A wide class of analytical solutions of the Webster equation

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68407700%3A21230%2F20%3A00340216" target="_blank" >RIV/68407700:21230/20:00340216 - isvavai.cz</a>

Výsledek na webu

<a href="https://doi.org/10.1016/j.jsv.2019.115169" target="_blank" >https://doi.org/10.1016/j.jsv.2019.115169</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1016/j.jsv.2019.115169" target="_blank" >10.1016/j.jsv.2019.115169</a>

Jazyk výsledku

angličtina

Název v původním jazyce

A wide class of analytical solutions of the Webster equation

Popis výsledku v původním jazyce

This paper aims at presenting closed-form general analytical solutions of the Webster equation describing plane elastic or acoustic waves. The considered radius functions of nonuniform cross-sectioned rods or ducts are based on the triconfluent Heun functions and contain some optional parameters enabling us to set various profiles of the radius functions in a relatively wide range, while it is possible to employ the presented exact general analytical solution of the Webster equation for all selected profiles. If the radius functions are predetermined, then the derived general analytical solution can also be employed for their triconfluent Heun approximations, including certain polynomial ones. The applicability and correctness of the derived analytical solutions are demonstrated by calculations of natural frequencies and mode shapes for representative radius functions while the results based on approximate analytical solutions are verified numerically. (C) 2019 Elsevier Ltd. All rights reserved.

Název v anglickém jazyce

A wide class of analytical solutions of the Webster equation

Popis výsledku anglicky

This paper aims at presenting closed-form general analytical solutions of the Webster equation describing plane elastic or acoustic waves. The considered radius functions of nonuniform cross-sectioned rods or ducts are based on the triconfluent Heun functions and contain some optional parameters enabling us to set various profiles of the radius functions in a relatively wide range, while it is possible to employ the presented exact general analytical solution of the Webster equation for all selected profiles. If the radius functions are predetermined, then the derived general analytical solution can also be employed for their triconfluent Heun approximations, including certain polynomial ones. The applicability and correctness of the derived analytical solutions are demonstrated by calculations of natural frequencies and mode shapes for representative radius functions while the results based on approximate analytical solutions are verified numerically. (C) 2019 Elsevier Ltd. All rights reserved.

Druh

J_imp - Článek v periodiku v databázi Web of Science

CEP obor

—

OECD FORD obor

10307 - Acoustics

Projekt

<a href="/cs/project/GA18-24954S" target="_blank" >GA18-24954S: Šíření akustických vln fononickými materiály a strukturami</a><br>

Návaznosti

P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Rok uplatnění

2020

Kód důvěrnosti údajů

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

Název periodika

Journal of Sound and Vibration

ISSN

0022-460X

e-ISSN

1095-8568

Svazek periodika

469

Číslo periodika v rámci svazku

115169

Stát vydavatele periodika

GB - Spojené království Velké Británie a Severního Irska

Počet stran výsledku

15

Strana od-do

—

Kód UT WoS článku

000508556500013

EID výsledku v databázi Scopus

2-s2.0-85077331020