计算功能分级弹性带的 Poincaré-Steklov 算子的传递函数

IF 0.3 Q4 MECHANICS

Moscow University Mechanics Bulletin Pub Date : 2023-12-21 DOI:10.3103/S0027133023050023

A. A. Bobylev

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引用次数: 0

摘要

摘要研究了功能分级弹性带材的边界值问题。为将法向应力映射为带状边界部分的法向位移的 Poincaré-Steklov 算子求得了传递函数的三项渐近展开。对得到的渐近级数确定了帕代近似值。提出了使用渐近级数和 Padé 近似值计算传递函数的方法，从而降低了计算成本。

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Computing a Transfer Function of the Poincaré–Steklov Operator for a Functionally Graded Elastic Strip

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 the 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.

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来源期刊

Moscow University Mechanics Bulletin MECHANICS-

CiteScore

0.60

自引率

0.00%

发文量

期刊介绍： Moscow University Mechanics Bulletin is the journal of scientific publications, reflecting the most important areas of mechanics at Lomonosov Moscow State University. The journal is dedicated to research in theoretical mechanics, applied mechanics and motion control, hydrodynamics, aeromechanics, gas and wave dynamics, theory of elasticity, theory of elasticity and mechanics of composites.