Application of Legendre orthogonal polynomial method in calculating reflection and transmission coefficients of multilayer plates

DOI10.1016/J.WAVEMOTI.2018.09.007OpenAlexW2890757493WikidataQ129236978 ScholiaQ129236978MaRDI QIDQ2191904

He Cunfu, Song Guorong, Lee Yungchun, Liu Mingkun, Lyu Yan, Wu Bin

Publication date: 26 June 2020

Published in: Wave Motion (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.wavemoti.2018.09.007

zbMATH Keywords

reflection and transmission coefficientsmultilayer plateLegendre orthogonal polynomialscut-off orderdisplacement and stress profiles

Mathematics Subject Classification ID

Mechanics of deformable solids (74-XX) Fluid mechanics (76-XX)

Related Items (5)

An optimization technique for solving a class of nonlinear fractional optimal control problems: application in cancer treatment ⋮ Reflection and transmission of elastic waves in the multilayered orthotropic couple-stressed plates sandwiched between two elastic half-spaces ⋮ Novel operational matrices for solving 2-dim nonlinear variable order fractional optimal control problems via a new set of basis functions ⋮ Reflection behavior of elastic waves in the functionally graded piezoelectric microstructures ⋮ Elastic wave attenuation in a functionally graded viscoelastic couple stress plate, sandwiched between two elastic half-spaces

Cites Work

• Polynomial approach for modeling a piezoelectric disc resonator partially covered with electrodes
• Wave propagation in graded rings with rectangular cross-sections
• Transmission of Elastic Waves through a Stratified Solid Medium

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