Computing a Transfer Function of the Poincare-Steklov Operator for a Functionally Graded Elastic Strip

被引：2

作者：

Bobylev, A. A. ^{[1
,2
]}

机构：

[1] Lomonosov Moscow State Univ, Fac Mech & Math, Theory Elast, Moscow, Russia

[2] Moscow Ctr Fundamental & Appl Math, Moscow, Russia

来源：

MOSCOW UNIVERSITY MECHANICS BULLETIN | 2023年 / 78卷 / 05期

关键词：

functionally graded elastic strip; Poincare-Steklovoperator; transfer function; asymptotic expansion; Padeapproximation;

D O I：

10.3103/S0027133023050023

中图分类号：

O3 [力学];

学科分类号：

08 ; 0801 ;

摘要：

A boundary value problem is considered in a functionally gradedelastic strip. A three-term asymptotic expansion of a transferfunction is obtained for the Poincare-Steklov operator thatmaps normal stresses to normal displacements on a part of thestrip boundary. Pade approximations are determined for theobtained asymptotic series. An approach to computing the transferfunction using the asymptotic series and the Pade approximationsis proposed, which reduces computational costs.

引用

页码：134 / 142

页数：9

共 42 条

[1] Computing a Transfer Function of the Poincaré–Steklov Operator for a Functionally Graded Elastic Strip
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[9] A Calderon multiplicative preconditioner for the electromagnetic Poincare-Steklov operator of a heterogeneous domain with scattering applications
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[10] 2-DIMENSIONAL APPROXIMATION OF THE SPECTRUM OF THE POINCARE-STEKLOV OPERATOR ASSOCIATED WITH THIN PLATES
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