Orthogonal polynomial methods for modeling elastodynamic wave propagation in elastic, piezoelectric and magneto-electro-elastic composites—A review

C Othmani, H Zhang, C Lü, YQ Wang, AR Kamali - Composite Structures, 2022 - Elsevier
The growing usage of elastic, piezoelectric and magneto-electro-elastic composites has
motivated the scientific and industrial communities to develop new numerical methods …

[PDF][PDF] Задачи о дисперсии волн в неоднородных волноводах: методы решения (обзор). Часть I

СИ Жаворонок - Механика композиционных материалов и …, 2022 - iampress.ru
АННОТАЦИЯ Представлен краткий обзор современного состояния и путей развития
методов исследования дисперсии волн в функционально-градиентных и слоистых …

Guided wave propagation in a three-layer functionally graded piezoelectric cylinder with graded-index effects

R Raghib, I Naciri, H Khalfi, L Elmaimouni, J Yu… - Structures, 2024 - Elsevier
The paper introduces a semi-analytical method, the Legendre polynomial approach (LPA),
for solving the three-dimensional axisymmetric vibrations problem induced by the …

GHz surface waves in Al/LiTaO3/Si composite: Effect of the Drude electrode on dispersion, attenuation and mode shapes

F Zhu, E Pan, N Li, Y Qu - Mechanics of Materials, 2024 - Elsevier
In fifth generation (5G) mobile communication, radio frequency is in the super high
frequency range (3–30 GHz). Thus, different from Ohm law, electrode loss at GHz frequency …

Axisymmetric free vibration modeling of a functionally graded piezoelectric resonator by a double Legendre polynomial method

H Khalfi, I Naciri, R Raghib, J Randrianarivelo, J Yu… - Acta Mechanica, 2024 - Springer
The paper presents a semi-analytical method, named the Double Legendre Polynomial
Method (DLPM), which is extended for modeling the axisymmetric free vibration of a …

Modal analysis and harmonic response of resonators: an extension of a mapped orthogonal functions technique

L Elmaimouni, E Lefebvre, FE Ratolojanahary, T Gryba… - Wave motion, 2011 - Elsevier
A mapped orthogonal functions technique is extended for solving three-dimensional
acoustical wave problems with taking into account electrical sources. For validation and …

Modeling of high contrast partially electroded resonators by means of a polynomial approach

PM Rabotovao, FE Ratolojanahary… - Journal of Applied …, 2013 - pubs.aip.org
This work presents the modeling of high contrast partially electroded resonators by means of
a polynomial approach. This method allows easily solving the equations that govern the …

Wave Propagation Characteristics in A MEMS Piezoelectric Annular Plate: A Semi-analytical Study

H Khalfi, I Naciri, R Raghib, L Elmaimouni… - Iranian Journal of …, 2024 - Springer
Our paper focuses on wave propagation in a circular annular piezoelectric plate with
hexagonal elastic symmetry used in Micro-Electromechanical Systems (MEMS). The …

Polynomial approach modeling of resonator piezoelectric disc

L Elmaimouni, JE Lefebvre… - Key Engineering …, 2011 - Trans Tech Publ
Legendre polynomial method which describes the structure and incorporates automatically
the boundary conditions in constitutive and propagation equations is used to model acoustic …

Two-dimensional Legendre polynomial modeling of composite bulk acoustic wave resonators

A Raherison, JE Lefebvre, FE Ratolojanahary… - Journal of Applied …, 2010 - pubs.aip.org
A bidimensional analysis of 6 mm hexagonal resonators is described using a double
orthonormal basis set for the expansion of field quantities. The analysis takes into account …