A wide class of analytical solutions of the Webster equation

Result code in 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>
Result on the web
<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>

Result language
angličtina
Original language name
A wide class of analytical solutions of the Webster equation
Original language description
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.
Czech name
—
Czech description
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Type
J<sub>imp</sub> - Article in a specialist periodical, which is included in the Web of Science database
CEP classification
—
OECD FORD branch
10307 - Acoustics

Project
<a href="/en/project/GA18-24954S" target="_blank" >GA18-24954S: Propagation of acoustic waves through phononic materials and structures</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Publication year
2020
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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