 | | 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: | | 13653 |
| In Russian (Èçâ. ĐÀÍ. ̀̉̉): | | 8223
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| In English (Mech. Solids): | | 5430 |
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| Zhixin Yang, Xuehan Deng, Tao Huang, Xiaojun Xie, Honglei Xie, Zhen Wang, Peng He, and Shijiang Zhang, "Study on Large Deflection Deformation of Prestressed Circular Membranes under Non-Uniformly Distributed Loads," Mech. Solids. 60 (8), 6964-6975 (2025) |
| Year |
2025 |
Volume |
60 |
Number |
8 |
Pages |
6964-6975 |
| DOI |
10.1134/S0025654425606056 |
| Title |
Study on Large Deflection Deformation of Prestressed Circular Membranes under Non-Uniformly Distributed Loads |
| Author(s) |
Zhixin Yang (School of Civil Engineering and Architecture, Anhui University of Technology, Ma’anshan, Anhui Province, 243032 China;Engineering Research Center of Anhui Metallurgical Solid Waste Green Construction, Anhui University of Technology, Ma’anshan, Anhui Province, 243032 China; Anhui University of Technology Science Park Co., Ltd, Ma’anshan, Anhui Province, 243032 China)
Xuehan Deng (School of Civil Engineering and Architecture, Anhui University of Technology, Ma’anshan, Anhui Province, 243032 China)
Tao Huang (School of Architecture and Civil Engineering, Chongqing Metropolitan College of Science and Technology, Chongqing, 402167 China)
Xiaojun Xie (Highway Engineering Quality Monitoring Center of Banan District, Chongqing, 400055 China, AUTY26@126.com)
Honglei Xie (School of Civil Engineering and Architecture, Anhui University of Technology, Ma’anshan, Anhui Province, 243032 China)
Zhen Wang (School of Civil Engineering and Architecture, Anhui University of Technology, Ma’anshan, Anhui Province, 243032 China)
Peng He (School of Civil Engineering and Architecture, Anhui University of Technology, Ma’anshan, Anhui Province, 243032 China)
Shijiang Zhang (School of Civil Engineering and Architecture, Anhui University of Technology, Ma’anshan, Anhui Province, 243032 China) |
| Abstract |
In the existing studies, the solution of the axisymmetric deformation problem of the circular
membrane under the action of non-uniformly distributed loads is obtained by using the small-rotation-angle assumption, which makes the application of the existing research results have great limitations. In order to provide an analytical solution with a wider application range and higher accuracy,
this paper abandons the small-rotation-angle assumption and re-establishes the mathematical model
of prestressed circular membrane under non-uniformly distributed loads, and provides its analytical
solution. Through static equilibrium analysis, the out-of-plane equilibrium equation is established
and the small-rotation-angle assumption commonly used in existing studies is discarded. And then,
the governing equations and boundary conditions are presented by the elastic mechanics and an
axisymmetric problems of planar radial stretching. The analytical solution of the studied problem is
given by using the power series method. The validity and application scope of the obtained solutions
are analyzed by comparing with existing studies. Based on the specific numerical examples, the effects
of the small-rotation-angle assumption, the load change coefficient and initial stress on the deflection
deformation of circular membranes are analyzed. The results show that the solution obtained here
applicable to the case of both small and large rotation angles. Furthermore, the computational error of
the small-rotation-angle assumption decreases with the increase of initial stress. |
| Keywords |
Small-rotation-angle assumption, Circular membranes, Non-uniformly distributed loads, Non-linear differential equations, Power series method |
| Received |
20 October 2025 | Revised |
23 November 2025 | Accepted |
25 November 2025 |
| Link to Fulltext |
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