This article is cited in 6 papers

Mechanics

Transfer function calculation for the Poincaré–Steklov operator in the case of a functionally gradient elastic strip

A. A. Bobylev<sup>ab

a</sup> Lomonosov Moscow State University, Faculty of Mechanics and Mathematics
^b Moscow Center for Fundamental and Applied Mathematics

Abstract: A boundary value problem is considered in a functionally graded elastic strip. A three-term asymptotic expansion of a transfer function is obtained for the Poincaré–Steklov operator that maps normal stresses to normal displacements on a part of a strip boundary. Padé approximations are determined for the obtained asymptotic series. An approach to computing the transfer function using the asymptotic series and the Padé approximations is proposed, which reduces computational costs.

Key words: functionally graded elastic strip, Poincaré–Steklov operator, transfer function, asymptotic expansion, Padé approximation.

UDC: 539.3

Received: 09.03.2023

DOI: 10.55959/MSU0579-9368-1-64-5-8

 English version: Moscow University Mathematics Bulletin, Moscow University Mеchanics Bulletin, 2023, 78:5, 134–142

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