 | | Mechanics of Solids
A Journal of Russian Academy of Sciences | | Founded
in January 1966
Issued 6 times a year
Print ISSN 0025-6544
Online ISSN 1934-7936 |
Archive of Issues
| Total articles in the database: | | 13217 |
| In Russian (Èçâ. ÐÀÍ. ÌÒÒ): | | 8152
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| In English (Mech. Solids): | | 5065 |
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| Guobing Wang, Meiling Hua, Shixian Ren, Zhiwei Du, and He Zhang, "Analysis of the Effect of Nonlocal Factors on the Vibration Characteristics of Nonlocal Euler-Bernoulli Beams under Rotational Inertia on Viscoelastic Pasternak Foundations," Mech. Solids. 60 (2), 1340-1367 (2025) |
| Year |
2025 |
Volume |
60 |
Number |
2 |
Pages |
1340-1367 |
| DOI |
10.1134/S0025654424606918 |
| Title |
Analysis of the Effect of Nonlocal Factors on the Vibration Characteristics of Nonlocal Euler-Bernoulli Beams under Rotational Inertia on Viscoelastic Pasternak Foundations |
| Author(s) |
Guobing Wang (Geotechnical Engineering Research Institute, Xi’an University of Technology, Xi’an, Shaanxi, 710048 China, wgb6688@qq.com)
Meiling Hua (School of Civil Engineering, Xi’an Petroleum University, Xi’an,710061 China, 1479847431@qq.com)
Shixian Ren (School of Civil Engineering, Lanzhou Bowen Institute of Science and Technology, Lanzhou, 730100 China)
Zhiwei Du (Sinohydro Tenth Engineering Bureau Group Co., Chengdu, 610036 China)
He Zhang (School of Civil Engineering, Lanzhou Bowen Institute of Science and Technology, Lanzhou, 730100 China) |
| Abstract |
Currently, the beam vibration equations established based on the nonlocal elasticity theory
of Euler-Bernoulli beams not only do not take into account the effect of rotational inertia, but also
ignore the length interactions between the atomic lattices, so they cannot reflect the real mechanical
properties of the beams. Therefore, the main goal of this manuscript is to propose a novel computational method to accurately reveal the true mechanical behavior of beams with global coupling. Firstly,
the method has successfully constructed a physical model of nonlocal Euler-Bernoulli beam vibration
under the effect of rotational inertia on viscoelastic Pasternak foundations by considering the global
coupling mechanism through the length interaction between atomic lattices, and a degradation validation method for the modeling process is given. Secondly, the physical model is converted from a
time-domain problem to a frequency-domain problem by using the Fourier transform, and Hasselman’s complex modal synthesis method is introduced to successfully give the transfer function of the
spatial state of the nonlocal Euler-Bernoulli beam vibration model under the effect of rotational inertia
on a viscoelastic Pasternak foundation, as well as the analytical solution and the degradation validation
method of the model. degenerate verification. Finally, the mechanism of global coupling is revealed
intrinsically through the material point of the beam, and the effects of the nonlocal factor, foundation
shear coefficient, foundation stiffness coefficient, and damping coefficient on the vibration frequency
and amplitude of the nonlocal Euler-Bernoulli beam vibration under the action of rotational inertia
on a viscoelastic Pasternak foundation are analyzed. The theoretical and technical gaps of non-local
Euler-Bernoulli beam vibration under the action of rotational inertia on viscoelastic Pasternak foundations are bridged. The research results not only provide theoretical basis and practical guidance for
adjusting the parameters of nanobeams to enhance their stability and performance. Moreover, it can play a more important role in guiding the application of nanobeams in the fields of biosensors, cellmaterial surface interaction studies, and disease diagnosis and treatment. |
| Keywords |
nonlocal factor, Pasternak foundation, shear coefficient, stiffness coefficient, damping coefficient |
| Received |
08 December 2024 | Revised |
19 February 2025 | Accepted |
25 March 2025 |
| Link to Fulltext |
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