 | | 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: | | 12949 |
| In Russian (Èçâ. ÐÀÍ. ÌÒÒ): | | 8096
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| In English (Mech. Solids): | | 4853 |
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| Feng Kai and Wang Ling, "The Free Vibration Characteristics of Variable Cross-Section Beams under Different Profiles," Mech. Solids. 59 (4), 2617-2627 (2024) |
| Year |
2024 |
Volume |
59 |
Number |
4 |
Pages |
2617-2627 |
| DOI |
10.1134/S0025654424604269 |
| Title |
The Free Vibration Characteristics of Variable Cross-Section Beams under Different Profiles |
| Author(s) |
Feng Kai (School of Architecture and Civil Engineering, Xihua University, Chengdu, 610039 China)
Wang Ling (School of Architecture and Civil Engineering, Xihua University, Chengdu, 610039 China, wling0921@sina.com) |
| Abstract |
Based on Euler beam theory and Hamilton’s principle, the free vibration control equation
for the variable cross-section beam was established. Galerkin discretization and eigenvalue methods
were used to solve the natural frequencies of beams under simply supported-simply supported (SS)
and simply-clamped supported (SC) boundary conditions. The vibration characteristics of beams with
annular, rectangular frame and rectangular cross-section at different cross-sectional parameters
(taper, thickness, and aspect ratio) are explored. The calculation example shows that the natural frequency of the beam is closely related to changes in taper. Especially for rectangular cross-section, the
change in taper in the height direction of the beam has a large effect on the frequency, while the change
in taper in the width direction has a smaller effect. Increasing the outer thickness of the annular cross-section beam has a different effect on the beam’s natural frequency than the inner thickness, while
increasing the thickness of the rectangular frame cross-section beams will result in a decrease in the
natural frequency of the beams. Increasing the aspect ratio of a rectangular variable cross-section section beam increases the natural frequency of the beam. Under the same cross-sectional area, the rectangular frame cross-section beam frequencies are higher than other cross-section beams. |
| Keywords |
Variable cross-section beam, Free vibration, Different cross-sectional shapes, Natural frequency |
| Received |
11 June 2024 | Revised |
26 July 2024 | Accepted |
06 September 2024 |
| Link to Fulltext |
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