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Deformations and
internal forces in arches under a concentrated force
László Péter Kiss, Pusta Jalalova and Ziya Mehdiyev |
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Vol. 18 (2023), No. 4, 551–565
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Abstract |
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The current work intends to establish a new geometrically nonlinear model to find the typical fields (displacements, inner forces) in circular shallow arches under the action of a central concentrated load. Nonlinearities are taken into account through the rotations. The primary unknown is the displacement field. The principle of virtual work is used to find the static equilibrium equations. The analytical model is capable of dealing with not only homogeneous but also with nonhomogeneous material distributions as long as the constitutive model is linearly elastic and isotropic. Comparisons with the linearized model are also performed to reveal the differences. |
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Keywords
arch, stress, displacement, elasticity
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Milestones
Received: 29 March 2022
Revised: 15 February 2023
Accepted: 14 April 2023
Published: 11 June 2023
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Authors |
| László Péter Kiss | |
| Institute of Applied Mechanics University of Miskolc Miskolc-Egyetemvaros Hungary |
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| Pusta Jalalova | |
| Institute of Material Science and
Technology University of Miskolc Miskolc-Egyetemvaros Hungary |
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| Ziya Mehdiyev | |
| Institute of Manufacturing
Science University of Miskolc Miskolc-Egyetemvaros Hungary |
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| © 2023 MSP (Mathematical Sciences Publishers). |
