 | | 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: | | 13288 |
| In Russian (Èçâ. ÐÀÍ. ÌÒÒ): | | 8164
|
| In English (Mech. Solids): | | 5124 |
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| << Previous article | Volume 60, Issue 4 / 2025 | Next article >> |
| A.P. Yankovskii, "Prediction of the Load-Bearing Capacity of Curved Rotating Reinforced Discs Made of Rigid-Plastic Various-Resistance Materials," Mech. Solids. 60 (4), 2398-2419 (2025) |
| Year |
2025 |
Volume |
60 |
Number |
4 |
Pages |
2398-2419 |
| DOI |
10.1134/S0025654424606980 |
| Title |
Prediction of the Load-Bearing Capacity of Curved Rotating Reinforced Discs Made of Rigid-Plastic Various-Resistance Materials |
| Author(s) |
A.P. Yankovskii (Khristianovich Institute of Theoretical and Applied Mechanics SB RAS, Novosibirsk, 630090 Russia, yankovsky_ap@itam.nsc.ru) |
| Abstract |
A problem on a conditional extremum that allows one to determine, based on the second
limiting state, the upper limit of the maximum angular velocity of rotation of an axisymmetrically
curved, fiber-reinforced disk is formulated. The structure is rigidly fixed to the vase or hub; blades can
be attached to the outer edge of the disc blade. The materials of the components of the composition
are assumed to be rigid-plastic, having asymmetry under tension and compression; the material of the
binding matrix may have cylindrical anisotropy. Plastic deformation of the components of the composition is associated with piecewise linear yield criteria. The reinforcement structures of the disc web
have meridional symmetry. A two-layer model of a curved disk with a plane-stress state in each of the
fictitious composite layers is used. The discretized problem is solved using the simplex method of linear programming theory. The developed numerical algorithm has been verified. Examples of numerical calculation of the maximum angular velocity of rotation of flat, conical and spherical homogeneous and composite disks with different degrees of their curvature are analyzed. The cases of reinforcement of the disk web along geodetic directions and logarithmic spirals, as well as along meridional
and circular trajectories, have been investigated. The comparison for disks of the same mass with the
same consumption of reinforcement has been carried out. It has been shown that composite disks with
a meridional-circumferential reinforcement structure have the highest load-bearing capacity. It has
been demonstrated that even a slight axisymmetric curvature of the disk web leads to a sharp decrease in its load-bearing capacity compared to a similar flat structure. |
| Keywords |
rotating disks, shells of revolution, fiber reinforcement, rigid-plastic model, limit state, upper bound for bearing capacity, piecewise linear yield criteria, different resistance, anisotropy, numerical solution, simplex-method of linear programming |
| Received |
19 November 2024 | Revised |
19 December 2024 | Accepted |
30 December 2024 |
| Link to Fulltext |
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