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Editor-in-Chief
Nikiforov
Vladimir O.
D.Sc., Prof.
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doi: 10.17586/2226-1494-2026-26-1-218-221
Solution of the formation problem of the antisymmetric forms stability loss for a highly elastic CFCF-plate
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Article in Russian
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Abstract
For citation:
Sosnovskaya A.A. Solution of the formation problem of the antisymmetric forms stability loss for a highly elastic CFCF-plate. Scientific and Technical Journal of Information Technologies, Mechanics and Optics, 2026, vol. 26, no. 1, pp. 218–221 (in Russian). doi: 10.17586/2226-1494-2026-26-1-218-221.
Abstract
Antisymmetric forms (A-A) of the stability loss of a highly elastic rectangular plate in which two parallel faces are pinched, and the other two are free (CFCF), under the influence of a compressive load on the pinched faces, are investigated. The desired shapes are represented by two odd hyperbolic-trigonometric series with coefficients which should ensure the exact fulfillment of all the conditions of the problem. The problem was reduced to solving a homogeneous infinite system of linear algebraic equations with respect to a single sequence of coefficients containing as a parameter the desired critical load which was found by “firing” during the iterative process. The first three critical loads for a square plate are found and their 3D images are presented. The results obtained can be used in calculations of sensitive elements of various sensors in microelectronics, biology, and medicine.
Keywords: CFCF-plate, critical loads, antisymmetric forms, hyperbolic-trigonometric series, iterative method
References
References
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