive axial load,
Keer layer.
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