 | | 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: | | 11262 |
| In Russian (Èçâ. ÐÀÍ. ÌÒÒ): | | 8011
|
| In English (Mech. Solids): | | 3251 |
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| << Previous article | Volume 58, Issue 2 / 2023 | Next article >> |
| Dan Li, Xinming Lu, Longquan Zhou, Hongjuan Wang, and Xingli Zhang, "Reciprocal Method of Work for Solving the Bending of Rectangular Thin Plate on Elastic Foundation under the Combined Action of Lateral Loads and Forces in Middle Plane of the Plate," Mech. Solids. 58 (2), 659-669 (2023) |
| Year |
2023 |
Volume |
58 |
Number |
2 |
Pages |
659-669 |
| DOI |
10.3103/S0025654422601744 |
| Title |
Reciprocal Method of Work for Solving the Bending of Rectangular Thin Plate on Elastic Foundation under the Combined Action of Lateral Loads and Forces in Middle Plane of the Plate |
| Author(s) |
Dan Li (College of Computer Science and Engineering, Shandong University of Science and Technology, Qingdao, Shandong, China, happylidan615@163.com)
Xinming Lu (College of Computer Science and Engineering, Shandong University of Science and Technology, Qingdao, Shandong, China; Shandong Lionking Software Co., Ltd., Taian, Shandong, China)
Longquan Zhou (Shandong Lionking Software Co., Ltd., Taian, Shandong, China)
Hongjuan Wang (College of Intelligent Equipment, Shandong University of Science and Technology, Taian, Shandong, China)
Xingli Zhang (College of Computer Science and Engineering, Shandong University of Science and Technology, Qingdao, Shandong, China) |
| Abstract |
The reciprocal method of work is used to solve the bending problems of thin plate on elastic foundation under the combined action of lateral loads and forces in middle plane of the plate. The basic system is a simply supported thin plate on elastic foundation under combined action of lateral loads and forces in the middle plane of the plate. Two expressions of the deflection surface equation of the basic system are derived, the first is the double trigonometric function, and the second is the mixture of hyperbolic function and trigonometric function. The practical systems consist of thin plates on elastic foundation constrained by different boundary conditions. The deflection surface equation of the practical system is solved by using the reciprocal method of work between the practical system and the basic system. Compared with the finite element method with ANSYS software, the solution error is less than 5%, which satisfies the requirement of maximum error. This indicates that application of the reciprocal method of work is correct for solving the problem. |
| Keywords |
reciprocal method of work, basis system, trigonometric function, hyperbolic function |
| Received |
05 December 2022 | Revised |
17 January 2023 | Accepted |
20 January 2023 |
| Link to Fulltext |
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