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Infinite systems in problems for a stiffened rectangular plate

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Abstract

A method is proposed for obtaining analytic solutions of a set of infinite systems of linear algebraic equations arising in problems of elasticity for stiffened rectangular plates with stiffening ribs. The method is based on a transformation of a set of infinite systems to a single system and on determining a majorant of the function generating the system series with regard to the order of the unknowns. It is proved that the constructed solution satisfies the infinite system for large indices of the unknowns. The amount of computations is decreased, and the reliability of the results increases. Some realization examples are given.

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Author information

Authors and Affiliations

  1. Smolensk Auto Aggregate Plant AMO ZIL, ul. Gubenko 26, Smolensk, 214011, Russia

    M. F. Baburchenkov

  2. National Aviation University, pr. Kosmonavta Komarova 1, Kiev, 03680, Ukraine

    N. M. Borodachev

Authors
  1. M. F. Baburchenkov
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  2. N. M. Borodachev
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Correspondence to M. F. Baburchenkov.

Additional information

Original Russian Text © M.F. Baburchenkov, N.M. Borodachev, 2016, published in Izvestiya Akademii Nauk, Mekhanika Tverdogo Tela, 2016, No. 4, pp. 77–93.

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Baburchenkov, M.F., Borodachev, N.M. Infinite systems in problems for a stiffened rectangular plate. Mech. Solids 51, 436–450 (2016). https://doi.org/10.3103/S0025654416040075

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