Transverse Wave Propagation in a Thin Isotropic Plate Part I

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F44555601%3A13420%2F22%3A43897127" target="_blank" >RIV/44555601:13420/22:43897127 - isvavai.cz</a>

Nalezeny alternativní kódy

RIV/68407700:21220/22:00361064

Výsledek na webu

<a href="https://doi.org/10.3390/app12052493" target="_blank" >https://doi.org/10.3390/app12052493</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.3390/app12052493" target="_blank" >10.3390/app12052493</a>

Jazyk výsledku

angličtina

Název v původním jazyce

Transverse Wave Propagation in a Thin Isotropic Plate Part I

Popis výsledku v původním jazyce

This article deals with the propagation of a transverse wave in a thin rectangular isotropicplate, which is fixed around the perimeter. The transverse wave is generated by an impact fallingon the geometric center of the plate. The solution is performed analytically in the MATLAB softwareenvironment for Kirchhoff and Rayleigh geometric models and model of Hooke. The introduction tothe article outlines a very brief history of the solution, followed by a general analytical solution. Thebasic relations for displacements and velocities in the direction of the x, y, z axes are derived. Underthe defined assumptions, the deformations in the individual axes and the rotation of the axes arealso solved. Part of the general solution is the derivation of relations for normal and shear stresses,as well as the magnitudes of shear and normal forces and bending moments. Attention is also paidto determining the relationships for different types of excitation loads of the board. The relations forKirchhoff and Rayleigh model are derived, as well as the results of the analytical solution atselected points of the plate. A comparison of the results of the solution of both models, i.e., Kirchhoffand Rayleigh, is performed, both in terms of displacements, velocities, and normal stresses.

Název v anglickém jazyce

Transverse Wave Propagation in a Thin Isotropic Plate Part I

Popis výsledku anglicky

This article deals with the propagation of a transverse wave in a thin rectangular isotropicplate, which is fixed around the perimeter. The transverse wave is generated by an impact fallingon the geometric center of the plate. The solution is performed analytically in the MATLAB softwareenvironment for Kirchhoff and Rayleigh geometric models and model of Hooke. The introduction tothe article outlines a very brief history of the solution, followed by a general analytical solution. Thebasic relations for displacements and velocities in the direction of the x, y, z axes are derived. Underthe defined assumptions, the deformations in the individual axes and the rotation of the axes arealso solved. Part of the general solution is the derivation of relations for normal and shear stresses,as well as the magnitudes of shear and normal forces and bending moments. Attention is also paidto determining the relationships for different types of excitation loads of the board. The relations forKirchhoff and Rayleigh model are derived, as well as the results of the analytical solution atselected points of the plate. A comparison of the results of the solution of both models, i.e., Kirchhoffand Rayleigh, is performed, both in terms of displacements, velocities, and normal stresses.

Druh

J_imp - Článek v periodiku v databázi Web of Science

CEP obor

—

OECD FORD obor

20301 - Mechanical engineering

Projekt

—

Návaznosti

S - Specificky vyzkum na vysokych skolach

Rok uplatnění

2022

Kód důvěrnosti údajů

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Název periodika

Applied Sciences

ISSN

2076-3417

e-ISSN

2076-3417

Svazek periodika

12

Číslo periodika v rámci svazku

5

Stát vydavatele periodika

CH - Švýcarská konfederace

Počet stran výsledku

19

Strana od-do

1-19

Kód UT WoS článku

000768779600001

EID výsledku v databázi Scopus

2-s2.0-85125780594